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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