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From: [email protected] (Alex Lopez-Ortiz)
Newsgroups: sci.math,news.answers,sci.answers
Subject: sci.math FAQ: Bibliography
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Archive-name: sci-math-faq/bibliography
Last-modified: February 20, 1998
Version: 7.5


               References, General Bibliography and Textbooks

  The following books have been recommended by several readers. The
  number of recommendations is in brackets.

    * Algebra
      Lang, Serge. Algebra. 2nd ed. Addison-Wesley Pub. Co., 1984. [2]
      Halmos, Linear Algebra. [1]
      Birkhoff, McLane, Algebra
      van der Waerden. Algebra
      Atiyah & MacDonald. Introduction to Commutative Algebra
    * Complex Analysis
      Ahlfors, Lars Valerian. Complex analysis : an introduction to the
      theory of analytic functions of one complex variable. 3rd ed. New
      York; Toronto : McGraw-Hill, c1979. [2]
      Conway, John B. Functions of one complex variable [by] John B.
      Conway. [New York] Springer-Verlag New York, 1973. [1]
      Priestley, Introduction to complex analysis
    * Real & Complex Analysis
      Titchmarsh. Theory of Functions
      Boas. Primer of Real Functions
      Polya & Szego. Problems & Theorems in Analysis
      Rudin, Walter. Principles of mathematical analysis. 3d ed. New
      York : McGraw-Hill, 1976. [2]
      Rudin, Walter. "Functional Analysis"
      Royden, H. L. Real analysis. 3rd ed. New York, Macmillan ; London
      : Collier Macmillan, 1988. [1]
      Hewitt, Edwin, 1920. Real and abstract analysis : a modern
      treatment of the theory of functions of a real variable. New York
      : Springer-Verlag, 1969. [2]
      Dieudonne'. Foundations of Analysis
      Courant & Hilbert. Mathematical Methods of Physics.
    * Geometry
      David Hilbert. Foundations of Geometry 2nd English edition, tr. by
      Leo Unger, publ. by Open Court, 1971. Neumann, Stoy & Thompson.
      Groups and Geometry [1]
    * Number Theory
      Hardy, Littlewood.
      Samuel, "Algebraic Theory of Numbers"
      Hardy & Wright
    * History of Mathematics
      Morris Kline Mathematical Thought from Ancient to Modern Times
    * Topology
      Guillemin, Victor and Alan Pollack: Differential Topology. Spivak,
      Michael: A Comprehensive Introduction to Differential Geometry,
      Vol. I
      Morgan, Frank: Riemannian Geometry: A Beginner's Guide
      Milnor, "Topology from the Differentiable Viewpoint"
      R. Engelking. General Topology.
      Kuratowski. Topology.
      Copson. Metric Spaces.
      Greenberg, Martin and (?) Harper: Algebraic Topology: An
      Introduction.
      Kelly, General topology
    * Calculus
      Hardy, Course of Pure Mathematics.[2]
      Landau. Differential & Integral Calculus.
      Courant & John. Introduction to Calculus & Analysis, vol.1.
      Spivak. Calculus on Manifolds.
    * Probability
      Feller, Introduction to probability theory
    * Statistics
      Silvey, Statistical inference
    * Measure Theory
      Weir, Integration and measure
    * General
      Courant & Robins [2] What is Mathematics. Oxford University Press.
      1969
--
Alex Lopez-Ortiz                                         [email protected]
http://www.cs.unb.ca/~alopez-o                       Assistant Professor
Faculty of Computer Science                  University of New Brunswick