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The Calculus Gallery : Masterpieces from Newton to Lebesgue.

By: Dunham, William.
Material type: materialTypeLabelBookSeries: Princeton science library: Publisher: Princeton : Princeton University Press, 2018Description: 1 online resource (257 pages).Content type: text Media type: computer Carrier type: online resourceISBN: 9780691184548; 0691184542.Subject(s): Calculus -- History | Calcul infinit�esimal -- Histoire | MATHEMATICS -- Calculus | CalculusGenre/Form: Electronic books. | History.Additional physical formats: Print version:: Calculus Gallery : Masterpieces from Newton to Lebesgue.DDC classification: 515 Online resources: Click here to access online
Contents:
Cover; Title; Copyright; Dedication; 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.
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Cover; Title; Copyright; Dedication; 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.

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.

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