Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    What is required, in fact, is a radical reinterpretation of what language is. Steven Roger Fischer begins his book with an examination of the modes of communication used by dolphins, birds and primates as the first contexts in which the concept of "language" might be applied. As he charts the history of language from the times of Homo erectus, Neanderthal humans and Homo sapiens through to the nineteenth century, when the science of linguistics was developed, Fischer analyses the emergence of language as a science and its development as a written form. He considers the rise of pidgin, creole, jargon and slang, as well as the effects radio and television, propaganda, advertising and the media are having on language today. Looking to the future, he shows how electronic media will continue to reshape and re-invent the ways in which we communicate."[a] delightful and unexpectedly accessible book ... a virtuoso tour of the linguistic world."—The Economist"... few who read this remarkable study will regard language in quite the same way again."—The Good Book Guide

    It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

    In the Fourth Edition CALCULUS, EARLY TRANSCENDENTALS these functions are introduced in the first chapter and their limits and derivatives are found in Chapters 2 and 3 at the same time as polynomials and other elementary functions. In this Fourth Edition, Stewart retains the focus on problem solving, the meticulous accuracy, the patient explanations, and the carefully graded problems that have made these texts word so well for a wide range of students. All new and unique features in CALCULUS, FOURTH EDITION have been incorporated into these revisions also.

    But who was Turing, and what did he achieve during his tragically short life of 41 years? Best known as the genius who broke Germany's most secret codes during the war of 1939-45, Turing was also the father of the modern computer. Today, all who 'click-to-open' are familiar with the impact of Turing's ideas.Here, B. Jack Copeland provides an account of Turing's life and work, exploring the key elements of his life-story in tandem with his leading ideas and contributions. The book highlights Turing's contributions to computing and to computer science, including Artificial Intelligence and Artificial Life, and the emphasis throughout is on the relevance of his work to modern developments. The story of his contributions to codebreaking during the Second World War is set in the context of his thinking about machines, as is the account of his work in the foundations of mathematics.

    Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality.

    The book is conveniently divided into three sections: Section one shows how language is used in multilingual speech communities and explains the varying patterns of language use. Janet Holmes examines how and why languages change within society and highlights the factors that lead to the displacement of one language by another and sometimes the death of a language. Section two explores social reasons for language change, looking at language change in monolingual communities and the features of a variety of dialects. The author shows how and why differing racial and social groups develop and maintain speech variations. The final section assesses how attitudes to language affect speech and shows that linguistic responses depend on a variety of contextual factors - for example, the status of the person being addressed and our re

    This title lets you find out how to predict earthquakes, how scientists prepare for them and what really goes on under the Earth's crust when an earthquake hits.

    Luckily, algebra will help you solve each problem. By using simple addition, subtraction, mulitplication, and division, you'll discover that solving math mysteries isn't scary at all -- it's fun!

    For everyone interested in science, history and biographies of extraordinary people - or anyone who wants to understand the workings of the physical world - this thorough and authoritative book is a perfect introduction to science's most profound discoveries, and a testament to the triumph of human knowledge.

    Pi-or ? as it is symbolically known-is infinite and, in The Joy of pi, it proves to be infinitely intriguing. With incisive historical insight and a refreshing sense of humor, David Blatner explores the many facets of pi and humankind's fascination with it-from the ancient Egyptians and Archimedes to Leonardo da Vinci and the modern-day Chudnovsky brothers, who have calculated pi to eight billion digits with a homemade supercomputer.The Joy of Pi is a book of many parts. Breezy narratives recount the history of pi and the quirky stories of those obsessed with it. Sidebars document fascinating pi trivia (including a segment from the 0. J. Simpson trial). Dozens of snippets and factoids reveal pi's remarkable impact over the centuries. Mnemonic devices teach how to memorize pi to many hundreds of digits (or more, if you're so inclined). Pi-inspired cartoons, poems, limericks, and jokes offer delightfully "square" pi humor. And, to satisfy even the most exacting of number jocks, the first one million digits of pi appear throughout the book.A tribute to all things pi, The Joy of pi is sure to foster a newfound affection and respect for the big number with the funny little symbol.

    The book begins with relevant scientific fundamentals and progresses through an exploration of the solar system, stars, galaxies, and cosmology. The Astronomy textbook builds student understanding through the use of relevant analogies, clear and non-technical explanations, and rich illustrations. Mathematics is included in a flexible manner to meet the needs of individual instructors.

    A number of the key figures in the new edition are revised to provide a more inviting and informative treatment. The figures are broken into component parts with supporting commentary so that they can more readily see the key ideas. Material from The Flying Circus is incorporated into the chapter opener puzzlers, sample problems, examples and end-of-chapter problems to make the subject more engaging. Checkpoints enable them to check their understanding of a question with some reasoning based on the narrative or sample problem they just read. Sample Problems also demonstrate how engineers can solve problems with reasoned solutions.

    Meet a man who can pull two railroad passenger cars with his teeth and a real-life human cannon ball. Come face to face with a dead rattlesnake that still bites. And unlock the secrets of a magician's bodiless head. Welcome to this updated edition of The Flying Circus of Physics, where death-defying stunts, high-flying acrobatics, strange curiosities, and mind-bending illusions bring to life the fascinating feats of physics in the world around us. In 1977, Wiley published the first edition of Jearl Walker's The Flying Circus of Physics, which has sold over 100,000 copies and become a cult classic in the physics community. The Flying Circus is a compendium of interesting real world phenomena that can be explained using basic laws of physics. This new edition represents a thorough updating and modernization of the book. The new edition gives us the opportunity to highlight Jearl's creativity, his communication skills, and his ability to make physics interesting.Jearl Walker, Ph.D., professor of physics at Cleveland State University and the man who frequently walked on hot coals and lay on beds of nails all in the name of science, is the first recipient of the Outstanding Teaching Award from Cleveland State's College of Science. The College's Faculty Affairs Committee selected Dr. Walker as the first honoree based on his impressive contributions to science teaching over the last 30 years. In fact, the award in future years will be named the Jearl Walker Outstanding Teaching Award in recognition of his many achievements.Jearl Walker received his B.S. in physics from MIT in 1967 and his Ph.D. in physics from the University of Maryland in 1973. His popular book, The Flying Circus of Physics, has been translated into at least 10 languages and is still being sold worldwide. For 16 years he toured his fun-filled Flying Circus lecture throughout the U.S. and Canada, introducing countless teachers to such physics phenomena as molecular adhesion by hanging spoons from his face and Leidenfrost's phenomenon by dipping his wet hand in molten lead without getting hurt.These lectures led to his national PBS television show, Kinetic Karnival, which ran for several years and won him a local Emmy Award. During his 13 years as a columnist with Scientific American magazine, Dr. Walker wrote 152 articles for The Amateur Scientist section, which were translated into at least 9 languages worldwide. His topics ranged from the physics of judo to the physics of bearnaise sauce and lemon meringue pie. In 1990, he took over the textbook Fundamentals of Physics from David Halliday and Robert Resnick and has now published the seventh edition of the book. He has appeared countless times on television and radio and in newspapers and magazines.