Mathematician:Serge Lang

From ProofWiki
Jump to: navigation, search

Mathematician

French-American mathematician known for his work in number theory, and for the mathematics textbooks he wrote.

Member of the Bourbaki group.


Nationality

French-born American


History

  • Born: 19 May 1927, Saint-Germain-en-Laye, near Paris, France
  • Died: 12 Sept 2005, Berkeley, California, USA


Works


Books and Papers

  • 1951: On Quasi Algebraic Closure
  • 1952: Hilbert's Nullstellensatz in Infinite-Dimensional Space
  • 1952: On Chevalley's Proof of Lüroth's Theorem (with John Tate)
  • 1954: Number of Points of Varieties in Finite Fields (with André Weil).
  • 1958: Introduction to Algebraic Geometry
  • 1959: Abelian Varieties
  • 1962: Diophantine Geometry
  • 1962: Introduction To Differentiable Manifolds
  • 1964: A First Course in Calculus
  • 1964: Algebraic Numbers
  • 1965: A Second Course in Calculus
  • 1965: Algebra (and many later editions)
  • 1966: Algebraic Structures
  • 1966: Introduction to Diophantine Approximations
  • 1966: Introduction to Transcendental Numbers
  • 1966: Linear Algebra
  • 1966: Rapport sur la Cohomologie des Groupes
  • 1968: A Complete Course in Calculus
  • 1968: Analysis I
  • 1969: Analysis II
  • 1969: Real Analysis
  • 1970: Algebraic Number Theory
  • 1970: Introduction To Linear Algebra
  • 1971: Basic Mathematics
  • 1972: Differential Manifolds
  • 1972: Introduction to Algebraic and Abelian Functions
  • 1973: Calculus of Several Variables
  • 1973: Elliptic Functions
  • 1975: $SL_2 (R)$
  • 1977: Complex Analysis
  • 1978: Cyclotomic Fields
  • 1978: Elliptic Curves: Diophantine Analysis
  • 1981: Modular Units (with Dan Kubert)
  • 1981: The File: Case Study in Correction 1977–1979
  • 1983: Undergraduate Analysis
  • 1983: Complex Multiplication
  • 1983: Fundamentals Of Diophantine Geometry
  • 1985: The Beauty of Doing Mathematics: Three Public Dialogues
  • 1985: Math!: Encounters with High School Students
  • 1985: Riemann-Roch Algebra (with William Fulton)
  • 1986: Topics in Cohomology of Groups (translation of Rapport sur la Cohomologie des Groupes from 1966)
  • 1987: Introduction to Modular Forms
  • 1987: Introduction To Complex Hyperbolic Spaces
  • 1987: Undergraduate Algebra
  • 1988: Geometry
  • 1988: Introduction to Arakelov Theory
  • 1989: Cyclotomic Fields II
  • 1990: Undergraduate Algebra (2nd Edition)
  • 1993: Real and Functional Analysis
  • 1995: Differential and Riemannian Manifolds
  • 1993: Basic Analysis of Regularized Series and Products (with Jay Jorgenson)
  • 1997: Challenges
  • 1997: Survey On Diophantine Geometry
  • 1999: Fundamentals of Differential Geometry
  • 1999: Math Talks for Undergraduates
  • 1999: Problems and Solutions for Complex Analysis (with Rami Shakarchi)
  • 2000: Collected Papers I: 1952–1970
  • 2000: Collected Papers II: 1971–1977
  • 2000: Collected Papers III: 1978–1990
  • 2000: Collected Papers IV: 1990–1996
  • 2001: Short Calculus (new edition of A First Course in Calculus from 1964)
  • 2001: Spherical Inversion on $SL_n$ (with Jay Jorgenson)
  • 2005: $Pos_n (R)$ and Eisenstein Series (with Jay Jorgenson)
  • 2008: The Heat Kernel and Theta Inversion on $SL_2 (C)$ (with Jay Jorgenson)
  • 2009: Heat Eisenstein series on $SL_n (C)$ (with Jay Jorgenson)


Sources