Sets and integration An outline of the development

Sets and integration An outline of the development

by D. van Dalen

Paperback(Softcover reprint of the original 1st ed. 1972)

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Product Details

ISBN-13: 9789401027205
Publisher: Springer Netherlands
Publication date: 10/13/2011
Edition description: Softcover reprint of the original 1st ed. 1972
Pages: 162
Product dimensions: 6.69(w) x 9.61(h) x 0.01(d)

Table of Contents

Set theory from Cantor to Cohen.- Forebodings.- The exploration of the new continent.- The paradoxes.- The axiom of choice.- Zermelo takes over.- Making inconsistent sets respectable.- The consistency of the axiom of choice and the continuum hypothesis.- The independence of the continuum hypothesis.- Large cardinals.- Games and strategies.- The integral from Riemann to Bourbaki.- Introduction; the period before Riemann.- Greek mathematics.- Seventeenth century.- Leibniz and Newton.- Riemann, Lebesgue, real functions.- Riemann.- Measure theory.- Lebesgue.- More about Lebesgue.- Controversies.- Real functions.- Denjoy.- Perron.- Further developments.- Modern theory of the integral.- Integrals as linear functions.- Generalizations.- Carathéodory.- Haar-measure.- List of Mathematicians.

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