close
1.

図書
図書
1. Linear algebra. 2nd ed
Serge Lang
出版情報: Reading ; Mass : Addison-Wesley, 1969,c1971,1972  xi, 400 p. ; 24 cm
シリーズ名: Addison-Wesley series in mathematics
所蔵情報: loading…
2.

図書
図書
2. Introduction to complex hyperbolic spaces (: U.S. ; : Germany)
Serge Lang
出版情報: New York : Springer-Verlag, c1987  viii, 271 p. ; 25 cm
所蔵情報: loading…
3.

図書
図書
3. Elliptic functions. 2nd ed (: us ; : gw)
Serge Lang
出版情報: New York ; Berlin : Springer-Verlag, c1987  xi, 326 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 112
所蔵情報: loading…
目次情報: 続きを見る
General Theory
Complex Multiplication Elliptic Curves with Singular Invariants
Elliptic Curves with Non-integral Invariants
Theta Functions and Kronecker limit Formula
Bibliography
Index
General Theory
Complex Multiplication Elliptic Curves with Singular Invariants
Elliptic Curves with Non-integral Invariants
4.

図書
図書
4. Complex analysis. 4th ed
Serge Lang
出版情報: New York : Springer, c1999  xiv, 485 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 103
所蔵情報: loading…
目次情報: 続きを見る
Basic Theory / I：
Complex Numbers and Functions / 1：
Power Series / 2：
Cauchy's Theorem, First Part / 3：
Winding Numbers and Cauchy's Theorem / 4：
Applications of Cauchy's Integral Formula / 5：
Calculus of Residues / 6：
Conformal Mappings / 7：
Harmonic Functions / 8：
Geometric Function Theory / II：
Schwarz Reflection / 9：
The Riemann Mapping Theorem / 10：
Analytic Continuation Along Curves / 11：
Various Analytic Topics / III：
Applications of the Maximum Modulus Principle and Jensen's Formula / 12：
Entire and Meromorphic Functions / 13：
Elliptic Functions / 14：
The Gamma and Zeta Functions / 15：
The Prime Number Theorem / 16：
Basic Theory / I：
Complex Numbers and Functions / 1：
Power Series / 2：
5.

図書
図書
5. Undergraduate analysis. 2nd ed
Serge Lang
出版情報: New York : Springer, c1997  xv, 642 p. ; 24 cm
シリーズ名: Undergraduate texts in mathematics
所蔵情報: loading…
目次情報: 続きを見る
Sets and Mappings / Chapter 0：
Real Numbers / Chapter 1：
Limits and Continuous Functions / Chapter 2：
Differentiation / Chapter 3：
Elementary Functions / Chapter 4：
The Elementary Real Integral / Chapter 5：
Normed Vector Spaces / Chapter 6：
Limits / Chapter 7：
Compactness / Chapter 8：
Series / Chapter 9：
The Integral in One Variable / Chapter 10：
Appendix: The Lebesgue Integral
Approximation with Convolutions / Chapter 11：
Fourier Series / Chapter 12：
Improper Integrals / Chapter 13：
The Fourier Integral / Chapter 14：
Calculus in Vector Spaces / Chapter 15：
The Winding Number and Global Potential Functions / Chapter 16：
Derivatives in Vector Spaces / Chapter 17：
Inverse Mapping Theorem / Chapter 18：
Ordinary Differential Equations / Chapter 19：
Multiple Integration / Chapter 20：
Differential Forms / Chapter 22：
Appendix
Sets and Mappings / Chapter 0：
Real Numbers / Chapter 1：
Limits and Continuous Functions / Chapter 2：
6.

図書
図書
6. Differential and Riemannian manifolds (: us ; : gw)
Serge Lang
出版情報: New York : Springer-Verlag, c1995  xiii, 364 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 160
所蔵情報: loading…
7.

図書
図書
7. Topics in cohomology of groups
Serge Lang
出版情報: Berlin ; New York : Springer, c1996  vi, 226 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1625
所蔵情報: loading…
8.

図書
図書
8. Introduction to diophantine approximations. New expanded ed
Serge Lang
出版情報: New York ; Tokyo : Springer-Verlag, c1995  x, 130 p. ; 25 cm
所蔵情報: loading…
9.

図書
図書
9. Calculus of several variables. 3rd ed (: us ; : gw)
Serge Lang
出版情報: New York ; Tokyo : Springer-Verlag, c1987  xii, 503, 91, 4 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
所蔵情報: loading…
目次情報: 続きを見る
Basic Material / I：
Vectors / 1：
Differentiation of Vectors / 2：
Functions of Several Variables / 3：
The Chain Rule and the Gradient / 4：
Maxima, Minima, and Taylor's Formula / II：
Maximum and Minimum / 5：
Higher Derivatives / 6：
Curve Integrals and Double Integrals / III：
Potential Functions / 7：
Curve Integrals / 8：
Double Integrals / 9：
Green's Theorem / 10：
Triple and Surface Integrals / IV：
Triple Integrals / 12：
Mappings, Inverse Mappings, and Change of Variables Formula / V：
Matrices / 13：
Linear Mappings / 14：
Determinants / 15：
Applications to Functions of Several Variables / 16：
The Change of Variables Formula / 17：
Appendix: Fourier Series
Basic Material / I：
Vectors / 1：
Differentiation of Vectors / 2：
10.

図書
図書
10. Undergraduate algebra (: us ; : gw)
Serge Lang
出版情報: New York ; Tokyo : Springer-Verlag, c1987  ix, 256 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
所蔵情報: loading…
目次情報: 続きを見る
Foreword
The Integers
Groups
Rings
Polynomials
Vector Spaces and Modules
Some Linear Groups
Field Theory
Finite Fields
The Real and Complex Numbers
Sets
Appendix
Index
Foreword
The Integers
Groups
11.

図書
図書
11. Algebra
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, c1965  xvii, 508 p. ; 21 cm
シリーズ名: Addison-Wesley world student series
所蔵情報: loading…
12.

図書
図書
12. Complex analysis
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., c1977  xi, 321 p. ; 24 cm
シリーズ名: Addison-Wesley series in mathematics
所蔵情報: loading…
13.

図書
図書
13. Introduction to modular forms (: gw ; : us)
Serge Lang
出版情報: Berlin ; New York : Springer-Verlag, 1976  ix, 261 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 222
所蔵情報: loading…
14.

図書
図書
14. Analysis (1 ; 2)
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., c1968-1969  2 v. ; 24 cm
シリーズ名: Addison-Wesley series in mathematics
所蔵情報: loading…
15.

図書
図書
15. Real analysis
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley, c1969  xi, 476 p. ; 24 cm
シリーズ名: Addison-Wesley series in mathematics
所蔵情報: loading…
16.

図書
図書
16. Diophantine geometry
Serge Lang
出版情報: New York : Interscience Publishers, c1962  x, 170 p. ; 24 cm
シリーズ名: Interscience tracts in pure and applied mathematics ; no. 11
所蔵情報: loading…
17.

図書
図書
17. Calculus of several variables
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, c1973  viii, 376 p. ; 25 cm
シリーズ名: Addison-Wesley series in mathematics
所蔵情報: loading…
18.

図書
図書
18. SL[2](R)
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., c1975  xvi, 428 p. ; 25 cm
所蔵情報: loading…
19.

図書
図書
19. Cyclotomic fields ([1] : us - 2 : gw)
Serge Lang
出版情報: New York ; Berlin : Springer-Verlag, c1978-1980  2 v. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 59,69
所蔵情報: loading…
20.

図書
図書
20. Elliptic curves : diophantine analysis (: gw ; : us)
Serge Lang
出版情報: Berlin ; New York : Springer-Verlag, 1978  xi, 261 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 231
所蔵情報: loading…
21.

図書
図書
21. Algebra. Rev. 3rd ed
Serge Lang
出版情報: New York : Springer, c2002  xv, 914 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 211
所蔵情報: loading…
目次情報: 続きを見る
The Basic Objects of Algebra / Part 1：
Groups / Chapter I：
Monoids / 1.：
Normal subgroups / 2.：
Cyclic groups / 4.：
Operations of a group on a set / 5.：
Sylow subgroups / 6.：
Direct sums and free abelian groups / 7.：
Finitely generated abelian groups / 8.：
The dual group / 9.：
Inverse limit and completion / 10.：
Categories and functors / 11.：
Free groups / 12.：
Rings / Chapter II：
Rings and homomorphisms
Commutative rings
Polynomials and group rings
Localization
Principal and factorial rings
Modules / Chapter III：
Basic definitions
The group of homomorphisms
Direct products and sums of modules
Free modules
Vector spaces
The dual space and dual module
Modules over principal rings
Euler-Poincare maps
The snake lemma
Direct and inverse limits
Polynomials / Chapter IV：
Basic properties for polynomials in one variable
Polynomials over a factorial ring
Criteria for irreducibility
Hilbert's theorem
Partial fractions
Symmetric polynomials
Mason-Stothers theorem and the abc conjecture
The resultant
Power series
Algebraic Equations / Part 2：
Algebraic Extensions / Chapter V：
Finite and algebraic extensions
Algebraic closure
Splitting fields and normal extensions
Separable extensions
Finite fields
Inseparable extensions
Galois Theory / Chapter VI：
Galois extensions
Examples and applications
Roots of unity
Linear independence of characters
The norm and trace
Cyclic extensions
Solvable and radical extensions
Abelian Kummer theory
The equation X[superscript n] - a = 0
Galois cohomology
Non-abelian Kummer extensions
Algebraic independence of homomorphisms
The normal basis theorem / 13.：
Infinite Galois extensions / 14.：
The modular connection / 15.：
Extensions of Rings / Chapter VII：
Integral ring extensions
Integral Galois extensions
Extension of homomorphisms
Transcendental Extensions / Chapter VIII：
Transcendence bases
Noether normalization theorem
Linearly disjoint extensions
Separable and regular extensions
Derivations
Algebraic Spaces / Chapter IX：
Hilbert's Nullstellensatz
Algebraic sets, spaces and varieties
Projections and elimination
Resultant systems
Spec of a ring
Noetherian Rings and Modules / Chapter X：
Basic criteria
Associated primes
Primary decomposition
Nakayama's lemma
Filtered and graded modules
The Hilbert polynomial
Indecomposable modules
Real Fields / Chapter XI：
Ordered fields
Real fields
Real zeros and homomorphisms
Absolute Values / Chapter XII：
Definitions, dependence, and independence
Completions
Finite extensions
Valuations
Completions and valuations
Discrete valuations
Zeros of polynomials in complete fields
Linear Algebra and Representations / Part 3：
Matrices and Linear Maps / Chapter XIII：
Matrices
The rank of a matrix
Matrices and linear maps
Determinants
Duality
Matrices and bilinear forms
Sesquilinear duality
The simplicity of SL[subscript 2](F)/[plus or minus]1
The group SL[subscript n](F), n [greater than or equal] 3
Representation of One Endomorphism / Chapter XIV：
Representations
Decomposition over one endomorphism
The characteristic polynomial
Structure of Bilinear Forms / Chapter XV：
Preliminaries, orthogonal sums
Quadratic maps
Symmetric forms, orthogonal bases
Symmetric forms over ordered fields
Hermitian forms
The spectral theorem (hermitian case)
The spectral theorem (symmetric case)
Alternating forms
The Pfaffian
Witt's theorem
The Witt group
The Tensor Product / Chapter XVI：
Tensor product
Basic properties
Flat modules
Extension of the base
Some functorial isomorphisms
Tensor product of algebras
The tensor algebra of a module
Symmetric products
Semisimplicity / Chapter XVII：
Matrices and linear maps over non-commutative rings
Conditions defining semisimplicity
The density theorem
Semisimple rings
Simple rings
The Jacobson radical, base change, and tensor products
Balanced modules
Representations of Finite Groups / Chapter XVIII：
Representations and semisimplicity
Characters
1-dimensional representations
The space of class functions
Orthogonality relations
Induced characters
Induced representations
Positive decomposition of the regular character
Supersolvable groups
Brauer's theorem
Field of definition of a representation
Example: GL[subscript 2] over a finite field
The Alternating Product / Chapter XIX：
Definition and basic properties
Fitting ideals
Universal derivations and the de Rham complex
The Clifford algebra
Homological Algebra / Part 4：
General Homology Theory / Chapter XX：
Complexes
Homology sequence
Euler characteristic and the Grothendieck group
Injective modules
Homotopies of morphisms of complexes
Derived functors
Delta-functors
Bifunctors
Spectral sequences
Finite Free Resolutions / Chapter XXI：
Special complexes
Finite free resolutions
Unimodular polynomial vectors
The Koszul complex
The Transcendence of e and [Pi] / Appendix 1：
Some Set Theory / Appendix 2：
Bibliography
Index
The Basic Objects of Algebra / Part 1：
Groups / Chapter I：
Monoids / 1.：
22.

図書
図書
22. Abelian varieties
Serge Lang
出版情報: New York : Interscience Publishers, 1959  xii, 256 p. ; 24 cm
シリーズ名: Interscience tracts in pure and applied mathematics ; no .7
所蔵情報: loading…
23.

図書
図書
23. Rapport sur la cohomologie des groupes
Serge Lang
出版情報: New York ; Amsterdam : W.A. Benjamin, 1966  viii, 260 p. ; 24 cm
シリーズ名: Mathematics lecture note series
所蔵情報: loading…
24.

図書
図書
24. Riemann-Roch algebra (: us ; : gw)
William Fulton, Serge Lang
出版情報: New York : Springer-Verlag, c1985  x, 203 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 277
所蔵情報: loading…
25.

図書
図書
25. Introduction to algebraic and abelian functions
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., c1972  x, 112 p. ; 25 cm
所蔵情報: loading…
26.

図書
図書
26. The collected papers of Emil Artin
edited by Serge Lang, John T. Tate
出版情報: Reading, Mass. : Addison-Wesley, 1965  xvi, 560 p. ; 23 cm
所蔵情報: loading…
27.

図書
図書
27. Introduction to differentiable manifolds
Serge Lang
出版情報: New York : Interscience Publishers, c1962  x, 126 p. ; 24 cm
所蔵情報: loading…
28.

図書
図書
28. Differential manifolds
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, 1972  ix, 230 p. ; 24 cm
シリーズ名: Addison-Wesley series in mathematics ; 4166
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