Collected Papers I (Springer Collected Works in Mathematics) de Serge Lang

Collected Papers I: 1952-1970: Springer Collected Works in Mathematics

Serge Lang

en Limba Engleză Paperback – 29 mai 2013

Serge Lang is one of the top mathematicians of our time. Being an excellent writer, Lang has made innumerable contributions in diverse fields in mathematics and they are invaluable. He was honored with the Cole Prize by the American Mathematical Society as well as with the Prix Carriere by the French Academy of Sciences. In these four volumes 83 of his research papers are collected. They range over a variety of topics and will be of interest to many readers.

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Specificații

ISBN-13: 9781461461364
ISBN-10: 1461461367
Pagini: 552
Ilustrații: XXV, 525 p. 42 illus., 1 illus. in color.
Dimensiuni: 155 x 235 x 29 mm
Greutate: 0.76 kg
Ediția:2000. Reprint 2013 of the 2000 edition
Editura: Springer
Colecția Springer
Seria Springer Collected Works in Mathematics

Locul publicării:New York, NY, United States

Cuprins

[1952a] On Quasi Algebraic Closure.- [1952b] Hilbert’s Nullstellensatz in Infinite Dimensional Space.- [1952c] On Chevalley’s Proof of Luroth’s Theorem (with J. Tate).- [1953] The Theory of Real Places.- [1954a] Some Applications of the Local Uniformization Theorem.- [1954b] Number of Points of Varieties in Finite Fields (with A. Weil).- [1955] Abelian Varieties over Finite Fields.- [1956a] Unramified Class Field Theory over Function Fields in Several Variables.- [1956b] On the Lefschetz Principle.- [1956c] L-Series of a Covering.- [1956d] Sur les Séries L d’une Variété algébrique.- [1956e] Algebraic Groups over Finite Fields.- [1957a] Sur les Revêtements non-ramifiés des Variétés algébriques (with J.-P. Serre).- [1957b] On the Birational Equivalence of Curves under Specialization (with W.-L. Chow).- [1957c] Divisors and Endomorphisms on Abelian Varieties.- [1958a] Reciprocity and Correspondences.- [1958b] Principal Homogeneous Spaces over Abelian Varieties (with J. Tate).- [1958c] Algebraic Groups and the Galois Theory of Differential Fields (with E. Kolchin).- [1959a] Rational Points of Abelian Varieties over Function Fields (with A. Néron).- [1960a] Existence of Invariant Bases (with E. Kolchin).- [1960b] Integral Points on Curves.- [1960c] Some Theorems and Conjectures in Diophantine Equations.- [1960d] On a Theorem of Mahler.- [1961] Review of Eléments de Géometrie algébrique (A. Grothendieck).- [1962a] A Transcendence Measure for E-functions.- [1962b] Transcendental Points on Group Varieties.- [1962c] Fonctions implicites et Plongements Riemanniens.- [1964a] Diophantine Approximation on Toruses.- [1965a] Report on Diophantine Approximations.- [1965b] Division Points on Curves.- [1965c] Algebraic Values of Meromorphic Functions.- [1965d] Asymptotic Approximation to Quadratic Irrationalities I.- [1965e] Asymptotic Approximation to Quadratic Irrationalities II.- [1965f] Some Computations in Diophantine Approximation (with W. Adams).- [1966a] Algebraic Values of Meromorphic Functions II.- [1966b] Asymptotic Diophantine Approximations.- [1966c] Introduction to Transcendental Numbers.- [1970a] Analytic Subgroups of Group Varieties (with E. Bombieri).- [1970b] Review of Diophantine Equations (L.J. Mordell).

Textul de pe ultima copertă

Serge Lang (1927-2005) was one of the top mathematicians of our time. He was born in Paris in 1927, and moved with his family to California, where he graduated from Beverly Hills High School in 1943. He subsequently graduated from California Institute of Technology in 1946, and received a doctorate from Princeton University in 1951 before holding faculty positions at the University of Chicago and Columbia University (1955-1971). At the time of his death he was professor emeritus of Mathematics at Yale University.An excellent writer, Lang has made innumerable and invaluable contributions in diverse fields of mathematics. He was perhaps best known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He was also a member of the Bourbaki group.He was honored with the Cole Prize by the American Mathematical Society as well as with the Prix Carrière by the French Academy of Sciences. These five volumes collect the majority of his research papers, which range over a variety of topics.