Great books to learn what Math is really about
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"What is Mathematics?" by R. Courant and H. Robbins. Revised by I. Stewart.
Oxford University Press, Oxford and New York, 1996.
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"Geometry and Imagination" by D. Hilbert and S. Cohn-Vossen.
AMS Chelsea Publishing, Providence, Rhode Island, 1999.
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"Proofs from the Book" by M. Aigner and G.M. Ziegler.
Springer, Berlin, 1999.
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"Symmetry" by H. Weyl. Princeton University Press, Princeton, New Jersey, 1952.
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"The Enjoyment of Math" by H. Rademacher and O. Toeplitz.
Princeton University Press. Princeton, New Jersey, 1957.
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"An Introduction to Probability Theory and Applications". Vol. I (3rd edition).
W. Feller. John Wiley and Sons, 1970.
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"Concrete Mathematics" by R.L. Graham, D.E. Knuth, and O. Patashnik.
Addison-Wesley. Reading, Massachusetts, 1998.
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"Three-Dimensional Geometry and Topology" Vol. I. W.P. Thurston.
Princeton University Press. Princeton, New Jersey, 1997.
Books on recreational mathematics
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"Mathematical Recreations: a collection in honor of Martin Gardner".
D.A. Klarner (Ed.). Dover Publications, INC. New York, 1998.
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"The Colossal Book of Mathematics" by Martin Gardner.
W.W. Norton and Company, New York -- London, 2001.
Problems and problem solving
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"How to Solve It" by G. Polya. Princeton University Press.
Princeton, New Jersey.
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"The USSR Olympiad Problem Book" by D.O. Schklarsky, N.N. Chentzov, and I.M.
Yaglom. Dover Publications, INC. New York, 1993.
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"100 Great Problems of Elementary Mathematics" by H. Dörrie.
Dover Publications, INC. New York, 1965.
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"Challenging Mathematical Problems with Elementary Solutions" Vols. I and II.
A.M. Yaglom and I.M. Yaglom. Dover Publications, INC. New York, 1967.
Computer Science from a Mathematical viewpoint
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"The Art of Computing Programming: Fundamental Algorithms" by D.E. Knuth.
Addison-Wesley, Reading, Massachusetts, 1997.
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"The Art of Computing Programming: Seminumerical Algorithms" by D.E. Knuth.
Addison-Wesley, Reading, Massachusetts, 1998.
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"The Art of Computing Programming: Sorting and Searching" by D.E. Knuth.
Addison-Wesley, Reading, Massachusetts, 1998.
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"An Introduction to the Analysis of Algorithms" by R. Sedgewick and
P. Flajolet. Addison-Wesley, Reading, Massachusetts, 1996.
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"The Design and Analysis of Algorithms" by D.C. Kozen. Texts and Monographs
in Computer Science. Springer-Verlag, New York, 1991.
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"Theory of Recursive Functions and Effective Computability" by
H. Rogers, Jr. The MIT Press, Cambridge, Massachusetts, 1987.
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"Computability and Unsolvability" by M. Davis.
Dover Publications, INC. New York, 1982.
Lisp, Scheme, and Artificial Intelligence
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"Structure and Interpretation of Computer Programs" by
H. Abelson and G.J. Sussman. The MIT Press, Cambridge Massachusetts,
1996.
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"On Lisp. Advanced Techniques for Common Lisp" by P. Graham.
Prentice Hall, Englewood Cliffs, New Jersey, 1994.
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"Paradigms of Artificial Intelligence: Case Studies in Common Lisp" by
P. Norvig. Morgan Kaufmann Publishers, San Francisco, California, 1992.
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"Common Lisp, the Language" by G.L. Steele, Jr.
Digital Press, 1990.
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