Math Exposition and History

  1. Galois’ dream, Michio Kuga.
  2. Primes of the form x^2+ ny^2- David Cox
  3. Fearless Symmetry –Avner Ash and Robert Gross
  4. Proofs from the Book- Aigner, Zeigler
  5. Flatland – Abbott
  6. Euler’s Gem, Richeson
  7. The Shape of Space. Weeks. 
  8.  The Knot Book. Adams.
  9. Geometry and Topology. Reid, Szendroi.
  10. Indra’s Pearls, David Mumford, Caroline Series, David Wright
  11. Symmetry, Hermann Weyl
  12. Geometry revealed, Marcel Berger
  13. A panoramic view of Riemannian geometry. Marcel Berger
  14. Geometry and imagination, D. Hilbert and Cohn-Vossen
  15. Journey Through Genius, Dunham
  16. Mathematics and Its History. John Stillwell
  17. Why Beauty is Truth-
  18. The Magical Maze
  19. Another Fine Math You’ve Got Me Into
  20. What is mathematics? – Robbins , Courant
  21. Elementary Applied Topology –Ghrist
  22. A Singular Mathematical Promenade http://ghys.perso.math.cnrs.fr/bricabrac/promenade.pdf
  23. Road to Reality, Penrose
  24. Visual Complex Analysis, Tristan Needham
  25. Fifty challenging problems in probability with solutions by Frederick Mosteller.
  26. Fourier Analysis, T. W. Korner
  27. The pleasures of counting, T. W. Korner
  28. Magical Math- Persi Diaconis
  29. What are numbers?, A. A. Kirillov
  30. Huygens and Barrow, Newton and Hooke. V. Arnold
  31. Mathematical events of the twentieth century. V Arnold (edited)
  32. Number theory and its history, Oystein Ore
  33. Classical mechanics with Calculus of variations and optimal control. Mark Levi
  34. The Four Pillars of Geometry. Stillwell
  35. Geometry of Surfaces. Stillwell
  36. Development of mathematics in the 19th century. Felix Klein 
  37. Mathematical Thought From Ancient to Modern Times. Morris Kline
  38. Mathematics: A Cultural Approach. Morris Kline
  39. The World of Mathematics  James Newman (edited)
  40. Tales of Physicists and Mathematicians, Simon Gindikin
  41. Number Theory: An approach through history from Hammurapi to Legendre. Andre Weil
  42. Visual Group Theory. Carter.
  43. Mathematical Expeditions: Chronicles by the Explorers. Reinhard Laubenbacher and David Pengelley
  44. Mathematical Masterpieces: Further Chronicles by the Explorers, Art Knoebel, Reinhard Laubenbacher, Jerry Lodder, and David Pengelley.
  45. On Quaternions and Octonions. Conway
  46. Glimpses of Algebra and Geometry. Toth. 
  47. Group theory and physics, Shlomo Sternberg
  48. Celestial mechanics. Shlomo Sternberg
  49. Never a Dull Moment,  Keith Kendig
  50. The joy of x –Strogatz
  51. Nonlinear Dynamics and Chaos- Strogatz
  52. Introduction to mathematics. Gowers
  53. Indiscrete Thoughts- Rota
  54. A Concise History of Mathematics. Dirk J. Struik
  55. Math through the Ages. Berlinghoff and Gouvea.
  56. The KAM Story, H. Scott Dumas
  57. Geometry for the liberal arts, Dan Pedoe
  58. A Mathematical Gift – The Interplay Between Topology, Functions, Geometry, and Algebra
  59. Twelve Landmarks of Twentieth-Century Analysis
  60. Rational Number Theory in the 20th Century
  61. The Development of Prime Number Theory: From Euclid to Hardy and Littlewood
  62. Moonshine beyond the Monster, Terry Gannon
  63. Computing the Continuous Discretely, Beck and Robins.
  64. Proofs and Confirmations: The Story of the Alternating-Sign Matrix Conjecture, David Bressoud
  65. The Shape of Algebra in the Mirrors of Mathematics. Gabriel Katz and Vladimir Nodelman
  66. Solid Shape
  67. Symmetry and the Monster, Mark Ronan
  68. Mathematical snapshots. Hugo Steinhaus.
  69. Dynamics, the Geometry of Behavior, Ralph Abraham and Chris Shaw. 
  70. Glimpses of Algebra and Geometry, Gabor Toth
  71. Combinatorics through Guided Discovery, Kenneth P. Bogart
  72. The Princeton Companion to Mathematics. Gowers (ed). 
  73. Geometry of the Quintic, Shurman
  74. Topology of Numbers, Hatcher
  75. Arithmetic of Algebraic Curves, Stepanov
  76. The Cauchy-Schwarz Master Class
  77. Mathematical Omnibus: Thirty Lectures on Classic Mathematics
  78. Problem Solving Strategies, Arthur Engel
  79. Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra, Matousek
  80. The Poincaré Conjecture: In Search of the Shape of the Universe
  81. Godel, Escher, Bach: an Eternal Golden Braid, 
  82. I am a strange loop
  83. A History of Mathematics. Victor J. Katz
  84. The Lady or the Tiger? – Smullyan
  85. What is the name of this book? – Smullyan
  86. The honors class: Hilbert’s problems and their solvers. Ben Yandell
  87. Mathematics and the Imagination
  88. Lion-Hunting & Other Mathematical Pursuits
  89. Prisoner’s Dilemma –William Poundstone
  90. IMO problems compendium
  91. The History of Mathematics: An Introduction. David Burton
  92. History of Number Theory, Leonard Dickson
  93. Euler. The Master of Us All. William Wade Dunham
  94. The Historical Development of the Calculus. Charles Henry Edwards
  95. Classical and Modern Integration Theories. Ivan Nikolaevich Pesin
  96. A Mathematicians’s Miscellany. Littlewood
  97. Adventures of a Mathematician. Stanislaw Ulam
  98. History of Algebraic Geometry. Jean Dieudonne
  99. A History of Algebraic and Differential Topology, 1900 – 1960. Jean Dieudonne
  100. History of Functional Analysis. Jean Dieudonne
  101. Mathematics: The Music of Reason. Jean Dieudonne
  102. A Panorama of Pure Mathematics. Jean Dieudonne
  103. The Hilbert Challenge. Jeremy J. Gray
  104.  Mathematician Grappling with His Century.  Laurent Schwartz
  105. Birth of a Theorem: A Mathematical Adventure.  Cédric Villani
  106. Geometry by Its History. Alexander Ostermann and Gerhard Wanner
  107. The Shaping of Arithmetic after C.F. Gauss’s Disquisitiones Arithmeticae.
  108. Great Moments in Mathematics, Vol. 1 & Vol 2. Howard Eves
  109.  Elements of the History of Mathematics. Bourbaki
  110.  Men Of Mathematics. E.T Bell
  111. Legacy of Leonhard Euler, The: A Tricentennial Tribute. Lokenath Debnath
  112. Analysis by its history. E. Hairer and G. Wanner
  113. Mathematics: the loss of certainty. Klein
  114. Gamma. Exploring Eulers constant. Julian Havil
  115. Notes on Fermat’s Last Theorem. van der Poorten 
  116. Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics: Jose Ferreiros Dominguez
  117. History of Topology. I.M. James.
  118. A History of Numerical Analysis from the 16th through the 19th century. Herman Heine Goldstine
  119. Essays in the history of Lie groups and algebraic groups. Armand Borel
  120. Reciprocity Laws: From Euler to Eisenstein. Franz Lemmermeyer
  121. Discrete Thoughts: Essays on Mathematics, Science, and Philosophy. M. Kac
  122. A History of Homological Algebra. Weibel
  123. Four Colours Suffice: How the Map Problem Was Solved. Robin J. Wilson
  124. Kepler’s Conjecture: How Some of the Greatest Minds in History Helped Solve One of the Oldest Math Problems in the World. George G. Szpiro
  125. Development of Mathematics 1900-1950. Jean-Paul Pier
  126. Mathematical Analysis During the 20th Century. Jean-Paul Pier
  127. The Mathematical Century: The 30 Greatest Problems of the Last 100 Years. Piergiorgio Odifreddi
  128. The Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of its Creators. Alexander Soifer
  129. Pioneers of representation theory: Frobenius, Burnside, Schur, and Brauer. Charles Curtis
  130. Modern Mathematics in the Light of the Fields Medals. Michael Monastyrsky
  131. Riemann, Topology, and Physics. Michael Monastyrsky
  132. The Unreal Life of Oscar Zariski. Carol Parikh
  133. History of Banach spaces and linear operators. Albrecht Pietch
  134.  Correspondance Entre Henri Cartan et André Weil. Michèle Audin
  135. Episodes in the History of Modern Algebra (1800-1950).
  136. Remarkable Mathematicians: From Euler to von Neumann. Ioan James
  137. Lessons in Geometry. Jacques Hadamard
  138.  Concrete Mathematics. Knuth, Graham and Patashnik
  139. How to Solve It. G. Pólya
  140. Lectures and Problems: A Gift to Young Mathematicians. V. Arnold
  141. On teaching mathematics. V. Arnold
  142. Mathematics: It’s Content, Methods, and Meaning. Aleksandrov, Kolmogorov, Gould
  143. Hoard of Mathematical Treasures. Ian Stewart
  144. Professor Stewart’s Cabinet of Mathematical Curiosities.
  145. Ten Great Ideas About Chance.  Diaconis and Skyrms
  146.  Mathematics, Form and Function. Saunders Mac Lane.
  147. Geometry: Euclid and beyond. Hartshorne