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1.

図書
図書
1. Dynamic programming and partial differential equations
Edward Angel, Richard Bellman
出版情報: New York : Academic Press, 1972  xi, 204 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 88
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2.

図書
図書
2. Statistical inference under order restrictions : the theory and application of isotonic regression
R.E. Barlow ... [et al.]
出版情報: Chichester : New York : J. Wiley, c1972  xii, 388 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; no. 8
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3.

図書
図書
3. Regression and the Moore-Penrose pseudoinverse
[by] Arthur Albert
出版情報: New York : Academic Press, 1972  xiii, 180 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 94
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4.

図書
図書
4. Matrices and compact operators
F.V. Atkinson
出版情報: New York : Academic Press, c1972  xi, 209 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 82-1 . Multiparameter eigenvalue problems / [by] F.V. Atkinson ; v. 1
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5.

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図書
5. Cohomological methods in group theory
Ararat Babakhanian
出版情報: New York : M. Dekker, 1972  vii, 241 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 11
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図書
6. Baer *-rings (: gw ; : us)
[by] Sterling K. Berberian
出版情報: Berlin ; New York : Springer-Verlag, 1972  xiii, 296 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 195
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7.

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図書
7. Scientific truth and statistical method
Marcello Boldrini ; translated from the Italian by Ruth Kendall
出版情報: London : Griffin, 1972  xiv, 264 p., leaf ; 24 cm
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8.

図書
図書
8. Commutative algebra
Nicolas Bourbaki
出版情報: Paris : Hermann , Reading, Mass. : Addison-Wesley, c1972  xxiv, 625 p. ; 25 cm
シリーズ名: Elements of mathematics / Nicolas Bourbaki ; Actualites scientifiques et industrielles ; Adiwes international series in mathematics
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9.

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図書
9. Random integral equations
by A.T. Bharucha-Reid
出版情報: New York : Academic Press, 1972  xiii, 267 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; vol. 96
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10.

図書
図書
10. Elements of applied stochastic processes
U. Narayan Bhat
出版情報: New York : J. Wiley, c1972  xvi, 414 p. ; 23 cm
シリーズ名: Wiley series in probability and mathematical statistics
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目次情報: 続きを見る
Preface
Stochastic Processes: Description and Definition / 1：
Introduction / 1.1：
Description and Definition / 1.2：
Probability Distributions / 1.3：
The Markov Process / 1.4：
The Renewal Process / 1.5：
The Stationary Process / 1.6：
A Plan for the Remaining Chapters / 1.7：
References
Exercises
Elementary Review Exercises
Advanced Review Exercises
Markov Chains / 2：
The n-Step Transition Probability Matrix / 2.1：
Classification of States / 2.3：
A Canonical Representation of the Transition Probability Matrix / 2.4：
Classification of States in Practice / 2.5：
Finite Markov Chains with Transient States / 2.6：
Irreducible Markov Chains with Ergodic States / 3：
Transient Behavior / 3.1：
Limiting Behavior / 3.2：
First Passage and Related Results / 3.3：
Branching Processes and other Special Topics / 4：
Branching Processes / 4.1：
Markov Chains of Order Higher than 1 / 4.2：
Lumpable Markov Chains / 4.3：
Reversed Markov Chains / 4.4：
Statistical Inference for Markov Chains / 5：
Estimation of the Elements in a Transition Probability Matrix / 5.1：
Hypothesis Testing Issues for Markov Chains / 5.2：
Inference From Partially Observable Markov Chains / 5.3：
Statistical Inference for Branching Processes / 5.4：
Additional Comments / 5.5：
Applied Markov Chains / 6：
Queueing Models / 6.1：
Inventory Systems / 6.2：
Storage Models / 6.3：
Industrial Mobility of Labor / 6.4：
Educational Advancement / 6.5：
Human Resource Management / 6.6：
Term Structure / 6.7：
Income Determination under Uncertainty / 6.8：
A Markov Decision Process / 6.9：
Simple Markov Processes / 7：
Examples / 7.1：
Markov Processes: General Properties / 7.2：
The Poisson Process / 7.3：
The Pure Birth Process / 7.4：
The Pure Death Process / 7.5：
Birth and Death Processes / 7.6：
Limiting Distributions / 7.7：
Markovian Networks / 7.8：
Additional Examples / 7.9：
Statistical Inference for Simple Markov Processes / 8：
Estimation of Parameters / 8.1：
Hypothesis Testing for Simple Markov Processes / 8.2：
Statistical Inference for Queues / 8.3：
Applied Markov Processes / 8.4：
The Machine Interference Problem / 9.1：
Queueing Networks / 9.3：
Flexible Manufacturing Systems / 9.4：
Reliability Models / 9.5：
Markovian Combat Models / 9.7：
Stochastic Models for Social Networks / 9.8：
Recovery, Relapse, and Death Due to Disease / 9.9：
Renewal Processes / 10：
Renewal Processes when Time is Discrete / 10.1：
Renewal Processes when Time is Continuous / 10.3：
Alternating Renewal Processes / 10.4：
Markov Renewal Processes (Semi-Markov Processes) / 10.5：
Renewal Reward Processes / 10.6：
Statistical Inference for Renewal Processes / 10.7：
Stationary Processes and Time Series Analysis / 10.8：
Definition / 11.1：
Some Examples / 11.2：
Ergodic Theorems / 11.3：
Covariance Stationary Processes in the Frequency Domain / 11.4：
Time Series Analysis: Introduction / 11.5：
Stochastic Models for Time Series / 11.6：
The Autoregressive Process / 11.7：
The Moving Average Process / 11.8：
A Mixed Autoregressive Moving Average Process / 11.9：
Autoregressive Integrated Moving Average Processes / 11.10：
Time Series Analysis in the Time Domain / 11.11：
Spectral Analysis of Time Series Data / 11.12：
Simulation and Markov Chain Monte Carlo / 12：
Simulation / 12.1：
Markov Chain Monte Carlo / 12.3：
Answers to Selected Exercises
Appendix
Author Index
Subject Index
Preface
Stochastic Processes: Description and Definition / 1：
Introduction / 1.1：
11.

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図書
11. Nonserial dynamic programming
[by] Umberto Bertelè and Francesco Brioschi
出版情報: New York : Academic Press, 1972  xii, 235 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 91
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12.

図書
図書
12. Tensor analysis and continuum mechanics (: us ; : gw)
Wilhelm Flügge
出版情報: Berlin : Springer-Verlag, 1972  vii, 207 p. ; 24 cm
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13.

図書
図書
13. Introduction to compact transformation groups
Glen E. Bredon
出版情報: New York : Academic Press, 1972  xiii, 459 p. ; 23 cm
シリーズ名: Pure and applied mathematics ; v. 46
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14. Theta functions (: gw ; : us ; : gw : [pbk.])
Jun-ichi Igusa
出版情報: Berlin ; New York : Springer-Verlag, 1972  x, 232 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 194
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15.

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15. Fundamental concepts of topology
Peter V. O'Neil
出版情報: New York : Gordon and Breach Science Publishers, c1972  xv, 320 p ; 24 cm
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16.

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図書
16. Boundary behavior of holomorphic functions of several complex variables
by E. M. Stein
出版情報: Princeton, N.J. : Princeton University Press, 1972  ix, 72 p ; 24 cm
シリーズ名: Mathematical notes
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17.

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17. Differential equations: theory and use in time and motion
[by] Alice B. Dickinson
出版情報: Reading, Mass. : Addison-Wesley, c1972  ix, 271 p ; 25 cm
シリーズ名: Addison-Wesley series in mathematics / Eric Reissner, consulting editor
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18.

図書
図書
18. Differential equations of the second order with retarded argument : some problems of the theory of vibrations of systems with retardation
by S.B. Norkin ; [translated from the Russian by L.J. Grimm and K. Schmitt]
出版情報: Providence, R.I. : American Mathematical Society, 1972  vi, 285 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 31
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19.

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図書
19. The fascination of groups
F.J. Budden
出版情報: Cambridge [Eng.] : Cambridge University Press, 1972  xv, 596 p. ; 24 cm
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20.

図書
図書
20. Techniques of optimization : [papers]
edited by A.V. Balakrishnan
出版情報: New York : Academic Press, 1972  ix, 509 p. ; 23 cm
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21.

図書
図書
21. Numerical methods for non-linear optimization
edited by F.A. Lootsma
出版情報: London ; New York : Academic Press, 1972  xiv, 440 p. ; 24 cm
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22.

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22. Dedekind sums
by Hans Rademacher and Emil Grosswald
出版情報: [Washington] : Mathematical Association of America, c1972  xvi, 102 p. ; 20 cm
シリーズ名: The Carus mathematical monographs ; no. 16
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23.

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23. Discrete subgroups of Lie groups (: us ; : gw)
[by] M.S. Raghunathan
出版情報: New York ; Berlin : Springer-Verlag, 1972  viii, 226 p. ; 24 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; Bd. 68
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24.

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図書
24. Multiplicative ideal theory
Robert Gilmer
出版情報: New York : M. Dekker, 1972  x, 609 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 12
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25.

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25. Markov processes and learning models
M. Frank Norman
出版情報: New York : Academic Press, 1972  xiii, 274 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 84
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26.

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26. Flows in transportation networks
Renfrey B. Potts, Robert M. Oliver
出版情報: New York : Academic Press, 1972  xi, 192 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 90
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27.

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図書
27. Likelihood : an account of the statistical concept of likelihood and its application to scientific inference
[by] A.W.F. Edwards
出版情報: Cambridge [England] : Cambridge University Press, 1972  xv, 235 p. ; 23 cm
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28.

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図書
28. Symmetry groups and their applications
Willard Miller, Jr.
出版情報: New York : Academic Press, 1972  x, 432 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 50
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29.

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図書
29. Measure and integration theory on infinite-dimensional spaces : abstract harmonic analysis
Xia Dao-xing ; translated by Elmer J. Brody
出版情報: New York : Academic Press, 1972  x, 425 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 48
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30.

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図書
30. The thermodynamics of simple materials with fading memory (: Germany ; : U.S.)
William Alan Day
出版情報: Berlin ; New York : Springer-Verlag, 1972  x, 134 p. ; 24 cm
シリーズ名: Springer tracts in natural philosophy ; v. 22
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31.

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図書
31. Profinite groups, arithmetic, and geometry
by Stephen S. Shatz
出版情報: [Princeton, N.J.] : Princeton University Press , [Tokyo] : University of Tokyo Press, 1972  x, 252 p. ; 24 cm
シリーズ名: Annals of mathematics studies ; no. 67
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32.

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図書
32. The zeta-function of Riemann
by E. C. Titchmarsh
出版情報: New York : Hafner Publishing, 1972  104 p. ; 23 cm
シリーズ名: Cambridge tracts in mathematics and mathematical physics ; no. 26
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33.

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図書
33. Lectures on p-adic L-functions
by Kenkichi Iwasawa
出版情報: Tokyo : The University Press, 1972  vii, 106 p. ; 24 cm
シリーズ名: Tokyo University international edition ; no.73
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34.

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34. Introduction to metric spaces
C. G. C. Pitts
出版情報: Edinburgh : Oliver & Boyd., [c1972]  viii, 198 p ; 22 cm
シリーズ名: University mathematical texts
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35.

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図書
35. Calculus of one variable (: pbk)
K.E. Hirst
出版情報: London : Allen and Unwin, 1972  vii, 85 p. ; 23 cm
シリーズ名: Problem solvers ; no. 5
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36.

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図書
36. General theory
by Antonio Kumpera and Donald Spencer
出版情報: Princeton, N.J. : Princeton University Press , Tokyo : University of Tokyo Press, 1972  xv, 293 p. ; 24 cm
シリーズ名: Annals of mathematics studies ; no. 73 . Lie equations / by Antonio Kumpera and Donald Spencer ; v. 1
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37.

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図書
37. Elements of number theory : including an introduction to equations over finite fields
[by] Kenneth Ireland [and] Michael I. Rosen
出版情報: Tarrrytown-on-Hudson, N.Y. : Bogden & Quigley, [1972]  vi, 169 p ; 24 cm
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38.

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図書
38. Introduction to statistics. [1st ed.]
Herbert Friedman
出版情報: New York : Random House, [1972]  xi, 334 p. ; 25 cm
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39.

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39. The Neumann problem for the Cauchy-Riemann complex
by G.B. Folland and J.J. Kohn
出版情報: Princeton, N.J. : Princeton University Press , Tokyo : University of Tokyo Press, 1972  viii, 146 p. ; 24 cm
シリーズ名: Annals of mathematics studies ; no. 75
Tokyo University international edition ; no. 74
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40.

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40. General sensitivity theory
Rajko Tomović and Miomir Vukobratović
出版情報: New York : American Elsevier Pub. Co, c1972  258 p. ; 24 cm
シリーズ名: Modern analytic and computational methods in science and mathematics ; v. 35
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41.

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41. Perspectives in mathematics
[by] David E. Penney
出版情報: Menlo Park, Calif. : W. A. Benjamin, [1972]  xiv, 349 p ; 24 cm
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42.

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図書
42. Metric linear spaces
Stefan Rolewicz
出版情報: Warszawa : PWN-Polish Scientific, c1972  287 p. ; 25 cm
シリーズ名: Monografie matematyczne ; t. 56
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43.

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図書
43. Branching processes (: gw ; : us)
[by] K.B. Athreya [and] P.E. Ney
出版情報: Berlin ; New York : Springer-Verlag, 1972  xi, 287 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 196
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目次情報: 続きを見る
The Galton-Watson Process / Chapter I.：
Preliminaries / Part A.：
The Basic Setting / 1.：
Moments / 2.：
Elementary Properties of Generating Functions / 3.：
An Important Example / 4.：
Extinction Probability / 5.：
A First Look at Limit Theorems / Part B.：
Motivating Remarks / 6.：
Ratio Theorems / 7.：
Conditioned Limit Laws / 8.：
The Exponential Limit Law for the Critical Process / 9.：
Finer Limit Theorems / Part C.：
Strong Convergence in the Supercritical Case / 10.：
Geometric Convergence of f[subscript n](s) in the Noncritical Cases / 11.：
Further Ramifications / Part D.：
Decomposition of the Supercritical Branching Process / 12.：
Second Order Properties of Z[subscript n]/m[superscript n] / 13.：
The Q-Process / 14.：
More on Conditioning; Limiting Diffusions / 15.：
Complements and Problems I
Potential Theory / Chapter II.：
Introduction
Stationary Measures: Existence, Uniqueness, and Representation
The Local Limit Theorem for the Critical Case
The Local Limit Theorem for the Supercritical Case
Further Properties of W; A Sharp Global Limit Law; Positivity of the Density
Asymptotic Properties of Stationary Measures
Green Function Behavior
Harmonic Functions
The Space-Time Boundary
Complements and Problems II
One Dimensional Continuous Time Markov Branching Processes / Chapter III.：
Definition
Construction
Generating Functions
Extinction Probability and Moments
Examples: Binary Fission, Birth and Death Process
The Embedded Galton-Watson Process and Applications to Moments
Limit Theorems
More on Generating Functions
Split Times
Second Order Properties
Constructions Related to Poisson Processes
The Embeddability Problem
Complements and Problems III
Age-Dependent Processes / Chapter IV.：
Existence and Uniqueness
Comparison with Galton-Watson Process; Embedded Generation Process; Extinction Probability
Renewal Theory
Asymptotic Behavior of F(s, t) in the Critical Case
Asymptotic Behavior of F(s, t) when m[not equal]1: The Malthusian Case
Asymptotic Behavior of F(s, t) when m[not equal]1: Sub-Exponential Case
The Exponential Limit Law in the Critical Case
The Limit Law for the Subcritical Age-Dependent Process
Limit Theorems for the Supercritical Case
Complements and Problems IV
Multi-Type Branching Processes / Chapter V.：
Introduction and Definitions
Moments and the Frobenius Theorem
Extinction Probability and Transience
Limit Theorems for the Subcritical Case
Limit Theorems for the Critical Case
The Supercritical Case and Geometric Growth
The Continuous Time, Multitype Markov Case
Linear Functionals of Supercritical Processes
Embedding of Urn Schemes into Continuous Time Markov Branching Processes
The Multitype Age-Dependent Process
Complements and Problems V
Special Processes / Chapter VI.：
A One Dimensional Branching Random Walk
Cascades; Distributions of Generations
Branching Diffusions
Martingale Methods
Branching Processes with Random Environments
Continuous State Branching Processes
Immigration
Instability
Complements and Problems VI
Bibliography
List of Symbols
Author Index
Subject Index
The Galton-Watson Process / Chapter I.：
Preliminaries / Part A.：
The Basic Setting / 1.：
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図書
44. Fourier analysis in probability theory
Tatsuo Kawata
出版情報: New York : Academic Press, 1972  xii, 668 p. ; 23 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; 15
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45.

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45. Transformation groups in differential geometry (: gw ; : us)
Shoshichi Kobayashi
出版情報: Berlin : Springer-Verlag, 1972  viii, 182 p. ; 24 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; Bd. 70
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46.

雑誌
雑誌
46. Geometriae dedicata
出版情報: Dordrecht : D. Reidel Publishing Company  v.
巻次年月次: Vol. 1, no. 1 (1972)-
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47.

雑誌
雑誌
47. Hokkaido mathematical journal
北海道大学理学部数学科
出版情報: Hokkaido : Dept. of Mathematics, Faculty of Science, Hokkaido University, [1972]-  v. ; 26 cm
巻次年月次: Vol. 1, no. 1 (1972)-
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48. The analysis of linear integral equations
James Alan Cochran
出版情報: New York : McGraw-Hill, c1972  xi, 370 p. ; 23 cm
シリーズ名: McGraw-Hill series in modern applied mathematics
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49.

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49. Methods of Hilbert spaces. 2nd ed
Krzysztof Maurin ; Translated from the Polish by Andrzej Alexiewicz and Wacław Zawadowski
出版情報: Warszawa : Polish Scientific Publishers, 1972  553 p ; 25 cm
シリーズ名: Monografie matematyczne ; t. 45
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50. Families of frequency distributions
J.K. Ord
出版情報: London : Griffin, 1972  viii, 231 p. ; 22 cm
シリーズ名: Griffin's statistical monographs & courses ; no. 30
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51. Approximation of elliptic boundary-value problems
Jean-Pierre Aubin
出版情報: New York : Wiley-Interscience, c1972  xvii, 360 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 26
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目次情報: 続きを見る
Introduction
Aim and Scope / 1：
Neumann Problems / 2：
Introduction of Internal Approximations / 3：
Properties of Internal Approximations / 4：
Stability, Optimal Stability, and Regularity of the Convergence / 5：
The Case of Operators Mapping a Hilbert Space onto Its Dual / 6：
Finite-Element Approximations of Sobolev Spaces / 7：
Approximation of Nonhomogeneous Neumann Problems / 8：
Approximations of Nonhomogeneous Dirichlet Problems / 9：
A Posteriori Error Estimates / 10：
External and Partial Approximations / 11：
General Outline / 12：
Approximation of Solutions of Neumann Problems for Second-Order Linear Differential Equations
Weak Solutions of Neumann Problems for Second-Order Linear Differential Operators
The Neumann Boundary-Value Problem / 1-1：
Definition of Distributions / 1-2：
Weak Derivatives of a Distribution / 1-3：
Variational Formulation of the Problem / 1-4：
Weak Solutions of the Neumann Boundary-Value Problem / 1-5：
Sobolev Spaces / 1-6：
The Lax-Milgram Theorem / 1-7：
Approximation of an Abstract Variational Problem
The Galerkin Approximation of a Separable Hilbert Space / 2-1：
Approximation of a Hilbert Space / 2-2：
Internal Approximation of a Variational Equation / 2-3：
Existence, Uniqueness, and Convergence Properties / 2-4：
Estimates of Global Error / 2-5：
What Kind of Approximations Should Be Chosen? / 2-6：
Examples of Approximations of Sobolev Spaces
Piecewise-Linear Approximations of the Sobolev Space H[superscript 1] (I) / 3-1：
Estimates of Error Functions of Piecewise-Linear Approximations / 3-2：
Examples of Approximate Equations
Construction of a Finite-Difference Scheme / 4-1：
A Simpler Finite-Difference Scheme / 4-2：
Approximations of Hilbert Spaces
Hilbert Spaces and Their Duals
Dual of a Hilbert Space and Canonical Isometry
Example: Finite-Dimensional Hilbert Spaces
Hahn-Banach Theorem
Dual of a Dense Subspace
Imbedding of a Space into Its Dual
Example: Imbedding of Spaces of Functions into Spaces of Distributions
Dual of Closed Subspaces and Factor Spaces
Applications to Error Estimates / 1-8：
Dual of a Product / 1-9：
Dual of Domains of Operators / 1-10：
Examples: Dual of Sobolev Spaces H[subscript 0 superscript m](I) / 1-11：
Properties of Bounded Sets of Operators; Uniform Boundedness / 1-12：
Banach Theorem / 1-13：
Dual of Sobolev Spaces H[superscript m](I) / 1-14：
The Riesz-Fredholm Alternative / 1-15：
V-Elliptic and Coercive Operators / 1-16：
Quasi-Optimal Approximations
Stability Functions
Duality Relations between Error and Stability Functions
Estimates of the Stability Functions
Quasi-Optimal Approximations; Estimate of the Error Function
Truncation Errors and Error Functions
Optimal Approximations
Eigenvalues and Eigenvectors of Symmetric Compact Operators
Optimal Galerkin Approximations
Convergence and Optimality Properties / 3-3：
Spaces H[subscript Theta] / 3-4：
Optimal Restrictions and Prolongations; Applications
Optimal Restrictions and Prolongations
Dual Approximations
Construction of Optimal Prolongations and Restrictions / 4-3：
Miscellaneous Remarks / 4-4：
Characterization of Error and Stability Functions / 4-5：
Spaces of Order [Theta] / 4-6：
Approximation of Operators
Internal Approximations
Construction of an Internal Approximate Equation
The Case of Finite-Dimensional Discrete Spaces
The Case of Operators from V onto V[prime]
Stability of Internal Approximations of Operators
Convergence and Error Estimates
Approximation of a Sum of an Isomorphism and a Compact Operator
Approximation of Coercive and V-Elliptic Operators
Optimal and Quasi-Optimal Stability
Regularity of the Convergence and Estimates of Error in Terms of n-Width
Stability and Convergence in Smaller Spaces
Stability and Convergence in Larger Spaces
Approximation of the Value of a Functional at a Solution
Discrete Convergence, Consistency, and Optimal Approximation of Linear Operators
Discrete Convergence and Consistency
Optimal Approximation of Operators and Internal Approximations
Estimates of Error and Discrete Errors
Finite-Element Approximation of Functions of One Variable
Approximation of Functions of L[superscript 2] by Step Functions and by Convolution
The Space L[superscript 2] and the Discrete Space L[subscript h superscript 2]]
The Prolongations P[subscript h superscript 0]
The Restrictions r[subscript h]
The Theorem of Convergence
Convolution of Functions and Measures
Approximation by Convolution
Piecewise-Polynomial Approximations of Sobolev Spaces H[superscript m]
Finite-Difference Operators
Construction of Approximations of the Space H[superscript m]
Convergence Theorem
Explicit Form of Functions [Pi subscript m]
Properties of the Prolongations p[subscript h superscript m]
Optimal Properties of Prolongations p[subscript h superscript m] / 2-7：
Finite-Element Approximations of Sobolev Spaces H[superscript m]
Finite-Element Approximations
The Criterion of m-Convergence
Characterization of Convergent Finite-Element Approximations
Stability Properties of Finite-Element Approximations
Finite-Element Approximation of Functions of Several Variables
Approximations of the Sobolev Spaces H[superscript m](R[superscript n])
Notations
(2m + 1)[superscript n]-Level Piecewise-Polynomial Approximations
[2(2m)[superscript n] - (2m - 1)[superscript n]]-Level Piecewise-Polynomial Approximations
Approximations of the Sobolev Spaces H[superscript m]([Omega])
Sobolev Spaces H[superscript m]([Omega])
Finite-Element Approximations of H[superscript m]([Omega])
Quasi-Optimal Finite-Element Approximations of H[superscript m]([Omega])
Piecewise-Polynomial Approximations of H[superscript m]([Omega])
Approximation of the Sobolev Spaces H[subscript 0 superscript m]([Omega])
Sobolev Spaces H[subscript 0 superscript m]([Omega])
Finite-Element Approximations of H[subscript 0 superscript m]([Omega])
Convergent Finite-Element Approximations of H[subscript 0 superscript m]([Omega])
Boundary-Value Problems and the Trace Theorem
Some Variational Boundary-Value Problems for the Laplacian
The Laplacian
Characterization of Sobolev Spaces H[subscript 0 superscript 1]([Omega])
The Green Formula
The Dirichlet Problem for the Laplacian
The Neumann Problem for the Laplacian
A Mixed Problem for the Laplacian
An Oblique Problem for the Laplacian
Existence and Uniqueness of the Solutions
Variational Boundary-Value Problems and Their Adjoints
Spaces V, H and Operator [gamma]
Formal Operator [Lambda] Associated with a(u, v)
Abstract Neumann and Dirichlet Problems Associated with a(u, v)
Mixed Type Boundary-Value Problems Associated with a(u, v)
Existence and Uniqueness of the Solutions of Boundary-Value Problems
Formal Adjoint of an Operator and Green's Formula
Theorems of Regularity / 2-8：
The Trace Theorem and Properties of Sobolev Spaces
Statement of the Trace Theorem
Change of Coordinates
Sobolev Spaces H[superscript s](R[superscript n]) for Real Numbers s
Sobolev Spaces H[superscript s]([Gamma] and H[superscript s]([Omega])
Trace Operators and Operators of Extension: Theorems of Density / 3-5：
Properties of the Spaces H[superscript m](R[subscript + superscript n]) / 3-6：
Proof of the Trace Theorem / 3-7：
Sobolev Inequalities and the Trace Theorem in Space H[superscript s]([Omega]) / 3-8：
Theorem of Compactness / 3-9：
Examples of Boundary-Value Problems
Boundary-Value Problems for Second-Order Differential Operators
Second-Order Linear Differential Operators
Elliptic Second-Order Partial Differential Operators
The Dirichlet Problem
The Neumann Problem
Mixed Problems
Oblique Problems
Interface Problems
The Regularity Theorem
Theorems of Isomorphism
Value of the Solution at a Point of the Boundary
Problems with Elliptic Differential Boundary Conditions
Boundary-Value Problems for Differential Operators of Higher Order
Linear Differential Operators of Order 2k
Regularity and Theorems of Isomorphism
Other Boundary-Value Problems
Boundary Value Problems for [Delta][superscript 2] + [lambda]
Approximation of Neumann-Type Problems
Theorems of Convergence and Error Estimates
Internal Approximation of a Neumann-type Problem
Convergence and Estimates of Error in Larger Spaces
Approximation of Neumann Problems for Elliptic Operators of Order 2k
Approximation of Neumann Problems for Elliptic Differential Operators
Convergence Properties of Finite Element Approximations of Neumann Problems
The (2m + 1)[superscript n]-Level Approximations of the Neumann Problem
The [2(2m)[superscript n] - (2m - 1)[superscript n]]-Level Approximations of the Neumann Problem
Approximations of the Spaces H[superscript k]([Omega], [Lambda] and H([Omega], [Lambda]
Approximation of Other Neumann-Type Problems
Approximation of the Value of the Solution at a Point of the Boundary
Approximation of Oblique Boundary-Value Problems
Approximation of a Problem with Elliptic Boundary Conditions
Approximation of Interface Problems
Approximation of the Neumann Problem for [Delta][superscript 2] + [gamma]
Perturbed Approximations and Least-Squares Approximations
Perturbed Approximations
Internal Approximation of a Variational Boundary-Value Problem
Perturbed Approximation of a Variational Boundary-Value Problem
Convergence in the Initial Space
Estimates of Error
Convergence in Smaller Spaces
Convergence in Larger Spaces
Perturbed Approximations of Boundary-Value Problems
Perturbed Approximations by Finite-Element Approximations
Error Estimates and Regularity of the Convergence
The 3[superscript n]-level Perturbed Approximation of the Dirichlet Problem
Least-Squares Approximations
Least-Squares Approximation Schemes
Error Estimates (I)
Error Estimates (II)
Least-Squares Approximations of Dirichlet Problems
Conjugate Problems and A Posteriori Error Estimates
Conjugate Problems of Boundary-Value Problems
First Example of a Conjugate Problem
Second Example of a Conjugate Problem
Construction of Conjugate Problems
Applications to the Approximation of Dirichlet Problems
Approximation of the Dirichlet Problem (I)
Approximation of the Dirichlet Problem (II)
The Case of Second-Order Differential Operators
Finite-Element Approximations of the Spaces H[superscript k]([Omega], D*)
Spaces H[superscript k]([Omega], D*)
Approximations of the Space H[superscript k]([Omega], D*)
Approximation of the Second Example of a Conjugate Problem
Approximation of the Conjugate Dirichlet Problem
Properties of the Discrete Conjugate Problem
External Approximations; Stability, Convergence, and Error Estimates
Definition of External Approximations
Example: Partial Approximations of a Finite Intersection of Spaces
Stability and Convergence of External Approximations of Operators
Estimates of Error and Regularity of the Convergence
Properties of the External Error Functions
External and Partial Approximations of Variational Equations
Partial Approximation of a Split Variational Equation
External Approximation of Variational Equations
Partial Approximation of Neumann Problems
Perturbed Partial Approximation of Boundary-Value Problems
Partial Approximations of Sobolev Spaces
Spaces H([Omega], D[subscript i])
Partial Approximations of the Sobolev Space H[superscript 1]([Omega])
Estimates of Truncation Errors and External Error Functions
Partial Approximations of the Sobolev Spaces H[superscript m]([Omega]) and H[subscript 0 superscript m]([Omega])
Partial Approximation of Boundary-Value Problems
Partial Approximation of Second-Order Linear Operators
Partial Approximation of the Neumann Problem
Perturbed Partial Approximation of Mixed Boundary-Value Problems
Estimates of Error in the Interior
Partial Approximations of Higher-Order Differential Operators
Comments
References
Index
Introduction
Aim and Scope / 1：
Neumann Problems / 2：
52.

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図書
52. Generators and relations for discrete groups. 3d ed
[by] H. S. M. Coxeter [and] W. O. J. Moser
出版情報: Berlin ; New York : Springer-Verlag, 1972  ix, 161 p ; 24 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; Bd. 14
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53.

図書
図書
53. Stochastic point processes : statistical analysis, theory, and applications
Peter A. W. Lewis, editor
出版情報: New York : Wiley-Interscience, c1972  xxii, 894 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics
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54.

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図書
54. Frontiers of pattern recognition : the proceedings of the International Conference on Frontiers of Pattern Recognition
edited by Satosi Watanabe
出版情報: New York ; London : Academic Press, 1972  xi, 602 p. ; 24 cm
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55.

図書
図書
55. Introduction to systems theory. International student ed
[by] Stephen W. Director [and] Ronald A. Rohrer
出版情報: Tokyo : McGraw-Hill Kôgakusha, c1972  xii, 441 p. ; 21 cm
シリーズ名: McGraw-Hill series in electronics systems
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56.

図書
図書
56. Two-point boundary value problems : shooting methods
[by] Sanford M. Roberts [and] Jerome S. Shipman
出版情報: New York : American Elsevier Pub. Co, [1972]  xii, 269 p. ; 24 cm
シリーズ名: Modern analytic and computational methods in science and mathematics ; v. 31
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57.

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図書
57. Complex analytic varieties
Hassler Whitney
出版情報: Reading, Mass. : Addison-Wesley, c1972  xii, 399 p. ; 25 cm
シリーズ名: Addison-Wesley series in mathematics / Eric Reissner, consulting editor
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58.

図書
図書
58. The generalized jackknife statistic
[by] H. L. Gray and W. R. Schucany
出版情報: New York : M. Dekker, 1972  x, 308 p ; 23 cm
シリーズ名: Statistics : textbooks and monographs ; v. 1
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59.

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図書
59. Abstract Lie algebras
[by] David J. Winter
出版情報: Cambridge, Mass. : MIT Press, c1972  viii, 150 p ; 24 cm
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60.

図書
図書
60. Principles of linear algebra (: pbk.)
[by] J. Larrieu ; translated from the French by Marina Smith-Kok
出版情報: New York : Gordon and Breach, [1972]  273 p. ; 24 cm
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61.

図書
図書
61. Algebraic geometry, Oslo 1970 : proceedings of the 5th Nordic Summer-School in Mathematics, Oslo, August 5-25, 1970
F. Oort, editor
出版情報: Groningen : Wolters-Noordhoff, c1972  vii, 332 p. ; 25 cm
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62.

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図書
62. Algebraic numbers and harmonic analysis (: ne ; : us)
Yves Meyer
出版情報: Amsterdam : North-Holland Pub. Co., 1972  x, 274 p. ; 23 cm
シリーズ名: North-Holland mathematical library ; v. 2
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63.

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図書
63. Introduction to algebra
[By] R. Kochendörffer
出版情報: Groningen : Wolters-Noordhoff Publishing, 1972  x, 414 p. ; 24 cm
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64.

図書
図書
64. Groups of automorphisms of algebraic systems
B.I. Plotkin ; translated from the Russian by K.A. Hirsch
出版情報: Groningen : Wolters Noordhoff Pub., c1972  xviii, 502 p. ; 24 cm
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65.

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図書
65. Automorphic forms and Kleinian groups (: cloth ; : pbk)
Irwin Kra
出版情報: Reading, Mass. : W.A. Benjamin, 1972  xiv, 464 p. ; 23 cm
シリーズ名: Mathematics lecture note series
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66.

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図書
66. A method for studying model hamiltonians : a minimax principle for problems in statistical physics
by N.N. Bogolyubov, Jr. ; Translated and edited by P.J. Shepherd
出版情報: Oxford ; New York : Pergamon Press, 1972  x, 170 p. ; 22 cm
シリーズ名: International series of monographs in natural philosophy ; v. 43
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67.

図書
図書
67. Theory of sets and topology : in honour of Felix Housdorff (1868-1942)
edited by Günter Asser, Jürgen Flachsmeyer and Willi Rinow
出版情報: Berlin : Deutscher Verlag der Wissenschaften, 1972  525 p. ; 25 cm
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68.

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図書
68. Functional analysis
N.Ya. Vilenkin ... [et al.] ; translated from the Russian by Richard E. Flaherty ; English edition edited by George F. Votruba ; with the collaboration of Leo F. Boron ; S.G. Krein (editor)
出版情報: Groningen : Wolters-Noordhoff, c1972  xv, 379 p. ; 23 cm
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69.

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図書
69. Residuation theory. [1st ed.]
[by] T.S. Blyth [and] M.F. Janowitz
出版情報: Oxford : Pergamon Press, [1972]  ix, 382 p ; 21 cm
シリーズ名: International series of monographs on pure and applied mathematics ; v.102
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70.

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図書
70. Approximate solution of operator equations
M. A. Krasnoselʹskii ... [et al.] ; translated by D. Louvish
出版情報: Groningen : Wolters-Noordhoff Pub., c1972  xii, 484 p. ; 23 cm
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71.

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図書
71. Probability theory and elements of measure theory
Heinz Bauer ; translated by Lisa Rosenblatt
出版情報: New York : Holt, Rinehart and Winston, [1972]  xiii, 427 p. ; 24 cm
シリーズ名: International series in decision processes
Series in quantitative methods for decision-making
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72.

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図書
72. Saturated model theory (: hard ; : pbk)
Gerald E. Sacks
出版情報: Reading, Mass. : W.A. Benjamin, 1972  xii, 335 p. ; 23 cm
シリーズ名: Mathematics lecture note series
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73.

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図書
73. Dirichlet series : Principles and methods
S. Mandelbrojt
出版情報: Dordrecht : Reidel, c1972  x, 166 p. ; 23 cm
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74.

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図書
74. Matrices and vector spaces (pbk)
F. Brickell
出版情報: London : Allen and Unwin, 1972  [5], 88 p. ; 23 cm
シリーズ名: Problem solvers ; no. 8
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75.

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図書
75. A handbook of terms used in algebra and analysis (: pbk)
compiled by A. G. Howson
出版情報: Cambridge [Eng.] : University Press, 1972  ix, 238 p. ; 22 cm
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目次情報: 続きを見る
Some mathematical language / 1：
Sets and functions / 2：
Equivalence relations and quotient sets / 3：
Number systems I / 4：
Groups I / 5：
Rings and fields / 6：
Homomorphisms and quotient algebra's / 7：
Vector spaces and matrices / 8：
Linear Equations and rank / 9：
Determinants and multi linear mappings / 10：
Polynomials / 11：
Groups II / 12：
Number systems II / 13：
Fields and polynomials / 14：
Lattices and Boolean algebra / 15：
Ordinal numbers / 16：
Eigenvectors and eigenvalues / 17：
Quadratic forms and inner products / 18：
Categories and functors / 19：
Metric spaces and continuity / 20：
Topological spaces and continuity / 21：
Metric Spaces II / 22：
The real numbers / 23：
Real-valued function of real variable / 24：
Differentiable functions of one variable / 25：
Functions of several real variables / 26：
Integration / 27：
Infinite series and products / 28：
Improper integrals / 29：
Curves and arc length / 30：
Functions of a complex variable / 31：
Multiple integrals / 32：
Logarithmic, exponential and trigonometric functions / 33：
Vector algebra / 34：
Vector calculus / 35：
Line and surface integrals / 36：
Measure and lebesgue integration / 37：
Fourier series / 38：
some 'named' theorems and properties / Appendix 1：
Alphabets used in mathematics / Appendix 2：
Index of symbols
Subject index
Some mathematical language / 1：
Sets and functions / 2：
Equivalence relations and quotient sets / 3：
76.

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76. Euclidean geometry and transformations
[by] Clayton W. Dodge
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, [1972]  vii, 295 p ; 25 cm
シリーズ名: Addison-Wesley series in mathematics / Eric Reissner, consulting editor
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77.

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77. Exercises in group theory
E.S. Lyapin, A.Ya. Aizenshtat, and M.M. Lesokhin ; translated by David E. Zitarelli
出版情報: New York : Plenum Press, 1972  xiii, 240 p. ; 24 cm
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78.

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図書
78. Potential theory on harmonic spaces (: gw ; : us)
[by] Corneliu Constantinescu [and] Aurel Cornea
出版情報: Berlin ; New York : Springer-Verlag, 1972  viii, 354 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 158
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79.

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図書
79. Introduction to probability models
by Sheldon M. Ross
出版情報: New York : Academic Press, 1972  xiii, 272 p. ; 23 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; v. 10
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目次情報: 続きを見る
Preface
Introduction to Probability Theory / 1：
Random Variables / 2：
Conditional Probability and Conditional Expectation / 3：
Markov Chains / 4：
The Exponential Distribution and the Poisson Process / 5：
Continuous-Time Markov Chains / 6：
Renewal Theory and Its Applications / 7：
Queueing Theory / 8：
Reliability Theory / 9：
Brownian Motion and Stationary Processes / 10：
Simulation / 11：
Appendix: Solutions to Starred Exercises
Index
Preface
Introduction to Probability Theory / 1：
Random Variables / 2：
80.

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80. Finiteness conditions and generalized soluble groups (pt. 1 ; pt. 2)
[by] Derek J.S. Robinson
出版情報: Berlin ; New York : Springer-Verlag, 1972  2 v. ; 24 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; Bd. 62-63
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81.

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81. Symmetric spaces : short courses presented at Washington University
edited by William M. Boothby and Guido L. Weiss
出版情報: New York : M. Dekker, 1972  xiii, 487 p. ; 23 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 8
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82.

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82. Differential equations : with applications and historical notes
[by] George F. Simmons
出版情報: New York : McGraw-Hill, [1972]  xv, 465 p. ; 24 cm
シリーズ名: International series in pure and applied mathematics
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目次情報: 続きを見る
The Nature of Differential Equations / 1：
First Order Equations / 2：
Second Order Linear Equations / 3：
Qualitative Properties of Solutions / 4：
Power Series Solutions and Special Functions / 5：
Fourier Series and Orthogonal Functions / 6：
Partial Differential Equations and Boundary Value Problems / 7：
Some Special Functions of Mathematical Physics / 8：
Laplace Transforms / 9：
Systems of First Order Equations / 10：
Nonlinear Equations / 11：
The Calculus of Variations / 12：
The Existence and Uniqueness of Solutions / 13：
Numerical Methods / 14：
The Nature of Differential Equations / 1：
First Order Equations / 2：
Second Order Linear Equations / 3：
83.

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83. Perturbation theory (pt. 1 ; pt. 2)
Yusuke Hagihara
出版情報: Cambridge, Mass. : MIT Press, 1972  2 v. ; 24 cm
シリーズ名: Celestial mechanics / Yusuke Hagihara ; v. 2
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84.

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図書
84. Introduction to set theory and topology. Completely rev. 2nd English ed
by Kazimierz Kuratowski ; containing a supplement on Elements of algebraic topology, by Ryszard Engelking
出版情報: Oxford ; New York : Pergamon Press, 1972  352 p. ; 23 cm
シリーズ名: International series of monographs on pure and applied mathematics ; v. 101
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85.

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85. Contiguity of probability measures : some applications in statistics
George G. Roussas
出版情報: London : Cambridge University Press, 1972  xiii, 248 p. ; 23 cm
シリーズ名: Cambridge tracts in mathematics and mathematical physics ; 63
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On the concept of contiguity and related theorems / 1：
Asymptotic expansion and asymptotic distribution of likelihood functions / 2：
Approximation of a given family of probability measures by an exponential family - asymptotic sufficiency / 3：
Some statistical applications: AUMP and AUMPU tests for certain testing hypotheses problems / 4：
Some statistical applications: asymptotic efficiency of estimates / 5：
Multiparameter asymptotically optimal tests / 6：
On the concept of contiguity and related theorems / 1：
Asymptotic expansion and asymptotic distribution of likelihood functions / 2：
Approximation of a given family of probability measures by an exponential family - asymptotic sufficiency / 3：
86.

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86. Isaac Newton's Philosophiae naturalis principia mathematica. 3rd ed. [reprinted] with variant readings / assembled and edited by Alexandre Koyré and I. Bernard Cohen ; with the assistance of Anne Whitman (: set ; v. 1 ; v. 2)
Newton, Isaac, Sir, 1642-1727 ; Koyré, Alexandre, 1892-1964 ; Cohen, I. Bernard, 1914-
出版情報: [London] : Cambridge University Press, 1972  2 v. (xl, 916 p.) ; 29 cm
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87.

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図書
87. Nuclear locally convex spaces (: us ; : gw)
Albrecht Pietsch ; translated from the second German edition by William H. Ruckle
出版情報: Berlin ; New York : Springer-Verlag, 1972  ix, 192 p. ; 24 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; Bd. 66
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88.

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88. Injective modules
D. W. Sharpe and P. Vámos
出版情報: Cambridge, [Eng.] : University Press, 1972  xii, 190 p. ; 23 cm
シリーズ名: Cambridge tracts in mathematics and mathematical physics ; no. 62
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Preliminaries / 1：
Injective modules / 2：
Injective modules and Injective envelopes and semi-simplicity and chain conditions / 3：
Localization, completion and duality / 5：
Direct sum decompositions / 6：
Preliminaries / 1：
Injective modules / 2：
Injective modules and Injective envelopes and semi-simplicity and chain conditions / 3：
89.

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図書
89. Theory of convex programming
by E. G. Golʹstein ; [Translated from the Russian by K. Makowski]
出版情報: Providence, R.I. : American Mathematical Society, 1972  v, 57 p. ; 23 cm
シリーズ名: Translations of mathematical monographs ; v. 36
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90.

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図書
90. Ring theory : proceedings
edited by Robert Gordon
出版情報: New York : Academic Press, 1972  xi, 381 p. ; 24 cm
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91.

図書
図書
91. General topology and its relations to modern analysis and algebra III : proceedings of the Third Prague Topological Symposium, 1971
[Editor: J. Novák]
出版情報: Prague : Academia, 1972  487 p ; 25 cm
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92.

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92. Sets and integration : an outline of the development
D. van Dalen and A.F. Monna
出版情報: Groningen : Wolters-Noordhoff, c1972  viii, 162 p. ; 25 cm
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93.

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93. Differential equations in abstract spaces
G.E. Ladas and V. Lakshmikantham
出版情報: New York : Academic Press, 1972  xi, 218 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 85
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94.

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94. Riccati differential equations
William T. Reid
出版情報: New York : Academic Press, 1972  x, 216 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 86
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95.

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95. The method of weighted residuals and variational principles : with application in fluid mechanics, heat and mass transfer
Bruce A. Finlayson
出版情報: New York : Academic Press, 1972  xiv, 412 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 87
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96.

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96. Methods of intermediate problems for eigenvalues : theory and ramifications
Alexander Weinstein and William Stenger
出版情報: New York : Academic Press, 1972  xi, 236 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 89
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目次情報: 続きを見る
Preface
Overview / 1：
Methods of Operator Approximation in System Modelling / I：
Nonlinear Operator Approximation with Preassigned Accuracy / 2：
Introduction / 2.1：
Generic formulation of the problem / 2.2：
Operator approximation in space C([0; 1]) / 2.3：
Operator approximation in Banach spaces by polynomial operators / 2.4：
Approximation on compact sets in topological vector spaces / 2.5：
Approximation on noncompact sets in Hilbert spaces / 2.6：
Special results for maps into Banach spaces / 2.7：
Concluding remarks / 2.8：
Interpolation of Nonlinear Operators 65 / 3：
Lagrange interpolation in Banach spaces / 3.1：
Weak interpolation of nonlinear operators / 3.3：
Some related results / 3.4：
Realistic Operators and their Approximation / 3.5：
Formalization of concepts related to description of real-world objects / 4.1：
Approximation of RÂícontinuous operators / 4.3：
Methods of Best Approximation for Nonlinear Operators / 4.4：
Best Approximation of nonlinear operators in Banach spaces: Deterministic case / 5.1：
Estimation of mean and covariance matrix for random vectors / 5.3：
Best Hadamard-quadratic approximation / 5.4：
Best polynomial approximation / 5.5：
Best causal approximation / 5.6：
Best hybrid approximations / 5.7：
Optimal Estimation of Random Vectors / 5.8：
Computational Methods for Optimal Filtering of Stochastic Signals / 6：
Optimal linear Filtering in Finite dimensional vector spaces / 6.1：
Optimal linear Filtering in Hilbert spaces / 6.3：
Optimal causal linear Filtering with piecewise constant memory / 6.4：
Optimal causal polynomial Filtering with arbitrarily variable memory / 6.5：
Optimal nonlinear Filtering with no memory constraint / 6.6：
Computational Methods for Optimal Compression and Reconstruction of Random Data / 6.7：
Standard Principal Component Analysis and Karhunen-Loeeve transform (PCA{KLT) / 7.1：
Rank-constrained matrix approximations / 7.3：
Generic PCA{KLT / 7.4：
Optimal hybrid transform based on Hadamard-quadratic approximation / 7.5：
Optimal transform formed by a combination of nonlinear operators / 7.6：
Optimal generalized hybrid transform / 7.7：
Bibliography / 7.8：
Index
Preface
Overview / 1：
Methods of Operator Approximation in System Modelling / I：
97.

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97. Theory of partial differential equations
H. Melvin Lieberstein
出版情報: New York : Academic Press, 1972  xiv, 283 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 93
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98.

図書
図書
98. Realizability theory for continuous linear systems
A.H. Zemanian
出版情報: New York : Academic Press, 1972  xv, 231 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 97
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99.

図書
図書
99. Mathematical logic with special reference to the natural numbers (: hardback ; : paperback)
[by] S.W.P. Steen
出版情報: Cambridge [Eng.] ; New York : Cambridge University Press, 1972  xvi, 638 p. ; 24 cm
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目次情報: 続きを見る
Formal Systems / 1：
Propositional calculi / 2：
Predicate calculi / 3：
A complete, decidable arithmetic / 4：
Aoo -Definable functions / 5：
A complete, undecidable arithmetic / 6：
Ao- Definable functions / 7：
An incomplete undecidable arithmetic / 8：
A-Definable sets of lattice points / 9：
Induction / 10：
Formal Systems / 1：
Propositional calculi / 2：
Predicate calculi / 3：
100.

図書
図書
100. Critical essays
[by] Erik Stenius
出版情報: Amsterdam : North-Holland Pub. Co., 1972  262 p. ; 25 cm
シリーズ名: Acta philosophica Fennica ; fasc. 25
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