1.
図書
小泉正二著
出版情報:
東京 : 紀伊國屋書店, 1982.10 iv, 245p ; 22cm
シリーズ名:
紀伊國屋数学叢書 ; 22
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2.
図書
片山孝次著
出版情報:
東京 : 岩波書店, 1982.10 xi, 279p ; 19cm
シリーズ名:
数学入門シリーズ ; 3
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3.
図書
Avner Friedman
4.
図書
Lars Valerian Ahlfors ; Rae Michael Shortt, assistant editor
5.
図書
J.D. Achenbach, A.K. Gautesen, and H. McMaken
6.
図書
edited by Victor Szebehely
7.
図書
Henry G. Bray ... [et al.] ; edited by Michael Weinstein
出版情報:
Passaic, NJ : Polygonal, c1982 vi, 231 p. ; 25 cm
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8.
図書
Alain Bensoussan, Jacques-Louis Lions ; English version edited, prepared, and produced by Trans-Inter-Scientia
9.
図書
Ulf Grenander
10.
図書
Howard Osborn
11.
図書
[edited by Stefan A. Burr]
12.
図書
Roger G. Newton
13.
図書
G.I. Marchuk ; translated by Arthur A. Brown
14.
図書
A.A. Kirillov, A.D. Gvishiani ; translated by Harold H. McFaden
15.
図書
R. Dennis Cook and Sanford Weisberg
16.
図書
Richard S. Pierce
17.
図書
P.M. Cohn
出版情報:
Chichester [Sussex] ; New York : J. Wiley, c1982-c1991 3 v. ; 23 cm
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目次情報:
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Sets
Lattices
Field Theory
Modules
Rings and Algebras
Quadratic Forms and Ordered Fields
Representation Theory of Finite Groups
Valuation Theory
Commutative Rings
Coding Theory
Languages and Automata
Bibliography
List of Notations
Index
Sets
Lattices
Field Theory
18.
図書
edited by A.S. Troelstra and D. van Dalen
19.
図書
Kerson Huang
出版情報:
Singapore : World Scientific, c1982 x, 281 p. ; 24 cm
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20.
図書
edited by Shing-Tung Yau
21.
図書
Arch W. Naylor, George R. Sell
目次情報:
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Preface
Introduction
Set-Theoretic Structure
Topological Structure
Algebraic Structure
Combined Topological and Algebraic Structure
Analysis of Linear Operators (Compact Case)
Analysis of Unbounded Operators
The Hoelder, Schwartz, and Minkowski Inequalities
Cardinality
Zorn's Lemma
Integration and Measure Theory
Probability Spaces and Stochastic Processes
Index of Symbols
Index
Preface
Introduction
Set-Theoretic Structure
22.
図書
R.P. Burn
出版情報:
Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1982 vii, 257 p. ; 24 cm
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Preface to the second edition
Introduction
The fundamental theorem of arithmetic / 1：
Modular addition and Euler's Phi function / 2：
Modular multiplication / 3：
Quadratic residues / 4：
The equation xn+yn=zn, for n=2, 3, 4 / 5：
Sums of squares / 6：
Partitions / 7：
Quadratic forms / 8：
Geometry of numbers / 9：
Continued fractions / 10：
Approximation of irrationals by rationals / 11：
bibliography
Index
Preface to the second edition
Introduction
The fundamental theorem of arithmetic / 1：
23.
図書
Moshe Carmeli
出版情報:
New York : J. Wiley, c1982 xvii, 650 p. ; 25 cm
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24.
図書
Jacques Chazarain and Alain Piriou
出版情報:
Amsterdam ; New York : North-Holland Pub. Co. , New York : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1982 xiv, 559 p. ; 24 cm
シリーズ名:
Studies in mathematics and its applications ; 14
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25.
図書
Robb J. Muirhead
目次情報:
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The Multivariate Normal and Related Distributions
Jacobians, Exterior Products, Kronecker Products, and Related Topics
Samples from a Multivariate Normal Distribution, and the Wishart and Multivariate Beta Distributions
Some Results Concerning Decision-Theoretic Estimation of the Parameters of a Multivariate Normal Distribution
Correlation Coefficients
Invariant Tests and Some Applications
Zonal Polynomials and Some Functions of Matrix Argument
Some Standard Tests on Covariance Matrices and Mean Vectors
Principal Components and Related Topics
The Multivariate Linear Model
Testing Independence Between Sets of Variables and Canonical Correlation Analysis
Appendix
Tables
Bibliography
Index
The Multivariate Normal and Related Distributions
Jacobians, Exterior Products, Kronecker Products, and Related Topics
Samples from a Multivariate Normal Distribution, and the Wishart and Multivariate Beta Distributions
26.
図書
edited by John Noye
出版情報:
Amsterdam ; New York : North-Holland Pub. Co. , New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier North-Holland, 1982 xii, 647 p. ; 23 cm
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27.
図書
Irvin Kay and Harry E. Moses
28.
図書
Bernard Gelbaum
29.
図書
Gábor Szegö ; Richard Askey, editor
30.
図書
Jack Macki, Aaron Strauss
31.
図書
S. Fenyö, H.W. Stolle
32.
図書
von I.W. Gelman und W.G. Mazja ; in deutscher Sprache herausgegeben von G. Wildenhain
出版情報:
Basel : Birkhäuser, 1982 221 p. ; 25 cm
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33.
図書
Jagdish Mehra, Helmut Rechenberg
34.
図書
Jacques Sesiano
35.
図書
K. Jörgens ; translated by G.F. Roach
36.
図書
Otto Vejvoda, in collaboration with Leopold Herrmann ... [et al.]
出版情報:
The Hague ; Boston : M. Nijhoff , Hingham, MA : Distributor for the U.S. and Canada, Kluwer Boston, 1982 xiii, 358 p. ; 25 cm
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37.
図書
Alain Bensoussan
38.
図書
T. Tsuzuku ; translated by A. Sevenster and T. Okuyama
目次情報:
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Introduction / Part I：
Notation and preliminaries / 1：
Groups / 2：
Algebraic structures / 3：
Vector spaces / 4：
Geometric structures / 5：
Fundamental Properties of Finite Groups / Part II：
The Sylow theorems
Direct products and semi-direct products
Normal series
Finite Abelian groups
p-groups
Groups with operators / 6：
Group extensions and the theorem of Schur-Zassenhaus / 7：
Normal α-complements / 8：
Normal p-complements / 9：
Representation of finite groups / 10：
Frobenius groups / 11：
Fundamental Theory of Permutation Groups / Part III：
Permutations
Transitivity and intransitivity
Primitivity and imprimitivity
Multiple transitivity
Normal subgroups
Permutation groups of prime degree
Primitive permutation groups
Examples - Symmetric Groups and General Linear Groups / Part IV：
Conjugacy classes and composition series of the symmetric and alternating group
Conditions for being a symmetric or alternating group
Subgroups and automorphism groups of SΩ and AΩ
Generators and fundamental relations for Sn and An
The structure of general semi-linear groups
Properties of PSL(V) as a permutation group (dim V ≥ 3)
Symmetric groups and general linear groups of low order
Finite Projective Geometry / Part V：
Projective planes and affine planes
Higher-dimensional; projective geometry
Characterization of projective geometries
Finite Groups and Finite Geometries / Part VI：
Designs constructed from 2-transitive groups
Characterization of projective transformation
Epilogue
Index
Introduction / Part I：
Notation and preliminaries / 1：
Groups / 2：
39.
図書
Daniel Gorenstein
40.
図書
Steven G. Krantz
41.
図書
by S.G. Kreĭn, Ju.I. Petunin, E.M. Semenov
42.
図書
by Harro G. Heuser ; translated by John Horváth
出版情報:
Chichester ; New York : Wiley, 1982 xv, 408 p. ; 23 cm
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43.
図書
Hans Petersson
44.
図書
P. Dita, V. Georgescu, R. Purice, editors
45.
図書
Walter Feit
出版情報:
Amsterdam ; New York : North-Holland Pub. Co. : sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1982 xiv, 502 p. ; 23 cm
シリーズ名:
North-Holland mathematical library ; v. 25
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Group Algebras
The Green and Brauer Correspondences, the First Main Theorem
Characters, Higher Decomposition Numbers, the Second Main Theorem
Subsections, Lower Defect Groups, the Third Main Theorem
Blocks and Extensions of R
Blocks with a Cyclic Defect Group
Groups with a Sylow Group of Prime Order
The Structure of A(G)
p-Solvable Groups
An Analogue of Jordan's Theorem
Types of Blocks
Group Algebras
The Green and Brauer Correspondences, the First Main Theorem
Characters, Higher Decomposition Numbers, the Second Main Theorem
46.
図書
Steven R. Lay
目次情報:
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Fundamentals / 1：
Linear Algebra and Topology
Convex Sets / 2：
Hyperplanes
Hyperplanes and Linear Functionals / 3：
Separating Hyperplanes / 4：
Supporting Hyperplanes / 5：
Helly-Type Theorems
Helly's Theorem / 6：
Kirchberger's Theorem / 7：
Kirchberger-type Theorems
Separation by a Spherical Surface / 8：
Separation by a Cylinder / 9：
Separation by a Parallelotope / 10：
Special Topics in E[superscript 2]
Sets of Constant Width / 11：
Universal Covers / 12：
The Isoperimetric Problem / 13：
Families of Convex Sets
Parallel Bodies / 14：
The Blaschke Selection Theorem / 15：
The Existence of Extremal Sets / 16：
Characterizations of Convex Sets
Local Convexity / 17：
Local Support Properties / 18：
Nearest-Point Properties / 19：
Polytopes
The Faces of a Polytope / 20：
Special Types of Polytopes and Euler's Formula / 21：
Approximation by Polytopes / 22：
Duality
Polarity and Polytopes / 23：
Dual Cones / 24：
Optimization
Finite Matrix Games / 25：
Linear Programming / 26：
The Simplex Method / 27：
Convex Functions
Basic Properties / 28：
Support and Distance Functions / 29：
Continuity and Differentiability / 30：
Solutions, Hints, and References for Exercises
Bibliography
Index
Fundamentals / 1：
Linear Algebra and Topology
Convex Sets / 2：
47.
図書
Jacques Dixmier
出版情報:
Amsterdam ; New York : North-Holland , New York : sole distributors for the U.S.A. and Canada, Elsevier North Holland, 1982 xiii, 513 p. ; 23 cm
シリーズ名:
North-Holland mathematical library ; v. 15
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48.
図書
Paul R. Halmos
49.
図書
Glenn Stevens
50.
図書
Neal Koblitz, editor
51.
図書
A. Weil
52.
図書
Jean Dieudonné ; translated by I.G. Macdonald
53.
図書
edited by a committee appointed by the London Mathematical Society
出版情報:
Oxford : Clarendon Press , New York : Oxford University Press, 1982 2 v. (xxxviii, 1664, 11 p., [2] leaves of plates) ; 26 cm
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54.
図書
M.A. Naimark, A.I. Štern ; translated by Elizabeth Hewitt ; translation editor Edwin Hewitt
55.
図書
[edited by Richard V. Kadison ; prepared by the American Mathematical Society ...]
56.
図書
Serge Lang
57.
図書
B. Huppert, N. Blackburn
目次情報:
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Elements of General Representation Theory / Chapter VII：
Extension of the Ground-Field / 1：
Splitting Fields / 2：
The Number of Irreducible Modular Representations / 3：
Induced Modules / 4：
The Number of Indecomposable KG-Modules / 5：
Indecomposable and Absolutely Indecomposable Modules / 6：
Relative Projective and Relative Injective Modules / 7：
The Dual Module / 8：
Representations of Normal Subgroups / 9：
One-Sided Decompositions of the Group-Ring / 10：
Frobenius Algebras and Symmetric Algebras / 11：
Two-Sided Decompositions of Algebras / 12：
Blocks of p-Constrained Groups / 13：
Kernels of Blocks / 14：
p-Chief Factors of p-Soluble Groups / 15：
Green's Indecomposability Theorem / 16：
Notes on Chapter VII
Linear Methods in Nilpotent Groups / Chapter VIII：
Central Series with Elementary Abelian Factors
Jennings' Theorem
Transitive Linear Groups
Some Number-Theoretical Lemmas
Lemmas on 2-Groups
Commutators and Bilinear Mappings
Suzuki 2-Groups
Lie Algebras
The Lie Ring Method and an Application
Regular Automorphisms
The Lower Central Series of Free Groups
Remarks on the Burnside Problem
Automorphisms of p-Groups
Notes on Chapter VIII
Linear Methods and Soluble Groups / Chapter IX：
Introduction
Hall and Higman's Theorem B
The Exceptional Case
Reduction Theorems for Burnside's Problem
Other Consequences of Theorem B
Fixed Point Free Automorphism Groups
p-Stability
Soluble Groups with One Class of Involutions
Notes on Chapter IX
Bibliography
Index of Names
Index
Local Finite Group Theory / Chapter X：
Elementary Lemmas
Groups of Order Divisible by at Most Two Primes
The J-Subgroup
Conjugate p-Subgroups
Characteristic p-Functors
Transfer Theorems
Maximal p-Factor Groups
Glauberman's K-Subgroups
Further Properties of J, ZJ and K
The Product Theorem for J
Local Methods and Cohomology
The Generalized Fitting Subgroup
The Generalized p'-Core
Applications of the Generalized Fitting Subgroup
Signalizer Functors and a Transitivity Theorem
Notes on Chapter X
Zassenhaus Groups / Chapter XI：
Elementary Theory of Zassenhaus Groups
Sharply Triply Transitive Permutation Groups
The Suzuki Groups
Exceptional Characters
Characters of Zassenhaus Groups
Feit's Theorem
Non-Regular Normal Subgroups of Multiply Transitive Permutation Groups
Real Characters
Zassenhaus Groups of Even Degree
Zassenhaus Groups of Odd Degree and a Characterization of PGL(2, 2f )
The Characterization of the Suzuki Groups
Order Formulae
Survey of Ree Groups
Notes On Chapter XI
Multiply Transitive Permutation Groups / Chapter XII：
The Mathieu Groups
Transitive Extensions of Groups of Suzuki Type
Sharply Multiply Transitive Permutation Groups
On the Existence of 6- and 7-Fold Transitive Permutation Groups
A Characterization of M11 and PSL(3, 3)
Multiply Homogeneous Groups
Doubly Transitive Soluble Permutation Groups
A Characterization of SL(2, 5)
Sharply Doubly Transitive Permutation Groups
Permutation Groups of Prime Degree
Notes on Chapter XII
Elements of General Representation Theory / Chapter VII：
Extension of the Ground-Field / 1：
Splitting Fields / 2：
58.
図書
Walter Littman, editor ; Luis A. Caffarelli ... [et al.]
出版情報:
[Washington, D.C.] : Mathematical Association of America, c1982 xiii, 268 p. ; 21 cm
シリーズ名:
Studies in mathematics ; v. 23
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59.
図書
Kai Lai Chung
60.
図書
edited by Walter Ledermann and Steven Vajda
61.
図書
Tosio Kato
出版情報:
New York : Springer-Verlag, c1982 xiii, 161 p. ; 24 cm
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62.
図書
Thierry Aubin
63.
図書
by Yvonne Choquet-Bruhat, Cécile DeWitt-Morette, with Margaret Dillard-Bleick
出版情報:
Amsterdam ; Tokyo : North-Holland, 1982-1989 2 v. ; 25 cm
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Preface
Review of fundamental notions of analysis / Chapters: I：
Differential calculus on Banach spaces / II：
Differentiable manifolds, finite dimensional case / III：
Integration on manifolds / IV：
Riemannian manifolds Kahlerian manifolds / V：
bis. Connections on a principle fibre bundle
Distributions / VI：
Differentiable manifolds, infinite dimensional case / VII：
References
Symbols
Index
Preface
Review of fundamental notions of analysis / Chapters: I：
Differential calculus on Banach spaces / II：
64.
図書
Wilhelm Blaschke ; herausgegeben von W. Burau ... [et al.]
出版情報:
Essen : Thales-Verlag, 1982-1986 6 v. ; 25 cm
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Bd. 1. Schraublinien, unendliche ebene Gruppen, Geometrie der Speere, Hermitische Geometrie, Geraden-Kugel-Transformation
Bd. 2. Kinematik und Integralgeometrie
Bd. 3. Konvexgeometrie
Bd. 4. Affine Differentialgeometrie Differentialgeometrie der Kreis-und Kungelgruppen
Bd. 5. Geometrie der gewebe
Bd. 6. Selecta
Bd. 1. Schraublinien, unendliche ebene Gruppen, Geometrie der Speere, Hermitische Geometrie, Geraden-Kugel-Transformation
Bd. 2. Kinematik und Integralgeometrie
Bd. 3. Konvexgeometrie
65.
図書
Francesco Calogero and Antonio Degasperis
66.
図書
H. Heyer
67.
図書
A. Gardiner
出版情報:
New York : Springer-Verlag, c1982 IX, 306 p. ; 24 cm
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68.
図書
Constance Reid
出版情報:
New York : Springer-Verlag, c1982 298 p., [12] p. of plates ; 25 cm
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69.
図書
François Fricker
70.
図書
edited by L. Collatz, G. Meinardus, G. Nürnberger
71.
図書
edited by Walter Schempp, Karl Zeller
72.
図書
Workshop on Numerical Treatment of Free Boundary Value Problems, Oberwolfach, November 16-22, 1980 ; edited by J. Albrecht, L. Collatz, K.-H. Hoffmann = Tagung über Numerische Behandlung Freier Randwertaufgaben, Oberwolfach, 16.-22. November 1980 ; heraugegeben von J. Albrecht, L. Collatz, K.-H. Hoffmann
73.
図書
Hans Stephani ; edited by John Stewart ; translated by Martin Pollock and John Stewart
出版情報:
Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1982 xvi, 298 p. ; 24 cm
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Foreword
Editor+s preface
Notations, conventions and important formulae / 1：
Introduction / 2：
Foundations of Riemannian geometry / 3：
Foundations of Einstein+s theory of gravitation / 4：
Linearised theory of gravitation, far fields and gravitational waves / 5：
Invariant characterisation of exact solutions / 6：
Gravitational collapse and black holes / 7：
Cosmology / 8：
Non-Einsteinian theories of gravitation / 9：
Bibliography
Index
Foreword
Editor+s preface
Notations, conventions and important formulae / 1：
74.
図書
Kei Takeuchi, Haruo Yanai, Bishwa Nath Mukherjee
出版情報:
New Delhi : Wiley Eastern, c1982 xi, 458 p. ; 25 cm
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75.
図書
James Dugundji and Andrzej Granas
76.
図書
S.G. Krein ; translated from the Russian by A. Iacob
出版情報:
Boston : Birkhäuser, 1982 xii, 102 p. ; 24 cm
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77.
図書
André Lichnerowicz
出版情報:
Paris : Hermann, c1982 633 p. ; 25 cm
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78.
図書
H.G. Kaper, C.G. Lekkerkerker, J. Hejtmanek
79.
図書
volume editors, C. Apostol ... [et al.] ; managing editor, Gr. Arsene
80.
図書
edited by Joseph P.S. Kung
出版情報:
New York : Academic Press, 1982 viii, 334 p. ; 24 cm
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81.
図書
B.M. Levitan and V.V. Zhikov ; translated by L.W. Longdon
出版情報:
Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1982 x, 211 p. ; 24 cm
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82.
図書
edited by I. Gohberg
83.
図書
editor of the volume, Tadeusz Traczyk
84.
図書
edited by Shanti S. Gupta and James O. Berger
出版情報:
New York : Academic Press, 1982 2 v. ; 24 cm
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85.
図書
C. Rogers and W.F. Shadwick
86.
図書
Eduard Study ; mit einer Einleitung zur Reprintausgabe von Gian-Carlo Rota
出版情報:
Berlin : Springer-Verlag, 1982 xi, 210 p ; 24 cm
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87.
図書
Marvin J. Karson
出版情報:
Ames, Iowa : Iowa State University Press, 1982 x, 307 p. ; 26 cm
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88.
図書
Yu A. Rozanov ; translated by Constance M. Elson
出版情報:
New York : Springer-Verlag, c1982 ix, 201 p. ; 24 cm
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89.
図書
T.J. Willmore
90.
図書
F. Langouche, D. Roekaerts, and E. Tirapegui
出版情報:
Dordrecht, Holland ; Boston : D. Reidel Pub. Co. , Hingham, MA : Sold and distributed in the U.S.A. and Canada by Kluwer Boston, c1982 xii, 313 p. ; 24 cm
シリーズ名:
Mathematics and its applications ; v. 10
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91.
図書
D.S. Jones
出版情報:
Cambridge ; New York : Cambridge University Press, 1982 xiii, 539 p. ; 23 cm
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Convergence / 1：
Good functions / 2：
Generalised functions / 3：
Powers of x / 4：
Series / 5：
Multiplication and the convolution product / 6：
Several variables / 7：
Change of variables and related topics / 8：
Asymptotic behaviour of Fourier integrals / 9：
Some applications / 10：
Weak functions / 11：
The Laplace transform / 12：
Convergence / 1：
Good functions / 2：
Generalised functions / 3：
92.
図書
Leon Lapidus, George F. Pinder
出版情報:
New York : Wiley, c1982 677 p. ; 24 cm
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Fundamental Concepts / Chapter 1.：
Notation / 1.0.：
First-Order Partial Differential Equations / 1.1.：
First-Order Quasilinear Partial Differential Equations / 1.1.1.：
Initial Value or Cauchy Problem / 1.1.2.：
Application of Characteristic Curves / 1.1.3.：
Nonlinear First-Order Partial Differential Equations / 1.1.4.：
Second-Order Partial Differential Equations / 1.2.：
Linear Second-Order Partial Differential Equations / 1.2.1.：
Classification and Canonical Form of Selected Partial Differential Equations / 1.2.2.：
Quasilinear Partial Differential Equations and Other Ideas / 1.2.3.：
Systems of First-Order PDEs / 1.3.：
First-Order and Second-Order PDEs / 1.3.1.：
Characteristic Curves / 1.3.2.：
Applications of Characteristic Curves / 1.3.3.：
Initial and Boundary Conditions / 1.4.：
References
Basic Concepts in the Finite Difference and Finite Element Methods / Chapter 2.：
Introduction / 2.0.：
Finite Difference Approximations / 2.1.：
Taylor Series Expansions / 2.1.1.：
Operator Notation for u(x) / 2.1.3.：
Finite Difference Approximations in Two Dimensions / 2.1.4.：
Additional Concepts / 2.1.5.：
Introduction to Finite Element Approximations / 2.2.：
Method of Weighted Residuals / 2.2.1.：
Application of the Method of Weighted Residuals / 2.2.2.：
The Choice of Basis Functions / 2.2.3.：
Two-Dimensional Basis Functions / 2.2.4.：
Approximating Equations / 2.2.5.：
Relationship between Finite Element and Finite Difference Methods / 2.3.：
Finite Elements on Irregular Subspaces / Chapter 3.：
Triangular Elements / 3.0.：
The Linear Triangular Element / 3.1.1.：
Area Coordinates / 3.1.2.：
The Quadratic Triangular Element / 3.1.3.：
The Cubic Triangular Element / 3.1.4.：
Higher-Order Triangular Elements / 3.1.5.：
Isoparametric Finite Elements / 3.2.：
Transformation Functions / 3.2.1.：
Numerical Integration / 3.2.2.：
Isoparametric Serendipity Hermitian Elements / 3.2.3.：
Isoparametric Hermitian Elements in Normal and Tangential Coordinates / 3.2.4.：
Boundary Conditions / 3.3.：
Three-Dimensional Elements / 3.4.：
Parabolic Partial Differential Equations / Chapter 4.：
Partial Differential Equations / 4.0.：
Well-Posed Partial Differential Equations / 4.1.1.：
Model Difference Approximations / 4.2.：
Well-Posed Difference Forms / 4.2.1.：
Derivation of Finite Difference Approximations / 4.3.：
The Classic Explicit Approximation / 4.3.1.：
The Dufort-Frankel Explicit Approximation / 4.3.2.：
The Richardson Explicit Approximation / 4.3.3.：
The Backwards Implicit Approximation / 4.3.4.：
The Crank-Nicolson Implicit Approximation / 4.3.5.：
The Variable-Weighted Implicit Approximation / 4.3.6.：
Consistency and Convergence / 4.4.：
Stability / 4.5.：
Heuristic Stability / 4.5.1.：
Von Neumann Stability / 4.5.2.：
Matrix Stability / 4.5.3.：
Some Extensions / 4.6.：
Influence of Lower-Order Terms / 4.6.1.：
Higher-Order Forms / 4.6.2.：
Predictor-Corrector Methods / 4.6.3.：
Asymmetric Approximations / 4.6.4.：
Variable Coefficients / 4.6.5.：
Nonlinear Parabolic PDEs / 4.6.6.：
The Box Method / 4.6.7.：
Solution of Finite Difference Approximations / 4.7.：
Solution of Implicit Approximations / 4.7.1.：
Explicit versus Implicit Approximations / 4.7.2.：
Composite Solutions / 4.8.：
Global Extrapolation / 4.8.1.：
Some Numerical Results / 4.8.2.：
Local Combination / 4.8.3.：
Composites of Different Approximations / 4.8.4.：
Finite Difference Approximations in Two Space Dimensions / 4.9.：
Explicit Methods / 4.9.1.：
Irregular Boundaries / 4.9.2.：
Implicit Methods / 4.9.3.：
Alternating Direction Explicit (ADE) Methods / 4.9.4.：
Alternating Direction Implicit (ADI) Methods / 4.9.5.：
LOD and Fractional Splitting Methods / 4.9.6.：
Hopscotch Methods / 4.9.7.：
Mesh Refinement / 4.9.8.：
Three-Dimensional Problems / 4.10.：
ADI Methods / 4.10.1.：
Iterative Solutions / 4.10.2.：
Finite Element Solution of Parabolic Partial Differential Equations / 4.11.：
Galerkin Approximation to the Model Parabolic Partial Differential Equation / 4.11.1.：
Approximation of the Time Derivative / 4.11.2.：
Approximation of the Time Derivative for Weakly Nonlinear Equations / 4.11.3.：
Finite Element Approximations in One Space Dimension / 4.12.：
Formulation of the Galerkin Approximating Equations / 4.12.1.：
Linear Basis Function Approximation / 4.12.2.：
Higher-Degree Polynomial Basis Function Approximation / 4.12.3.：
Formulation Using the Dirac Delta Function / 4.12.4.：
Orthogonal Collocation Formulation / 4.12.5.：
Asymmetric Weighting Functions / 4.12.6.：
Finite Element Approximations in Two Space Dimensions / 4.13.：
Galerkin Approximation in Space and Time / 4.13.1.：
Galerkin Approximation in Space Finite Difference in Time / 4.13.2.：
Asymmetric Weighting Functions in Two Space Dimensions / 4.13.3.：
Lumped and Consistent Time Matrices / 4.13.4.：
Collocation Finite Element Formulation / 4.13.5.：
Treatment of Sources and Sinks / 4.13.6.：
Alternating Direction Formulation / 4.13.7.：
Finite Element Approximations in Three Space Dimensions / 4.14.：
Example Problem / 4.14.1.：
Summary / 4.15.：
Elliptic Partial Differential Equations / Chapter 5.：
Model Elliptic PDEs / 5.0.：
Specific Elliptic PDEs / 5.1.1.：
Further Items / 5.1.2.：
Finite Difference Solutions in Two Space Dimensions / 5.2.：
Five-Point Approximations and Truncation Error / 5.2.1.：
Nine-Point Approximations and Truncation Error / 5.2.2.：
Approximations to the Biharmonic Equation / 5.2.3.：
Boundary Condition Approximations / 5.2.4.：
Matrix Form of Finite Difference Equations / 5.2.5.：
Direct Methods of Solution / 5.2.6.：
Iterative Concepts / 5.2.7.：
Formulation of Point Iterative Methods / 5.2.8.：
Convergence of Point Iterative Methods / 5.2.9.：
Line and Block Iteration Methods / 5.2.10.：
Acceleration and Semi-Iterative Overlays / 5.2.11.：
Finite Difference Solutions in Three Space Dimensions / 5.3.：
Iteration Concepts / 5.3.1.：
Finite Element Methods for Two Space Dimensions / 5.3.3.：
Galerkin Approximation / 5.4.1.：
Collocation Approximation / 5.4.2.：
Mixed Finite Element Approximation / 5.4.4.：
Approximation of the Biharmonic Equation / 5.4.5.：
Boundary Integral Equation Methods / 5.5.：
Fundamental Theory / 5.5.1.：
Boundary Element Formulation / 5.5.2.：
Linear Interpolation Functions / 5.5.3.：
Poisson's Equation / 5.5.5.：
Nonhomogeneous Materials / 5.5.6.：
Combination of Finite Element and Boundary Integral Equation Methods / 5.5.7.：
Three-Dimensional Finite Element Simulation / 5.6.：
Hyperbolic Partial Differential Equations / 5.7.：
Equations of Hyperbolic Type / 6.0.：
Finite Difference Solution of First-Order Scalar Hyperbolic Partial Differential Equations / 6.2.：
Stability, Truncation Error, and Other Features / 6.2.1.：
Other Approximations / 6.2.2.：
Dissipation and Dispersion / 6.2.3.：
Hopscotch Methods and Mesh Refinement / 6.2.4.：
Finite Difference Solution of First-Order Vector Hyperbolic Partial Differential Equations / 6.3.：
Finite Difference Solution of First-Order Vector Conservative Hyperbolic Partial Differential Equations / 6.4.：
Finite Difference Solutions to Two- and Three-Dimensional Hyperbolic Partial Differential Equations / 6.5.：
Finite Difference Schemes / 6.5.1.：
Two-Step, ADI, and Strang-Type Algorithms / 6.5.2.：
Conservative Hyperbolic Partial Differential Equations / 6.5.3.：
Finite Difference Solution of Second-Order Model Hyperbolic Partial Differential Equations / 6.6.：
One-Space-Dimension Hyperbolic Partial Differential Equation / 6.6.1.：
Explicit Algorithms / 6.6.2.：
Implicit Algorithms / 6.6.3.：
Simultaneous First-Order Partial Differential Equations / 6.6.4.：
Mixed Systems / 6.6.5.：
Two- and Three-Space-Dimensional Hyperbolic Partial Differential Equations / 6.6.6.：
Implicit ADI and LOD Methods / 6.6.7.：
Finite Element Solution of First-Order Model Hyperbolic Partial Differential Equations / 6.7.：
Asymmetric Weighting Function Approximation / 6.7.1.：
An H[superscript -1] Galerkin Approximation / 6.7.3.：
Orthogonal Collocation with Asymmetric Bases / 6.7.4.：
Finite Element Solution of Two- and Three-Space-Dimensional First-Order Hyperbolic Partial Differential Equations / 6.7.6.：
Galerkin Finite Element Formulation / 6.8.1.：
Finite Element Solution of First-Order Vector Hyperbolic Partial Differential Equations / 6.8.2.：
Finite Element Solution of Two- and Three-Space-Dimensional First-Order Vector Hyperbolic Partial Differential Equations / 6.9.1.：
Finite Element Solution of One-Space-Dimensional Second-Order Hyperbolic Partial Differential Equations / 6.10.1.：
Time Approximations / 6.11.1.：
Finite Element Solution of Two- and Three-Space-Dimensional Second-Order Hyperbolic Partial Differential Equations / 6.11.3.：
Index / 6.12.1.：
Fundamental Concepts / Chapter 1.：
Notation / 1.0.：
First-Order Partial Differential Equations / 1.1.：
93.
図書
edited by Peter J. Hilton and Gail S. Young ; with contributions by Kenneth Baclawski ... [et al.]
出版情報:
New York : Springer-Verlag, c1982 vii, 163 p. ; 25 cm
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94.
図書
Takayuki Oda
95.
図書
edited by Gy. Soós and J. Szenthe
96.
図書
M. Dikmen
97.
図書
Patrick Le Barz, Yves Hervier, editors
98.
図書
F.G. Friedlander
出版情報:
Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1982 vi, 157 p. ; 24 cm
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99.
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bearbeitet und kommentiert von L.P. Bouckaert, B.L. van der Waerden ; unter Benützung von Vorarbeiten von H. Straub
100.
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D. Mumford, J. Fogarty
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