 | The Book of Numbers by John H. Conway
Buy new: $26.37 / Used from: $10.90 A one of a kind book about number theory.
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 | Galois Theory, Third Edition (Chapman & Hall/Crc Mathematics) by Ian Stewart
Buy new: $49.26 / Used from: $43.76 A very fun introduction to Galois theory.
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 | Calculus by Michael Spivak
Buy new: $85.00 / Used from: $69.78 THE Calculus textbook.
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 | Mathematics: Form and Function by S. MacLane
A broad overview of modern math from a category theory perspective.
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 | Principles of Mathematical Analysis, Third Edition by Walter Rudin
Buy new: $74.06 / Used from: $69.47 How real analysis should be written.
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 | The Road to Reality: A Complete Guide to the Laws of the Universe by Roger Penrose
Buy new: $17.16 / Used from: $14.49 A broad overview of physics and mathematics, if you can get past Penrose's platonism.
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 | Topology (2nd Edition) by James Munkres
Buy new: $106.60 / Used from: $85.00 Excellent reference on point-set and algebraic topology.
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 | The Princeton Companion to Mathematics
Buy new: $71.28 / Used from: $57.85 Awe inspiring series of articles on an incredible range of topics.
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 | Fearless Symmetry: Exposing the Hidden Patterns of Numbers (New Edition) by Avner Ash
Buy new: $13.16 / Used from: $10.86 An interesting laymen's book on Galois theory and its uses.
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 | All the Mathematics You Missed But Need to Know for Graduate School by Thomas A. Garrity
Buy new: $79.20 / Used from: $92.40 A broad overview of undergradute math from vector calculus to graph theory.
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 | Meta Maths: The Quest for Omega by Gregory J. Chaitin
Buy used from: $1.26 A mind blowing discussion of complexity theory and Godel's theorem.
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 | Ordinary Differential Equations by Morris Tenenbaum
Buy new: $16.47 / Used from: $12.25 A fine treatment of DE, you'll find methods here that won't appear anywhere else as well as a plethora of worked problems.
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 | Godel, Escher, Bach: An Eternal Golden Braid by Douglas R. Hofstadter
Buy new: $15.61 / Used from: $8.00 Not a math book per se, but it should be read by anyone with any interest in logic, philosophy, psychology and life.
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 | Concrete Mathematics: A Foundation for Computer Science (2nd Edition) by Ronald L. Graham
Buy new: $53.92 / Used from: $50.00 A rigorous (and fun) treatment of discrete math.
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 | Linear Algebra Done Right by Sheldon Axler
Buy new: $32.36 / Used from: $26.98 Title speaks for itself.
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