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1.

図書

図書
R.D. Milne
出版情報: Boston ; London : Pitman Advanced Pub. Program, 1980  xv, 501 p. ; 24 cm
シリーズ名: Applicable mathematics series
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2.

図書

図書
S.M. Srivastava
出版情報: New York : Springer, c1998  xvi, 261 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 180
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3.

図書

図書
Peter Freyd
出版情報: New York : Harper & Row, c1964  11, 164 p. ; 22 cm
シリーズ名: Harper's series in modern mathematics
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4.

図書

図書
Saunders Mac Lane
出版情報: New York : Springer, c1998  xii, 314 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 5
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5.

図書

図書
C. Grosche, F. Steiner
出版情報: Berlin : Springer, c1998  x, 449 p. ; 25 cm
シリーズ名: Springer tracts in modern physics : Ergebnisse der exakten Naturwissenschaften / editor, G. Höhler ; 145
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6.

図書

図書
by Helmut Hasse ; translated from the third revised German edition by Theodore J. Benac
出版情報: New York : F. Ungar, c1954  2 v. in 1 (336 p.) ; 21 cm
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7.

図書

図書
Einar Hille
出版情報: Boston : Ginn and Company, 1959  2 v. ; 24 cm
シリーズ名: Introductions to higher mathematics
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8.

図書

図書
by David Bohm
出版情報: New York : Prentice-Hall, c1951 , Tokyo : Mruzen Co., Ltd., [1960]  ix, 646 p. ; 24 cm
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9.

図書

図書
by Helmut Hasse and Walter Klobe
出版情報: New York : Frederick Ungar, c1954  212 p. ; 21 cm
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10.

図書

図書
by G. Hadley
出版情報: Reading, Mass. : Addison-Wesley, c1962  xii, 520 p. ; 24 cm
シリーズ名: Addison-Wesley series in industrial management
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11.

図書

図書
Frederick J. Almgren, Jr. ; with new illustrations by Kenneth J. Brakke and John M. Sullivan
出版情報: Providence, R.I. : AMS, 2001, c1966  xvi, 78 p. ; 22 cm
シリーズ名: Student mathematical library ; v. 13
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目次情報: 続きを見る
The phenomena of least area problems
Integration of differential forms over rectifiable sets
Varifolds Variational problems involving varifolds
References
Additional
Index
The phenomena of least area problems
Integration of differential forms over rectifiable sets
Varifolds Variational problems involving varifolds
12.

図書

図書
森北出版編集部編
出版情報: 東京 : 森北出版, 1951.11  5, 208p ; 22cm
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13.

図書

図書
出版情報: 東京 : コロナ社, 1962.6-1963.7  2冊 ; 22cm
シリーズ名: 新数表シリーズ / 新数表シリーズ編集委員会編 ; 4,5
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14.

図書

図書
スティーブン・ウルフラム著 ; 白水重明訳
出版情報: 東京 : アジソン・ウエスレイ・パブリッシャーズ・ジャパン , 東京 : 星雲社 (発売), 1992.3  xxii, 937p ; 24cm
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15.

図書

図書
by Werner Heisenberg ; translated into English by Carl Eckart and Frank C. Hoyt
出版情報: New York : Dover Publications, 1949  183 p. ; 21 cm
シリーズ名: Dover books on physics
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16.

図書

図書
Seymour Ginsburg
出版情報: Amsterdam : North-Holland Pub. Co. , New York : American Elsevier Pub. Co., 1975  xii, 313 p. ; 23 cm
シリーズ名: Fundamental studies in computer science ; v. 2
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17.

図書

図書
A. Mukherjea and K. Pothoven
出版情報: New York : Plenum Press, c1986  viii, 277 p. ; 24 cm
シリーズ名: Mathematical concepts and methods in science and engineering ; v. 28 . Real and functional analysis / A. Mukherjea and K. Pothoven ; Pt. B
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18.

図書

図書
edited by John L. Casti and Anders Karlqvist
出版情報: Berlin ; Tokyo : Springer, c1986  xiii, 281 p. ; 25 cm
シリーズ名: Biomathematics ; v. 16
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19.

図書

図書
Norman Biggs
出版情報: London ; New York : Cambridge University Press, c1974  vi, 170 p ; 22 cm
シリーズ名: Cambridge tracts in mathematics ; 67
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目次情報: 続きを見る
Introduction to algebraic graph theory / 1:
Linear Algebra in Graphic Thoery / Part I:
The spectrum of a graph / 2:
Regular graphs and line graphs / 3:
Cycles and cuts / 4:
Spanning trees and associated structures / 5:
The tree-number / 6:
Determinant expansions / 7:
Vertex-partitions and the spectrum / 8:
Colouring Problems / Part II:
The chromatic polynomial / 9:
Subgraph expansions / 10:
The multiplicative expansion / 11:
The induced subgraph expansion / 12:
The Tutte polynomial / 13:
Chromatic polynomials and spanning trees / 14:
Symmetry and Regularity / Part III:
Automorphisms of graphs / 15:
Vertex-transitive graphs / 16:
Symmetric graphs / 17:
Symmetric graphs of degree three / 18:
The covering graph construction / 19:
Distance-transitive graphs / 20:
Feasibility of intersection arrays / 21:
Imprimitivity / 22:
Minimal regular graphs with given girth / 23:
References
Index
Introduction to algebraic graph theory / 1:
Linear Algebra in Graphic Thoery / Part I:
The spectrum of a graph / 2:
20.

図書

図書
Daniel E. Cohen
出版情報: Chichester, West Sussex, England : E. Horwood , New York : Halsted Press [distributor], 1987  243 p. ; 25 cm
シリーズ名: Ellis Horwood series in mathematics and its applications
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21.

図書

図書
by the Mathematical Society of Japan ; edited by Kiyosi Itô
出版情報: Cambridge, Mass. : MIT Press, c1987  4 v. (xix, 2148 p.) ; 30 cm
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22.

図書

図書
P.L. Sachdev
出版情報: Cambridge [Cambridgeshire] : Cambridge University Press, 1987  vii, 246 p. ; 24 cm
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目次情報: 続きを見る
Introduction and Overview / 1:
The Burgers Equation / 2:
Generalised Burgers Equations / 3:
Self-similar Solutions as Intermediate Asymptotics for Nonlinear Diffusion Equations / 4:
Numerical solution of Nonlinear Diffusion Equation. / 5:
Numerical solution of Nonlinear Diffusion Equation
Introduction and Overview / 1:
The Burgers Equation / 2:
Generalised Burgers Equations / 3:
23.

図書

図書
L.D. Faddeev, L.A. Takhtajan ; translated from the Russian by A.G. Reyman
出版情報: Berlin ; Tokyo : Springer-Verlag, c1987  ix, 592 p. ; 24 cm
シリーズ名: Springer series in Soviet mathematics
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24.

図書

図書
edited by Lokenath Debnath
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1983  360 p. ; 24 cm
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目次情報: 続きを見る
Nonlinear Waves in Fluids / Part I:
Towards the Analytic Description of Overturning Waves / Michael S. Longuet-Higgins1:
The Korteweg-de Vries Equation and Related Problems in Water Wave Theory / R. S. Johnson2:
Solitary Waves in Slowly Varying Environments: Long Nonlinear Waves / R. Grimshaw3:
Nonlinear Waves in a Channel / M. C. Shen4:
Soliton Behaviour in Models of Baroclinic Instability / Irene M. Moroz ; John Brindley5:
Waves and Wave Groups in Deep Water / Peter J. Bryant6:
Two- and Three-Wave Resonance / Alex D. D. Craik7:
Nonlinear waves in Plasmas / Part II:
Nonlinear Electromagnetic Waves in Flowing Plasma / N. E. Andreev ; V. P. Silin ; P. V. Silin8:
Superluminous Waves in Plasmas / P. C. Clemmow9:
Electrostatic Ion Cyclotron Waves and Ion Heating in a Magnetic Field / H. Okuda10:
Solitons in Plasma Physics / P. K. Shukla11:
A Theory for the Propagation of Slowly Varying Nonlinear Waves in a Non-Uniform Plasma / R. J. Gribben.12:
Nonlinear Waves in Fluids / Part I:
Towards the Analytic Description of Overturning Waves / Michael S. Longuet-Higgins1:
The Korteweg-de Vries Equation and Related Problems in Water Wave Theory / R. S. Johnson2:
25.

図書

図書
A. Hanyga ; translation editor, R.W. Ogden
出版情報: Chichester : E. Horwood , Warsaw : PWN , New York : Distributors, Halsted Press, c1985  432 p. ; 24 cm
シリーズ名: Ellis Horwood series in mathematics and its applications
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26.

図書

図書
Felix Hausdorff ; translated from the German by John R. Aumann, ... [et al.]
出版情報: New York : Chelsea Pub. Co., 1957  352 p. ; 24 cm
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目次情報: 続きを見る
Sets and the Combining of Sets
Sets / 1.1:
Functions / 1.2:
Sum and intersection / 1.3:
Product and power Cardinal Numbers / 1.4:
Comparison of sets / 2.5:
Sum, product, and power / 2.6:
The scale of cardinal numbers / 2.7:
The elementary cardinal numbers Order Types / 2.8:
Order / 3.9:
Sum and product / 3.10:
The types $\aleph_0$ and $\aleph$ Ordinal Numbers / 3.11:
The well-ordering theorem / 4.12:
The comparability of ordinal numbers / 4.13:
The combining of ordinal numbers / 4.14:
The alefs / 4.15:
The general concept of product Systems of Sets / 4.16:
Rings and fields / 5.17:
Borel systems / 5.18:
Suslin sets Point Sets / 5.19:
Distance / 6.20:
Convergence / 6.21:
Interior points and border points / 6.22:
The $\alpha, \beta$, and $\gamma$ points / 6.23:
Relative and absolute concepts / 6.24:
Separable spaces / 6.25:
Complete spaces / 6.26:
Sets of the first and second categories / 6.27:
Spaces of sets / 6.28:
Connectedness Point Sets and Ordinal Numbers / 6.29:
Hulls and kernels / 7.30:
Further applications of ordinal numbers / 7.31:
Borel and Suslin sets / 7.32:
Existence proofs / 7.33:
Criteria for Borel sets Mappings of Two Spaces / 7.34:
Continuous mappings / 8.35:
Interval-images / 8.36:
Images of Suslin sets / 8.37:
Homeomorphism / 8.38:
Simple curves / 8.39:
Topological spaces Real Functions / 8.40:
Functions and inverse image sets / 9.41:
Functions of the first class / 9.42:
Baire functions / 9.43:
Sets of convergence Supplement / 9.44:
The Baire condition / 10.45:
Half-schlicht mappings Appendixes Bibliography Further / 10.46:
References
Index
Sets and the Combining of Sets
Sets / 1.1:
Functions / 1.2:
27.

図書

図書
Thomas Jech
出版情報: New York ; Tokyo : Academic Press, c1978  xi, 621 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 79
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目次情報: 続きを見る
Basic Set Theory / I:
Axioms of Set Theory
Ordinal Numbers
Cardinal Numbers
Real Numbers
The Axiom of Choice and Cardinal Arithmetic
The Axiom of Regularity
Filters, Ultrafilters and Boolean Algebras
Stationary Sets
Combinatorial Set Theory
Measurable Cardinals
Borel and Analytic Sets
Models of Set Theory
Advanced Set Theory / II:
Constructible Sets
Forcing
Applications of Forcing
Iterated Forcing and Martin's Axiom
Large Cardinals
Large Cardinals and L
Iterated Ultrapowers and L++G++U++++
Very Large Cardinals
Large Cardinals and Forcing
Saturated Ideals
The Nonstationary Ideal
The Singular Cardinal Problem
Descriptive Set Theory
The Real Line
Selected Topics / III:
Combinatorial Principles in L
More Applications of Forcing
More Combinatorial Set Theory
Complete Boolean Algebras
Proper Forcing
More Descriptive Set Theory
Determinacy
Supercompact Cardinals and the Real Line
Inner Models for Large Cadinals
Forcing and Large Cardinals
Martin's Maximum
More on Stationary Sets
Bibliography
Notation
Index
Name Index.
Basic Set Theory / I:
Axioms of Set Theory
Ordinal Numbers
28.

図書

図書
[by] Frank Harary [and] Edgar M. Palmer
出版情報: New York : Academic Press, 1973  xiv, 271 p. ; 24 cm
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29.

図書

図書
Nathaniel F.G. Martin, James W. England ; foreword by James K. Brooks
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., 1981  xxi, 257 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 12 . Section, Real variables
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30.

図書

図書
James O. Berger
出版情報: New York : Springer-Verlag, c1980  xv, 425 p. ; 24 cm
シリーズ名: Springer series in statistics
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31.

図書

図書
A.A. Borovkov ; translated by Kenneth Wickwire
出版情報: New York : Springer-Verlag, 1976  xi, 280 p. ; 25 cm
シリーズ名: Applications of mathematics ; 4
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32.

図書

図書
Harry Hochstadt
出版情報: New York : Wiley, c1973  viii, 282 p. ; 23 cm
シリーズ名: Pure and applied mathematics
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目次情報: 続きを見る
Partial table of contents
Basic Existence Theorems
Fixed Point Theorems
Volterra Equations
Kernels with Weak Singularities
Integral Equations With L2 Kernels
Compact Operators
Positive Operators
Approximation of Eigenvalues
Fredholm Equations with Self-Adjoint Compact Operators
Applications To Partial Differential Equations
Fourier Transforms
Laplace Transforms
Hankel Transforms
Mellin Transforms
The Weiner-Hopf Technique I. The Weiner-Hopf Technique II
The Fredholm Theory
Nonlinear Integral Equations
The Schauder Fixed Point Theorem
Index
Partial table of contents
Basic Existence Theorems
Fixed Point Theorems
33.

図書

図書
Earl B. Hunt
出版情報: New York : Academic Press, 1975  xii, 468 p. ; 24 cm
シリーズ名: Academic Press series in cognition and perception
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34.

図書

図書
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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35.

図書

図書
edited by E.F. Harding and D. G. Kendall
出版情報: London ; New York : Wiley, c1974  xiii, 400 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics
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36.

図書

図書
edited by Frank Harary ; contributors, Lowell W. Beineke ... [et al.]
出版情報: New York : Academic Press, 1969  xv, 330 p. ; 25 cm
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37.

図書

図書
by A.O. Gelʹfond and Yu.V. Linnik ; translation by D.E. Brown ; translation edited by I.N. Sneddon
出版情報: Oxford : Pergamon Press, c1966  xi, 232 p. ; 22 cm
シリーズ名: International series of monographs on pure and applied mathematics ; v. 92
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38.

図書

図書
Neal Koblitz, editor
出版情報: Boston : Birkhäuser, 1982  x, 362 p. ; 24 cm
シリーズ名: Progress in mathematics ; vol. 26
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39.

図書

図書
edited by Jagdish Mehra
出版情報: Dordrecht ; Boston : Reidel, 1973  xxiii, 840 p. ; 25 cm
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40.

図書

図書
edited by a committee appointed by the London Mathematical Society
出版情報: Oxford : Clarendon Press, 1966-  v. ; 26 cm
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41.

図書

図書
by R. Courant
出版情報: New York : Wiley, c1962  xxii, 830 p. ; 24 cm
シリーズ名: Methods of mathematical physics / by R. Courant and D. Hilbert ; v. 2
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目次情報: 続きを見る
Partial table of contents
The Algebra Of Linear Transformations And Quadratic Forms
Transformation to Principal Axes of Quadratic and Hermitian Forms
Minimum-Maximum Property of Eigenvalues
Series Expansion Of Arbitrary Functions
Orthogonal Systems of Functions
Measure of Independence and Dimension Number
Fourier Series
Legendre Polynomials
Linear Integral Equations
The Expansion Theorem and Its Applications
Neumann Series and the Reciprocal Kernel
The Fredholm Formulas
The Calculus Of Variations
Direct Solutions
The Euler Equations
Vibration And Eigenvalue Problems
Systems of a Finite Number of Degrees of Freedom
The Vibrating String
The Vibrating Membrane
Green's Function (Influence Function) and Reduction of Differential Equations to Integral Equations
Application Of The Calculus Of Variations To Eigenvalue Problems
Completeness and Expansion Theorems
Nodes of Eigenfunctions
Special Functions Defined By Eigenvalue Problems
Bessel Functions
Asymptotic Expansions
Additional Bibliography
Index
Partial table of contents
The Algebra Of Linear Transformations And Quadratic Forms
Transformation to Principal Axes of Quadratic and Hermitian Forms
42.

図書

図書
edited by L. Borkowski ; [translated from the Polish by O. Wojtasiewicz]
出版情報: Amsterdam ; London : North-Holland, 1970  xii, 405 p. ; 23 cm
シリーズ名: Studies in logic and the foundations of mathematics
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43.

図書

図書
William H. Reid, editor
出版情報: Providence, R.I. : American Mathematical Society, 1971  vii, 370 p. ; 24 cm
シリーズ名: Lectures in applied mathematics ; v. 14 . Mathematical problems in the geophysical sciences ; 2
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44.

図書

図書
V.M. Popov ; [translated by Radu Georgescu]
出版情報: Berlin ; New York : Springer , Bucureşti : Editura Academiei, 1973  400 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 204
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45.

図書

図書
Ronald Larsen
出版情報: Berlin ; New York : Springer, 1971  xx, 282 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 175
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46.

図書

図書
Garth Warner
出版情報: Berlin ; New York : Springer-Verlag, 1972  2 v. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 188-189
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47.

図書

図書
A.I. Malʹcev ; translated from the Russian by B.D. Seckler and A.P. Doohovskoy
出版情報: Berlin ; New York : Springer-Verlag, 1973  xii, 317 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 192
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48.

図書

図書
Steven A. Gaal
出版情報: Berlin ; New York : Springer-Verlag, 1973  ix, 688 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 198
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49.

図書

図書
Nathan Jacobson
出版情報: New York ; Berlin : Springer, c1964  xi, 323 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 32 . Lectures in abstract algebra / Nathan Jacobson ; 3
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50.

図書

図書
[editor, Ralph D. James]
出版情報: [Vancouver] : [Canadian Mathematical Congress], c1975  2 v. ; 24 cm
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51.

図書

図書
W. Edwards Deming
出版情報: New York : Wiley, c1960  xx, 517 p. ; 24 cm
シリーズ名: A Wiley publication in applied statistics
Wiley series in probability and mathematical statistics ; . Applied probability and statistics
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目次情報: 続きを見る
Responsibilities in Planning a Survey
Some Remarks on the Theory of Sampling
The Frame and Elements of a Sampling Plan
Operational Definitions of Expected Value and of Standard Error
Uncertainties Not Attributable to Sampling
Some Simple Replicated Designs
A Survey of Business Establishments with Correction for Nonresponse
Examples in Sampling Accounts
Evaluation of Inventory of Materials
Exercise in a Replicated Survey of a Small Urban Area
General Theory and Procedure for Replicated Sampling of a Large Area
Field Procedure for the Creation of Segments and for the Selection of People Within Families
A Statistical Aid to Supervision
Sampling New Material
Stratified Sampling
Evaluation of Expected Value and of Bias in Sampling Procedures
Theory of Variances
The Poisson Series and the Square-Root Transformation
Optimum Number of Segments Per Block
Theory for the Formation of Strata
Choice of Zoning Interval and Number of Subsamples
Index
Responsibilities in Planning a Survey
Some Remarks on the Theory of Sampling
The Frame and Elements of a Sampling Plan
52.

図書

図書
edited by Jon Barwise ; with the cooperation of H.J. Keisler ... [et al.]
出版情報: Amsterdam ; New York : North-Holland Pub. Co., 1977  xi, 1165 p. ; 23 cm
シリーズ名: Studies in logic and the foundations of mathematics ; v. 90
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目次情報: 続きを見る
Model Theory / J. Barwise ; P.C. Eklof ; H.J. Keisler ; A. Kock ; A. Macintyre ; M. Makkai ; M. Morley ; G.E. Reyes ; K.D. Stroyan
Set Theory / J.P. Burgess ; K.J. Devlin ; T.J. Jech ; I. Juhasz ; K. Kunen ; M.E. Rudin ; J.R. Schoenfield
Recursion Theory / P. Aczel ; M. Davis ; H.B. Enderton ; A. Kechris ; D.A. Martin ; Y.N. Moschovakis ; M.O. Rabin ; R.A. Shore ; S.G. Simpson
Proof Theory and Constructive Mathematics / H. Barendregt ; S. Feferman ; M.P. Fourman ; L. Harrington ; J. Paris ; H. Schwichtenberg ; C. Smorynski ; R. Statman ; A.S. Troelstra
Indices
Model Theory / J. Barwise ; P.C. Eklof ; H.J. Keisler ; A. Kock ; A. Macintyre ; M. Makkai ; M. Morley ; G.E. Reyes ; K.D. Stroyan
Set Theory / J.P. Burgess ; K.J. Devlin ; T.J. Jech ; I. Juhasz ; K. Kunen ; M.E. Rudin ; J.R. Schoenfield
Recursion Theory / P. Aczel ; M. Davis ; H.B. Enderton ; A. Kechris ; D.A. Martin ; Y.N. Moschovakis ; M.O. Rabin ; R.A. Shore ; S.G. Simpson
53.

図書

図書
Adhemar Bultheel
出版情報: Basel : Birkhäuser, 1987  xi, 274 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 27
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54.

図書

図書
Jared L. Cohon
出版情報: New York : Academic Press, 1978  xiv, 333 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 140
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55.

図書

図書
Solomon Lefschetz
出版情報: New York : Academic Press, 1965  xi, 150 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 13
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56.

図書

図書
J. Kevorkian, J.D. Cole
出版情報: New York : Springer-Verlag, c1981  x, 558 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 34
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57.

図書

図書
R.S. Liptser, A.N. Shiryayev ; translated by A.B. Aries
出版情報: New York : Springer-Verlag, c1977-1978  2 v. ; 24 cm
シリーズ名: Applications of mathematics ; 5,6
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58.

図書

図書
John von Neumann
出版情報: New York ; Oxford : Pergamon Press, 1961  x, 568 p., [1] leaf of plates ; 26 cm
シリーズ名: Collected works / John von Neumann ; general editor, A.H. Taub ; v. 2
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59.

図書

図書
edited by Henry E. Kyburg, Jr., Howard E. Smokler
出版情報: New York : John Wiley & Sons, c1964  vii, 203 p. ; 23 cm
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60.

図書

図書
Ali Hasan Nayfeh
出版情報: New York : Wiley, c1973  xii, 425 p. ; 23 cm
シリーズ名: Pure and applied mathematics
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目次情報: 続きを見る
Introduction / 1.:
Parameter Perturbations / 1.1.:
An Algebraic Equation / 1.1.1.:
The van der Pol Oscillator / 1.1.2.:
Coordinate Perturbations / 1.2.:
The Bessel Equation of Zeroth Order / 1.2.1.:
A Simple Example / 1.2.2.:
Order Symbols and Gauge Functions / 1.3.:
Asymptotic Expansions and Sequences / 1.4.:
Asymptotic Series / 1.4.1.:
Asymptotic Expansions / 1.4.2.:
Uniqueness of Asymptotic Expansions / 1.4.3.:
Convergent versus Asymptotic Series / 1.5.:
Nonuniform Expansions / 1.6.:
Elementary Operations on Asymptotic Expansions / 1.7.:
Exercises
Straightforward Expansions and Sources of Nonuniformity / 2.:
Infinite Domains / 2.1.:
The Duffing Equation / 2.1.1.:
A Model for Weak Nonlinear Instability / 2.1.2.:
Supersonic Flow Past a Thin Airfoil / 2.1.3.:
Small Reynolds Number Flow Past a Sphere / 2.1.4.:
A Small Parameter Multiplying the Highest Derivative / 2.2.:
A Second-Order Example / 2.2.1.:
High Reynolds Number Flow Past a Body / 2.2.2.:
Relaxation Oscillations / 2.2.3.:
Unsymmetrical Bending of Prestressed Annular Plates / 2.2.4.:
Type Change of a Partial Differential Equation / 2.3.:
Long Waves on Liquids Flowing down Incline Planes / 2.3.1.:
The Presence of Singularities / 2.4.:
Shift in Singularity / 2.4.1.:
The Earth-Moon-Spaceship Problem / 2.4.2.:
Thermoelastic Surface Waves / 2.4.3.:
Turning Point Problems / 2.4.4.:
The Role of Coordinate Systems / 2.5.:
The Method of Strained Coordinates / 3.:
The Method of Strained Parameters / 3.1.:
The Lindstedt-Poincare Method / 3.1.1.:
Transition Curves for the Mathieu Equation / 3.1.2.:
Characteristic Exponents for the Mathieu Equation (Whittaker's Method) / 3.1.3.:
The Stability of the Triangular Points in the Elliptic Restricted Problem of Three Bodies / 3.1.4.:
Characteristic Exponents for the Triangular Points in the Elliptic Restricted Problem of Three Bodies / 3.1.5.:
A Simple Linear Eigenvalue Problem / 3.1.6.:
A Quasi-Linear Eigenvalue Problem / 3.1.7.:
The Quasi-Linear Klein-Gordon Equation / 3.1.8.:
Lighthill's Technique / 3.2.:
A First-Order Differential Equation / 3.2.1.:
The One-Dimensional Earth-Moon-Spaceship Problem / 3.2.2.:
A Solid Cylinder Expanding Uniformly in Still Air / 3.2.3.:
Expansions by Using Exact Characteristics--Nonlinear Elastic Waves / 3.2.4.:
Temple's Technique / 3.3.:
Renormalization Technique / 3.4.:
Limitations of the Method of Strained Coordinates / 3.4.1.:
The Methods of Matched and Composite Asymptotic Expansions / 3.5.1.:
The Method of Matched Asymptotic Expansions / 4.1.:
Introduction--Prandtl's Technique / 4.1.1.:
Higher Approximations and Refined Matching Procedures / 4.1.2.:
A Second-Order Equation with Variable Coefficients / 4.1.3.:
Reynolds' Equation for a Slider Bearing / 4.1.4.:
The Method of Composite Expansions / 4.1.5.:
A Second-Order Equation with Constant Coefficients / 4.2.1.:
An Initial Value Problem for the Heat Equation / 4.2.2.:
Limitations of the Method of Composite Expansions / 4.2.4.:
Variation of Parameters and Methods of Averaging / 5.:
Variation of Parameters / 5.1.:
Time-Dependent Solutions of the Schrodinger Equation / 5.1.1.:
A Nonlinear Stability Example / 5.1.2.:
The Method of Averaging / 5.2.:
Van der Pol's Technique / 5.2.1.:
The Krylov-Bogoliubov Technique / 5.2.2.:
The Generalized Method of Averaging / 5.2.3.:
Struble's Technique / 5.3.:
The Krylov-Bogoliubov-Mitropolski Technique / 5.4.:
The Duffiing Equation / 5.4.1.:
The Klein-Gordon Equation / 5.4.2.:
The Method of Averaging by Using Canonical Variables / 5.5.:
The Mathieu Equation / 5.5.1.:
A Swinging Spring / 5.5.3.:
Von Zeipel's Procedure / 5.6.:
Averaging by Using the Lie Series and Transforms / 5.6.1.:
The Lie Series and Transforms / 5.7.1.:
Generalized Algorithms / 5.7.2.:
Simplified General Algorithms / 5.7.3.:
A Procedure Outline / 5.7.4.:
Algorithms for Canonical Systems / 5.7.5.:
Averaging by Using Lagrangians / 5.8.:
A Model for Dispersive Waves / 5.8.1.:
A Model for Wave-Wave Interaction / 5.8.2.:
The Nonlinear Klein-Gordon Equation / 5.8.3.:
The Method of Multiple Scales / 6.:
Description of the Method / 6.1.:
Many-Variable Version (The Derivative-Expansion Procedure) / 6.1.1.:
The Two-Variable Expansion Procedure / 6.1.2.:
Generalized Method--Nonlinear Scales / 6.1.3.:
Applications of the Derivative-Expansion Method / 6.2.:
Forced Oscillations of the van der Pol Equation / 6.2.1.:
Parametric Resonances--The Mathieu Equation / 6.2.4.:
The van der Pol Oscillator with Delayed Amplitude Limiting / 6.2.5.:
Limitations of the Derivative-Expansion Method / 6.2.6.:
Limitations of This Technique / 6.3.:
Generalized Method / 6.4.:
A General Second-Order Equation with Variable Coefficients / 6.4.1.:
A Linear Oscillator with a Slowly Varying Restoring Force / 6.4.3.:
An Example with a Turning Point / 6.4.4.:
The Duffing Equation with Slowly Varying Coefficients / 6.4.5.:
Reentry Dynamics / 6.4.6.:
Advantages and Limitations of the Generalized Method / 6.4.7.:
Asymptotic Solutions of Linear Equations / 7.:
Second-Order Differential Equations / 7.1.:
Expansions Near an Irregular Singularity / 7.1.1.:
An Expansion of the Zeroth-Order Bessel Function for Large Argument / 7.1.2.:
Liouville's Problem / 7.1.3.:
Higher Approximations for Equations Containing a Large Parameter / 7.1.4.:
Homogeneous Problems with Slowly Varying Coefficients / 7.1.5.:
Reentry Missile Dynamics / 7.1.7.:
Inhomogeneous Problems with Slowly Varying Coefficients / 7.1.8.:
Successive Liouville-Green (WKB) Approximations / 7.1.9.:
Systems of First-Order Ordinary Equations / 7.2.:
Expansions Near an Irregular Singular Point / 7.2.1.:
Asymptotic Partitioning of Systems of Equations / 7.2.2.:
Subnormal Solutions / 7.2.3.:
Systems Containing a Parameter / 7.2.4.:
Homogeneous Systems with Slowly Varying Coefficients / 7.2.5.:
The Langer Transformation / 7.3.:
Problems with Two Turning Points / 7.3.3.:
Higher-Order Turning Point Problems / 7.3.4.:
Higher Approximations / 7.3.5.:
An Inhomogeneous Problem with a Simple Turning Point--First Approximation / 7.3.6.:
An Inhomogeneous Problem with a Simple Turning Point--Higher Approximations / 7.3.7.:
An Inhomogeneous Problem with a Second-Order Turning Point / 7.3.8.:
Turning Point Problems about Singularities / 7.3.9.:
Turning Point Problems of Higher Order / 7.3.10.:
Wave Equations / 7.4.:
The Born or Neumann Expansion and The Feynman Diagrams / 7.4.1.:
Renormalization Techniques / 7.4.2.:
Rytov's Method / 7.4.3.:
A Geometrical Optics Approximation / 7.4.4.:
A Uniform Expansion at a Caustic / 7.4.5.:
The Method of Smoothing / 7.4.6.:
References and Author Index
Subject Index
Introduction / 1.:
Parameter Perturbations / 1.1.:
An Algebraic Equation / 1.1.1.:
61.

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図書
Walter Rudin
出版情報: New York : McGraw-Hill, c1973  xiii, 397 p. ; 24 cm
シリーズ名: McGraw-Hill series in higher mathematics
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Preface
General Theory / Part 1:
Topological Vector Space Introduction Separation properties Linear Mappings Finite-dimensional spaces Metrization Boundedness and continuity Seminorms and local convexity Quotient spaces Examples Exercises / 1:
Completeness Baire category The Banach-Steinhaus theorem The open mapping theorem The closed graph theorem Bilinear mappings Exercises / 2:
Convexity The Hahn-Banach theorems Weak topologies Compact convex sets Vector-valued integration Holomorphic functions Exercises / 3:
Duality in Banach Spaces The normed dual of a normed space Adjoints Compact operators Exercises / 4:
Some Applications A continuity theorem Closed subspaces ofL p -spaces The range of a vector-valued measure A generalized Stone-Weierstrass theorem Two interpolation theorems Kakutani's fixed point theorem Haar measure on compact groups Uncomplemented subspaces Sums of Poisson kernels Two more fixed point theorems Exercises / 5:
Distributions and Fourier Transforms / Part 2:
Test Functions and Distributions Introduction Test function spaces Calculus with distributions Localization Supports of distributions Distributions as derivatives Convolutions Exercises / 6:
Fourier Transforms Basic properties Tempered distributions Paley-Wiener theorems Sobolev's lemma Exercises / 7:
Applications to Differential Equations Fundamental solutions Elliptic equations Exercises / 8:
Tauberian Theory Wiener's theorem The prime number theorem The renewal equation Exercises / 9:
Banach Algebras and Spectral Theory / Part 3:
Banach Algebras Introduction Complex homomorphisms Basic properties of spectra Symbolic calculus The group of invertible elements Lomonosov's invariant subspace theorem Exercises / 10:
Commutative Banach Algebras Ideals and homomorphisms Gelfand transforms Involutions Applications to noncommutative algebras Positive functionals Exercises / 11:
Bounded Operators on a Hillbert Space Basic facts Bounded operators A commutativity theorem Resolutions of the identity The spectral theorem Eigenvalues of normal operators Positive operators and square roots The group of invertible operators A characterization of B*-algebras An ergodic theorem Exercises / 12:
Unbounded Operators Introduction Graphs and symmetric operators The Cayley transform Resolutions of the identity The spectral theorem Semigroups of operators Exercises / 13:
Compactness and Continuity / Appendix A:
Notes and Comments / Appendix B:
Bibliography List of Special Symbols
Index
Preface
General Theory / Part 1:
Topological Vector Space Introduction Separation properties Linear Mappings Finite-dimensional spaces Metrization Boundedness and continuity Seminorms and local convexity Quotient spaces Examples Exercises / 1:
62.

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図書
Kerson Huang
出版情報: Singapore : World Scientific, c1982  x, 281 p. ; 24 cm
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63.

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図書
editor, J. Abadie ; contributors, S. Vajda ... [et al.]
出版情報: Amsterdam : North-Holland, 1967  xxii, 316 p. ; 23 cm
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64.

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図書
edited by Theodore R. Bashkow
出版情報: New York : Academic Press, 1968  xii, 330 p. ; 24 cm
シリーズ名: Electrical science
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65.

図書

図書
edited by Ted Bastin
出版情報: Cambridge, [Eng.] : At the University Press, 1971  viii, 345 p. ; 24 cm
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List of participants
Preface
Introduction / Part I:
The function of the colloquium - editorial / 1:
The conceptual problem of quantum theory from the experimentalist's point of view / O. R. Frisch2:
Niels Bohr and Complementarity: The Place of the Classical Language / Part II:
The Copenhagen interpretation / C. F. von WeizsÃñcker3:
On Bohr's views concerning the quantum theory / D. Bohm4:
The Measurement Problem / Part III:
Quantal observation in statistical interpretation / H. J. Groenewold5:
Macroscopic physics, quantum mechanics and quantum theory of measurement / G. M. Prosperi6:
Comment on the Daneri-Loinger-Prosperi quantum theory of measurement / Jeffrey Bub7:
The phenomenology of observation and explanation in quantum theory / J. H. M. Whiteman8:
Measurement theory and complex systems / M. A. Garstens9:
New Directions within Quantum Theory: What does the Quantum Theoretical Formalism Really Tell Us? / Part IV:
On the role of hidden variables in the fundamental structure of physics / 10:
Beyond what? Discussion: space-time order within existing quantum theory / C. W. Kilmister11:
Definability and measurability in quantum theory / Yakir Aharonov ; Aage Petersen12:
The bootstrap idea and the foundations of quantum theory / Geoffrey F. Chew13:
A Fresh Start? / Part V:
Angular momentum: an approach to combinatorial space-time / Roger Penrose14:
A note on discreteness, phase space and cohomology theory / B. J. Hiley15:
Cohomology of observations / R. H. Atkin16:
The origin of half-integral spin in a discrete physical space / Ted Bastin17:
Philosophical Papers / Part VI:
The unity of physics / 18:
A philosophical obstacle to the rise of new theories in microphysics / Mario Bunge19:
The incompleteness of quantum mechanics or the emperor's missing clothes / H. R. Post20:
How does a particle get from A to B? / 21:
Informational generalization of entropy in physics / Jerome Rothstein22:
Can life explain quantum mechanics? / H. H. Pattee23:
Discussion: phenomena and sense data in quantum theory / D. S. Linney24:
Index of persons
Index of subjects
List of participants
Preface
Introduction / Part I:
66.

図書

図書
Norman T.J. Bailey
出版情報: New York : J. Wiley, c1964  xi, 249 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Applied probability and statistics
A Wiley publication in applied statistics
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Generating Functions
Recurrent Events
Random Walk Models
Markov Chains
Discrete Branching Processes
Markov Processes in Continuous Time
Homogeneous Birth and Death Processes
Some Non-Homogeneous Processes
Multi-Dimensional Processes
Queueing Processes
Epidemic Processes
Competition and Predation
Diffusion Processes
Approximations to Stochastic Processes
Some Non-Markovian Processes
References
Solutions to Problems
Indices
Generating Functions
Recurrent Events
Random Walk Models
67.

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図書
editors, A.K. Aziz, J.W. Wingate, M.J. Balas
出版情報: New York : Academic Press, 1977  ix, 278 p. ; 24 cm
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68.

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図書
Melvin S. Berger
出版情報: New York : Academic Press, 1977  xix, 417 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 74
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69.

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図書
Toby Berger
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1971  xiii, 311 p. ; 24 cm
シリーズ名: Prentice-Hall information and system sciences series
Prentice-Hall electrical engineering series
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70.

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図書
Richard Bellman and Charlene Paule Smith
出版情報: New York : J. Wiley, [1973]  xviii, 205 p. ; 24 cm
シリーズ名: Operations Research Society of America. Publications in operations research ; no. 22
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71.

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図書
by Armand Borel ; with contributions by G. Bredon ... [et al.]
出版情報: Princeton, N.J. : Princeton University Press, 1960  245 p. ; 26 cm
シリーズ名: Annals of mathematics studies ; no. 46
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72.

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図書
Thomas L. Boullion, Patrick L. Odell
出版情報: New York : Wiley-Interscience, c1971  x, 103 p. ; 23 cm
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73.

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図書
James R. Brown
出版情報: New York : Academic Press, 1976  x, 190 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 70
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74.

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図書
[by] Garrett Birkhoff and Thomas C. Bartee
出版情報: New York : McGraw-Hill, c1970  xi, 431 p. ; 23 cm
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75.

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図書
[by] M. Bongard ; edited by Joseph K. Hawkins ; translated by Theodore Cheron
出版情報: New York : Spartan Books, [1970]  xvii, 253 p. ; 25 cm
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76.

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図書
edited by E.R. Caianiello
出版情報: New York : Academic Press, 1966  xiii, 225 p. ; 24 cm
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Preface / by E.R. Caianiello
Linear control systems; controllability / by H.S. Antosiewicz
Approximation of variational inequations / by J.P. Aubin
On the state-space theory of nonlinear systems / by A.V. Balakrishnan
Nonlinear problems posed by decision equations / by E.R. Caianiello
On a generalization of the bang-bang principle / by C. Castaing
Some computational aspects of the theory of optimal control / by W. De Back
The approximate solution of an unstable physical problem subject to constraints / by J. Douglas, Jr
Optimal control of diffusion processes / by W.H. Fleming
Convexity and control theory / by H. Halkin
Non-well-set problems and the method of quasi reversibility / by R. Lattès
On some optimization problems for linear parabolic equations / by J.L. Lions
Controllability and observability / by L. Markus
Convexity and duality / by J.J. Moreau
The first non-distributive algebra, with relations to optimization and control theory / by C. Muses
Suboptimal supervisory control / by A. Straszak
Preface / by E.R. Caianiello
Linear control systems; controllability / by H.S. Antosiewicz
Approximation of variational inequations / by J.P. Aubin
77.

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図書
Bromwich, Thomas John I'Anson, 1875-1929
出版情報: New York : Hafner Pub. Co., 1971  100 p. ; 22 cm
シリーズ名: Cambridge tracts in mathematics and mathematical physics ; no. 3
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78.

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図書
Michael D. Canon, Clifton D. Cullum, Jr., Elijah Polak
出版情報: New York : McGraw-Hill, c1970  xii, 285 p. ; 23 cm
シリーズ名: McGraw-Hill series in systems science
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79.

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Carlo Cercignani
出版情報: New York : Plenum Press, 1969  ix, 227 p. ; 24 cm
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80.

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図書
edited by Lamberto Cesari, Jack K. Hale, Joseph P. LaSalle
出版情報: New York : Academic Press, 1976  2 v. ; 24 cm
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81.

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図書
[by] M.L. Tsetlin ; translated by Scitran (Scientific Translation Service)
出版情報: New York : Academic Press, c1973  xvi, 288 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 102
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82.

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John C. Oxtoby
出版情報: New York : Springer-Verlag, c1980  ix, 106 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 2
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83.

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図書
[by] Kenneth J. Arrow [and] F.H. Hahn
出版情報: San Francisco : Holden-Day , Edinburgh : Oliver and Boyd, c1971  xii, 452 p. ; 24 cm
シリーズ名: Mathematical economics texts ; 6
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84.

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[by] Frederick S. Hillier [and] Gerald J. Lieberman
出版情報: San Francisco : Holden-Day, [1967]  x, 639 p. ; 24 cm
シリーズ名: Holden-Day series in industrial engineering and management science
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85.

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図書
by Elwyn R. Berlekamp
出版情報: New York : McGraw-Hill, c1968  xiv, 466 p. ; 24cm
シリーズ名: McGraw-Hill series in systems science
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86.

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図書
prepared for the International Statistical Institute by Maurice G. Kendall & William R. Buckland
出版情報: London ; New York : Published for the International Statistical Institute by Longman, 1982  213 p. ; 25 cm
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87.

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図書
Gert K. Pedersen
出版情報: London ; New York : Academic Press, 1979  ix, 416 p. ; 24 cm
シリーズ名: L.M.S. monographs ; 14
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88.

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図書
Samuel Karlin, Howard M. Taylor
出版情報: New York : Academic Press, c1975  xvi, 557 p. ; 24 cm
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Preface
Elements of Stochastic Processes
Markov Chains
The Basic Limit Theorem of Markov Chains and Applications
Classical Examples of Continuous Time Markov Chains
Renewal Processes
Martingales
Brownian Motion
Branching Processes
Stationary Processes
Review of Matrix Analysis
Index
Preface
Elements of Stochastic Processes
Markov Chains
89.

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図書
Jerome Malitz
出版情報: New York ; Tokyo : Springer-Verlag, c1979  xii, 198 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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90.

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Robert Gilmore
出版情報: New York : Wiley, c1974  xx, 587 p. ; 23 cm
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91.

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図書
P.M. Cohn
出版情報: Dordrecht ; Boston : D. Reidel Pub. Co , Hingham, MA : Sold and distributed in the U.S.A. and Canada by Kluwer Boston, c1981  xv, 412 p. ; 23 cm
シリーズ名: Mathematics and its applications ; v. 6
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92.

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図書
edited by Gian-Carlo Rota ; with the editorial board of Advances in mathematics
出版情報: New York : Academic Press, 1979  xi, 263 p. ; 24 cm
シリーズ名: Advances in mathematics : supplementary studies ; v. 5
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93.

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by P.L. Bhatnagar
出版情報: Oxford : Clarendon Press, 1979  xii, 142 p. ; 25 cm
シリーズ名: Oxford mathematical monographs
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94.

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図書
Gottfried Köthe ; translated by D.J.H. Garling
出版情報: Berlin ; New York : Springer-Verlag, 1969-1979  2 v. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 159, 237
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95.

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図書
V. de Alfaro and T. Regge
出版情報: Amsterdam : North-Holland Publishing Company, 1965.  ix, 205p. ; 24 cm.
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96.

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図書
Gordon S. G. Beveridge and Robert S. Schechter
出版情報: New York : McGraw-Hill, c1970  xix, 773 p. ; 24 cm.
シリーズ名: McGraw-Hill chemical engineering series
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97.

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図書
edited by Lucien M. Le Cam and Jerzy Neyman
出版情報: Berkeley : University of California Press, 1967  xix, 934 p. ; 26 cm
シリーズ名: Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability / edited by Lucien M. Le Cam and Jerzy Neyman ; v. 4
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98.

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図書
Robert Betchov [and] William O. Criminale, Jr
出版情報: New York : Academic Press, 1967  xiv, 330 p. ; 24 cm
シリーズ名: Applied mathematics and mechanics ; v. 10
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99.

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図書
Harald Bohr ; text translated by Harvey Cohn; appendices translated by F. Steinhardt
出版情報: New York : Chelsea, 1951  113 p. ; 24 cm
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100.

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図書
edited by Ulrich Hoyer
出版情報: Amsterdam : North-Holland, 1981  xv, 647 p. ; 27 cm
シリーズ名: Collected works / Niels Bohr ; general editor, L. Rosenfeld ; v. 2
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目次情報: 続きを見る
Editors' foreword
Abbreviated titles of periodicals
Absorption of charged particles / Part I:
Constitution of atoms and molecules / Part II:
Consolidation of the quantum theory of the atom / Part III:
Selected correspondence 1912-1917 / Part IV:
Inventory of manuscripts in the Niels Bohr archive
Index
Editors' foreword
Abbreviated titles of periodicals
Absorption of charged particles / Part I:
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