Series and products in the development of mathematics
著者
書誌事項
Series and products in the development of mathematics
Cambridge University Press, 2021
2nd ed
- v.2
- タイトル別名
-
Sources in the development of mathematics
- 統一タイトル
-
Sources in the development of mathematics
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注記
"First published as Sources in the Development of Mathematics, 2011" -- T.p.verso
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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.
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