Journey Through Genius

Author: William Dunham
Publisher: Egully.com
ISBN:
Size: 37.91 MB
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A rare combination of the historical, biographical, and mathematicalgenius, this book is a fascinating introduction to a neglected field of human creativity. Dunham places mathematical theorem, along with masterpieces of art, music, and literature and gives them the attention they deserve.

The Calculus Gallery

Author: William Dunham
Publisher: Princeton University Press
ISBN: 9780691095653
Size: 31.77 MB
Format: PDF, Kindle
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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.

The Mathematical Universe

Author: William Dunham
Publisher: Wiley
ISBN:
Size: 50.92 MB
Format: PDF, ePub
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Travels through mathematical concepts from Arithmetic to Zero to explore the wonders of the Fibonacci series, Russell's Paradox, and the theory of Pythagorus, in a witty and enthusiastic investigation of the great proofs, conundrums, disputes, and solutions in mathematics today.

Crc Concise Encyclopedia Of Mathematics

Author: Eric W. Weisstein
Publisher: CRC Press
ISBN: 1420035223
Size: 29.43 MB
Format: PDF, ePub
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Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Higher Mathematics For Science Technology And Engineering

Author: S. G. Ahmed
Publisher: Bentham Science Publishers
ISBN: 1681082810
Size: 67.28 MB
Format: PDF, Docs
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Higher Mathematics for Science, Technology and Engineering is a textbook for undergraduate and postgraduate students undertaking science, technology, engineering and mathematics (STEM) courses. The book begins with an introduction to one variable functions, followed by chapters covering functional derivatives, partial differentiation, integrals, matrices and determinant theory, partial fractions and much more. Key features of this textbook include: -simple, easy-to-understand explanations of relevant concepts -a wide range of simple and complex examples -several figures where appropriate

Creators Of Mathematical And Computational Sciences

Author: Ravi P Agarwal
Publisher: Springer
ISBN: 3319108700
Size: 15.63 MB
Format: PDF, Docs
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​The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.

Mathematics Frontiers

Author: Michael J. Bradley
Publisher: Infobase Publishing
ISBN: 0791097226
Size: 13.28 MB
Format: PDF, Mobi
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1089 And All That

Author: David Acheson
Publisher: Oxford University Press, USA
ISBN: 9780198516231
Size: 19.48 MB
Format: PDF, Docs
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This excellent book, written by the established author David Acheson, makes mathematics accessible to everyone. Providing an entertaining and witty overview of the subject, the text includes several fascinating puzzles, and is accompanied by numerous illustrations and sketches by world famouscartoonists. This unusual book is one of the most readable explanations of mathematics available.

Perfect Rigor

Author: Masha Gessen
Publisher: Houghton Mifflin Harcourt
ISBN: 0547427565
Size: 38.60 MB
Format: PDF, ePub
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A gripping and tragic tale that sheds rare light on the unique burden of genius In 2006, an eccentric Russian mathematician named Grigori Perelman solved the Poincare Conjecture, an extremely complex topological problem that had eluded the best minds for over a century. A prize of one million dollars was offered to anyone who could unravel it, but Perelman declined the winnings, and in doing so inspired journalist Masha Gessen to tell his story. Drawing on interviews with Perelman’s teachers, classmates, coaches, teammates, and colleagues in Russia and the United States—and informed by her own background as a math whiz raised in Russia—Gessen uncovered a mind of unrivaled computational power, one that enabled Perelman to pursue mathematical concepts to their logical (sometimes distant) end. But she also discovered that this very strength turned out to be Perelman's undoing and the reason for his withdrawal, first from the world of mathematics and then, increasingly, from the world in general.