Series and Products in the Development of Mathematics: Volume 2
2nd Edition
Published on 3. March 2021
978-1-108-57315-3 (ISBN)
Description
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.
Reviews / Votes
'Roy is well-known for useful scholarship. This book continues his record.' Robert E. O'Malley, University of Washington 'I often turn to Ranjan Roy for his wide-ranging works on series, both historical and contemporary. His writing is meticulous and a pleasure to read. These volumes can be used to engage undergraduates in the exploration of mathematics through its history and as a resource for anyone working in mathematics.' David M. Bressoud, Director, Conference Board of the Mathematical SciencesMore details
Edition
2nd Revised edition
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
College/higher education
Edition type
Revised edition
Illustrations
Worked examples or Exercises
File size
12,86 MB
ISBN-13
978-1-108-57315-3 (9781108573153)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Book
03/2021
2nd Edition
Cambridge University Press
€73.40
Shipment within 15-20 days
Person
Content
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 theory; 37. Univalent functions; 38. Finite fields; Bibliography; Index.
