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Author: William Byers Publisher: Princeton University Press ISBN: 0691145997 Category : Mathematics Languages : en Pages : 424
Book Description
To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.
Author: William Byers Publisher: Princeton University Press ISBN: 0691145997 Category : Mathematics Languages : en Pages : 424
Book Description
To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.
Author: Christopher Andersen Publisher: Simon and Schuster ISBN: 1451661460 Category : Biography & Autobiography Languages : en Pages : 466
Book Description
“He’s a smart little mother******,I’ll give him that.” —KEITH RICHARDS on MICK JAGGER IS he Jumpin’ Jack Flash? A Street Fighting Man? A Man of Wealth and Taste? All this, it turns out, and far more. By any definition, Mick Jagger is a force of nature, a complete original—and undeniably one of the dominant cultural figures of our time. Swaggering, strutting, sometimes elusive, always spellbinding, he grabbed us by our collective throat a half-century ago and—unlike so many of his gifted peers—never let go. For decades, Mick has jealously guarded his many shocking secrets—until now. As the Rolling Stones mark their 50th anniversary, journalist and #1 New York Times bestselling author Christopher Andersen tears the mask from rock’s most complex and enigmatic icon in a no-holds-barred biography as impossible to ignore as Jagger himself. Based on interviews with friends, family members, fellow music legends, and industry insiders—as well as wives and legions of lovers—MICK sheds new light on a man whose very name defines an era and candidly reveals: —New details about Jagger’s jaw-dropping sexual exploits with more than four thousand women (including Madonna, Angelina Jolie, Carly Simon, Linda Ronstadt, Uma Thurman, and France’s First Lady Carla Bruni)—as well as his encounters with several of rock’s biggest male stars. Also, the day Mick’s wife Jerry Hall and Keith Richards pleaded with Jagger to seek treatment for sex addiction. —The backstage drama surrounding Mick’s knighthood, and Jagger’s little-known ties to Britain’s Royal Family, including Prince William and Kate Middleton. —What he really thinks of today’s superstars—including Lady Gaga, Britney Spears, Beyoncé, Justin Timberlake, Kanye West, and Justin Bieber. —Never-before-revealed, behind-the-scenes accounts of his often turbulent relationships—from his band-mates, ravenous groupies, and rabid fans to such intimates as Andy Warhol, John Lennon, Jackie Onassis, Bill Clinton, and others. —Cocaine, LSD, hashish, and speed—the flabbergasting truth about the extent of Jagger’s substance abuse, and how long it really went on. —A rare glimpse into Mick’s business dealings and the killer instinct that has enabled him to amass a personal fortune well in excess of $400 million. —The stormy “marriage” between Mick and Keith that nearly ran aground over Keith’s searing comments—and all the scandal, mayhem, excess, madness, and genius that went into making the Rolling Stones “the world’s greatest rock-and-roll band.” Like its subject, this book is explosive and riveting—the definitive biography of a living legend who has kept us thrilled, confounded, and astounded. THIS IS MICK.
Author: Alan Hopkinson Publisher: Walter de Gruyter ISBN: 3598441193 Category : Language Arts & Disciplines Languages : en Pages : 765
Book Description
The third edition succeeds the fifth update of second edition. One of the main features has been the adoption of new and revised international standards, notably the International Standard Identifier for Libraries and Related Organizations, the ISBN 13 and the linking ISSN. New fields have been added for recording the Persistent Record Identifier. Uniform Conventional Headings for Legal and Religious texts are now catered for with separate fields. A number of fields have been revised: archival materials, manuscripts and documentation produced by the ISSN International Centre.
Author: Israel Kleiner Publisher: Springer Science & Business Media ISBN: 0817646841 Category : Mathematics Languages : en Pages : 175
Book Description
This book explores the history of abstract algebra. It shows how abstract algebra has arisen in attempting to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved.
Author: Miles Upton Publisher: ISBN: 9780972785709 Category : Languages : en Pages :
Book Description
A complete and thorough DIY repair manual for Exakta VX and VXIIa cameras. The step-by-step instructions combined with excellent photographt allow a high rate of success. Much of the information specific to these models has never been published!
Author: Publisher: ISBN: 9781442561267 Category : Information technology Languages : en Pages : 280
Book Description
Information Methods takes a highly practical approach that helps students to acquire the skills they need to handle and communicate information with confidence in a wide variety of situations. Students can practice building their analytical and creative thinking skills. Students will also develop the writing and research skills that are vital for success in an academic context. The book's coverage extends to the different forms of writing in a business context. In addition, students are introduced to Web 2.0, social networking, database processing, global information systems and usability issues. This custom edition is published for Swinburne University and Open Universities Australia.
Author: Steven George Krantz Publisher: American Mathematical Soc. ISBN: 9780821872598 Category : Mathematics Languages : en Pages : 324
Book Description
Mathematicians are expected to publish their work: in journals, conference proceedings, and books. It is vital to advancing their careers. Later, some are asked to become editors. However, most mathematicians are trained to do mathematics, not to publish it. But here, finally, for graduate students and researchers interested in publishing their work, Steven G. Krantz, the respected author of several "how-to" guides in mathematics, shares his experience as an author, editor, editorial board member, and independent publisher. This new volume is an informative, comprehensive guidebook to publishing mathematics. Krantz describes both the general setting of mathematical publishing and the specifics about all the various publishing situations mathematicians may encounter. As with his other books, Krantz's style is engaging and frank. He gives advice on how to get your book published, how to get organized as an editor, what to do when things go wrong, and much more. He describes the people, the language (including a glossary), and the process of publishing both books and journals. Steven G. Krantz is an accomplished mathematician and an award-winning author. He has published more than 130 research articles and 45 books. He has worked as an editor of several book series, research journals, and for the Notices of the AMS. He is also the founder of the Journal of Geometric Analysis. Other titles available from the AMS by Steven G. Krantz are How to Teach Mathematics, A Primer of Mathematical Writing, A Mathematician's Survival Guide, and Techniques of Problem Solving.
Author: Julian Havil Publisher: Princeton University Press ISBN: 1400837383 Category : Mathematics Languages : en Pages : 213
Book Description
Math—the application of reasonable logic to reasonable assumptions—usually produces reasonable results. But sometimes math generates astonishing paradoxes—conclusions that seem completely unreasonable or just plain impossible but that are nevertheless demonstrably true. Did you know that a losing sports team can become a winning one by adding worse players than its opponents? Or that the thirteenth of the month is more likely to be a Friday than any other day? Or that cones can roll unaided uphill? In Nonplussed!—a delightfully eclectic collection of paradoxes from many different areas of math—popular-math writer Julian Havil reveals the math that shows the truth of these and many other unbelievable ideas. Nonplussed! pays special attention to problems from probability and statistics, areas where intuition can easily be wrong. These problems include the vagaries of tennis scoring, what can be deduced from tossing a needle, and disadvantageous games that form winning combinations. Other chapters address everything from the historically important Torricelli's Trumpet to the mind-warping implications of objects that live on high dimensions. Readers learn about the colorful history and people associated with many of these problems in addition to their mathematical proofs. Nonplussed! will appeal to anyone with a calculus background who enjoys popular math books or puzzles.
Author: William Byers
Author: William Byers
Author: Christopher Andersen
Author: Alan Hopkinson
Author: Israel Kleiner
Author: Miles Upton
Author: 
Author: Vance Dickason
Author: Steven George Krantz
Author: Arthur Henry Johnson
Author: Julian Havil