How Mathematicians Think

How Mathematicians Think

Author: William Byers

Publisher: Princeton University Press

Published: 2010-05-02

Total Pages: 424

ISBN-13: 0691145997

DOWNLOAD EBOOK

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.


A History of Abstract Algebra

A History of Abstract Algebra

Author: Israel Kleiner

Publisher: Springer Science & Business Media

Published: 2007-09-20

Total Pages: 175

ISBN-13: 081764685X

DOWNLOAD EBOOK

This book does nothing less than provide an account of the intellectual lineage of abstract algebra. The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared insoluble by classical means. A major theme of the book is to show 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. Mathematics instructors, algebraists, and historians of science will find the work a valuable reference.


Frobenius Splitting Methods in Geometry and Representation Theory

Frobenius Splitting Methods in Geometry and Representation Theory

Author: Michel Brion

Publisher: Springer Science & Business Media

Published: 2007-08-08

Total Pages: 259

ISBN-13: 0817644059

DOWNLOAD EBOOK

Systematically develops the theory of Frobenius splittings and covers all its major developments. Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings—definitions, properties and examples—to cutting edge research.


Goin' Crazy with Sam Peckinpah and All Our Friends

Goin' Crazy with Sam Peckinpah and All Our Friends

Author: Max Evans

Publisher: UNM Press

Published: 2014-10-15

Total Pages: 355

ISBN-13: 0826335888

DOWNLOAD EBOOK

Almost as famous for the legendary excesses of his personal life as for his films, Sam Peckinpah (1925–1984) cemented his reputation as one of the great American directors with movies such as The Wild Bunch and Pat Garrett and Billy the Kid. Max Evans, one of Peckinpah’s best friends, experienced the director’s mercurial character and personal demons firsthand. In this enthralling memoir we follow Evans and Peckinpah through conversations in bars, family gatherings, binges on drugs and alcohol, struggles with film producers and executives, and Peckinpah’s abusive behavior—sometimes directed at Evans himself. Evans’s stories—most previously unpublished—provide a uniquely intimate look at Peckinpah, their famous friends (including Lee Marvin, Brian Keith, Joel McCrea, and James Coburn), and the business of Hollywood in the 1960s and 1970s.


"Eradicating Ideological Viruses"

Author: Maya Wang

Publisher:

Published: 2018

Total Pages: 117

ISBN-13: 9781623136567

DOWNLOAD EBOOK

"This report presents new evidence of the Chinese government's mass arbitrary detention, torture, and mistreatment, and the increasingly pervasive controls on daily life. Throughout the region, the Turkic Muslim population of 13 million is subjected to forced political indoctrination, collective punishment, restrictions on movement and communications, heightened religious restrictions, and mass surveillance in violation of international human rights law."--Publisher website, viewed September 19, 2018.


Mathematical Publishing

Mathematical Publishing

Author: Steven George Krantz

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 324

ISBN-13: 9780821872598

DOWNLOAD EBOOK

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.