Series and Products in the Development of Mathematics: Volume 2
eBook - PDF

Series and Products in the Development of Mathematics: Volume 2

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Series and Products in the Development of Mathematics: Volume 2

About this book

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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Yes, you can access Series and Products in the Development of Mathematics: Volume 2 by Ranjan Roy in PDF and/or ePUB format, as well as other popular books in Mathematics & History & Philosophy of Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Frontispiece
  4. Title page
  5. Copyright information
  6. Contents
  7. Contents of Volume 1
  8. Preface
  9. 25 q-Series
  10. 26 Partitions
  11. 27 q-Series and q-Orthogonal Polynomials
  12. 28 Dirichlet L-Series
  13. 29 Primes in Arithmetic Progressions
  14. 30 Distribution of Primes: Early Results
  15. 31 Invariant Theory: Cayley and Sylvester
  16. 32 Summability
  17. 33 Elliptic Functions: Eighteenth Century
  18. 34 Elliptic Functions: Nineteenth Century
  19. 35 Irrational and Transcendental Numbers
  20. 36 Value Distribution Theory
  21. 37 Univalent Functions
  22. 38 Finite Fields
  23. Bibliography
  24. Index