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The Real and the Complex: A History of Analysis in the 19th Century

  • Jeremy Gray

Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Jeremy Gray
    Pages 13-19
  3. Jeremy Gray
    Pages 21-31
  4. Jeremy Gray
    Pages 33-48
  5. Jeremy Gray
    Pages 49-57
  6. Jeremy Gray
    Pages 59-68
  7. Jeremy Gray
    Pages 69-77
  8. Jeremy Gray
    Pages 79-93
  9. Jeremy Gray
    Pages 95-104
  10. Jeremy Gray
    Pages 115-122
  11. Jeremy Gray
    Pages 123-129
  12. Jeremy Gray
    Pages 131-141
  13. Jeremy Gray
    Pages 153-163
  14. Jeremy Gray
    Pages 165-174
  15. Jeremy Gray
    Pages 175-184
  16. Jeremy Gray
    Pages 185-194
  17. Jeremy Gray
    Pages 195-206
  18. Jeremy Gray
    Pages 207-216
  19. Jeremy Gray
    Pages 217-218
  20. Jeremy Gray
    Pages 219-226
  21. Jeremy Gray
    Pages 227-237
  22. Jeremy Gray
    Pages 239-251
  23. Jeremy Gray
    Pages 253-258
  24. Jeremy Gray
    Pages 259-269
  25. Jeremy Gray
    Pages 271-281
  26. Jeremy Gray
    Pages 283-288
  27. Jeremy Gray
    Pages 289-294
  28. Jeremy Gray
    Pages 295-296
  29. Back Matter
    Pages 297-350

About this book

Introduction

This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis. It studies the works of many contributors including Gauss, Cauchy, Riemann, and Weierstrass.

This book is unique owing to the treatment of real and complex analysis as overlapping, inter-related subjects, in keeping with how they were seen at the time. It is suitable as a course in the history of mathematics for students who have studied an introductory course in analysis, and will enrich any course in undergraduate real or complex analysis.

Keywords

Complex Analysis Continuity Differentiation History of Mathematics Integration Real Analysis

Authors and affiliations

  • Jeremy Gray
    • 1
  1. 1.Department of Mathematics and StatisticsThe Open UniversityMilton KeynesUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-23715-2
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-23714-5
  • Online ISBN 978-3-319-23715-2
  • Series Print ISSN 1615-2085
  • Series Online ISSN 2197-4144
  • Buy this book on publisher's site
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