Series and Products in the Development of Mathematics: Volume 2

ISBN-13: 9781108709378 / Angielski / Miękka / 2021 / 476 str.

Wisconsin) Roy Ranjan (Beloit College

Opis

This second edition of Sources in the Development of Mathematics, now in two volumes, traces the development of series and products from 1380-2000 through the interconnected concepts and results of unsung and celebrated mathematicians. This second volume treats more advanced topics, with extensive added context, detail, and primary source material.

Recenzje

'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

Spis treści

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.