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1. Abelian varieties [1959]
 Lang, Serge, 19272005.
 New York : Interscience Publishers, [1959]
 Description
 Book — xii, 256 p. : ill. ; 24 cm.
 Online
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QA171 .L28  Unknown 
2. Introduction to differentiable manifolds [1962]
 Lang, Serge, 19272005.
 New York : Interscience Publishers, [1962]
 Description
 Book — 126 p. : ill. ; 24 cm.
 Online
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QA649 .L3  Unknown 
 Lang, Serge, 19272005.
 2d ed.  Reading, Mass., AddisonWesley, [c1971]
 Description
 Book — xi, 400 p. : ill. ; 24 cm.
 Online
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QA251 .L26 1971  Unknown 
4. Introduction to modular forms [1976]
 Lang, Serge, 19272005.
 Berlin ; New York : SpringerVerlag, 1976.
 Description
 Book — 261 p. ; 26 cm.
 Online
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QA243 .L257  Unknown 
5. Elliptic curves : diophantine analysis [1978]
 Lang, Serge, 19272005.
 Berlin ; New York : SpringerVerlag, 1978.
 Description
 Book — xi, 261 p. : ill. ; 25 cm.
Science Library (Li and Ma)
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QA242 .L234  Unknown 
6. Complex multiplication [1983]
 Lang, Serge, 19272005.
 New York : SpringerVerlag, c1983.
 Description
 Book — viii, 184 p. ; 25 cm.
 Online
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QA564 .L28 1983  Unknown 
7. Fundamentals of diophantine geometry [1983]
 Lang, Serge, 19272005.
 New York : SpringerVerlag, 1983.
 Description
 Book — xviii, 370 p. ; 24 cm.
Science Library (Li and Ma)
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QA242 .L235 1983  Unknown 
8. Real analysis [1983]
 Lang, Serge, 19272005.
 2nd ed.  Reading, Mass. : AddisonWesley, Advanced Book Program/World Science Division, c1983.
 Description
 Book — xiv, 533 p. : ill. ; 24 cm.
 Online
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QA300 .L274 1983  Unknown 
9. Algebra [1984]
 Lang, Serge, 19272005.
 2nd ed.  Menlo Park, Calif. : AddisonWesley Pub. Co., Advanced Book Program, 1984.
 Description
 Book — xv, 714 p. : ill. ; 24 cm.
 Online
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QA154.3 .L3 1984  Unknown 
10. RiemannRoch algebra [1985]
 Fulton, William, 1939
 New York : SpringerVerlag, c1985.
 Description
 Book — x, 203 p. : ill. ; 25 cm.
 Online
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QA564 .F85 1985  Unknown 
11. SL₂(R) [1975]
 Lang, Serge, 19272005.
 New York : SpringerVerlag, c1985.
 Description
 Book — xiv, 428 p. : ill. ; 25 cm.
 Online
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QA387 .L35 1985  Unknown 
12. Algebraic number theory [1986]
 Lang, Serge, 19272005.
 New York : SpringerVerlag, ©1986.
 Description
 Book — xiii, 354 pages : illustrations ; 25 cm.
 Summary

 Algebraic integers
 Completions
 Different discriminant
 Cyclotomic fields
 Paralelotopes
 Ideal function
 Ideles and adeles
 Elementary properties of the zeta function and lseries
 Norm index computations
 Artin symbol, reciprocity law, and class field theory
 Existence theorem and local class field theory
 lseries again
 Functional equation of the zeta function, hecke's proof
 Functional equation, tate's thesis
 Density of primes and tauberian theorom
 Brauersiegel theorem
 Explicit formulas
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QA247 .L32 1986  Unknown 
13. Calculus of several variables [1987]
 Lang, Serge, 19272005.
 3rd ed.  New York : SpringerVerlag, c1987.
 Description
 Book — xii, 503, A1106 p. : ill. ; 24 cm.
 Summary

 I: Basic Material.
 1: Vectors.
 2: Differentiation of Vectors.
 3: Functions of Several Variables.
 4: The Chain Rule and the Gradient. II: Maxima, Minima, and Taylor's Formula.
 5: Maximum and Minimum.
 6: Higher Derivatives. III: Curve Integrals and Double Integrals.
 7: Potential Functions.
 8: Curve Integrals.
 9: Double Integrals.
 10: Green's Theorem. IV: Triple and Surface Integrals.
 12: Triple Integrals. V: Mappings, Inverse Mappings, and Change of Variables Formula.
 13: Matrices.
 14: Linear Mappings.
 15: Determinants.
 16: Applications to Functions of Several Variables.
 17: The Change of Variables Formula. Appendix: Fourier Series.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
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QA303 .L256 1987  Unknown 
14. Elliptic functions [1987]
 Lang, Serge, 19272005.
 2nd ed.  New York : SpringerVerlag, c1987.
 Description
 Book — xi, 326 p. : ill. ; 25 cm.
 Summary

 Contents: General Theory. Complex Multiplication Elliptic Curves with Singular Invariants. Elliptic Curves with Nonintegral Invariants. Theta Functions and Kronecker limit Formula. Bibliography. Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
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QA343 .L35 1987  Unknown 
15. Introduction to complex hyperbolic spaces [1987]
 Lang, Serge, 19272005.
 New York : SpringerVerlag, c1987.
 Description
 Book — viii, 271 p. : ill. ; 24 cm.
 Online
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QA331 .L2553 1987  Unknown 
16. Linear algebra [1987]
 Lang, Serge, 19272005.
 3rd ed.  New York : SpringerVerlag, c1987.
 Description
 Book — ix, 285 p. : ill. ; 25 cm.
 Summary

 Linear Algebra is intended for a oneterm course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. The book also includes a useful chapter on convex sets and the finitedimensional KreinMilman theorem. The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants, and linear maps. However, the book is logically selfcontained. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
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QA251 .L26 1987  Unknown 
17. Introduction to Arakelov theory [1988]
 Lang, Serge, 19272005.
 New York : SpringerVerlag, c1988.
 Description
 Book — x, 187 p. : ill. ; 25 cm.
 Summary

 Contents: Foreword. Metrics and Chern Forms. Green's Functions on Riemann Surfaces. Intersections on an Arithmetic Surface. Hodge Index Theorem and the Adjunction Formula. The Faltings RiemannRoch Theorem. Faltings Volumes on Cohomology. Diophantine Inequalities and Arakelov Theory. References. Freqently Used Symbols. Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
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QA242.5 .L36 1988  Unknown 
18. Cyclotomic fields I and II [1989]
 Lang, Serge, 19272005.
 Combined 2d ed.  New York : SpringerVerlag, 1990.
 Description
 Book — xvii, 433 p. ; 25 cm.
 Summary

 Contents: Character Sums. Stickelberger Ideals and Bernoulli Distributions. Complex Analytic Class Number Formulas. The padic Lfunction. Iwasawa Theory and Ideal Class Groups. Kummer Theory over Cyclotomic Zpextensions. Iwasawa Theory of Local Units. LubinTate Theory. Explicit Reciprocity Laws. Measures and Iwasawa Power Series. The FerreroWashington Theorems. Measures in the Composite Case. Divisibility of Ideal Class Numbers. padic Preliminaries. The Gamma Function and Gauss Sums. Gauss Sums and the ArtinSchreier Curve. Gauss Sums as Distributions. Appendix: The Main Conjecture. Bibliography. Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
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QA247 .L33 1990  Unknown 
19. Undergraduate algebra [1990]
 Lang, Serge, 19272005.
 2nd ed.  New York : SpringerVerlag, c1990.
 Description
 Book — xi, 367 p. : ill. ; 25 cm.
 Summary

 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.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level. Throughout the book, the author strikes a balance between abstraction and concrete results, which enhance each other. Illustrative examples accompany the general theory. Numerous exercises range from the computational to the theoretical, complementing results from the main text.For the third edition, the author has included new material on product structure for matrices (e.g. the Iwasawa and polar decompositions), as well as a description of the conjugation representation of the diagonal group. He has also added material on polynomials, culminating in Noah Snyder's proof of the MasonStothers polynomial abc theorem.About the First Edition:"The exposition is downtoearth and at the same time very smooth. The book can be covered easily in a oneyear course and can be also used in a oneterm course...the flavor of modern mathematics is sprinkled here and there. "Hideyuki Matsumura, Zentralblatt.
(source: Nielsen Book Data)
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QA152.2 .L36 1990  Unknown 
20. Number theory III : diophantine geometry [1991]
 Berlin ; New York : SpringerVerlag, c1991.
 Description
 Book — xi, 296 p. ; 24 cm.
 Summary

Diophantine problems concern the solutions of equations in integers, rational numbers, or various generalizations. The book is an encyclopedic survey of diophantine geometry. For the most part no proofs are given, but references are given where proofs may be found. There are some exceptions, notably the proof for a large part of Faltings' theorems is given. The survey puts together, from a unified point of view, the field of diophantine geometry which has developed since the early 1950's, after its origins in Mordell, Weil and Siegel's papers in the 1920's. The basic approach is that of algebraic geometry, but examples are given which show how this approach deals with (and sometimes solves!) classical problems phrased in very elementary terms. For instance, the Fermat problem is not solved, but it is shown to fit in to two great structural approaches, so that it is not an isolated problem any more.
(source: Nielsen Book Data)
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QA242 .N85 1991  Unknown 