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God created the integers : the mathematical breakthroughs that changed history

Autor: Stephen Hawking
Verlag: Philadelphia, Pa. : Running Press, ©2005.
Ausgabe/Medienart   Gedrucktes Buch : Biografie : EnglischAlle Ausgaben und Medienarten anzeigen
Zusammenfassung:
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.
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Gattung/Form: Biography
History
Medienart: Biografie
Dokumenttyp Buch
Alle Autoren: Stephen Hawking
ISBN: 0762419229 9780762419227 014101878X 9780141018782
OCLC-Nummer: 62121812
Beschreibung: xiii, 1160 pages ; 24 cm
Inhalt: Introduction --
[pt. 1]. 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 --
[pt. 2]. 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 --
The sand reckoner --
The methods --
[pt. 3]. 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. 4]. René Descartes (1596-1650) : His life and work --
The geometry of Rene Descartes --
[pt. 5]. Isaac Newton (1642-1727) : His life and work --
Selections from Principia --
Book 1 : Of the motion of bodies --
[pt. 6]. Pierre Simon de Laplace (1749-1827) : His life and work --
A philosophical essay on probabilities --
[pt. 7]. 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) --
[pt. 8]. 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 --
[pt. 9]. 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. 10]. George Boole (1815-1864) : His life and work --
An investigation of the laws of thought --
[pt. 11]. 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) --
[pt. 12]. 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) --
[pt. 13]. Richard Julius Wilhelm Dedekind (1831-1916) : His life and work --
Essays on the theory of numbers --
[pt. 14]. 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. 15]. Henri Lebesgue (1875-1941) : His life and work --
Selections from Integrale, Longueur, Aire (Integral, Length, Area) --
[pt. 16]. Kurt Gödel (1906-1978) : His life and work --
On formally undecidable propositions of principia mathematics and related systems --
[pt. 17]. Alan Mathison Turing (1912-1954) : His life and work --
On computable numbers with an application to the entscheidungsproblem, proceedings of the London Mathematical Society.
Verfasserangabe: edited, with commentary, by Stephen Hawking.

Abstract:

Bestselling author and physicist Hawking explores the "masterpieces" of mathematics, 25 landmarks spanning 2,500 years and representing the work of 15 mathematicians, including Augustin Cauchy,  Weiterlesen…

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"God created the integers, all the rest is the work of man."

 
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