A History of MathematicsThe updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs.
Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it. |
Contents
The Islamic Hegemony | 11 |
Arithmetic Pragmatism | 19 |
Analysis | 22 |
Hellenic Traditions | 40 |
90 | 63 |
Paradoxes of Zeno 67 Deductive Reasoning | 70 |
The Academy 74 Aristotle | 88 |
On the Equilibriums of Planes | 110 |
Stevin 296 Johannes Kepler | 296 |
Analysis Synthesis the Infinite and Numbers | 306 |
British Techniques and Continental Methods | 348 |
Euler | 408 |
Pre to Postrevolutionary France | 423 |
Carnot | 438 |
Men and Institutions 423 The Committee on Weights | 449 |
Diffusion | 460 |
Apollonius of Perge | 116 |
Works and Tradition 127 Lost Works 128 Cycles | 130 |
Crosscurrents | 144 |
Athenian Fragments | 172 |
Ancient and Medieval China | 178 |
Ancient and Medieval India | 186 |
The Latin West | 223 |
and Algorists 227 Fibonacci 229 Jordanus Nemorarius | 232 |
Thomas Bradwardine 236 Nicole Oresme 238 The Latitude | 242 |
Chuquets Triparty 249 Luca Paciolis Summa | 251 |
Early Modern Problem Solvers | 273 |
Accessibility of Computation 282 Decimal Fractions | 283 |
Logarithms 286 Mathematical Instruments | 290 |
Number Theory 466 Reception of the Disquisitiones | 471 |
Geometry | 479 |
Algebra | 504 |
TwentiethCentury Legacies | 548 |
The Fields Medals | 584 |
Classification of Finite Simple Groups | 591 |
| 601 | |
Geometry | 627 |
General Bibliography | 633 |
| 636 | |
| 647 | |
| 649 | |
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Common terms and phrases
algebra analysis analytic geometry ancient angle Apollonius appeared Arabic Archimedean Archimedes Archytas arithmetic Arithmetica astronomical Babylonian Bernoulli Book calculus Cauchy century chord circle computation cone conic conic sections construction coordinates cube cubic curve decimal Descartes diameter differential Dinostratus Diophantus discovery earlier École Polytechnique Egyptian Elements ellipse equal equation equivalent Euclid Eudoxus Euler example Fermat formula fractions function Gauss given Greek mathematics hence Hippocrates history of mathematics hyperbola inscribed integral intersection known Lagrange later Legendre Leibniz line segment logarithms magnitudes mathematicians Menaechmus method modern Monge multiplication Newton notation Pappus parabola perpendicular plane Plato polygon postulate prime problem proof properties Proposition Ptolemy published Pythagoras Pythagorean Pythagorean theorem quadratic quadrature ratio rectangle result right triangle roots sexagesimal sides solid solution sphere square straight line symbols tangent textbooks Thales theorem theory of numbers treatise trigonometry unit fractions