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Author:   A.N. Kolmogorov ,  A. Shenitzer ,  A.P. Yushkevich ,  H. Grant
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2nd rev. ed.
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   0.680kg
ISBN:  

9783764364410

ISBN 10:   3764364416
Pages:   308
Publication Date:   01 March 2001
Audience:   College/higher education ,  Professional and scholarly ,  General/trade ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

One Mathematical Logic.- The Prehistory of Mathematical Logic.- Leibniz’s Symbolic Logic.- The Quantification of a Predicate.- The “Formal Logic” of A. De Morgan.- Boole’s Algebra of Logic.- Jevons’ Algebra of Logic.- Venn’s Symbolic Logic.- Schröder’s and Poretski-’s Logical Algebra.- Conclusion.- Two Algebra and Algebraic Number Theory.- 1 Survey of the Evolution of Algebra and of the Theory of Algebraic Numbers During the Period of 1800-1870.- 2 The Evolution of Algebra.- 3 The Theory of Algebraic Numbers and the Beginnings of Commutative Algebra.- Three Problems of Number Theory.- 1 The Arithmetic Theory of Quadratic Forms.- 2 Geometry of Numbers.- 3 Analytic Methods in Number Theory.- 4 Transcendental Numbers.- Four The Theory of Probability.- Laplace’s Theory of Probability.- Laplace’s Theory of Errors.- Gauss’ Contribution to the Theory of Probability.- The contributions of Poisson and Cauchy.- Social and Anthropometric Statistics.- The Russian School of the Theory of Probability. P.L. Chebyshev.- New Fields of Application of the Theory of Probability. The Rise of Mathematical Statistics.- Works of the Second Half of the 19th Century in Western Europe.- Conclusion.- Addendum.- 1. French and German Quotations.- 2. Notes.- 3. Additional Bibliography.- Bibliography (by F.A. Medvedev).- Abbreviations.- Index of Names.

Reviews

"""...The book, indispensable for historians of mathematics, can be warmly recommended to every working mathematician."" --EMS Newsletter (on the first edition)"

...The book, indispensable for historians of mathematics, can be warmly recommended to every working mathematician. --EMS Newsletter (on the first edition)

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