Journey Through Genius: The Great Theorems of Mathematics

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9780471500308: Journey Through Genius: The Great Theorems of Mathematics
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Praise for William Dunham s Journey Through Genius The Great Theorems of Mathematics "Dunham deftly guides the reader through the verbal and logical intricacies of major mathematical questions and proofs, conveying a splendid sense of how the greatest mathematicians from ancient to modern times presented their arguments." Ivars Peterson Author, The Mathematical Tourist Mathematics and Physics Editor, Science News

"It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash." Isaac Asimov

"It is a captivating collection of essays of major mathematical achievements brought to life by the personal and historical anecdotes which the author has skillfully woven into the text. This is a book which should find its place on the bookshelf of anyone interested in science and the scientists who create it." R. L. Graham, AT&T Bell Laboratories

"Come on a time-machine tour through 2,300 years in which Dunham drops in on some of the greatest mathematicians in history. Almost as if we chat over tea and crumpets, we get to know them and their ideas ideas that ring with eternity and that offer glimpses into the often veiled beauty of mathematics and logic. And all the while we marvel, hoping that the tour will not stop." Jearl Walker, Physics Department, Cleveland State University Author of The Flying Circus of Physics

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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.

From the Inside Flap:

There is a remarkable permanence about mathematical ideas. Whereas other scientific disciplines regularly discard the old and outmoded, in mathematics new results build upon their predecessors without rendering them obsolete. The astronomical theories and medical practices of the Alexandrian Greeks, works of undisputed genius in their day, have long since become archaic curios. Yet Euclid’s proof of the Pythagorean theorem, set forth in 300 B.C., has lost none of its beauty or validity with the passage of time. A theorem, correctly proved within the rigors of logic, is a theorem forever. Journey Through Genius explores some of the most significant and enduring ideas in mathematics: the great theorems, discoveries of beauty and insight that stand today as monuments to the human intellect. Writing with extraordinary clarity, wit, and enthusiasm, Professor William Dunham takes us on a fascinating journey through the intricate reasoning of these masterworks and the often turbulent lives and times of their creators. Along with the essential mathematics, Professor Dunham uniquely captures the humanity of these great mathematicians. You’ll meet Archimedes of Syracuse, who pushed mathematics to frontiers that would stand some 1,500 years. Unchallenged as the greatest mathematician of antiquity, Archimedes was the stereotypically "absent minded" mathematician, capable of forgetting to eat or bathe while at work on a problem. From the sixteenth century you’ll encounter Gerolamo Cardano, whose mathematical accomplishments provide a fascinating counterpoint to his extraordinary misadventures. In the next century, there appeared the competitive, bickering Bernoulli brothers, who explored the arcane world of infinite series when not engaged in contentious wrangling with one another. And from more modern times you’ll read of the paranoid genius of Georg Cantor, who had the ability and courage to make a frontal assault on that most challenging of mathematical ideas—the infinite. Journey Through Genius is a rare combination of the historical, biographical, and mathematical. Readers will find the history engaging and fast-paced, the mathematics presented in careful steps. Indeed, those who keep paper, pencil, and straightedge nearby will find themselves rewarded by a deeper understanding and appreciation of these powerful discoveries. Regardless of one’s mathematical facility, all readers will come away from this exhilarating book with a keen sense of the majesty and power, the creativity and genius of these mathematical masterpieces.

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Book Description John Wiley and Sons Ltd, United States, 1990. Hardback. Condition: New. Language: English . Brand New Book. Praise for William Dunham s Journey Through Genius The Great Theorems of Mathematics Dunham deftly guides the reader through the verbal and logical intricacies of major mathematical questions and proofs, conveying a splendid sense of how the greatest mathematicians from ancient to modern times presented their arguments. Ivars Peterson Author, The Mathematical Tourist Mathematics and Physics Editor, Science News It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash. Isaac Asimov It is a captivating collection of essays of major mathematical achievements brought to life by the personal and historical anecdotes which the author has skillfully woven into the text. This is a book which should find its place on the bookshelf of anyone interested in science and the scientists who create it. R. L. Graham, ATT Bell Laboratories Come on a time-machine tour through 2,300 years in which Dunham drops in on some of the greatest mathematicians in history. Almost as if we chat over tea and crumpets, we get to know them and their ideas ideas that ring with eternity and that offer glimpses into the often veiled beauty of mathematics and logic. And all the while we marvel, hoping that the tour will not stop. Jearl Walker, Physics Department, Cleveland State University Author of The Flying Circus of Physics. Seller Inventory # AAS9780471500308

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Book Description John Wiley and Sons Ltd, United States, 1990. Hardback. Condition: New. Language: English . Brand New Book. Praise for William Dunham s Journey Through Genius The Great Theorems of Mathematics Dunham deftly guides the reader through the verbal and logical intricacies of major mathematical questions and proofs, conveying a splendid sense of how the greatest mathematicians from ancient to modern times presented their arguments. Ivars Peterson Author, The Mathematical Tourist Mathematics and Physics Editor, Science News It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash. Isaac Asimov It is a captivating collection of essays of major mathematical achievements brought to life by the personal and historical anecdotes which the author has skillfully woven into the text. This is a book which should find its place on the bookshelf of anyone interested in science and the scientists who create it. R. L. Graham, ATT Bell Laboratories Come on a time-machine tour through 2,300 years in which Dunham drops in on some of the greatest mathematicians in history. Almost as if we chat over tea and crumpets, we get to know them and their ideas ideas that ring with eternity and that offer glimpses into the often veiled beauty of mathematics and logic. And all the while we marvel, hoping that the tour will not stop. Jearl Walker, Physics Department, Cleveland State University Author of The Flying Circus of Physics. Seller Inventory # AAS9780471500308

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Book Description Wiley, 1990. Condition: New. 1990. 1st Edition. Hardcover. Praise for William Dunham s Journey Through Genius The Great Theorems of Mathematics "Dunham deftly guides the reader through the verbal and logical intricacies of major mathematical questions and proofs, conveying a splendid sense of how the greatest mathematicians from ancient to modern times presented their arguments. Num Pages: 320 pages, illustrations; portraits. BIC Classification: PBB; PBC. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 230 x 158 x 28. Weight in Grams: 638. . . . . . . Seller Inventory # V9780471500308

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