Series and products in the development of mathematics 2 Series and products in the development of mathematics Volume 2 Second Edition by Ranjan Roy 9781108573153 1108573150

Series and products in the development of mathematics 2 Series and products in the development of mathematics Volume 2 Second Edition Ranjan Roy – Ebook Instant Download/Delivery ISBN(s): 9781108709378, 1108709370, 9781108573153, 1108573150

Product details:

• ISBN 10: 1108573150
• ISBN 13: 9781108573153
• Author: Ranjan Roy 

This is the second volume of a two-volume work that traces the development of series and products from 1380 to 2000 by presenting and explaining the interconnected concepts and results of hundreds of unsung as well as celebrated mathematicians. Some chapters deal with the work of primarily one mathematician on a pivotal topic, and other chapters chronicle the progress over time of a given topic. This updated second edition of Sources in the Development of Mathematics adds extensive context, detail, and primary source material, with many sections rewritten to more clearly reveal the significance of key developments and arguments. Volume 1, accessible even to advanced undergraduate students, discusses the development of the methods in series and products that do not employ complex analytic methods or sophisticated machinery. Volume 2 examines more recent results, including deBranges’ resolution of Bieberbach’s conjecture and Nevanlinna’s theory of meromorphic functions.

Table contents:

25 q-Series

26 Partitions

27 q-Series and q-Orthogonal Polynomials

28 Dirichlet L-Series

29 Primes in Arithmetic Progressions

30 Distribution of Primes: Early Results

31 Invariant Theory: Cayley and Sylvester

32 Summability

33 Elliptic Functions: Eighteenth Century

34 Elliptic Functions: Nineteenth Century

35 Irrational and Transcendental Numbers

36 Value Distribution TheoryFunctions

38 Finite Fields

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