A brilliant introduction to the pleasures of mathematical thinking, this book attempts to convey to general readers the feeling of eureka--the joy of discovery--that mathematicians feel when they first encounter an elegant truth. 92 line illustrations.

Spanning thirty years of intensive research, this book proves what many scholars could not explain: that today’s Western world must be considered the product of both Greek and Indian thought—Western and Eastern philosophies. Thomas McEvilley explores how trade, imperialism, and migration currents allowed cultural philosophies to intermingle freely throughout India, Egypt, Greece, and the ancient Near East. This groundbreaking reference will stir relentless debate among philosophers, art historians, and students.

Far from merely recycling what we already know about certain paradoxes, this book breaks entirely new ground by providing what everyone really wants: solutions. The king of all paradoxes is the Liar ('This statement is false.' If it is true, it is false; if it is false, it is true), which in its earliest form is over two and a half thousand years old. Throughout all this time it has resisted every attempt to fully understand it. This work finally unlocks the secrets of the Liar, exposing principles, patterns and formulae that have long lain hidden. Several other important paradoxes also come under the logical searchlight and they too surrender their treasures. Though paradoxes are inherently difficult, this book approaches them in a clear and entertaining manner, using plain English. Secrets of the Paradox is written for the general reader, yet is sufficiently rigorous to satisfy the demands of the professional philosopher. If you relish an intellectual challenge, this book is for you!

Muriel Rukeyser held a visionary belief in the human capacity to create social change through language. She earned an international reputation as a powerful voice against enforced silences of all kind, against the violence of war, poverty, and racism. Her eloquent poetry of witness-of the Scottsboro Nine, the Spanish Civil War, the poisoning of the Gauley Bridge laborers-split the darkness covering a shameful world. In addition to the complete texts of her twelve previously published books, this volume also features new poems discovered by the editors; Rukeyser's translations, including the first English translations of Octavio Paz's work; early work by Rukeyser not previously published in book form; and the controversial book-length poem Wake Island. An introduction by the editors traces Rukeyser's life and literary reputation and complements discerning annotations and textual notes to the poems.

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.