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God created the integers: the mathematical breakthroughs that changed history

Author: Hawking, Stephen W. Publisher: Running Press, 2005.Language: EnglishDescription: 1160 p. ; 24 cm.ISBN: 0762419229Type of document: BookBibliography/Index: Includes bibliographical references and index
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Item type Current location Collection Call number Status Date due Barcode Item holds
Book Europe Campus
Main Collection
Print Q175 .H39 2005
(Browse shelf)
Available 001159312
Total holds: 0

Includes bibliographical references and index


God Created The Integers The Mathematical, Breakthroughs that Changed History Contents Introduction EUCLID (c.325Bc-265Bc) XI His Life and Work Selections from Euclid's Elements Book I: Basic Geometry--Definitions, Postulates, Common Notions and Proposition 47 (Leading up to the Pythagorean Theorem) Book V: The Eudoxian Theory of Proportion--Definitions and Propositions Book VII: Elementary Number Theory--Definitions and Propositions Book IX: Proposition 20: The Infinitude of Prime Numbers Book IX: Proposition 36: Even Perfect Numbers Book X: Commensurable and Incommensurable Magnitudes ARCHIMEDES (287Bc-212Bc) 01 07 25 63 101 102 104 His Life and Work Selections from The Works of Archimedes On the Sphere and Cylinder, Book I On the Sphere and Cylinder, Book II Measurement of a Circle The Sand Reckoner The Methods DIOPHANTUS (Third Century AD) 119 126 168 194 200 209 His Life and Work Selections from Diophantus of Alexandria, A Study in the History of Greek Algebra Book II Problems 8-35 Book III Problems 5-21 Book V Problems 1-29 VII 241 246 255 265 CONTENTS RENÉ DESCARTES (1596-1650) His Life and Work The Geometry of Rene Descartes ISAAC NEWTON (1642-1727) 285 292 His Life and Work Selections from Principia Book I: Of the Motion of Bodies PIERRE SIMON DE LAPLACE (1749-1827) 365 374 His Life and Work A Philosophical Essay on Probabilities JEAN BAPTISTE JOSEPH FOURIER (1768-1830) 383 390 His Life and Work Selection from The Analytical Theory of Heat Chapter III: Propagation of Heat in an Infinite Rectangular Solid (The Fourier series) CARL FRIEDRICH GAUSS (1777-1855) 491 500 His Life and Work 563 Selections from Disquisitiones Arithmeticae (Arithmetic Disquisitions) Section III Residues of Powers 571 Section IV Congruences of the Second Degree 597 AUGUSTIN-LOUIS CAUCHY (1789-1857) His Life and Work Selection from Oeuvres complètes d'Augustin Cauchy 635 Resume des lecons donnees a l'École Royale Polytechnique sur le calcul infinitesimal (1823), series 2, vol. 4 Lessons 3-4 on differential calculus 643 Lessons 21-24 on the integral 651 VIII CONTENTS GEORGE BOOLE (1815-1864) His Life and Work An Investigation of the Laws of Thought GEORG FRIEDRICH BERNHARD RIEMANN (1826-1866) 669 676 His Life and Work 813 On the Representability of a Function by Means of a Trigonometric Series (Ueber die Darsteilbarkeit einer Function durch einer trigonometrische Reihe) 826 On the Hypotheses which lie at the Bases of Geometry (Ueber die Hypothesen welche der Geometrie zu Grunde liegen) 865 On the Number of Prime Numbers Less than a Given Quantity (Ueber di Anzahl of Primzahlen unter eine gegeben Grosse) 876 KARL WEIERSTRASS (1815-1897) His Life and Work A Theory of Functions (Lecture Given in Berlin in 1886, with the Inaugural Academic Speech, Berlin 1857) §7 Uniform Continuity (Gleichmässige Stetigkeit) RICHARD JULIUS WILHELM DEDEKIND (1831-1916) 887 894 His Life and Work Essays on the Theory of Numbers GEORG CANTOR (1845-1918) 901 906 His Life and Work Selections from Contributions to the Founding of the Theory of Transfinite Numbers Articles I and II HENRI LEBESGUE (1875-1941) 965 971 His Life and Work Selections from Integrate, Longeur, Aire (Intergral, Length, Area) 1041 1046 IX CONTENTS KURT GÖDEL (1906-1978) His Life and Work On Formally Undecidable Propositions of Principia Mathematica and Related Systems ALAN MATHISON TURING (1912-1954) 1089 1097 His Life and Work 1119 On computable numbers with an application to the Entscheidungsproblem, Proceedings of the London Mathematical Society 1127 X

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