By experimenting with new concepts of time, integrating Eastern philosophies into Western music, and exploring multiphonics and other new sounds on his saxophone, he opened avenues of expression that influenced musicians and composers from jazz to rock to avant-garde.Bill Cole focuses on two aspects of John Coltrane in this provocative study: Coltrane the musician and Coltrane the religious person. Deeply interrelated, both aspects are bound up with Coltrane's identification as an African- American. Coltrane accepted the traditional African belief in the magical powers of sound and connected his music to its African roots via a devout religiosity. Cole shows how Coltrane's influences extended from tribal tone languages to speeches by Martin Luther King, Jr. -- he even adapted King's rhythmic inflections into a saxophone solo.Bill Cole offers a lengthy musical analysis of Coltrane's career; it also includes a detailed discography with recording data and personnel and over two dozen photographs. Cole draws on quotes from Coltrane himself, transcriptions of his improvisations, analyses of his music, research into West African religion, and his own personal reminiscences of the man, to offer a stimulating perspective on Coltrane's music, life, and thought.

    In this funny, fast-paced, razor-sharp, well-reasoned, and supremely savvy critique of the state of our union under the disastrous reign of Barack Obama, bestselling author, Fox News contributor, syndicated columnist, and popular radio host Monica Crowley asks (and answers) the pressing question: What the @$%& has happened to America? “The Happy Warrior’s Guide to the Great American Comeback,” What the (Bleep) Just Happened? doesn’t simply bemoan the trashing of the American economy and the intentional firebombing of America’s international prestige, it offers inspiration and a positive message to conservatives and concerned Americans everywhere that the way to fight back and win is with principle, conviction…and a wicked sense of humor.

    Purchasers are entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Subjects: Astronomy; History / General; Juvenile Nonfiction / Science

    do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.Math underpins everything in the cosmos, including us, yet too few of us understand this universal language well enough to revel in its wisdom, its beauty — and its joy. This deeply enlightening, vastly entertaining volume translates math in a way that is at once intelligible and thrilling. Each trenchant chapter of The Joy of x offers an “aha!” moment, starting with why numbers are so helpful, and progressing through the wondrous truths implicit in π, the Pythagorean theorem, irrational numbers, fat tails, even the rigors and surprising charms of calculus. Showing why he has won awards as a professor at Cornell and garnered extensive praise for his articles about math for the New York Times, Strogatz presumes of his readers only curiosity and common sense. And he rewards them with clear, ingenious, and often funny explanations of the most vital and exciting principles of his discipline.Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x.

    Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.

    

    Simply stated, it asks whether every problem whose solution can be quickly checked by computer can also be quickly solved by computer. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. Lance Fortnow traces the history and development of P-NP, giving examples from a variety of disciplines, including economics, physics, and biology. He explores problems that capture the full difficulty of the P-NP dilemma, from discovering the shortest route through all the rides at Disney World to finding large groups of friends on Facebook. The Golden Ticket explores what we truly can and cannot achieve computationally, describing the benefits and unexpected challenges of this compelling problem.

    Discovered by an 18th century mathematician and preacher, Bayes' rule is a cornerstone of modern probability theory. In this richly illustrated book, intuitive visual representations of real-world examples are used to show how Bayes' rule is actually a form of commonsense reasoning. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for novices who wish to gain an intuitive understanding of Bayesian analysis. As an aid to understanding, online computer code (in MatLab, Python and R) reproduces key numerical results and diagrams.Stone's book is renowned for its visually engaging style of presentation, which stems from teaching Bayes' rule to psychology students for over 10 years as a university lecturer.

    Our Big Bang, our distant future, parallel worlds, the sub-atomic and intergalactic - none of them are what they seem. But there is a way to understand this immense strangeness - mathematics. Seeking an answer to the fundamental puzzle of why our universe seems so mathematical, Tegmark proposes a radical idea: that our physical world not only is described by mathematics, but that it is mathematics. This may offer answers to our deepest questions: How large is reality? What is everything made of? Why is our universe the way it is?Table of ContentsPreface 1 What Is Reality? Not What It Seems • What’s the Ultimate Question? • The Journey Begins Part One: Zooming Out 2 Our Place in Space Cosmic Questions • How Big Is Space? • The Size of Earth • Distance to the Moon • Distance to the Sun and the Planets • Distance to the Stars • Distance to the Galaxies • What Is Space? 3 Our Place in TimeWhere Did Our Solar System Come From? • Where Did theGalaxies Come From? • Where Did the Mysterious MicrowavesCome From? • Where Did the Atoms Come From? 4 Our Universe by NumbersWanted: Precision Cosmology • Precision Microwave-Background Fluctuations • Precision Galaxy Clustering • The Ultimate Map of Our Universe • Where Did Our Big Bang Come From? 5 Our Cosmic Origins What’s Wrong with Our Big Bang? • How Inflation Works • The Gift That Keeps on Giving • Eternal Inflation 6 Welcome to the Multiverse The Level I Multiverse • The Level II Multiverse • Multiverse Halftime Roundup Part Two: Zooming In 7 Cosmic Legos Atomic Legos • Nuclear Legos • Particle-Physics Legos • Mathematical Legos • Photon Legos • Above the Law? • Quanta and Rainbows • Making Waves • Quantum Weirdness • The Collapse of Consensus • The Weirdness Can’t Be Confined • Quantum Confusion 8 The Level III Multiverse The Level III Multiverse • The Illusion of Randomness • Quantum Censorship • The Joys of Getting Scooped • Why Your Brain Isn’t a Quantum Computer • Subject, Object and Environment • Quantum Suicide • Quantum Immortality? • Multiverses Unified • Shifting Views: Many Worlds or Many Words? Part Three: Stepping Back 9 Internal Reality, External Reality and Consensus Reality External Reality and Internal Reality • The Truth, the Whole Truth and Nothing but the Truth • Consensus Reality • Physics: Linking External to Consensus Reality 10 Physical Reality and Mathematical Reality Math, Math Everywhere! • The Mathematical Universe Hypothesis • What Is a Mathematical Structure? 11 Is Time an Illusion? How Can Physical Reality Be Mathematical? • What Are You? • Where Are You? (And What Do You Perceive?) • When Are You? 12 The Level IV Multiverse Why I Believe in the Level IV Multiverse • Exploring the Level IV Multiverse: What’s Out There? • Implications of the Level IV Multiverse • Are We Living in a Simulation? • Relation Between the MUH, the Level IV Multiverse and Other Hypotheses •Testing the Level IV Multiverse 13 Life, Our Universe and Everything How Big Is Our Physical Reality? • The Future of Physics • The Future of Our Universe—How Will It End? • The Future of Life •The Future of You—Are You Insignificant? Acknowledgments Suggestions for Further Reading Index

     Euclid in living color   Nearly a century before Mondrian made geometrical red, yellow, and blue lines famous, 19th century mathematician Oliver Byrne employed the color scheme for the figures and diagrams in his most unusual 1847 edition of Euclid's Elements. The author makes it clear in his subtitle that this is a didactic measure intended to distinguish his edition from all others: “The Elements of Euclid in which coloured diagrams and symbols are used instead of letters for the greater ease of learners.” As Surveyor of Her Majesty’s Settlements in the Falkland Islands, Byrne had already published mathematical and engineering works previous to 1847, but never anything like his edition on Euclid. This remarkable example of Victorian printing has been described as one of the oddest and most beautiful books of the 19th century. Each proposition is set in Caslon italic, with a four-line initial, while the rest of the page is a unique riot of red, yellow, and blue. On some pages, letters and numbers only are printed in color, sprinkled over the pages like tiny wild flowers and demanding the most meticulous alignment of the different color plates for printing. Elsewhere, solid squares, triangles, and circles are printed in bright colors, expressing a verve not seen again on the pages of a book until the era of Dufy, Matisse, and Derain.

    More accessible than his other books, Introduction to Logic lays the foundation for his writings with a clear discussion of each of his philosophical pursuits. For more advanced Kantian scholars, this book can bring to light some of the enduring issues in Kant's repertoire, and for the beginner, it can open up the philosophical ideas of one of most influential thinkers on modern philosophy. This edition comprises two parts, including the first Introduction to Logic and the second an essay titled The False Subtlety of the Four Syllogistic Figures, in which Kant analyzes Aristotelian logic. Immanuel Kant was a Prussian philosopher, physicist, and mathematician whose contributions to the study of logic, epistemology, metaphysics, aesthetics, and moral reasoning have had a lasting influence on philosophical scholarship. Born in K�nigsberg, East Prussia in 1724 to a modest family, Kant was raised Pietist, and initially went to the University of K�nigsberg to study theology. He later abandoned theology for mathematics and physics after becoming interested in the work of Sir Isaac Newton. He was appointed chair of logic and metaphysics at the University of K�nigsberg and, at the height of the Enlightenment, began publishing his most famous philosophical texts, including his most important work, Foundations of the Metaphysics of Morals. Kant has had a tremendous impact on modern philosophy, influencing scholars throughout history, including Karl Marx and G. W. F. Hegel, and he continues to be read and studied today.

    The timeless wisdom of India is expressed in the Vedas, ancient Sanskrit texts that touches upon all fields of human knowledge. Originally preserved through oral tradition, the Vedas were first put into writing by Srila Vyasadeva, the "literary incarnation of God." After compiling the Vedas, Srila Vyasadeva was inspired by his spiritual master to present their profound essence in the form of Srimad-Bhagavatam. Known as "the ripened fruit of the tree of Vedic literature," Srimad-Bhagavatam is the most complete and authoritative exposition of Vedic knowledge.After writing the Bhagavatam, Vyasa taught it to his son, Shukadeva Goswami, who later spoke the Bhagavatam to Maharaja Parikshit in an assembly of sages on the bank of the sacred Ganges River. Although Maharaja Parikshit was a great rajarshi (saintly king) and the emperor of the world, when he received notice of his death seven days in advance, he renounced his entire kingdom and retired to the bank of the Ganges to seek spiritual enlightenment. The questions of King Parikshit and Shukadeva Goswami's illuminating answers, concerning everything from the nature of the self to the origin of the universe, are the basis of Srimad-Bhagavatam.This edition of Bhagavatam is the only complete English translation with an elaborate and scholarly commentary, and it is the first edition widely available to the English-reading public. This work is the product of the scholarly and devotional effort of His Divine Grace A. C. Bhaktivedanta Swami Prabhupada, the world's most distinguished teacher of Indian religious and philosophical thought. His Sanskrit scholarship and intimate familiarity with Vedic culture combine to reveal to the West a magnificent exposition of this important classic.

    Khushwant Singh tells the story of the land and its people from the earliest time to the present day. In broad, vivid sweeps he encapsulates the saga of the upheavals of a sub-continent over five millennia, and how their interplay over the centuries has molded the India of today. More, Khushwant Singh offers perceptive insights into everything Indian that may catch one's eye or arouse curiosity: its ethnic diversity, religions, customs, philosophy, art and culture, political currents, and the galaxy of men and women who have helped shape its intricately inlaid mosaic. He is also an enlightening guide to much else: India's extensive and varied architectural splendors, its art and classical literature. Khushwant Singh's own fascination with the subject is contagious, showing through on every page, and in every sidelight that he recounts. India: An Introduction holds strong appeal for just about anyone who has more than a passing interest in the country, Indians as well as those who are drawn to it from farther afield. And for a traveller, it is that rare companion: erudite, intelligent, lively

    In this book, William Cook takes readers on a mathematical excursion, picking up the salesman's trail in the 1800s when Irish mathematician W. R. Hamilton first defined the problem, and venturing to the furthest limits of today's state-of-the-art attempts to solve it. He also explores its many important applications, from genome sequencing and designing computer processors to arranging music and hunting for planets.In Pursuit of the Traveling Salesman travels to the very threshold of our understanding about the nature of complexity, and challenges you yourself to discover the solution to this captivating mathematical problem.

    Sipser's candid, crystal-clear style allows students at every level to understand and enjoy this field. His innovative "proof idea" sections explain profound concepts in plain English. The new edition incorporates many improvements students and professors have suggested over the years, and offers updated, classroom-tested problem sets at the end of each chapter.