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Serge Lang has written 69 work(s)
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cover image for 9781493918331
Product Description: In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement: "To Goro Shimura for his important and extensive work on arithmetical geometry and automorphic forms; concepts introduced by him were often seminal, and fertile ground for new developments, as witnessed by the many notations in number theory that carry his name and that have long been familiar to workers in the field...read more

Paperback:

9781493918331 | Springer Verlag, October 20, 2014, cover price $79.99 | About this edition: In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement: "To Goro Shimura for his important and extensive work on arithmetical geometry and automorphic forms; concepts introduced by him were often seminal, and fertile ground for new developments, as witnessed by the many notations in number theory that carry his name and that have long been familiar to workers in the field.

cover image for 9781461269229
Product Description: This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms...read more

Paperback:

9781461269229 | 2 reprint edition (Springer Verlag, April 10, 2013), cover price $69.95 | About this edition: This is a second edition of Lang's well-known textbook.

cover image for 9781461265511
Product Description: This book is intended as a basic text for a one year course in algebra at the graduate level or as a useful reference for mathematicians and professionals who use higher-level algebra. This book successfully addresses all of the basic concepts of algebra...read more

Hardcover:

9780387953854 | 3 rev sub edition (Springer Verlag, January 1, 2002), cover price $79.95 | About this edition: This book is intended as a basic text for a one year course in algebra at the graduate level or as a useful reference for mathematicians and professionals who use higher-level algebra.
9780201555400 | 3rd edition (Addison-Wesley, January 1, 1992), cover price $113.00 | also contains Alta tension / Live Wire | About this edition: This basic text for a one-year course in algebra at the graduate level thoroughly prepares students to handle the algebra they will use in all of mathematics.

Paperback:

9781461265511 | 3 edition (Springer Verlag, November 10, 2012), cover price $79.95 | About this edition: This book is intended as a basic text for a one year course in algebra at the graduate level or as a useful reference for mathematicians and professionals who use higher-level algebra.

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Product Description: This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations...read more

Hardcover:

9780387940014 | 3 sub edition (Springer Verlag, August 1, 1993), cover price $74.95 | About this edition: This book is meant as a text for a first-year graduate course in analysis.

Paperback:

9781461269380 | 3 edition (Springer Verlag, October 23, 2012), cover price $74.95 | About this edition: This book is meant as a text for a first-year graduate course in analysis.

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Product Description: This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences...read more

Hardcover:

9780387964058 | 3 edition (Springer Verlag, January 1, 1995), cover price $79.95 | About this edition: This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences.
9789990091359 | 3 edition (Springer Verlag, January 1, 1995), cover price $0.02

Paperback:

9781461270010 | 3 reprint edition (Springer Verlag, October 17, 2012), cover price $79.95 | About this edition: This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences.

cover image for 9781461461364
Product Description: Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer. He has made innumerable and invaluable contributions in diverse fields of mathematics and was honoured with the Cole Prize by the American Mathematical Society as well as with the Prix Carriere by the French Academy of Sciences...read more

Paperback:

9781461461364 | Springer Verlag, June 11, 2013, cover price $79.99 | About this edition: Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer.

cover image for 9781461461388
Product Description: Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer. He has made innumerable and invaluable contributions in diverse fields of mathematics and was honoured with the Cole Prize by the American Mathematical Society as well as with the Prix Carriere by the French Academy of Sciences...read more

Paperback:

9781461461388 | Bilingual edition (Springer Verlag, June 11, 2013), cover price $79.99 | About this edition: Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer.

cover image for 9781461461395
Product Description: Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer. He has made innumerable and invaluable contributions in diverse fields of mathematics and was honoured with the Cole Prize by the American Mathematical Society as well as with the Prix Carriere by the French Academy of Sciences...read more

Paperback:

9781461461395, titled "Collected Papers III: 1978–1990" | Reprint edition (Springer Verlag, February 7, 2013), cover price $79.95 | About this edition: Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer.

cover image for 9781461268109
Product Description: This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. This new edition includes new chapters, sections, examples, and exercises...read more

Hardcover:

9780387985930 | Springer Verlag, January 1, 1999, cover price $89.99 | About this edition: This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas.

Paperback:

9781461268109 | Reprint edition (Springer Verlag, October 5, 2012), cover price $74.95 | About this edition: This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas.

cover image for 9781461264286
Product Description: This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered...read more

Hardcover:

9780387962016 | 5 sub edition (Springer Verlag, February 1, 1986), cover price $74.95 | About this edition: This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence.

Paperback:

9781461264286 | 5 reprint edition (Springer Verlag, September 13, 2012), cover price $79.99 | About this edition: This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence.

cover image for 9781461269915
Product Description: Arakelov introduced a component at infinity in arithmetic considerations, thus giving rise to global theorems similar to those of the theory of surfaces, but in an arithmetic context over the ring of integers of a number field. The book gives an introduction to this theory, including the analogues of the Hodge Index Theorem, the Arakelov adjunction formula, and the Faltings Riemann-Roch theorem...read more

Hardcover:

9780387967936 | Springer Verlag, March 1, 1989, cover price $139.00 | About this edition: Arakelov introduced a component at infinity in arithmetic considerations, thus giving rise to global theorems similar to those of the theory of surfaces, but in an arithmetic context over the ring of integers of a number field.

Paperback:

9781461269915 | Reprint edition (Springer Verlag, September 30, 2012), cover price $139.00 | About this edition: Arakelov introduced a component at infinity in arithmetic considerations, thus giving rise to global theorems similar to those of the theory of surfaces, but in an arithmetic context over the ring of integers of a number field.

cover image for 9781461271574
Product Description: For many years, Serge Lang has given talks on selected items in mathematics which could be extracted at a level understandable by those who have had calculus. Written in a conversational tone, Lang now presents a collection of those talks as a book coveri

Paperback:

9781461271574 | Reprint edition (Springer Verlag, September 27, 2012), cover price $79.99 | About this edition: For many years, Serge Lang has given talks on selected items in mathematics which could be extracted at a level understandable by those who have had calculus.
9780387987491 | Springer Verlag, July 1, 1999, cover price $89.99 | About this edition: For many years, Serge Lang has given talks on selected items in mathematics which could be extracted at a level understandable by those who have had calculus.

cover image for 9781461269724
Product Description: Combining the works previously published as Cyclotomic Fields, V. I & II, this book introduces these number fields, which are of great interest in classical number theory and other areas such as K-theory. Covers p-adic L-functions, Iwasawa theory, and more.

Hardcover:

9780387966717 | 2 edition (Springer Verlag, January 1, 1990), cover price $99.00 | About this edition: Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others.

Paperback:

9781461269724 | 2 edition (Springer Verlag, September 30, 2012), cover price $99.00 | About this edition: Combining the works previously published as Cyclotomic Fields, V.

cover image for 9781461270027
Product Description: This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book...read more

Hardcover:

9780387962054 | 2 sub edition (Springer Verlag, January 1, 1986), cover price $74.95 | About this edition: This is a short text in linear algebra, intended for a one-term course.

Paperback:

9781461270027 | 2 reprint edition (Springer Verlag, December 15, 2012), cover price $74.95 | About this edition: This is a short text in linear algebra, intended for a one-term course.
9780201042061 | Springer Verlag, June 1, 1970, cover price $12.95 | About this edition: .

cover image for 9781461461371
Product Description: Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer. He has made innumerable and invaluable contributions in diverse fields of mathematics and was honoured with the Cole Prize by the American Mathematical Society as well as with the Prix Carriere by the French Academy of Sciences...read more

Paperback:

9781461461371 | Reprint edition (Springer Verlag, August 29, 2013), cover price $79.99 | About this edition: Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer.

cover image for 9781461287001
Product Description: The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere...read more

Hardcover:

9780387944562 | 2 expanded edition (Springer Verlag, June 1, 1995), cover price $139.00 | About this edition: The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere.

Paperback:

9781461287001 | 2 new exp edition (Springer Verlag, August 22, 2012), cover price $99.00 | About this edition: The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere.

cover image for 9781461286882
Product Description: This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great expansion of the subject. At the time, I found no satisfactory book for the foundations of the subject, for multiple reasons...read more

Hardcover:

9780387943381 | 3 sub edition (Springer Verlag, March 1, 1995), cover price $79.95 | About this edition: This is the third version of a book on differential manifolds.

Paperback:

9781461286882 | 3 edition (Springer Verlag, February 4, 2012), cover price $79.95 | About this edition: This is the third version of a book on differential manifolds.

cover image for 9781461257424
Product Description: Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory. For this revised edition, the material on theta functions has been expanded, and the example of the Fermat curves is carried throughout the text...read more

Paperback:

9781461257424 | 2 edition (Springer Verlag, October 17, 2011), cover price $94.95 | About this edition: Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory.

cover image for 9781461291428
Product Description: Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. The book is divided into four parts...read more

Hardcover:

9780387965086 | 2 sub edition (Springer Verlag, May 1, 1987), cover price $98.00 | About this edition: Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century.

Paperback:

9781461291428 | 2 edition (Springer Verlag, September 23, 2011), cover price $98.00 | About this edition: Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century.

cover image for 9780821840443
Product Description: A memoir that defines and studies multi-variable Eisenstein series attached to heat kernels.

Paperback:

9780821840443 | Amer Mathematical Society, September 11, 2009, cover price $71.00 | About this edition: A memoir that defines and studies multi-variable Eisenstein series attached to heat kernels.

cover image for 9780387380315
Product Description: The worthy purpose of this text is to provide a complete, self-contained development of the trace formula and theta inversion formula for SL(2,Z[i])\SL(2,C). Unlike other treatments of the theory, the approach taken here is to begin with the heat kernel on SL(2,C) associated to the invariant Laplacian, which is derived using spherical inversion...read more

Hardcover:

9780387380315 | Springer Verlag, December 30, 2008, cover price $189.00 | About this edition: The worthy purpose of this text is to provide a complete, self-contained development of the trace formula and theta inversion formula for SL(2,Z[i])\SL(2,C).

Paperback:

9781441922823 | Springer Verlag, October 15, 2008, cover price $189.00 | About this edition: The purpose of this text is to provide a self-contained development of the trace formula and theta inversion formula for SL(2,Z[i])\SL(2,C).

cover image for 9783540257875
Product Description: Posn(R) and Eisenstein Series provides an introduction, requiring minimal prerequisites, to the analysis on symmetric spaces of positive definite real matrices as well as quotients of this space by the unimodular group of integral matrices...read more

Paperback:

9783540257875 | Springer Verlag, September 12, 2005, cover price $49.95 | About this edition: Posn(R) and Eisenstein Series provides an introduction, requiring minimal prerequisites, to the analysis on symmetric spaces of positive definite real matrices as well as quotients of this space by the unimodular group of integral matrices.

cover image for 9780387964126
Product Description: This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form...read more

Hardcover:

9780387964126 | 3 sub edition (Springer Verlag, June 30, 2004), cover price $64.95 | About this edition: This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form.

Paperback:

9781441930811 | 3 edition (Springer Verlag, June 30, 2004), cover price $64.95 | About this edition: This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form.

cover image for 9780387954776
Product Description: Author is well-known and established book author (all Serge Lang books are now published by Springer); Presents a brief introduction to the subject; All manifolds are assumed finite dimensional in order not to frighten some readers; Complete proofs are given; Use of manifolds cuts across disciplines and includes physics, engineering and economic...read more

Hardcover:

9780387954776 | 2 sub edition (Springer Verlag, November 1, 2002), cover price $74.95 | About this edition: Author is well-known and established book author (all Serge Lang books are now published by Springer); Presents a brief introduction to the subject; All manifolds are assumed finite dimensional in order not to frighten some readers; Complete proofs are given; Use of manifolds cuts across disciplines and includes physics, engineering and economics

Paperback:

9781441930194 | Springer Verlag, November 1, 2002, cover price $74.95 | About this edition: Author is well-known and established book author (all Serge Lang books are now published by Springer); Presents a brief introduction to the subject; All manifolds are assumed finite dimensional in order not to frighten some readers; Complete proofs are given; Use of manifolds cuts across disciplines and includes physics, engineering and economics

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