close
1.

図書
図書
1. 複素函数論
H.カルタン著 ; 高橋禮司訳
出版情報: 東京 : 岩波書店, 1965.1  vi, 239p ; 22cm
所蔵情報: loading…
2.

図書
図書
2. Calcul Différentiel
Henri Cartan
出版情報: Paris : Hermann, c1967  178 p. ; 22 cm
シリーズ名: Cours de mathématiques ; 2
所蔵情報: loading…
目次情報:
Pt. 1: Calcul différentiel dans les espaces de Banach
Pt. 2: Équations difféerentielles
Pt. 1: Calcul différentiel dans les espaces de Banach
Pt. 2: Équations difféerentielles
3.

図書
図書
3. Elementary theory of analytic functions of one or several complex variables
Henri Cartan
出版情報: Paris : Hermann , Reading, Mass. : Addison-Wesley, 1963  227 p. ; 24 cm
シリーズ名: Collection Enseignement des sciences
Adiwes international series in mathematics
所蔵情報: loading…
4.

図書
図書
4. Formes différentielles : applications élémentaires au calcul des variations et a la théorie des courbes et des surfaces
Henri Cartan
出版情報: Paris : Hermann, c1967  185, [1] p. ; 22 cm
シリーズ名: Cours de mathématiques ; 2
Collection méthodes
所蔵情報: loading…
5.

図書
図書
5. Differential forms
[by] Henri Cartan
出版情報: Paris : Hermann , Boston : H. Mifflin Co, [1970] , London : Kreshaw, 1970  166 p. ; 23 cm
所蔵情報: loading…
6.

図書
図書
6. Œuvres = Collected works (: set: us - v. 3)
Henri Cartan ; edited by R. Remmert and J.-P. Serre
出版情報: Berlin ; New York : Springer-Verlag, 1979  3 v. (xxix, 1469 p., [3] leaves of plates) ; 25 cm
所蔵情報: loading…
7.

図書
図書
7. Differential calculus
Henri Cartan ; [translated from the French]
出版情報: Paris : Hermann, c1971  [1],160 p. ; 23 cm
所蔵情報: loading…
8.

図書
図書
8. Collected papers (: gw ; : us)
Kiyoshi Oka ; translated from the French by R. Narasimhan ; with commentaries by H. Cartan ; edited by R. Remmert
出版情報: Berlin ; Tokyo : Springer-Verlag, 1984  xiv, 223 p. ; 25 cm
所蔵情報: loading…
9.

図書
図書
9. Seminaire Henri Cartan (1948-1951 - 1961-1964)
Cartan, Henri Paul, 1904- ; École normale supérieure (France)
出版情報: New York : Benjamin, 1967  6 v. ; 29 cm
所蔵情報: loading…
10.

図書
図書
10. Homological algebra
by Henri Cartan and Samuel Eilenberg
出版情報: Princeton : Princeton University Press, 1956  xv, 390 p. ; 24 cm
シリーズ名: Princeton mathematical series ; 19
所蔵情報: loading…
目次情報: 続きを見る
Preface
Rings and Modules / Chapter I：
Preliminaries / 1：
Projective modules / 2：
Injective modules / 3：
Semi-simple rings / 4：
Hereditary rings / 5：
Semi-hereditary rings / 6：
Noetherian rings / 7：
Exercises
Additive Functors / Chapter II：
Definitions
Examples
Operators
Preservation of exactness
Composite functors
Change of rings
Satellites / Chapter III：
Definition of satellites
Connecting homomorphisms
Half exact functors
Connected sequence of functors
Axiomatic description of satellites
Several variables
Homology / Chapter IV：
Modules with differentiation
The ring of dual numbers
Graded modules, complexes
Double gradings and complexes
Functors of complexes
The homomorphism x
The homomorphism x (continuation)
Kunneth relations / 8：
Derived Functors / Chapter V：
Complexes over modules; resolutions
Resolutions of sequences
Definition of derived functors
The functors ROT and LOT
Comparison with satellites
Computational devices
Partial derived functors
Sums, products, limits / 9：
The sequence of a map / 10：
Derived Functors of 0 and Hom / Chapter VI：
The functors Tor and Ext
Dimension of modules and rings
Duality homomorphisms
Integral Domains / Chapter VII：
Generalities
The field of quotients
Inversible ideals
Prufer rings
Dedekind rings
Abelian groups
A description of Tor1, (A,C)
Augmented Rings / Chapter VIII：
Homology and cohomology of an augmented ring
Dimension
Faithful systems
Applications to graded and local rings
Associative Algebras / Chapter IX：
Algebras and their tensor products
Associativity formulae
The enveloping algebra Ae
Homology and cohomology of algebras
The Hochschild groups as functors of A
Standard complexes
Supplemented Algebras / Chapter X：
Homology of supplemented algebras
Comparison with Hochschild groups
Augmented monoids
Groups
Examples of resolutions
The inverse process
Subalgebras and subgroups
Weakly injective and projective modules
Products / Chapter XI：
External products
Formal properties of the products
Isomorphisms
Internal products
Computation of products
Products in the Hochschild theory
Products for supplemented algebras
Reduction theorems 225 Exercises
Finite Groups / Chapter XII：
Norms
The complete derived sequence
Complete resolutions
Products for finite groups
The uniqueness theorem
Duality
Relations with subgroups
Double cosets
p-groups and Sylow groups
Periodicity 260 Exercises / 11：
Lie Algebras / Chapter XIII：
Lie algebras and their enveloping algebras
Homology and cohomology of Lie algebras
The Poincare-Witt theorem
Subalgebras and ideals
The diagonal map and its applications
A relation in the standard complex
The complex V(g)
Applications of the complex V(g)
Extensions / Chapter XIV：
Extensions of modules
Extensions of
Preface
Rings and Modules / Chapter I：
Preliminaries / 1：
11.

図書
図書
11. Théorie élémentaire des fonctions analytiques d'une ou plusieurs variables complexes
Henri Paul Cartan ; avec le concours de Reiji Takahashi
出版情報: Paris : Hermann, c1961  231 p. ; 23 cm
シリーズ名: Collection Enseignement des sciences ; 1
所蔵情報: loading…
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼