Analysis by Its History (Undergraduate Texts in Mathematics)

by Ernst Hairer and Gerhard Wanner

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This book presents first-year calculus roughly in the order in which it was first discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. Many quotations are included to give the flavor of the history. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers.

  • ISBN13 9780387770314
  • Publish Date 2 June 2008 (first published 5 September 2000)
  • Publish Status Active
  • Publish Country US
  • Imprint Springer-Verlag New York Inc.
  • Edition 1st ed. 1996. 2nd printing 2008
  • Format Paperback
  • Pages 379
  • Language English