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## The Calculus Gallery: Masterpieces from Newton to Lebesgue (Hardback)"What a fine resource! All of the famous functions that have shaped calculus and analysis parade before the reader in the original words of their creators. Bill Dunham has produced an excellent volume that teachers and students will enjoy and appreciate." — Thomas Banchoff, Brown University ## $14.39 |

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Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** The book itself is in excellent, like-new condition. The book’s dust jacket is in very good condition, with slightly bent ends. Adding to its overall value is the fact that it is printed on acid-free paper.

## Description

From the dust jacket: “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. 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.

“Lie a great museum, *The Calculus Gallery* is filled with masterpieces, among which are Bernoulli’s early attack upon the harmonic series (1689), Euler’s brilliant approximation of π (1779), Cauchy’s classic proof of the fundamental theorem of calculus (1823), Weierstrass’s mind-boggling counterexample (1872), and Baire’s original ‘category theorem’ (1899). Collectively, these selections document the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching—a story of genius triumphing over some of the toughest, subtlest problems imaginable.

“Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring *The Calculus Gallery*, we can see how it all came to be.”

**BRIEF CONTENTS**

- Illustrations
- Acknowledgments
- Introduction
- Chapter 1 – Newton
- Chapter 2 – Leibniz
- Chapter 3 – The Bernoullis
- Chapter 4 – Euler
- Chapter 5 – First Interlude
- Chapter 6 – Cauchy
- Chapter 7 – Riemann
- Chapter 8 – Liouville
- Chapter 9 – Weierstrass
- Chapter 10 – Second Interlude
- Chapter 11 – Cantor
- Chapter 12 – Volterra
- Chapter 13 – Baire
- Chapter 14 – Lebesgue
- Afterword
- Notes
- Index

## Details

- SKU:
- 1856
- Author:
- Dunham, William
- Publisher:
- Princeton University Press
- Publish Date:
- 2005
- Format:
- Hardback with Dust Jacket
- Weight (pounds):
- 1.1
- Dimensions (W”xL”xH”):
- 6.3″x9.5″x0.8″
- ISBN-13:
- 9780691095653
- ISBN-10:
- 0691095655

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