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1.

図書
図書
1. 数学解析 (上 ; 下)
溝畑茂著
出版情報: 東京 : 朝倉書店, 1973.2-1973.3  2冊 ; 23cm
シリーズ名: 数理解析シリーズ ; 1
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2.

図書
図書
2. トポロジーの話題から
野口広著
出版情報: 東京 : 日本評論社, 1973.3  vi, 192p ; 27cm
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3.

図書
図書
3. 関数解析学 (上 ; 下)
リース, ナジー[著] ; 絹川正吉, 清原岑夫共訳
出版情報: 東京 : 共立出版, 1973.9-1974.4  2冊 ; 22cm
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4.

図書
図書
4. 確率の計算
工藤弘吉著
出版情報: 東京 : 岩波書店, 1973.11  ix, 294p ; 18cm
シリーズ名: 岩波全書 ; 279
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5.

図書
図書
5. Complete normed algebras (: gw ; : us)
[by] F.F. Bonsall [and] J. Duncan
出版情報: Berlin ; New York : Springer-Verlag, 1973  x, 301 p. ; 24 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; Bd. 80
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6.

図書
図書
6. Introduction to Lie groups and Lie algebras (: hard)
Arthur A. Sagle, Ralph E. Walde
出版情報: New York : Academic Press, 1973  ix, 361 p. ; 23 cm
シリーズ名: Pure and applied mathematics ; v. 51
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目次情報: 続きを見る
Preface
Some Calculus / Chapter 1.：
Basic Notation / 1.：
The Derivative / 2.：
Higher Derivatives / 3.：
Taylor's Formula / 4.：
Inverse Function Theorem / 5.：
The Algebra gl(V) / 6.：
Manifolds / Chapter 2.：
Differentiable Structures
Differentiable Functions
Submanifolds
Tangents and Cotangents
Tangent Maps (Differentials)
Tangent Bundle
Vector Fields / 7.：
Integral Curves / 8.：
Topological Groups / Chapter 3.：
Basics
Subgroups and Homogeneous Spaces
Connected Groups
Lie Groups / Chapter 4.：
Basic Structures
Local Lie Groups
Lie Subgroups
The Lie Algebra of a Lie Group / Chapter 5.：
The Lie Algebra
The Exponential Map
Exponential Formulas
Homomorphisms and Analytic Structure
Lie Subgroups and Subalgebras / Chapter 6.：
Lie Subalgebra and Uniqueness of Analytic Structure
Local Isomorphisms
Closed Subgroups
Homogeneous Spaces
Commutative Lie Groups
Automorphisms and Adjoints / Chapter 7.：
Automorphisms of Algebras
Inner Derivations and Automorphisms
Adjoint Representations
Simply Connected Lie Groups / Chapter 8.：
Homotopy Review
Simply Connected Covering Groups
Some Algebra / Chapter 9.：
Tensor Products
Extension of the Base Field
Complexification
Modules and Representations
Semisimple Modules
Composition Algebras
Solvable Lie Groups and Algebras / Chapter 10.：
Solvable Lie Groups
Solvable Lie Algebras and Radicals
Lie's Theorem on Solvability
Nilpotent Lie Groups and Algebras / Chapter 11.：
Nilpotent Lie Groups
Nilpotent Lie Algebras
Nilpotent Lie Algebras of Endomorphisms
Semisimple Lie Groups and Algebras / Chapter 12.：
Invariant Bilinear Forms
Cartan's Criteria
Ideals and Derivations of Semisimple Lie Algebras
Complete Reducibility and Semisimplicity
More on Radicals, Derivations, and Tensor Products
Remarks on Real Simple Lie Algebras and Compactness
Cartan Subalgebras and Root Spaces / Chapter 13.：
Cartan Subalgebras
Root Spaces of Split Semisimple Lie Algebras
Irreducible Representations of sl(2,K)
Simple Split Lie Algebras / Chapter 14.：
Root Systems
Classification of Split Simple Lie Algebras
On Automorphisms of Simple Complex Lie Algebras
Simple Real Lie Algebras and Groups / Chapter 15.：
Real Forms of Simple Complex Lie Algebra
Representations of Real and Complex Simple Lie Algebras
Some Simple Real and Complex Lie Groups
Some Differential Geometry / Appendix.：
Connections on Manifolds
Connections on Homogeneous Spaces and Nonassociative Algebras
Multiplicative Systems and Connections
Riemannian Connections and Jordan Algebras
References
Index
Preface
Some Calculus / Chapter 1.：
Basic Notation / 1.：
7.

図書
図書
7. A source book in classical analysis
edited by Garrett Birkhoff ; with the assistance of Uta Merzbach
出版情報: Cambridge, Mass. : Harvard University Press, 1973  xii, 470 p. ; 26 cm
シリーズ名: Source books in the history of the sciences
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目次情報: 続きを見る
Foundations of Real Analysis / Part 1：
Cauchy's Partial Rigorization / A：
Cauchy on Limits and Continuity / 1a：
Cauchy on convergence / 1b：
Cauchy on the Radius of Convergence / 1c：
Cauchy on the Derivative as a Limit / 2：
Cauchy on Maclaurin's Theorem / 3：
Cauchy-Moigno on the Fundamental Theorem of the Calculus / 4：
Continuity and Integrability / B：
Bolzano on Continuity and Limits / 5：
Riemann on Fourier Series and the Riemann Integral / 6：
Heine Discusses Fourier Series / 7a：
Heine on the Foundations of Function Theory / 7b：
Stieltjes on the Stieltjes Integral / 8：
Foundations of Complex Analysis / Part 2：
Early Developments
Cauchy's Integral Theorem / 9：
Cauchy's Integral Formula / 10：
Cauchy's Calculus of Residues / 11：
Cauchy on Liouville's Theorem / 13a：
Jordan on Liouville's Theorem / 13b：
Riemann's Influence
Riemann on the Cauchy-Riemann Equations / 13：
Riemann on Riemann Surfaces / 14：
Schwarz on Conformal Mapping / 15：
Convergent Expansions / Part 3：
The Convergence of Power Series
Gauss on the Hypergeometric Series / 16：
Abel on the Binomial Series / 17：
The Influence of Weierstrass
Weierstrass on Analytic Functions of several Variables / 18：
Picard on Picard's Theorem / 19：
Weierstrass on Infinite Products / 20a：
Mittag-Leffier's Theorem / 20b：
Asymptotic Expansions / Part 4：
Analytic Number Theory
Riemann on the Riemann Zeta Function / 21：
Hadamard on the Distribution of Primes / 22：
Asymptotic Series
Stirling's Formula / 23：
Laplace on Generating Functions / 24：
Abel on the Laplace Transform / 25：
Poincare on Asymptotic Series / 26：
Lereh on Lerch's Theorem / 27：
Fourier Series and Integrals / Part 5：
Fourier Series
Fourier on Heat Flow in a Slab / 28：
Fourier on Expansions in Sine Series / 29a：
Fourier on Heat Flow in a Ring / 29b：
Dirichlet on the Convergence of Fourier Series / 30：
Wilbraham on the Gibbs Phenomenon / 31：
Fejre on the Convergence of Fourier Series / 32：
The Fourier Integral
Cauchy on the Fourier Integral / 33a-b：
Fourier on the Fourier Integral / 34：
Cauchy on Linear Partial Differential Equations with Constant Coefficients / 35：
Elliptic and Abelian Integrals / Part 6：
Legendre on Elliptic Integrals / 36：
Abel's Addition Theorem / 37：
Abel on Hyperelliptic Integrals / 38：
Riemann on Abelian Integrals / 39a：
Roch on the Riemann-Roch Theorem / 39b：
Elliptic and Automorphic Functions / Part 7：
Elliptic and Hyperelliptic Functions
Abel on Elliptic Functions / 40：
Jacobi on Elliptic Functions / 41：
Jacobi on Some Identities / 42：
Jacobi on the Jacobi Theta Functions / 43：
Weierstrass's Al Functions / 44：
Automorphic Functions
Poincare on Automorphic Functions / 45：
Klein on Fundamental Regions of Discontinuous Groups / 46：
Ordinary Differential Equations. I. / Part 8：
Existence and Uniqueness Theorems
Cauchy on the Cauchy Polygon Method / 47：
Lipschitz on the Lipschitz Condition / 48：
Picard on the Picard Method / 49：
Osgood's Existence Theorem / 50：
Sturm-Liouville Theory
Storm on Sturm's Theorems / 51：
Liouville on Sturm-Liouville Expansions. I. / 52：
Liouville on Sturm-Liouville Expansions. II. / 53：
Ordinary Differential Equations. II. / Part 9：
Regular Singular Points
Fuchs on Isolated Singular Points / 54：
Frobenius on Regular Singula / 55：
Foundations of Real Analysis / Part 1：
Cauchy's Partial Rigorization / A：
Cauchy on Limits and Continuity / 1a：
8.

図書
図書
8. Aufbau der geometrie aus dem spiegelungsbegriff. 2. erg. Aufl (gw ; us ; : pbk)
Friedrch Bachmann
出版情報: Berlin : Springer, 1973  xvi, 374 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 96
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9.

図書
図書
9. Vorlesungen über Geometrie der Algebren : Geometrien von Möbius, Laguerre-Lie, Minkowski in einheitlicher und grundlagengeometrischer Behandlung (: gw ; : us ; : pbk)
Walter Benz
出版情報: Berlin ; New York : Springer-Verlag, 1973  vii, 368 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 197
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10.

図書
図書
10. Discriminant analysis and applications
edited by T. Cacoullos
出版情報: New York : Academic Press, 1973  xviii, 434 p. ; 23 cm
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