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The Calculus Gallery Masterpieces from Newton to Lebesguetqw_darksiderg

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The Calculus Gallery: Masterpieces from Newton to Lebesgue
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Type.................: Ebook
Part Size............: 8,352,067 bytes

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Posted by............: ~tqw~

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Release Notes
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More than three centuries after its creation, calculus remains a dazzling
intellectual achievement and the gateway into higher mathematics. This book
charts its growth and development by sampling from the work of some of its
foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm
Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the
dawn of the twentieth--mathematicians whose achievements are comparable to those
of Bach in music or Shakespeare in literature. William Dunham lucidly presents
the definitions, theorems, and proofs. "Students of literature read Shakespeare;
students of music listen to Bach," he writes. But this tradition of studying the
major works of the "masters" is, if not wholly absent, certainly uncommon in
mathematics. This book seeks to redress that situation.

Table Of Contents

Ch. 1 Newton 5
Ch. 2 Leibniz 20
Ch. 3 The Bernoullis 35
Ch. 4 Euler 52
Ch. 5 First interlude 69
Ch. 6 Cauchy 76
Ch. 7 Riemann 96
Ch. 8 Liouville 116
Ch. 9 Weierstrass 128
Ch. 10 Second interlude 149
Ch. 11 Cantor 158
Ch. 12 Volterra 170
Ch. 13 Baire 183
Ch. 14 Lebesgue 200

Product Details

* ISBN: 0691095655
* ISBN-13: 9780691095653
* Format: Hardcover, 256pp
* Publisher: Princeton University Press
* Pub. Date: February 2005

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