Journey Through Genius

Author: William Dunham

Publisher: Penguin Books


Category: Biography & Autobiography

Page: 300

View: 3786

Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. “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

The Mathematical Universe

Author: William Dunham

Publisher: Wiley

ISBN: 9780471176619

Category: Mathematics

Page: 320

View: 8224

"Dunham writes for nonspecialists, and they will enjoy his piquantanecdotes and amusing asides -- Booklist "Artfully, Dunham conducts a tour of the mathematical universe. . .he believes these ideas to be accessible to the audience he wantsto reach, and he writes so that they are." -- Nature "If you want to encourage anyone's interest in math, get them TheMathematical Universe." * New Scientist

The Calculus Gallery

Author: William Dunham

Publisher: Princeton University Press

ISBN: 0691184542

Category: Mathematics

Page: 256

View: 9819

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.

Euler: The Master of Us All

Author: William Dunham

Publisher: American Mathematical Soc.

ISBN: 1470458411

Category: Education

Page: 185

View: 4611

Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2008! 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.

The G. H. Hardy Reader

Author: Donald J. Albers,Gerald L. Alexanderson,William Dunham

Publisher: Cambridge University Press

ISBN: 1107135559

Category: Computers

Page: 380

View: 9264

G. H. Hardy (1877-1947) ranks among the great mathematicians of the twentieth century. He did essential research in number theory and analysis, held professorships at Cambridge and Oxford, wrote important textbooks as well as the classic A Mathematician's Apology, and famously collaborated with J. E. Littlewood and Srinivasa Ramanujan. Hardy was a colorful character with remarkable expository skills. This book is a feast of G. H. Hardy's writing. There are selections of his mathematical papers, his book reviews, his tributes to departed colleagues. Some articles are serious, whereas others display a wry sense of humor. And there are recollections by those who knew Hardy, along with biographical and mathematical pieces written explicitly for this collection. Fans of Hardy should find much here to like. And for those unfamiliar with his work, The G. H. Hardy Reader provides an introduction to this extraordinary individual.

Genius Denied

Author: Jan Davidson,Bob Davidson,Laura Vanderkam

Publisher: Simon and Schuster

ISBN: 1416595686

Category: Education

Page: 256

View: 660

With all the talk of failing schools these days, we forget that schools can fail their brightest students, too. We pledge to "leave no child behind," but in American schools today, thousands of gifted and talented students fall short of their potential. In Genius Denied, Jan and Bob Davidson describe the "quiet crisis" in education: gifted students spending their days in classrooms learning little beyond how to cope with boredom as they "relearn" material they've already mastered years before. This lack of challenge leads to frustration, underachievement, and even failure. Some gifted students become severely depressed. At a time when our country needs a deep intellectual talent pool, the squandering of these bright young minds is a national tragedy. There are hundreds of thousands of highly gifted children in the U.S. and millions more whose intelligence is above average, yet few receive the education they deserve. Many school districts have no gifted programs or offer only token enrichment classes. Education of the gifted is in this sorry state, say the Davidsons, because of indifference, lack of funding, and the pernicious notion that education should have a "leveling" effect, a one-size-fits-all concept that deliberately ignores the needs of the gifted. But all children are entitled to an appropriate education, insist the authors, those left behind as well as those who want to surge ahead. The Davidsons show parents and educators how to reach and challenge gifted students. They offer practical advice based on their experience as founders of a nonprofit organization that assists gifted children. They show parents how to become their children's advocates, how to win support for gifted students within the local schools, and when and how to go outside the school system. They discuss everything from acceleration ("skipping" a grade) to homeschooling and finding mentors for children. They tell stories of real parents and students who overcame poor schooling environments to discover the joy of learning. Genius Denied is an inspiring book that provides a beacon of hope for children at risk of losing their valuable gift of intellectual potential.

CRC Concise Encyclopedia of Mathematics

Author: Eric W. Weisstein

Publisher: CRC Press

ISBN: 1420035223

Category: Mathematics

Page: 3252

View: 9413

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

Category: Mathematics

Page: 400

View: 2570

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