The Calculus Gallery : : Masterpieces from Newton to Lebesgue / / William Dunham.

More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to 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 Lei...

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Superior document:Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2018]
©2019
Year of Publication:2018
Language:English
Series:Princeton Science Library ; 60
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Physical Description:1 online resource (256 p.)
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Other title:Frontmatter --
Contents --
Illustrations --
Acknowledgments --
Preface to the Princeton Science Library Edition --
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
Summary:More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to 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. Now with a new preface by the author, this book documents 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. In touring The Calculus Gallery, we can see how it all came to be.
Format:Mode of access: Internet via World Wide Web.
ISBN:9780691184548
9783110604252
9783110603255
9783110604191
9783110603194
DOI:10.1515/9780691184548?locatt=mode:legacy
Access:restricted access
Hierarchical level:Monograph
Statement of Responsibility: William Dunham.