A riveting history of counting and calculating, from the time of the cave dwellers to the twentieth century, this fascinating volume brings numbers to thrilling life, explaining their development in human terms, the intriguing situations that made them necessary, and the brilliant achievements in human thought that they made possible. It takes us through the numbers story from Europe to China, via ancient Greece and Rome, Mesopotamia, Latin America, India, and the Arabic countries. Exploring the many ways civilizations developed and changed their mathematical systems, Ifrah imparts a unique insight into the nature of human thought–and into how our understanding of numbers and the ways they shape our lives have changed and grown over thousands of years.

    The presentation is never awkward or dry, as it sometimes is in other "modern" textbooks; it is as unconventional as one has come to expect from the author. The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all, this is an excellent work, of equally high value for both student and teacher." Zentralblatt f�r Mathematik

    Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.

    Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.

    

    

    Providing coverage of the principles and practices of quantitative chemistry, this book includes applications throughout industry, medicine, and the sciences.

    It was a fertile era for new genres, from alt-rock to Afropop, hip hop to techno. Rock critic Robert Christgau's obsessive ear and authoritative pen have covered it all-over 3,800 albums graded and classified, from A+s to his celebrated turkeys and duds. A rich appendix section ensures that nothing's been left out-from "subjects for further research" to "everything rocks but nothing ever dies." Christgau's Consumer Guide is essential reading and reference for any dedicated listener.

    The gloves are off as best-selling author RD Reynolds and his co-author Blade Braxton pull no punches in looking at some of wrestling’s biggest mistakes, most comical mishaps and most egotistical performers. Among the lists included in this cornucopia of wrestling nonsense are: • Sights Wrestling Fans Should Never Be Forced To See Again! • The Greatest Mullets in the History of the Game! • Porn Stars Who Moonlighted in Wrestling! • The Proof that DX is really, REALLY Gay! • The Greatest Mugshots — Featuring Your Favourite Wrestlers! • The Pieces of Definitive Evidence that WCW May Have Been Run By Nazis! • Pro Wrestling’s Stupidest Hometowns! • The Things That Vince McMahon Always Wants to Talk About (Half of Which Involve His Genitalia)! Of course, we’d be remiss if we didn’t mention the book’s craptastic main event: the 25 Worst Gimmicks of All Time. Irreverent, off-kilter, and certain to be offensive to all, The WrestleCrap Book of Lists! is pro wrestling’s very worst of the worst!

    Escher, I am absolutely crazy about your work. In your print Reptiles you have given such a striking illustration of reincarnation.' I replied, 'Madame, if that's the way you see it, so be it, '" An engagingly sly comment by the renowned Dutch graphic artist Maurits Cornelis Escher (1898-1972)--the complex ambiguities of whose work leave hasty or single-minded interpretations far behind. Long before the first computer-generated 3-D images were thrilling the public, Escher was a master of the third dimension. His lithograph "Magic Mirror" dates as far back as 1946. In taking that title for this book, mathematician Bruno Ernst is stressing the magic spell Escher's work invariably casts on those who see it. Ernst visited Escher every week for a year, systematically talking through his entire oeuvre with him. Their discussions resulted in a friendship that gave Ernst intimate access to the life and conceptual world of Escher. Ernst's account was meticulously scrutinized and made accurate by the artist himself. Escher's work refuses to be pigeonholed. Scientific, psychological, or aesthetic criteria alone cannot do it justice. The questions remain. Why did he create the pictures? How did he construct them? What preliminary studies were necessary before he could arrive at the final version? And how are the various images Escher created interrelated? This book, complete with biographical data, 250 illustrations, and explications of mathematical problems, offers answers to these and many other questions, and is an authentic source text of the first order.

    Therefore, this book provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context. Like the first two editions, this edition maintains the same spirit and user-friendly approach with some streamlined arguments, a few new examples, rearranged topics, and a new chapter on the Generalized Riemann Integral.

    They fought one-against-one in an octagonal cage where they could punch, kick, knee, elbow, head butt and choke. "There are no rules!" proclaimed the organizers. The Ultimate Fighting Championship was born-and the mystique of traditional martial arts had died.For thousands of years, the fighting arts had been shrouded in mystery and deceit. Secrets were jealously guarded, while blood-curdling claims were made of lethal techniques and even supernatural powers. Each style or system asserted that it was the best, its masters unbeatable.By matching experts in different arts against each other, the Ultimate Fighting Championship exploded many of these myths. Black belts and flashy moves proved no match for the skill and technique of a new breed of athletic warrior.In just over a decade, no-holds-barred fighting-otherwise known as mixed martial arts-has gone from a novelty spectacle to a worldwide sport. It has produced its own superstars like the Gracie family, Ken and Frank Shamrock, Maurice Smith and Randy Couture. It has also attracted massive condemnation from the media and run the gauntlet of police raids and banning orders. Its critics labeled it "human cockfighting." It was pursued from state to state, excoriated by campaigners and banned by politicians. Through it all, the sport has continued to thrive, spreading across the globe.Author and journalist Clyde Gentry has interviewed more than 100 key figures to produce the definitive account of the world's most controversial and misunderstood sport and of the fighting men who dare to enter the octagon.

    Nobel laureate Murray Gell-Mann offers a uniquely personal and unifying vision of the relationship between the fundamental laws of physics and the complexity and diversity of the natural world.

    Next, he examines the three critiques that currently challenge this classic Darwinian edifice: that selection operates on multiple levels, from the gene to the group; that evolution proceeds by a variety of mechanisms, not just natural selection; and that causes operating at broader scales, including catastrophes, have figured prominently in the course of evolution.Then, in a stunning tour de force that will likely stimulate discussion and debate for decades, Gould proposes his own system for integrating these classical commitments and contemporary critiques into a new structure of evolutionary thought.In 2001 the Library of Congress named Stephen Jay Gould one of America's eighty-three Living Legends--people who embody the quintessentially American ideal of individual creativity, conviction, dedication, and exuberance. Each of these qualities finds full expression in this peerless work, the likes of which the scientific world has not seen--and may not see again--for well over a century.

    Myerson introduces, clarifies, and synthesizes the extraordinary advances made in the subject over the past fifteen years, presents an overview of decision theory, and comprehensively reviews the development of the fundamental models: games in extensive form and strategic form, and Bayesian games with incomplete information.Game Theory will be useful for students at the graduate level in economics, political science, operations research, and applied mathematics. Everyone who uses game theory in research will find this book essential.