God created the integers : the mathematical breakthroughs that changed history /
God created the integers : the mathematical breakthroughs that changed history /
Mathematical breakthroughs that changed history
edited, with commentary, by Stephen Hawking.
- xiii, 1160 pages ; 24 cm
Introduction -- Euclid (c.325 BC-265 BC) : His life and work -- Selections form Euclid's Elements -- Book 1 : Basic geometry - definitions, postulates, common notions and proposition 47 (leading up to the Pythagorean Theorem) -- Book 5 : The Eudoxian theory of proportion - definitions & propositions -- Book 7 : Elementary number theory - definitions & propositions -- Book 9 : Proposition 20 : The infinitude of prime numbers -- Book 10 : Commensurable and incommensurable magnitudes -- Archimedes (287 BC-212 BC) : His life and work -- Selections form The Works of Archimedes -- On the sphere and cylinder, book 1-- On the sphere and cylinder, book 2 -- Measurement of a circle -- sand reckoner -- methods -- Diophantus (third century AD) : His life and work -- Selections from Diophantus of Alexandria, A Study in the History of Greek Algebra -- Book 2 problems 8-35 -- Book 3 problems 5-21 -- Book 5 problems 1-29 -- [pt. 1]. [pt. 2]. The The [pt. 3]. René Descartes (1596-1650) : His life and work -- geometry of Rene Descartes -- Isaac Newton (1642-1727) : His life and work -- Selections from Principia -- Book 1 : Of the motion of bodies -- Pierre Simon de Laplace (1749-1827) : His life and work -- philosophical essay on probabilities -- Jean Baptiste Joseph Fourier (1768-1830) : His life and work -- Selection from The Analytical Theory of Heat -- Chapter 3 : 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 3 Residues of powers -- Section 4 Congruences of the second degree -- Augustin-Louis Cauchy (1789-1857) : His life and work -- Selection from Oeuvres complètes 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 -- [pt. 4]. The [pt. 5]. [pt. 6]. A [pt. 7]. [pt. 8]. [pt. 9]. George Boole (1815-1864) : His life and work -- investigation of the laws of thought -- George 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 -- 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) : 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 1 and 2 -- [pt. 10]. An [pt. 11]. [pt. 12]. A [pt. 13]. [pt. 14]. Henri Lebesgue (1875-1941) : His life and work -- Selections from Integrale, Longueur, Aire (Integral, Length, Area) -- Kurt Gödel (1906-1978) : His life and work -- On formally undecidable propositions of principia mathematics 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. [pt. 15]. [pt. 16]. [pt. 17].
0762419229 9780762419227
2005924493
Mathematics.
Mathematics--History.
Mathematicians--Biography
QA21 / .G63 2005
510
Introduction -- Euclid (c.325 BC-265 BC) : His life and work -- Selections form Euclid's Elements -- Book 1 : Basic geometry - definitions, postulates, common notions and proposition 47 (leading up to the Pythagorean Theorem) -- Book 5 : The Eudoxian theory of proportion - definitions & propositions -- Book 7 : Elementary number theory - definitions & propositions -- Book 9 : Proposition 20 : The infinitude of prime numbers -- Book 10 : Commensurable and incommensurable magnitudes -- Archimedes (287 BC-212 BC) : His life and work -- Selections form The Works of Archimedes -- On the sphere and cylinder, book 1-- On the sphere and cylinder, book 2 -- Measurement of a circle -- sand reckoner -- methods -- Diophantus (third century AD) : His life and work -- Selections from Diophantus of Alexandria, A Study in the History of Greek Algebra -- Book 2 problems 8-35 -- Book 3 problems 5-21 -- Book 5 problems 1-29 -- [pt. 1]. [pt. 2]. The The [pt. 3]. René Descartes (1596-1650) : His life and work -- geometry of Rene Descartes -- Isaac Newton (1642-1727) : His life and work -- Selections from Principia -- Book 1 : Of the motion of bodies -- Pierre Simon de Laplace (1749-1827) : His life and work -- philosophical essay on probabilities -- Jean Baptiste Joseph Fourier (1768-1830) : His life and work -- Selection from The Analytical Theory of Heat -- Chapter 3 : 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 3 Residues of powers -- Section 4 Congruences of the second degree -- Augustin-Louis Cauchy (1789-1857) : His life and work -- Selection from Oeuvres complètes 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 -- [pt. 4]. The [pt. 5]. [pt. 6]. A [pt. 7]. [pt. 8]. [pt. 9]. George Boole (1815-1864) : His life and work -- investigation of the laws of thought -- George 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 -- 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) : 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 1 and 2 -- [pt. 10]. An [pt. 11]. [pt. 12]. A [pt. 13]. [pt. 14]. Henri Lebesgue (1875-1941) : His life and work -- Selections from Integrale, Longueur, Aire (Integral, Length, Area) -- Kurt Gödel (1906-1978) : His life and work -- On formally undecidable propositions of principia mathematics 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. [pt. 15]. [pt. 16]. [pt. 17].
0762419229 9780762419227
2005924493
Mathematics.
Mathematics--History.
Mathematicians--Biography
QA21 / .G63 2005
510