Analysis by Its History (eBook, PDF) - Hairer, Ernst; Wanner, Gerhard
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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…mehr

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Produktbeschreibung
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.


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  • Produktdetails
  • Verlag: Springer-Verlag GmbH
  • Seitenzahl: 379
  • Erscheinungstermin: 30.05.2008
  • Englisch
  • ISBN-13: 9780387770369
  • Artikelnr.: 43730325
Autorenporträt
Gerhard Wanner is the former President of Section VII of the Swiss Academy of Natural Sciences, former Head of Department of Mathematics at the University of Geneva, and former President of the Swiss Mathematical Society. He is the author of several books.
Inhaltsangabe
to Analysis of the Infinite.- Differential and Integral Calculus.- Foundations of Classical Analysis.- Calculus in Several Variables.
Rezensionen
"...well done, attractively designed...And above all, it proposes an interesting approach to teaching analysis." Internationale Mathematische Nachrichten