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Series and Products in the Development of Mathematics: Volume 2

Autor Ranjan Roy
en Limba Engleză Paperback – 17 mar 2021
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.
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Specificații

ISBN-13: 9781108709378
ISBN-10: 1108709370
Pagini: 476
Dimensiuni: 176 x 253 x 26 mm
Greutate: 0.91 kg
Ediția:2Revizuită
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:New York, United States

Cuprins

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.

Recenzii

'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 Sciences

Notă biografică


Descriere

Second of two volumes tracing the development of series and products. Second edition adds extensive material from original works.