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Mathematics of the 19th Century: Vol. II: Geometry, Analytic Function Theory [Hardcover]

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Item description for Mathematics of the 19th Century: Vol. II: Geometry, Analytic Function Theory by Andrei N. Kolmogorov...

This book is the second volume of a study of the history of mathematics in the nineteenth century. The first part of the book describes the development of geometry. The many varieties of geometry are considered and three main themes are traced: the development of a theory of invariants and forms that determine certain geometric structures such as curves or surfaces; the enlargement of conceptions of space which led to non-Euclidean geometry; and the penetration of algebraic methods into geometry in connection with algebraic geometry and the geometry of transformation groups. The second part, on analytic function theory, shows how the work of mathematicians like Cauchy, Riemann and Weierstrass led to new ways of understanding functions. Drawing much of their inspiration from the study of algebraic functions and their integral, these mathematicians and others created a unified, yet comprehensive theory in which the original algebraic problems were subsumed in special areas devoted to elliptic, algebraic, Abelian and automorphic functions. The use of power series expansions made it possible to include completely general transcendental functions in the same theory and opened up the study of the very fertile subject of entire functions. This book will be a valuable source of information for the general reader, as well as historians of science. It provides the reader with a good understanding of the overall picture of these two areas in the nineteenth century and their significance today.

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Item Specifications...

Pages   308
Est. Packaging Dimensions:   Length: 9.3" Width: 6.6" Height: 0.8"
Weight:   1.45 lbs.
Binding  Hardcover
Release Date   May 30, 1996
Publisher   Birkhäuser Basel
ISBN  3764350482  
ISBN13  9783764350482  

Availability  143 units.
Availability accurate as of Oct 25, 2016 01:25.
Usually ships within one to two business days from La Vergne, TN.
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Product Categories

1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > General Geometry
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
4Books > Subjects > Science > General
5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Mathematics > Geometry & Topology > General Geometry
7Books > Subjects > Science > Mathematics > Mathematical Analysis
8Books > Subjects > Science > Mathematics > Pure Mathematics > Calculus

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