Analysis by its history
著者
書誌事項
Analysis by its history
（Undergraduate texts in mathematics, . Readings in mathematics）
Springer, c2008
- : pbk
- : [hardcover]
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注記
"Preface to the 2nd, 3rd, and 4th corrected printings ... March 1997, April 2000, Sept 2007."--Pref
Includes bibliographical references (p. [358]-368) and indexes
Size of hardcover: 25 cm
内容説明・目次
内容説明
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.
目次
to Analysis of the Infinite.- Differential and Integral Calculus.- Foundations of Classical Analysis.- Calculus in Several Variables.
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