Series and Products in the Development of Mathematics
Series and Products in the Development of Mathematics
£50.99
GBPThis 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.
- New edition provides clarifying details from the original papers, additional mathematical context, more results, and includes nearly 500 new bibliographic entries
- Traces the origins of many ideas in areas of interest to applied mathematicians, scientists, and engineers
- Includes in-depth presentations and explanations of original proofs of important mathematical results by several hundred mathematicians, including at least sixty papers of Euler
- Organized by topic, chapters delineate the advancement of the topic over time, with original arguments and details, providing mathematical insight into the topic
- 100 exercises; hundreds of detailed proofs and examples within the text
Reviews & endorsements
'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
Product details
March 2021Paperback
9781108709378
476 pages
253 × 176 × 26 mm
0.89kg
Available
Table of 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 theory
- 37. Univalent functions
- 38. Finite fields
- Bibliography
- Index.
