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1.

図書

図書
Dimitri P. Bertsekas and John N. Tsitsiklis
出版情報: Belmont, Mass. : Athena Scientific, c2002  ix, 416 p. ; 25 cm
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2.

図書

図書
R.M. Dudley
出版情報: Cambridge : Cambridge University Press, 2002  x, 555 p. ; 23 cm
シリーズ名: Cambridge studies in advanced mathematics ; 74
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目次情報: 続きを見る
Foundations: set theory / 1:
General topology / 2:
Measures / 3:
Integration / 4:
Lp spaces: introduction to functional analysis / 5:
Convex sets and duality of normed spaces / 6:
Measure, topology, and differentiation / 7:
Introduction to probability theory / 8:
Convergence of laws and central limit theorems / 9:
Conditional expectations and martingales / 10:
Convergence of laws on separable metric spaces / 11:
Stochastic processes / 12:
Measurability: Borel isomorphism and analytic sets / 13:
Appendixes
Axiomatic set theory / A:
Complex numbers, vector spaces, and Taylor's theorem with remainder
The problem of measure
Rearranging sums of nonnegative terms
Pathologies of compact nonmetric spaces
Indices
Foundations: set theory / 1:
General topology / 2:
Measures / 3:
3.

図書

図書
Hans Föllmer, Alexander Schied
出版情報: Berlin : W. de Gruyter, 2002  ix, 422 p. ; 25 cm
シリーズ名: De Gruyter studies in mathematics ; 27
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目次情報: 続きを見る
Introduction
Mathematical finance in one period / I:
Arbitrage theory / 1:
Assets, portfolios, and arbitrage opportunities / 1.1:
Absence of arbitrage and martingale measures / 1.2:
Derivative securities / 1.3:
Complete market models / 1.4:
Geometric characterization of arbitrage-free models / 1.5:
Contingent initial data / 1.6:
Preferences / 2:
Preference relations and their numerical representation / 2.1:
Von Neumann-Morgenstern representation / 2.2:
Expected utility / 2.3:
Uniform preferences / 2.4:
Robust preferences on asset profiles / 2.5:
Probability measures with given marginals / 2.6:
Optimality and equilibrium / 3:
Portfolio optimization and the absence of arbitrage / 3.1:
Exponential utility and relative entropy / 3.2:
Optimal contingent claims / 3.3:
Microeconomic equilibrium / 3.4:
Monetary measures of risk / 4:
Risk measures and their acceptance sets / 4.1:
Robust representation of convex risk measures / 4.2:
Convex risk measures on L[infinity] / 4.3:
Value at Risk / 4.4:
Measures of risk in a financial market / 4.5:
Shortfall risk / 4.6:
Dynamic hedging / II:
Dynamic arbitrage theory / 5:
The multi-period market model / 5.1:
Arbitrage opportunities and martingale measures / 5.2:
European contingent claims / 5.3:
Complete markets / 5.4:
The binomial model / 5.5:
Convergence to the Black-Scholes price / 5.6:
American contingent claims / 6:
Hedging strategies for the seller / 6.1:
Stopping strategies for the buyer / 6.2:
Arbitrage-free prices / 6.3:
Lower Snell envelopes / 6.4:
Superhedging / 7:
P-supermartingales and upper Snell envelopes / 7.1:
Uniform Doob decomposition / 7.2:
Superhedging of American and European claims / 7.3:
Superhedging with derivatives / 7.4:
Efficient hedging / 8:
Quantile hedging / 8.1:
Hedging with minimal shortfall risk / 8.2:
Hedging under constraints / 9:
Absence of arbitrage opportunities / 9.1:
Upper Snell envelopes / 9.2:
Superhedging and risk measures / 9.4:
Minimizing the hedging error / 10:
Local quadratic risk / 10.1:
Minimal martingale measures / 10.2:
Variance-optimal hedging / 10.3:
Appendix
Convexity / A.1:
Absolutely continuous probability measures / A.2:
The Neyman-Pearson lemma / A.3:
The essential supremum of a family of random variables / A.4:
Spaces of measures / A.5:
Some functional analysis / A.6:
Introduction
Mathematical finance in one period / I:
Arbitrage theory / 1:
4.

図書

図書
J.K. Wani
出版情報: New York : Appleton-Century-Crofts, 1971  xiv, 315 p. ; 24 cm
シリーズ名: The Appleton-Century statistics series
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5.

図書

図書
by John McDonald ; illustrated by Robert Osborn
出版情報: New York : W. W. Norton, c1950  128 p. ; 22 cm
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6.

図書

図書
S.R.S. Varadhan
出版情報: New York : Courant Institute of Mathematical Sciences , Providence, RI. : American Mathematical Society, 2001  vii, 167 p. ; 26 cm
シリーズ名: Courant lecture notes in mathematics ; 7
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目次情報: 続きを見る
Measure theory Weak convergence Independent sums Dependent random variables Martingales
Stationary stochastic processes Dynamic programming and filtering
Bibliography
Index
Measure theory Weak convergence Independent sums Dependent random variables Martingales
Stationary stochastic processes Dynamic programming and filtering
Bibliography
7.

図書

図書
Peter W. Zehna
出版情報: Boston : Allyn and Bacon, c1969  x, 193 p. ; 22 cm
シリーズ名: The Allyn and Bacon series : topics in contemporary mathematics
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8.

図書

図書
Hans Föllmer, Alexander Schied
出版情報: New York : Walter de Gruyter, c2004  xi, 459 p. ; 25 cm
シリーズ名: De Gruyter studies in mathematics ; 27
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9.

図書

図書
Yanhong Wu
出版情報: New York, N.Y. : Springer, c2005  xiii, 158 p. ; 24 cm
シリーズ名: Lecture notes in statistics ; 180
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CUSUM Procedure
Change-point Estimation
Confidence Interval for Change-point
Infrence for Post-change Mean
Estimation After False Signal
Inference with Change in Variance
Sequential Classification and Segmentation
An Adaptive CUSUM Procedure
Dependent Observation Case
Other Methods and Remarks
CUSUM Procedure
Change-point Estimation
Confidence Interval for Change-point
10.

図書

図書
George G. Roussas
出版情報: Amsterdam ; Tokyo : Elsevier Academic Press, c2005  xviii, 443 p. ; 24 cm
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目次情報: 続きを見る
Preface
Certain Classes of Sets, Measurability, Pointwise Approximation / 1:
Definition and Construction of a Measure and Its Basic Properties / 2:
Some Modes of Convergence of a Sequence of Random Variables and Their Relationships / 3:
The Integral of a Random Variable and Its Basic Properties / 4:
Standard Convergence Theorems, The Fubini Theorem / 5:
Standard Moment and Probability Inequalities, Convergence in the r-th Mean and Its Implications / 6:
The Hahn-Jordan Decomposition Theorem, The Lebesgue Decomposition Theorem, and The Radon-Nikcodym Theorem / 7:
Distribution Functions and Their Basic Properties, Helly-Bray Type Results / 8:
Conditional Expectation and Conditional Probability, and Related Properties and Results / 9:
Independence / 10:
Topics from the Theory of Characteristic Functions / 11:
The Central Limit Problem: The Centered Case / 12:
The Central Limit Problem: The Noncentered Case / 13:
Topics from Sequences of Independent Random Variables / 14:
Topics from Ergodic Theory / 15:
Preface
Certain Classes of Sets, Measurability, Pointwise Approximation / 1:
Definition and Construction of a Measure and Its Basic Properties / 2:
11.

図書

図書
[by] James R. McCord, III [and] Richard M. Moroney, Jr
出版情報: New York : Macmillan, [1964]  xvi, 232 p ; 25 cm
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12.

図書

図書
E.B. Dynkin ; A.A. Yushkevich, G.M. Seitz, A.L. Onishchik, editors
出版情報: Providence, R.I. : American Mathematical Society , Cambridge, Mass. : International Press, c2000  xxvi, 798 p. ; 27 cm
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Lie groups and Lie algebras: Dynkin and Lie theory / G. M. SeitzPart I:
On the work of E. B. Dynkin in the theory of Lie groups / F. I. Karpelevich ; A. L. Onishchik ; E. B. Vinberg
Correction to On the work of E. B. Dynkin in the theory of Lie groups
Classification of simple Lie groups / E. B. Dynkin
Calculation of the coefficients in the Campbell-Hausdorff formula
The maximal subgroups of the classical groups
Comments on Maximal subgroups of the classical groups
Semisimple subalgebras of semisimple Lie algebras
Comments on the paper Semisimple subalgebras of semisimple Lie algebras
Construction of primitive cycles in compact Lie groups
Topological characteristics of homomorphisms of compact Lie groups
Comments on the paper Topological characteristics of homomorphisms of compact Lie groups
Dynkin and modern Lie theory / B. Kostant
Comments on the impact of Dynkin's work on current research in representation theory / D. A. Vogan
Coxeter-Dynkin diagrams and singularities / A. Gabrielov
Lie groups in physics / K. Gottfried
Dynkin diagrams in the physics of particles, fields and strings / Y. Ne'eman
Probability theory: Dynkin and probability theory / A. A. YushkevichPart II:
Necessary and sufficient statistics for a family of probability distributions
Some limit theorems for sums of independent random variables with infinite mathematical expectations
Markov processes and semigroups of operators
Strong Markov processes
Infinitesimal operators of Markov processes
The natural topology and excessive functions connected with a Markov process
Random walk on groups with a finite number of generators / M. B. Malyutov
The optimum choice of the instant for stopping a Markov process
Brownian motion in certain symmetric spaces and nonnegative eigenfunctions of the Laplace-Beltrami operator
Diffusion of tensors
Game variant of a problem on optimal stopping
Determining functions of Markov processes and corresponding dual regular classes / S. E. Kuznetsov
Economic equilibrium under uncertainty
Comments on Economic equilibrium under uncertainty / I. V. Evstigneev
Markov processes and random fields
Green's and Dirichlet spaces associated with fine Markov processes
Markov processes as a tool in field theory
Symmetric statistics, Poisson point processes, and multiple Wiener integrals / A. Mandelbaum
Gaussian and non-Gaussian random fields associated with Markov processes
Author's correction to Guassian and non-Gaussian random fields associated with Markov processes.
An application of flows to time shift and time reversal in stochastic processes
Author's comments on An application of flows to time shift and time reversal in stochastic processes
Representation for functionals of superprocesses by multiple stochastic integrals, with applications to self-intersection local times
A probabilistic approach to one class of nonlinear differential equations
Superdiffusions and parabolic nonlinear differential equations
Comments on Superdiffusions and parabolic nonlinear differential equations
Dynkin and the theory of Markov processes / P. A. Meyer
To the history of strong Markov property
On compactifications of symmetric spaces / M. A. Olshanetsky
Dynkin's contributions to superprocesses and partial differential equations / J.-F. Le Gall
Dynkin's work in mathematical economics
Acknowledgments
Lie groups and Lie algebras: Dynkin and Lie theory / G. M. SeitzPart I:
On the work of E. B. Dynkin in the theory of Lie groups / F. I. Karpelevich ; A. L. Onishchik ; E. B. Vinberg
Correction to On the work of E. B. Dynkin in the theory of Lie groups
13.

図書

図書
В.С. Пугачев
出版情報: Москва : Изд-во "Наука", Глав. ред. физико-математической лит-ра, 1968  368 p. ; 21 cm
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14.

図書

図書
[by] H. G. Cuming [and] C. J. Anson
出版情報: London : Heywood Books, 1966  490 p. ; 26 cm
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15.

図書

図書
by Harold Jeffreys
出版情報: Oxford : Clarendon Press, c1961  viii, 447 p. ; 24 cm
シリーズ名: The international series of monographs on physics
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16.

図書

図書
James R. Gray
出版情報: Edinburgh ; London : Oliver & Boyd , New York : Interscience, 1967  viii, 267 p ; 19 cm
シリーズ名: University mathematical texts ; 36
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17.

図書

図書
Hugh Gordon
出版情報: New York : Springer, c1997  xii, 266 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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18.

図書

図書
by H. Levy and L. Roth
出版情報: Oxford : at the Clarendon Press, 1936  x, 200 p. ; 23 cm
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19.

図書

図書
Achintya Haldar, Sankaran Mahadevan
出版情報: New York ; Chichester : Wiley, c2000  xvi, 304 p. ; 25 cm
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目次情報: 続きを見る
Basic Concept of Reliability
Mathematics of Probability
Modeling of Uncertainty
Commonly Used Probability Distributions
Determination of Distributions and Parameters from Observed Data
Randomness in Response Variables
Fundamentals of Reliability Analysis
Advanced Topics on Reliability Analysis
Simulation Techniques
Appendices
Conversion Factors
References
Index
Basic Concept of Reliability
Mathematics of Probability
Modeling of Uncertainty
20.

図書

図書
edited by Isaac Elishakoff
出版情報: Wien : Springer-Verlag, c1999  393 p. ; 24 cm
シリーズ名: CISM courses and lectures ; no. 388
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21.

図書

図書
Claude Kipnis, Claudio Landim
出版情報: Berlin : Springer-Verlag, c1999  xvi, 442 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 320
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22.

図書

図書
Г.Г. Абезга... [et al.].
出版情報: Москв : Воен. изд-во, 1966  407 p. ; 17 cm
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23.

図書

図書
Ю.В. Прохоров, Ю.А. Розанов
出版情報: Москва : Изд-во "Наука" Глав. ред. физико-математической лит-ры, 1967  495 p. ; 21 cm
シリーズ名: Справочная математическая библиотека
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24.

図書

図書
K. Hinderer
出版情報: Berlin ; New York : Springer-Verlag, 1972  vii, 247 p. ; 26 cm
シリーズ名: Hochschultext
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25.

図書

図書
Rodrigo Bañuelos, Charles N. Moore
出版情報: Basel ; Boston : Birkhäuser Verlag, c1999  xiv, 204 p. ; 24 cm
シリーズ名: Progress in mathematics ; vol. 175
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26.

図書

図書
Maury Bramson, Rick Durrett, editors
出版情報: Boston : Birkhauser, c1999  x, 398 p. ; 25 cm
シリーズ名: Progress in probability / series editors, Thomas Liggett, Charles Newman, Loren Pitt ; 44
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27.

図書

図書
Gregory F. Lawler, Lester N. Coyle
出版情報: Providence, R.I. : American Mathematical Society , [Princeton, N.J.] : Institute for Advanced Study, c1999  xii, 97 p. ; 22 cm
シリーズ名: Student mathematical library ; v. 2 . IAS/Park City mathematical subseries
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28.

図書

図書
David Stirzaker
出版情報: New York : Cambridge University Press, 1999  xii, 368 p. ; 26 cm
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目次情報: 続きを見る
Introduction / 1:
Probability / Part A:
The rules of probability / 2:
Counting and gambling / 3:
Distributions: trials, samples and approximation / 4:
Random Variables / Part B:
Random variables and their distributions / 5:
Jointly distributed random variables / 6:
Generating functions / 7:
Appendix: hints and solutions for selected exercises and problems / 8:
Introduction / 1:
Probability / Part A:
The rules of probability / 2:
29.

図書

図書
by Robert M. Kozelka
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, c1961  x, 150 p ; 24 cm
シリーズ名: Addison-Wesley series in statistics
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30.

図書

図書
[by] Aram J. Thomasian
出版情報: New York : McGraw-Hill, c1964  371 p ; 23 cm
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31.

図書

図書
David McDonald
出版情報: New Jersey : World Scientific, c2004  xiii, 361 p. ; 26 cm
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32.

図書

図書
Jean Dhombres, Joseph P.S. Kung, Norton Starr, editors
出版情報: Boston ; Basel : Birkhäuser, c2003  xxx, 381 p. ; 26 cm
シリーズ名: Contemporary mathematicians
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目次情報: 続きを見る
Contributors
Editors' Preface
List of Reprinted Papers in Chronological Order
Gian-Carlo Rota on His Work in Analysis
Reminiscences of Gian-Carlo Rota / P. Duren
Gian-Carlo Rota (1932-1999) / J.T. Schwartz
Acknowledgements
Differential Operators
Theory of Linear Operators
Reynolds Operators
Ergodic Theory
Inequalities
Geometric Probability and Profinite Combinatorics
Probability Theory
Contributors
Editors' Preface
List of Reprinted Papers in Chronological Order
33.

図書

図書
Petr Beckmann
出版情報: New York : Harcourt, Brace & World, c1968  vi, 189 p . ; 23 cm
シリーズ名: Harbrace series in electrical engineering
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34.

図書

図書
Michel Talagrand
出版情報: Berlin ; Tokyo : Springer, c2003  ix, 586 p. ; 24 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, v. 46
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35.

図書

図書
[by] William R. King
出版情報: New York : Wiley, c1968  xix, 372 p. ; 23 cm
シリーズ名: Wiley series in management and administration
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36.

図書

図書
A. A. Borowkow ; in deutscher Sprache hrsg. von Peter Franken ; [Deutsche Übersetzung, Egmar Rödel. Hans Kühne]
出版情報: Basel ; Stuttgart : Birkhäuser, 1976  xi, 264 p. ; 25 cm
シリーズ名: Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften ; . Mathematische Reihe ; 53
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37.

図書

図書
Ron Blei
出版情報: Cambridge, [Eng.] ; New York : Cambridge University Press, 2001  xix, 556 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 71
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目次情報: 続きを見る
Preface
A prologue: mostly historical / 1:
Three classical inequalities / 2:
A fourth inequality / 3:
Elementary properties of the Frechet variation - an introduction to tensor products / 4:
The Grothendieck factorization theorem / 5:
An introduction to multidimensional measure theory / 6:
An introduction to harmonic analysis / 7:
Multilinear extensions of the Grothendieck inequality / 8:
Product Frechet measures / 9:
Brownian motion and the Wiener process / 10:
Integrator / 11:
A '3/2n- dimensional' Cartesian product / 12:
Fractional Cartesian products and combinatorial dimension / 13:
The last chapter: leads and loose ends / 14:
Preface
A prologue: mostly historical / 1:
Three classical inequalities / 2:
38.

図書

図書
John Chiasson
出版情報: Hoboken, N.J. : John Wiley & Sons, c2013  xxii, 959 p. ; 25 cm
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39.

図書

図書
George Papanicolaou, editor
出版情報: New York ; Tokyo : Springer-Verlag, c1987  xi, 321 p. ; 25 cm
シリーズ名: The IMA volumes in mathematics and its applications ; v. 7
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40.

図書

図書
G.P. Beaumont
出版情報: Chichester, England : Ellis Horwood, 1986  345 p. ; 25 cm
シリーズ名: Ellis Horwood series in mathematics and its applications ; . Statistics and operational research
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41.

図書

図書
B.Z. Sandler
出版情報: Amsterdam ; New York : Elsevier, 1984  xi, 301 p. ; 25 cm
シリーズ名: Studies in applied mechanics ; 8
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42.

図書

図書
Lionel Weiss, Jacob Wolfowitz
出版情報: Berlin ; New York : Springer-Verlag, 1974  iv, 106 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 424
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43.

図書

図書
Heinz Bauer ; English translation by R.B. Burckel ; adapted from the first English ed. and based on the third German ed
出版情報: London ; New York : Academic Press, 1981  xiii, 460 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks
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44.

図書

図書
Alfred Rényi
出版情報: San Francisco : Holden-Day, c1970  xvi, 366 p. ; 24 cm
シリーズ名: Holden-Day series in probability and statistics
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45.

図書

図書
Narayan C. Giri
出版情報: New York : M. Dekker, 1974  viii, 260 p. ; 24 cm
シリーズ名: Statistics : textbooks and monographs ; v. 7 . Introduction to probability and statistics ; pt. 1
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46.

図書

図書
Narayan C. Giri
出版情報: New York : M. Dekker, c1975  viii, 314 p. ; 24 cm
シリーズ名: Statistics : textbooks and monographs ; v. 7 . Introduction to probability and statistics ; pt. 2
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47.

図書

図書
by Robert C. Shook and Harold Joseph Highland and edited by Esther H. Highland
出版情報: Homewood, Ill. : R.D. Irwin, 1969  xvii, 592 p. ; 24 cm
シリーズ名: Irwin series in quantitative analysis for business
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48.

図書

図書
[by] Robert B. Ash
出版情報: New York : Wiley, [1970]  ix, 337 p. ; 23 cm
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49.

図書

図書
by N.N. Vakhania, V.I. Tarieladze and S.A. Chobanyan ; translated by Wojbor A. Woyczynski
出版情報: Dordrecht ; Tokyo : D. Reidel Pub. Co., c1987  xxvi, 482 p. ; 23 cm
シリーズ名: Mathematics and its applications ; Soviet series
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50.

図書

図書
Geoffrey Grimmett, Dominic Welsh
出版情報: Oxford [Oxfordshire] : Clarendon Press , New York : Oxford University Press, 1986  ix, 211 p. ; 24 cm
シリーズ名: Oxford science publications
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目次情報: 続きを見る
Basic Probability / Part 1:
Events and Probabilities / 1:
Discrete Random Variables / 2:
Multivariate Discrete Distributions and Independence / 3:
Probability Generating Functions / 4:
Distribution Functions and Density Functions / 5:
Further Probability / Part 2:
Multivariate Distributions and Independence / 6:
Moments and Moment Generating Functions / 7:
The Two Main Limit Theorems / 8:
Random Processes / Part 3:
Branching Processes / 9:
Random Walks / 10:
Random Processes in Continuous Time / 11:
Basic Probability / Part 1:
Events and Probabilities / 1:
Discrete Random Variables / 2:
51.

図書

図書
R. Azencott, Y. Guivarc'h, R.F. Gundy ; edité par P.L. Hennequin
出版情報: Berlin ; New York : Springer-Verlag, 1980  xiii, 334 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 774
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目次情報: 続きを見る
Introduction
Contexts, reform and resources
Mathematical reasoning through tasks: learners' responses
Learning mathematical reasoning in a collaborative whole class discussion
Classroom practices for teaching and learning mathematical reasoning
Teaching mathematics with the five strands
Teaching the practices of justification and explanation
Learner contributions
Teacher moves
Dilemmas in teaching mathematical reasoning
Learner resistance to mathematical conversations
Introduction
Contexts, reform and resources
Mathematical reasoning through tasks: learners' responses
52.

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図書
A.J. Ayer
出版情報: [London] : Macmillan, c1972  x, 144 p. ; 22 cm
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53.

図書

図書
Alain Bensoussan, Jacques-Louis Lions, George Papanicolaou
出版情報: Amsterdam ; New York : North-Holland Pub. Co. , New York : sole distributors for the U.S.A. and Canada, Elsevier North-Holland, 1978  xxiv, 700 p. ; 23 cm
シリーズ名: Studies in mathematics and its applications ; v. 5
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54.

図書

図書
Leo Breiman
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, c1968  ix, 421 p. ; 23 cm
シリーズ名: Addison-Wesley series in statistics
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55.

図書

図書
Arthur M. Breipohl
出版情報: New York : Wiley, c1970  xv, 352 p. ; 23 cm
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56.

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図書
Rudolf Carnap
出版情報: Chicago : University of Chicago Press , London : Routledge & K. Paul, 1962  xxvii, 613 p. ; 24 cm
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57.

図書

図書
[par] A. Rényi ... Avec un appendice sur la théorie de l'information. Traduit par C. Bloch ...
出版情報: Paris : Dunod, 1966  xvi, 620 p. ; 25 cm
シリーズ名: Collection universitaire de mathématiques ; 21
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58.

図書

図書
Vladimir N. Sachkov
出版情報: Cambridge, UK ; New York : Cambridge University Press, 1997  x, 246 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 56
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目次情報: 続きを見る
Preface
Preface to the English edition
Introduction
Relevant elements from probability theory / 1:
Combinatorial properties or random nonnegative matrices / 2:
Probabilistic problems in the general combinatorial scheme / 3:
Random partitions of sets / 4:
Random permutations / 5:
Random graphs and random mappings / 6:
Bibliography
Index
Preface
Preface to the English edition
Introduction
59.

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図書
by L.Z. Rumshiskii ; translated from the Russian by D.M.G. Wishart
出版情報: Oxford ; New York : Pergamon Press, 1965  xi, 160 p ; 23 cm
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60.

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図書
R. Dobrushin, P. Groeneboom, M. Ledoux ; editor, P. Bernard
出版情報: Berlin ; Tokyo : Springer-Verlag, c1996  viii, 300 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1648
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61.

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図書
J. Michael Steele
出版情報: Philadelphia : Society for Industrial and Applied Mathematics, c1997  viii, 159 p. ; 25 cm
シリーズ名: CBMS-NSF regional conference series in applied mathematics ; 69
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目次情報: 続きを見る
Preface
First View of Problems and Methods / Chapter 1:
A first example: Long common subsequences
Subadditivity and expected values
AzumaG++s inequality and a first application
A second example: The increasing-subsequence problem
Flipping AzumaG++s inequality
Concentration on rates
Dynamic programming
KingmanG++s subadditive ergodic theorem
Observations on subadditive subsequences
Additional notes
Concentration of Measure and the Classical Theorems / Chapter 2:
The TSP and quick application of AzumaG++s inequality
Easy size bounds
Another mean Poissonization
The Beardwood-Halton-Hammersly theorem
KarpG++s partitioning algorithms
Introduction to space-filling curve heuristic
Asymptotics for the space-filling curve heuristic
More General Methods / Chapter 3:
Subadditive Euclidean functionals
Examples: Good, bad and forthcoming
A general L-(infinity) bound
Simple subadditivity and geometric subadditivity
A concentration inequality
Minimal matching
Two-sided bounds and first consequences
Rooted duals and their applications
Lower bounds and best possibilities
Additional remarks
Probability in Greedy Algorithms and Linear Programming / Chapter 4:
Assignment problem
Simplex method for theoreticians
Dyer-Frieze-McDiarmid inequality
Dealing with integral constraints
Distributional bounds
Back to the future
Distributional Techniques and the Objective Method / Chapter 5:
Motivation for a method
Searching for a candidate object
Topology for nice sets
Information on the infinite tree
D+1/4noument
Central limit theory
Conditioning method for independence
Dependency graphs and the CLT
TalagrandG++s Isoperimetric Theory / Chapter 6:
TalagrandG++s isoperimetric theory
Two geometric applications of the isoperimetric inequality
Application to the longest-increasing-subsequence problem
Proof of the isoperimetric problem
Application and comparison in the theory of hereditary sets
Suprema of linear functionals
Tail of the assignment problem
Further applications of TalagrandG++s isoperimetric inequalities
Final considerations on related work
Bibliography
Index
Preface
First View of Problems and Methods / Chapter 1:
A first example: Long common subsequences
62.

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図書
Glenn Shafer
出版情報: Cambridge, Mass. : MIT Press, c1996  xx, 511 p. ; 24 cm
シリーズ名: The MIT Press series in artificial intelligence
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63.

図書

図書
Glenn Shafer
出版情報: Philadelphia, PA : Society for Industrial and Applied Mathematics, c1996  viii, 80 p. ; 26 cm
シリーズ名: CBMS-NSF regional conference series in applied mathematics ; 67
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Preface
Multivariate Probability / 1:
Probability Distributions
Marginalization
Conditionals
Continuation
Posterior Distributions
Expectation
Classifying Probability Distributions
A Limitation
Construction Sequences / 2:
Multiplying Conditionals
DAGs and Belief Nets
Bubble Graphs
Other Graphical Representations
Propagation in Join Trees / 3:
Variable-by-Variable Summing Out
The Elementary Architecture
The Shafer-Shenoy Architecture
The Lauritzen-Spiegelhalter Architecture
The Aalborg Architecture
Collect and Distribute
Scope and Alternatives
Resources and References / 4:
Meetings
Software
Books
Review Articles
Other Sources
Index
Preface
Multivariate Probability / 1:
Probability Distributions
64.

図書

図書
edited by I. A. Ibragimov and A. Yu. Zaitsev
出版情報: Amsterdam, the Netherlands : Gordon and Breach, c1996  vi, 321 p. ; 26 cm
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65.

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図書
J.C. Turner
出版情報: London : English Universities Press, c1970  viii, 502 p. ; 23 cm
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66.

図書

図書
Janos Galambos
出版情報: New York : Marcel Dekkker, 1995  ix, 461 p. ; 23 cm
シリーズ名: Probability, pure and applied ; 10
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Review of basic concepts
expectation and integral, weak and strong convergence
transforms of distribution
infinite sequences of independent random variables
weak convergence
triangular arrays of independent random variables, infinitely divisible distributions
indipendent and identically distributed random variables
conditional exceptions
martingales
topics in the theory of stochastic processes
hints for solutions of exercises
Review of basic concepts
expectation and integral, weak and strong convergence
transforms of distribution
67.

図書

図書
И.Г. Венецкий
出版情報: Москва : "Финансы и статистика", 1981  222 p. ; 23 cm
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68.

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図書
by Robert S. Woodward
出版情報: New York : John Wiley, 1906  iii, 47, [2] p. ; 24 cm
シリーズ名: Mathematical monographs / edited by Mansfield Merriman and Robert S. Woodward ; no. 7
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69.

図書

図書
Heinz Bauer ; translated from the German by Robert B. Burckel
出版情報: Berlin ; New York : Walter de Gruyter, 1996  xv, 523 p. ; 25 cm
シリーズ名: De Gruyter studies in mathematics ; 23
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70.

図書

図書
Luc Devroye, László Györfi, Gábor Lugosi
出版情報: New York : Springer, c1996  xv, 636 p. ; 24 cm
シリーズ名: Applications of mathematics ; 31
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71.

図書

図書
David Applebaum
出版情報: Cambridge, England ; New York : Cambridge University Press, 1996  xiii, 212 p. ; 25 cm
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目次情報: 続きを見る
Preface
Introduction / 1:
Combinatorics / 2:
Sets and measures / 3:
Probability / 4:
Discrete random variables / 5:
Information and entropy / 6:
Communication / 7:
Random variables with probability density functions / 8:
Random vectors / 9:
Exploring further
Proof by induction / Appendix 1:
Lagrange multipliers / Appendix 2:
Integration of exp(-x2/2) / Appendix 3:
Table of probabilities associated with the standard normal distribution / Appendix 4:
Solutions to selected exercises
Preface
Introduction / 1:
Combinatorics / 2:
72.

図書

図書
W.A. Thompson, Jr
出版情報: New York : Holt, Rinehart and Winston, c1969  xiii, 175 p. ; 24 cm
シリーズ名: International series in decision processes
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73.

図書

図書
Michel Simonnet ; foreword by Charles-Michel Marle
出版情報: New York ; Tokyo : Springer, c1996  xiii, 510 p. ; 24 cm
シリーズ名: Universitext
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74.

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図書
by Michel Loève
出版情報: Princeton, N.J. : Van Nostrand, c1960  xvi, 685 p. ; 24 cm
シリーズ名: The University series in higher mathematics
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75.

図書

図書
edited by J. Laurie Snell
出版情報: Boca Raton : CRC Press, c1995  380 p. ; 27 cm
シリーズ名: Probability and stochastics series
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76.

図書

図書
Marcel F. Neuts
出版情報: London ; New York : Chapman & Hall, 1995  xii, 465 p. ; 24 cm
シリーズ名: Stochastic modeling
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目次情報: 続きを見る
Preface
Computational Probability: An Introduction
Solving Equations
Functions of Random Variables
Discrete-Time Markov Chains
Continuous-Time Markov Chains
Experimentation and Visualization
References
Some Topics from Matrix Analysis / Appendix 1:
Phase-Type Distibutions / Appendix 2:
The Markovian Arrival Process / Appendix 3:
Solution to Selected Problems
Index
Preface
Computational Probability: An Introduction
Solving Equations
77.

図書

図書
Giuliano Augusti, Alesandro Baratta, Fabio Casciati
出版情報: London ; New York : Chapman and Hall, 1984  xxvi, 556 p. ; 24 cm
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78.

図書

図書
A.N. Shiryayev ; translated by R.P. Boas
出版情報: New York ; Berlin ; Tokyo : Springer-Verlag, c1984  xi, 577 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 95
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79.

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図書
Ernst Eberlein, Murad S. Taqqu, editors
出版情報: Boston : Birkhäuser, 1986  xi, 473 p. ; 24 cm
シリーズ名: Progress in probability and statistics ; v. 11
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80.

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図書
edited by Gian-Carlo Rota
出版情報: Orlando ; Tokyo : Academic Press, 1986  xi, 194 p. ; 24 cm
シリーズ名: Advances in mathematics : supplementary studies ; v. 9
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81.

図書

図書
Gábor J. Székely ; [translated by Márta Alpár and Éva Unger]
出版情報: Dordrecht ; Tokyo : D. Reidel, c1986  xii, 250 p. ; 23 cm
シリーズ名: Mathematics and its applications ; East European series
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82.

図書

図書
Richard F. Bass
出版情報: New York ; Tokyo : Springer-Verlag, c1995  xii, 392 p. ; 24 cm
シリーズ名: Probability and its applications
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83.

図書

図書
by Lyman G. Parratt
出版情報: New York : Wiley, c1961  xv, 255 p. ; 24 cm
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84.

図書

図書
Rolando Chuaqui
出版情報: Amsterdam ; New York : North-Holland , New York, N.Y., U.S.A. : Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1991  xvii, 484 p. ; 25 cm
シリーズ名: North-Holland mathematics studies ; 166
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目次情報: 続きを見る
The Concept of Probability: The Problem of Foundations
Truth, Possibility, and Probability
Probability Models
Principles of Inference and Decision
A Medical Example
Elements of Probability Theory: Probability Theory
Disjunctive Spaces
Elements of Infinitesimal Analysis
Integration
Probability Distributions
Hyperfinite Random Processes
Probability Models: Simple Probability Structures
The Structure of Chance
Equiprobability Structures
Probability Structures
Examples of Probability Structures
Logical Probability
Statistical Inference and Decision Theory: Classical Statistical Inference
Problems in Statistical Inference
Decision Theory
Foundations of Nonstandard Analysis / Appendix A:
Extensions of Integrals and Measures / Appendix B:
Bibliography
The Concept of Probability: The Problem of Foundations
Truth, Possibility, and Probability
Probability Models
85.

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図書
by Pavel Pták and Sylvia Pulmannová
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1991  xxvi, 212 p. ; 25 cm
シリーズ名: Fundamental theories of physics ; v. 44
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86.

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図書
par Marcel Boll
出版情報: Paris : Presses universitaires de France, 1947, c1941  124 p. ; 18 cm
シリーズ名: Que sais-je? ; 3
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87.

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図書
B.M. Shchigolev ; translated by Scripta Technica, Inc. ; editor, H. Eagle
出版情報: London : Iliffe Books , New York : American Elsevier Pub. Co, c1965  xv, 350 p. ; 23 cm
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88.

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図書
[by] Richard C. Dubes
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1968  xv, 506 p ; 24 cm
シリーズ名: Information theory series
Prentice-Hall electrical engineering series
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89.

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図書
Katsumi Nomizu, editor
出版情報: Providence, R.I. : American Mathematical Society, c1994  ix, 151 p. ; 27 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 161
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Nonlinear partial differential equations and infinite dimensional dynamical systems / H. Matano
Langevin equations and causal analysis / Y. Okabe
Analytic capacity (a theory of the Szego kernel function) / T. Murai
Laplacians on self-similar sets-analysis of fractals / J. Kigami
Statistical analysis of mapped point patterns-present condition of theory and application / S. Mase ; Y. Ogata ; M. Tanemura
Spectra in random media / S. Ozawa
The asymptotic distributions of eigenvalues for the Schrodinger operators with magnetic fields / H. Matsumoto
Recursive estimation of nonparametric probability density functions / E. Isogai
Nonlinear partial differential equations and infinite dimensional dynamical systems / H. Matano
Langevin equations and causal analysis / Y. Okabe
Analytic capacity (a theory of the Szego kernel function) / T. Murai
90.

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図書
E.C. Poulton
出版情報: Cambridge : Cambridge University Press, 1994  xix, 314 p. ; 24 cm
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Outline of heuristics and biases / 1:
Practical techniques / 2:
Apparent overconfidence / 3:
Hindsight bias / 4:
Small sample fallacy / 5:
Conjunction fallacy / 6:
Regression fallacy / 7:
Base rate fallacy / 8:
Availability and simulation fallacies / 9:
Anchoring and adjustment bias / 10:
Expected utility fallacy / 11:
Bias by frames / 12:
Simple biases accompanying complex biases / 13:
Problem questions / 14:
Training / 15:
Uncertainties. / 16:
Outline of heuristics and biases / 1:
Practical techniques / 2:
Apparent overconfidence / 3:
91.

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図書
[by] V. E. Gmurman. Translated by Scripta Technica Ltd. English edited by I. I. Berenblut
出版情報: London : Iliffe Books , New York : American Elsevier Pub. Co., 1968  249 p ; 23 cm
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92.

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図書
by J.V. Uspensky
出版情報: New York : McGraw-Hill, 1937  ix, 411 p. ; 24 cm
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93.

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図書
Andrzej Lasota, Michael C. Mackey
出版情報: New York : Springer-Verlag, c1994  xiv, 472 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 97
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94.

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図書
Lester D. Taylor
出版情報: New York : Harper & Row, c1974  xiv, 346 p. ; 24 cm
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95.

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図書
Meyer Dwass
出版情報: New York : W.A. Benjamin, 1970  xvi, 413 p. ; 24 cm
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96.

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図書
edited by Kh.O. Ondar ; translated by Charles and Margaret Stein
出版情報: New York : Springer-Verlag, c1981  xvi, 181 p. ; 25 cm
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97.

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図書
by Philip Feinsilver and René Schott
出版情報: Dordrecht ; Boston : Kluwer Academic, c1993  ix, 223 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 241 . Algebraic structures and operator calculus ; v. 1
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98.

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図書
K.D. Elworthy and N. Ikeda (editors)
出版情報: Harlow, Essex, England : Longman Scientific & Technical , New York, NY : Copublished in the U.S. with J. Wiley, 1993  288 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 283
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99.

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図書
George A. Anastassiou
出版情報: Burnt Mill, Harlow, Essex, England : Longman Scientific & Technical , New York, NY : Wiley & Sons, 1993  411 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 287
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100.

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図書
Harold J. Kushner
出版情報: New York : Academic Press, 1977  xvii, 243 p. ; 23 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 129
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