The study of knots has led to important applications in DNA research and the synthesis of new molecules, and has had a significant impact on statistical mechanics and quantum field theory. Colin Adams’s The Knot Book is the first book to make cutting-edge research in knot theory accessible to a non-specialist audience. Starting with the simplest knots, Adams guides readers through increasingly more intricate twists and turns of knot theory, exploring problems and theorems mathematicians can now solve, as well as those that remain open. He also explores how knot theory is providing important insights in biology, chemistry, physics, and other fields. The new paperback edition has been updated to include the latest research results, and includes hundreds of illustrations of knots, as well as worked examples, exercises and problems. With a simple piece of string, an elementary mathematical background, and The Knot Book, anyone can start learning about some of the most advanced ideas in contemporary mathematics.

    As Lord Shackleton, former president of the Royal Geographical Society, said of an earlier edition, it is "the finest reference atlas ever published." Now, The Times Atlas of the World, Tenth Comprehensive Edition, the first completely revised edition since The Times Atlas of the World debuted in 1967, establishes an even higher standard among all reference atlases, and a new benchmark in its own unparalleled tradition. The Tenth Comprehensive Edition opens with stunning satellite images of the continents and the oceans as they appear from space. This preliminary section continues with a series of graphics, photographs, maps, tables, and charts reviewing the cosmos, the natural world, and humanity's interaction with our home planet. Next is a comparative list of Earth's physical features, from rivers to mountains to islands to deserts, and a complete statistical guide to the states and territories of the world. This opening section concludes with a fascinating chronicle on the evolution of world mapping, beginning with our first attempt to map the world more than a thousand years ago. The central section of The Tenth Comprehensive Edition, with 248 pages of breathtakingly detailed reference maps, provides the most accurate and up-to-date visual presentation of geographical knowledge in any atlas today. Each map, drawn with generous scale and projection, has been entirely redesigned since the last edition, using the latest digital technology. While creating maps of optimum accuracy, these new methods also provide enhanced clarity and greater legibility than ever before, even for an atlas that was already legendary for the readability of its maps. In addition to recording the new states and republics created by political upheaval in this last decade before the millennium, The Tenth Comprehensive Edition includes a multitude of renamed towns and cities, along with many revised national borders. The revised and expanded index, covering more than 200,000 place names, is the largest index ever found in a single-volume atlas, virtually ensuring that any location a reader may be looking for will be included in the book. The index is also unique in scope, giving the name, description, regional and country locations, the map grid reference, page number, and latitude and longitude. No other atlas comes close to providing such an index, either in sheer numbers or in reference value.In the last three decades, The Times Atlas of the World has been in the vanguard of a revolution in the science of cartography, replacing maps formerly created on hand-etched copper plates with maps that are computer-generated. The Times Atlas of the World, Tenth Comprehensive Edition, represents the fullest flowering yet of this remarkable revolution in cartography. It is the finest atlas ever published, sure to be treasured by students, scholars, armchair travelers, global sightseers, and anyone seeking better understanding of our dynamic planet.

    This volume of fifteen new, specially commissioned essays by notable journalists and scholars such as Rudy Rucker, Jim Holt, and Gregory Benford presents a series of speculations on the most radical but well-grounded ideas they can conceive, projecting the universe as it might be in the year 1,000,000 C.E. Their collective effort--first attempted by H. G. Wells in his 1893 essay "The Man of the Year Million"--is an exploration into a barely conceivable distant future, where the authors confront far-flung possibilities, at times bordering on philosophy of science. How would the galaxy look if it were redesigned for optimal energy use and maximized intelligence? What is a universe bereft of stars? Contributors include Amara D. Angelica, Catherine Asaro, Gregory Benford, Robert Bradbury, Sean M. Carroll, Anne Corwin, Dougal Dixon, Robin Hanson, Steven B. Harris, Jim Holt, Lisa Kaltenegger, Wil McCarthy, Rudy Rucker, Pamela Sargent, and George Zebrowski.

    Czerski provides the tools to alter the way we see everything around us by linking ordinary objects and occurrences, like popcorn popping, coffee stains, and fridge magnets, to big ideas like climate change, the energy crisis, or innovative medical testing. She provides answers to vexing questions: How do ducks keep their feet warm when walking on ice? Why does it take so long for ketchup to come out of a bottle? Why does milk, when added to tea, look like billowing storm clouds? In an engaging voice at once warm and witty, Czerski shares her stunning breadth of knowledge to lift the veil of familiarity from the ordinary.

    Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

    Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating.Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others.For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others."The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.

    These properties are seen over and over in nature and in the cities and streets of the past, but they have almost disappeared in the impersonal developments and buildings of the last hundred years.This book shows that living structures depend on features which make a close connection with the human self, and that only living structure has the capacity to support human well-being.

    It places the basics of astronomy and the process of science within the grasp of introductory students. Package Universe, Eighth Edition with FREE Starry Night CD!use Package ISBN 0-7167-9564-7 SPLIT VOLUMESIn addition to the complete 28-chapter version of Universe, two shorter versions are also available:Universe: The Solar System, Third Edition(Chapters 1-16 and 28)0-7167-9563-9; w/FREE Starry Night CD, 0-7167-9562-0Universe: Stars and Galaxies, Third Edition(Chapters 1-8 which includes a two-chapter overview of the solar system) and Chapters 16-28)0-7167-9561-2; w/FREE Starry Night CD, 0-7167-9565-5

    Filled with facts, trivia, and stories about the world’s musicians, instruments, songs, and more, this endlessly diverting "plunge" dips into the history of Motown, muzak, and marching bands; tells the secret stories behind the hits; explores legendary venues like the Grand Ole Opry, the Apollo, and the Fillmore; spots the rarely sighted “two-hit wonders”; describes the origins of karaoke, rap music, and the cha cha cha. In short, it includes all the music news that’s fit to print is here in a variety of formats — longer entries for extended sojourns and brief tidbits for shorter stays.

    During the summer before the United States entered World War I, when ocean swimming was just becoming popular and luxurious Jersey Shore resorts were thriving as a chic playland for an opulent yet still innocent era's new leisure class, Americans were abruptly introduced to the terror of sharks. In July 1916 a lone Great White left its usual deep-ocean habitat and headed in the direction of the New Jersey shoreline. There, near the towns of Beach Haven and Spring Lake-and, incredibly, a farming community eleven miles inland-the most ferocious and unpredictable of predators began a deadly rampage: the first shark attacks on swimmers in U.S. history. For Americans celebrating an astoundingly prosperous epoch much like our own, fueled by the wizardry of revolutionary inventions, the arrival of this violent predator symbolized the limits of mankind's power against nature.Interweaving a vivid portrait of the era and meticulously drawn characters with chilling accounts of the shark's five attacks and the frenzied hunt that ensued, Michael Capuzzo has created a nonfiction historical thriller with the texture of Ragtime and the tension of Jaws. From the unnerving inevitability of the first attack on the esteemed son of a prosperous Philadelphia physician to the spine-tingling moment when a farm boy swimming in Matawan Creek feels the sandpaper-like skin of the passing shark, Close to Shore is an undeniably gripping saga.Heightening the drama are stories of the resulting panic in the citizenry, press and politicians, and of colorful personalities such as Herman Oelrichs, a flamboyant millionaire who made a bet that a shark was no match for a man (and set out to prove it); Museum of Natural History ichthyologist John Treadwell Nichols, faced with the challenge of stopping a mythic sea creature about which little was known; and, most memorable, the rogue Great White itself moving through a world that couldn't conceive of either its destructive power or its moral right to destroy.Scrupulously researched and superbly written, Close to Shore brings to life a breathtaking, pivotal moment in American history. Masterfully written and suffused with fascinating period detail and insights into the science and behavior of sharks, Close to Shore recounts a breathtaking, pivotal moment in American history with startling immediacy.

    In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

    There are equally many advanced textbooks which delve into the far reaches of statistical theory, while bypassing practical applications. But between these two approaches is an unfilled gap, in which theory and practice merge at an intermediate level. Professor M. G. Bulmer's Principles of Statistics, originally published in 1965, was created to fill that need. The new, corrected Dover edition of Principles of Statistics makes this invaluable mid-level text available once again for the classroom or for self-study.Principles of Statistics was created primarily for the student of natural sciences, the social scientist, the undergraduate mathematics student, or anyone familiar with the basics of mathematical language. It assumes no previous knowledge of statistics or probability; nor is extensive mathematical knowledge necessary beyond a familiarity with the fundamentals of differential and integral calculus. (The calculus is used primarily for ease of notation; skill in the techniques of integration is not necessary in order to understand the text.)Professor Bulmer devotes the first chapters to a concise, admirably clear description of basic terminology and fundamental statistical theory: abstract concepts of probability and their applications in dice games, Mendelian heredity, etc.; definitions and examples of discrete and continuous random variables; multivariate distributions and the descriptive tools used to delineate them; expected values; etc. The book then moves quickly to more advanced levels, as Professor Bulmer describes important distributions (binomial, Poisson, exponential, normal, etc.), tests of significance, statistical inference, point estimation, regression, and correlation. Dozens of exercises and problems appear at the end of various chapters, with answers provided at the back of the book. Also included are a number of statistical tables and selected references.

    D. Williams wrote this entertaining, witty introduction for the nonscientist, game theory was still a somewhat mysterious subject familiar to very few scientists beyond those researchers, like himself, working for the military. Now, over thirty years after its original publication as a Rand Corporation research study, his light-hearted though thoroughly effective primer is the recognized classic introduction to an increasingly applicable discipline. Used by amateurs, professionals, and students throughout the world in the classroom, on the job, and for personal amusement, the book has been through ten printings, and has been translated into at least five languages (including Russian and Japanese).Revised, updated, and available for the first time in an inexpensive paperback edition, The Compleat Strategyst is a highly entertaining text essential for anyone interested in this provocative and engaging area of modern mathematics. In fully illustrated chapters complete with everyday examples and word problems, Williams offers readers a working understanding of the possible methods for selecting strategies in a variety of situations, simple to complex. With just a basic understanding of arithmetic, anyone can grasp all necessary aspects of two-, three-, four-, and larger strategy games with two or more sets of inimical interests and a limitless array of zero-sum payoffs.As research and study continues not only in this new discipline but in the related areas of statistics, probability and behavioral science, understanding of games, decision making, and the development of strategies will be increasingly important. In the areas of economics, sociology, politics, and the military, game theory is sure to have an even wider impact. For students and amateurs fascinated by game theory's implications there is no better, immediately applicable, or more entertaining introduction to the subject than this engaging text by the late J. D. Williams, Professor of Mathematics at Princeton University and a member of the Research Council of The Rand Corporation.

    Now, The Lost Spells, a book kindred in spirit and tone, continues to re-wild the lives of children and adults.The Lost Spells evokes the wonder of everyday nature, conjuring up red foxes, birch trees, jackdaws, and more in poems and illustrations that flow between the pages and into readers’ minds. Robert Macfarlane’s spell-poems and Jackie Morris’s watercolour illustrations are musical and magical: these are summoning spells, words of recollection, charms of protection. To read The Lost Spells is to see anew the natural world within our grasp and to be reminded of what happens when we allow it to slip away.

    Told through an examination of animal and plant life today - with occasional juxtapositions of extinct fossil forms to reveal the origin of living creatures - "Life on Earth" is an astonishing pageant of life, with a cast of characters drawn from the whole range of living animals the world over. Attenborough's perceptive, dynamic approach to the evolution of some four million species of living organisms that populate the planet is to trace the most significant thread in the history of each major group. He then proceeds to explain from the evidence of living representatives and fossil remains why certain animals adapted and survived, evolved to more complex and "higher" forms of life, while others, by some inherent limitation imposed by their physiology or structure, failed and became extinct. "Life on Earth" is a book of wonders. A model of clarity and ease as a guide, Attenborough takes the reader around the world with him into jungles where orchids have petals that "impersonate" wasps to attract pollinating insects; to Australia, where honeypot ants force feed nectar to workers of a special caste, then hang them up by their forelegs like living storage jars; to remote mountains in Japan where little monkeys called macaques have learned to combat the winter snows by bathing in hot volcanic springs.