William Dunham

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English

The Calculus Gallery: Masterpieces From Newton To Lebesgue
by William Dunham

ISBN 0691136262 (0-691-13626-2)
Softcover, Princeton Univ Pr

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Book summary:
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.
Like 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 pi (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, most subtle 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.
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More editions of The Calculus Gallery: Masterpieces From Newton To Lebesgue:
- The Calculus Gallery: Masterpieces From Newton To Lebesgue: ISBN 0691095655 (0-691-09565-5)
  Hardcover, Princeton Univ Pr
- The Calculus Gallery: Masterpieces From Newton To Lebesgue: ISBN 0691136262 (0-691-13626-2)
  Softcover, Princeton Univ Pr
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Euler the Master of Us All: The Master of Us All
by William Dunham

ISBN 0883853280 (0-88385-328-0)
Softcover, Mathematical Assn of Amer

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Book summary:
Leonhard Euler was one of the most prolific mathematicians that have ever lived. This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler's work. [via]
More editions of Euler the Master of Us All: The Master of Us All:
- Euler the Master of Us All: The Master of Us All: ISBN 0883853280 (0-88385-328-0)
  Softcover, Mathematical Assn of Amer
The Genius of Euler: Reflections on His Life and Work
by William Dunham

ISBN 0883855585 (0-88385-558-5)
Hardcover, Mathematical Assn of Amer

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More editions of The Genius of Euler: Reflections on His Life and Work:
- The Genius of Euler: Reflections on His Life and Work: ISBN 0883855585 (0-88385-558-5)
  Hardcover, Mathematical Assn of Amer
Journey Through Genius: The Great Theorems of Mathematics
by William Dunham

ISBN 014014739X (0-14-014739-X)
Softcover, Penguin Group USA

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Book summary:
In Journey through Genius, author William Dunham strikes an extraordinary balance between the historical and technical. He devotes each chapter to a principal result of mathematics, such as the solution of the cubic series and the divergence of the harmonic series. Not only does this book tell the stories of the people behind the math, but it also includes discussions and rigorous proofs of the relevant mathematical results. [via]
More editions of Journey Through Genius: The Great Theorems of Mathematics:
- Journey Through Genius: The Great Theorems of Mathematics: ISBN 0471500305 (0-471-50030-5)
  Hardcover, John Wiley & Sons Inc
- Journey Through Genius: The Great Theorems of Mathematics: ISBN 014014739X (0-14-014739-X)
  Softcover, Penguin Group USA
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The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities
by William Dunham

ISBN 0471176613 (0-471-17661-3)
Softcover, John Wiley & Sons Inc

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Book summary:
The Mathematical Universe is a solid collection of short essays, with each addressing a particular mathematical topic. Titles range from "Isoperimetric Problem" to "Where Are the Women?" Author Dunham is unafraid to refer to diagrams, equations, and rigorous arguments throughout the book, yet he manages to maintain a conversational tone. [via]
More editions of The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities:
- The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities: ISBN 0471536563 (0-471-53656-3)
  Hardcover, John Wiley & Sons Inc
- The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities: ISBN 0471176613 (0-471-17661-3)
  Softcover, John Wiley & Sons Inc