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Analysis by Its History (Undergraduate Texts in Mathematics)by Gerhard Wanner
Synopses & Reviews
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.
Includes bibliographical references (p. -365) and indexes.
Table of Contents
Preface.- Introduction to Analysis of the Infinite.- Differential and Integral Calculus.- Foundations of Classical Analysis.- Calculus in Several Variables.- Appendix.- References.- Symbol Index.- Index.
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