The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of MathematicsMath’s infinite mysteries and beauty unfold in this followup to the bestselling The Science Book. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modernday quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicadagenerated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic gets a lavishly illustrated spread with stunning color art, along with formulas and concepts, fascinating facts about scientists’ lives, and realworld applications of the theorems.

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LibraryThing Review
User Review  jms001  LibraryThingAfter nearly a year, I have finally finished the book about math. It may sound daunting, especially for your average person. But if you really love math concepts, and you really love reading, then ... Read full review
LibraryThing Review
User Review  julie10reads  LibraryThingThe subtitle gives the best summary of this gorgeous book. I find the iridescent prime numbers on the cover particularly charming. Haven't made it through all chronologically ordered 250 milestones ... Read full review
Contents
Introduction  10 
B C Go  42 
B C Euclids Elements  56 
B C Archimedes Spiral  66 
Slide Rule  130 
Fermats Spiral  132 
Fermats Last Theorem  134 
Descartes La Géométrie  136 
Babbage Mechanical Computer  218 
Cauchys Le Calcul Infinitésimal  220 
Barycentric Calculus  222 
NonEuclidean Geometry  224 
Möbius Function  226 
Group Theory  228 
Pigeonhole Principle  230 
Quaternions  232 
Cardioid  138 
Logarithmic Spiral  140 
Projective Geometry  142 
Torricellis Trumpet  144 
Pascals Triangle  146 
The Length of Neiles Semicubical Parabola  148 
Vivianis Theorem  150 
Discovery of Calculus  152 
Newtons Method  154 
Tautochrone Problem  156 
Astroid  158 
LHôpitals Analysis of the Infinitely Small  160 
Rope around the Earth Puzzle  162 
Law of Large Numbers  164 
Eulers Number e  166 
Stirlings Formula  168 
Normal Distribution Curve  170 
EulerMascheroni Constant  172 
Königsberg Bridges  174 
St Petersburg Paradox  176 
1  177 
Goldbach Conjecture  178 
Agnesis Instituzioni Analitiche  180 
Eulers Formula for Polyhedra  182 
Eulers Polygon Division Problem  184 
Knights Tours  186 
Bayes Theorem  188 
Franklin Magic Square  190 
Minimal Surface  192 
Buffons Needle  194 
ThirtySix Officers Problem  196 
Sangaku Geometry  198 
Least Squares  200 
Constructing a Regular Heptadecagon  202 
Fundamental Theorem of Algebra  204 
Gausss Disquisitiones Arithmeticae  206 
ThreeArmed Protractor  208 
Fourier Series  210 
Laplaces Théorie Analytique des Probabilités  212 
Prince Ruperts Problem  214 
Bessel Functions  216 
Transcendental Numbers  234 
Catalan Conjecture  236 
The Matrices of Sylvester  238 
FourColor Theorem  240 
Boolean Algebra  242 
Icosian Game  244 
Harmonograph  246 
The Möbius Strip  248 
Holditchs Theorem  250 
Riemann Hypothesis  252 
Beltramis Pseudosphere  254 
Weierstrass Function  256 
Gross Théorie du Baguenodier  258 
The Doctorate of Kovalevskaya  260 
Reuleaux Triangle  266 
Venn Diagrams  272 
Tower of Hanoi  278 
Peano Axioms  284 
Sylvesters Line Problem  290 
Morleys Trisector Theorem  296 
Boys Surface  302 
Poincaré Conjecture  308 
Jordan Curve Theorem  314 
Normal Number  320 
Hairy Ball Theorem  326 
Information Theory  394 
Nash Equilibrium  400 
Cellular Automata  406 
Turning a Sphere Inside Out  412 
Newcombs Paradox  418 
Ulam Spiral  424 
Fuzzy Logic  430 
Sprouts  436 
Donald Knuth and Mastermind  442 
Penrose Tiles  448 
Chaitins Omega  454 
Notes and Further Reading  518 
Orem  519 
526  
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The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the ... Clifford A. Pickover No preview available  2012 