God created the integers : 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...
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| Language: | English |
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Philadelphia, Pa. :
Running Press,
©2005.
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Table of Contents:
- 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.