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