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Path: senator-bedfellow.mit.edu!bloom-beacon.mit.edu!news-peer.gip.net!news.gsl.net!gip.net!europa.netcrusader.net!204.71.34.3!newsfeed.cwix.com!torn!watserv3.uwaterloo.ca!alopez-o
From: alopez-o@neumann.uwaterloo.ca (Alex Lopez-Ortiz)
Newsgroups: sci.math,news.answers,sci.answers
Subject: sci.math FAQ: Bibliography
Followup-To: sci.math
Date: 17 Feb 2000 22:55:54 GMT
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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 alopez-o@unb.ca
http://www.cs.unb.ca/~alopez-o Assistant Professor
Faculty of Computer Science University of New Brunswick