## 2013年4月23日火曜日

### 読んでいて楽しい数学の本

(数学科の学生が) 読んでいて楽しい本 というのが紹介されているページがあった. 名前だけ知っているが読んだことない本やそもそも全く知らない本など色々あった. 和訳がある本もいくつかあるし, PDF の参照がある本もある. 興味がある向きもあろうから, とりあえず共有しておこう. 本だけ抜き出しておこう.
1. On Numbers and Games, by John Conway.
2. Groups, Graphs and Trees: An Introduction to the Geometry of Infinite Groups, by John Meier.
3. Ramsey Theory on the Integers, by Bruce Landman.
4. Fourier Analysis, T.W.Korner, Cambridge University Press, 1988
5. Generatingfunctionology by Herbert Wilf.
6. The Symmetries of Things by Jon Conway
7. Visual Complex Analysis by Needham
8. Roads to Infinity: The Mathematics of Truth and Proof by Stillwell
9. Primes of the Form $p=x2+ny2$ by David A. Cox
10. Gamma: Exploring Euler's Constant
11. Concrete Mathematics, by Graham, Knuth, & Patashnik,
12. Cauchy-Schwarz Inequality
13. Cauchy-Schwarz PDF
14. The Sensual (Quadratic) Form, by John Conway.
15. Proofs that Really Count, by Art Benjamin and Jenny Quinn.
16. Surreal Numbers by Knuth.
17. The Shape of Space by Jeff Weeks
18. The Knot Book by Colin Adams
19. The Wild World of 4-Manifolds by Alexandru Scorpan
20. Counterexamples in Topology
21. Visual Group Theory
22. Matrix Groups for undergraduates by Kristopher Tapp.
23. Numbers, by Ebbinghaus and 7 co-authors. It has nice
24. Want-Be-Mathematician-Automathography-Spectrum
25. Robertson and Webb's Cake-Cutting Algorithms: Be Fair If You Can
26. Real Infinite Series
27. A Radical Approach to Real Analysis
28. Counterexamples in Analysis
29. Galois Theory for Beginners
30. Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics (Plume Books, 2003)
31. Unknown Quantity: A Real And Imaginary History of Algebra (Joseph Henry Press, 2006)
32. Information Theory, Inference and Learning Algorithms by David Mackay
33. Topology And Groupoids, by Ronald Brown
34. Imre Lakatos, Proofs and refutations: The logic of mathematical discovery
35. mathematical fiction books
36. Modern Graph theory by Bela Bollobas
37. Euler's Gem
38. Fifty challenging problems in probability. Here is a
39. Graphs and their uses by Oystein Ore.
40. A History of Abstract Algebra by Israel Kleiner
41. In Pursuit of the Traveling Salesman by William Cook.
42. Mathematics Form and Function Saunders MacLane
43. A Gentle Introduction to Art of Mathematics by Joseph Fields
44. Galois Theory by Ian Stewart
45. Conceptual Mathematics -Lawvere and Schanuel
46. Sets for Mathematics -Lawvere and Rosebrugh
47. A Walk Through Combinatorics - Bona
48. Combinatorial Species and Tree-Like Structures -Bergeron, Labelle & Leroux
49. Ordinary Differential Equations - Arnold
50. What Are and What's the Purpose of Numbers -Dedekind
51. Collected Works of Karl Menger - Menger
52. Algebraic Number Theory and Fermat's Last Theorem- Stewart
53. Theory of Gambling and Statistical Logic -Epstein
54. Theoretical Introduction to Programming - Mills
55. Elements of Statistical Learning - Hastie, Tibshirani & Friedman