Portland Public Library

God created the integers, the mathematical breakthroughs that changed history, edited, with commentary, by Stephen Hawking

eng

Includes bibliographical references

collective biography

illustrations

no index present

non fiction

God created the integers

bibliography

62121812

edited, with commentary, by Stephen Hawking

the mathematical breakthroughs that changed history

Includes works by : Euclid, Archimedes, Diophantus, Rene Descartes, Isaac Newton, Pierre Simon De LaPlace, Jean Baptiste Joseph Fourier, Carl Friedrich Gauss, Augustin-Louis Cauchy, George Boole, Georg Friedrich Bernhard Riemann, Karl Weierstrass, Richard Julius Wilhelm Dedekind, Georg Cantor, Henri Lebesgue, Kurt Godel, Alan Mathison Turing

Euclid (c. 325 BC - 265 BC) : His life and work : Selections from Euclid's Elements : Book 1: basic geometry - definitions, postulates, common notions and proposition 47 (leading up to the Pythagorean theorem) ; Book V: the eudoxian theory of proportion - definitions & 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 (287 BC - 212 BC) : 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 -- Rene Descartes (1596 - 1650) : His life and work : The geometry of Rene Descartes -- Isaac Newton (1642 - 1727) : His life and work : Selections from principia : Book I: of the motion of bodies -- Pierre Simon de Laplace (1749 - 1827) : His life and work : A philosophical essay on probabilities -- Jean Baptiste Joseph Fourier (1768 - 1830) : 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) : His life and work : Selections from disquisitiones arithmeticae (arithmetic disquisitions) : Section III residues of powers ; Section IV congruences of the second degree -- Augustin-Louis Cauchy (1789 - 1857) : His life and work : Selection from oeuvres completes d'Augustin Cauchy : Resume des lecons donnees a l'ecole royale Polytechnique sur le calcul infinitesimal (1823), series 2, vol. 4 :Lessons 3-4 on differential calculus ; Lessons 21-24 on the integral -- George Boole (1815 - 1864) : His life and work : An investigation of the laws of thought -- Georg Friedrich Bernhard Riemann (1826 - 1866) : His life and work : On the representability of a function by means of a trigonometric series (ueber die darstellbarkeit einer function durch einer trigonometrische reihe) ; On the hypotheses which lie at the bases of geometry (ueber die hypothesen welche der geometrie zu grunde liegen) ; On the number of prime numbers less than a given quantity (ueber di anzahl of primzahlen unter eine gegeben grosse) -- 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 (gleichmassige stetigkeit) -- Richard Julius Wilhelm Dedekind ( 1831 - 1916) : His life and work : Essays on the theory of numbers -- Georg Cantor (1845 - 1918) : His life and work : Selections from contributions to the founding of the theory of transfinite numbers : Articles I and II -- Henri Lebesgue (1875 - 1941) : His life and work : Selections from integrale, longeur, aire (integral, length, area) -- Kurt Godel (1906 - 1978) : His life and work : On formally undecidable propositions of principia mathematica and related systems -- Alan Mathison Turing (1912 - 1954) : His life and work : On computable numbers with an application to the entscheidungsproblem, proceedings of the London mathematical society