New co-authors--Irl Bivens and Stephen Davis--from Davidson College; both distinguished educators and writers.* More emphasis on graphing calculators in exercises and examples, including CAS capabilities of graphing calculators.* More problems using tabular data and more emphasis on mathematical modeling.

    Without it, there would be no science or technology. There would be no moral responsibility either, as none of our thoughts would be connected with our actions and none of our actions with any consequences. Nor would we have a system of law because blame resides only in someone having caused injury or damage.Any intervention we make in the world around us is premised on there being causal connections that are, to a degree, predictable. It is causation that is at the basis of prediction and also explanation. This Very Short Introduction introduces the key theories of causation and also the surrounding debates and controversies.About the Series: Oxford's Very Short Introductions series offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, Literary Theory to History, and Archaeology to the Bible. Not simply a textbook of definitions, each volume in this series provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given discipline or field. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how the subject has developed and how it has influenced society. Eventually, the series will encompass every major academic discipline, offering all students an accessible and abundant reference library. Whatever the area of study that one deems important or appealing, whatever the topic that fascinates the general reader, the Very Short Introductions series has a handy and affordable guide that will likely prove indispensable.

    The author illustrates important aspects of Africa's history with a range of fascinating historical examples, drawn from over 5 millennia across this vast continent. The multitude of topics that the reader will learn about in this succinct work include the unity and diversity of African cultures, slavery, religion, colonial conquest, the diaspora, and the importance of history in understanding contemporary Africa. The book examines questions such as: Who invented the idea of "Africa"? How is African history pieced together, given such a lack of documentary evidence? How did Africa interact with the world 1,000 years ago? Africa has been known as 'the cradle of mankind', and its recoverable history stretches back to the Pharaohs. But the idea of studying African history is itself new, and the authors show why it is still contested and controversial. This VSI, the first concise work of its kind, will prove essential reading for anyone interested in the African continent and the diversity of human history.

    But he did not intend the metaphysics to stand apart from his scientific work, which included important investigations into physics, mathematics, and optics. In this book, Sorell shows that Descarates was, above all, an advocate and practitioner of the new mathematical approach to physics, and that he developed his philosophies to support his discoveries in the sciences.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    Make the bet more attractive for them: the game could have 10 or 20 rounds, and you’ll give them the privilege of starting first in every s-i-n-g-l-e round. “Piece of cake!” they will think and they will take the bet. Only to discover in despair, 10 or 20 rounds later, that it is impossible to beat you, even once. This book reveals a simple system that will help you never lose a single game from the moment you learn them. Let us repeat that.After reading this book and for the rest of your life, you will never, ever lose a game of Tic-Tac-Toe again! How is it possible never to lose in Tic-Tac-Toe? Tic-Tac-Toe is a “solved” game, meaning that there are mathematically proven strategies to defend yourself against losing. If you play with these optimal strategies in mind, you may win and you can’t lose. If your opponent also plays with the optimal strategies in mind, neither will win, and the game will always end in a draw.However, very few people really know these strategies.This book reveals an easy system of only 8 strategies that will make you a Tic-Tac-Toe Master. If you learn and start applying these 8 strategies, we guarantee that you will never lose a game of Tic-Tac-Toe again. Is it easy to learn these strategies? Very easy! These 8 strategies are presented in 8 mini chapters, with illustrations and step-by-step explanations. Even a kid can read this book and learn the strategies!In just 1 hour you will have learnt all 8 strategies and you will be ready to start applying them. Will I have to think too hard to apply these strategies? As a matter of fact, all you have to do is to memorize our simple system. As soon as you learn this system, every game will be a no-brainer for you. Our system tells you exactly how to play or how to respond to your opponent’s move. Simple as A-B-C.For example, if your opponent plays first and chooses a corner, our system tells you exactly how to respond in order to eliminate any chance of losing the game. Is this for real? Do you guarantee that I will never lose a TTT game again? YES!!! We challenge you to read this book and then immediately start playing Tic-Tac-Toe online, against a computer, applying everything you have learnt. You will discover that even a computer can’t beat you.Your new super powers in Tic-Tac-Toe will blow your mind! Start right now! Buy the book, learn the strategies and NEVER lose a Tic-Tac-Toe game again from that moment and for the rest of your life!Scroll to the top of the page and click the BUY WITH 1-CLICK Button!

    Cosmic Universe and Human History, microcosm and macrocosm, inorganic and living matter coexist and form a unique unity manifested in multiple forms. The Physical and the Mental constitute the form and the content of the World. The world does not consist of subjects and objects, the “subject” and the “object” are metaphysical abstractions of the single and indivisible Wholeness. Man’s finite knowledge separates the Whole into parts and studies fragmentarily the beings. The Wholeness is manifested in multiple forms and each form encapsulates the Wholeness. The rational explanation of the excerpts and the intuitive apprehension of the Wholeness are required to combine and create the open thought and the holistic knowledge. This means that the measurement should be defined by the ''measure'', but the responsibility for determining the ''measure'' depends on the man. This requires that man overcomes the anthropocentric arrogance and the narcissistic selfishness and he joins the Cosmic World in a friendly and creative manner.

    It explains what algorithms do, how they are used, the risks associated with using them, and why governments should be concerned. Important areas arehighlighted, such as Stream Ciphers, block ciphers, public key algorithms, digital signatures, and applications such as e-commerce. This book highlights the explosive impact of cryptography on modern society, with, for example, the evolution of the internet and the introduction of more sophisticatedbanking methods.

    After meeting with Americans on extensive travels in the United States, and intense study of documents and authorities, he authored the landmark Democracy in America, publishing its two volumes in 1835 and 1840. Ever since, this book has been the best source for every serious attempt to understand America and democracy itself. Yet Tocqueville himself remains a mystery behind the elegance of his style. Now one of our leading authorities on Tocqueville explains him in this splendid new entry in Oxford's acclaimed Very Short Introduction series. Harvey Mansfield addresses his subject as a thinker, clearly and incisively exploring Tocqueville's writings--not only his masterpiece, but also his secret Recollections, intended for posterity alone, and his unfinished work on his native France, The Old Regime and the Revolution. Tocqueville was a liberal, Mansfield writes, but not of the usual sort. The many elements of his life found expression in his thought: his aristocratic ancestry, his ventures in politics, his voyages abroad, his hopes and fears for America, and his disappointment with France. All his writings show a passion for political liberty and insistence on human greatness. Perhaps most important, he saw liberty not in theories, but in the practice of self-government in America. Ever an opponent of abstraction, he offered an analysis that forces us to consider what we actually do in our politics--suggesting that theory itself may be an enemy of freedom. And that, Mansfield writes, makes him a vitally important thinker for today. Translator of an authoritative edition of Democracy in America, Harvey Mansfield here offers the fruit of decades of research and reflection in a clear, insightful, and marvelously compact introduction.

    It is structured around six schools of thought that have received classic status. Sue Hamilton explores how the traditions have attempted to understand the nature of reality in terms of inner or spiritual quest and introduces distinctively Indian concepts, such as karma and rebirth. She also explains how Indian thinkers have understood issues of reality and knowledge--issues that are also an important part of the Western philosophical tradition.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    Each chapter contains integrated worked examples and chapter tests. This edition has the ancillary ATLAST computer exercise guide and new MATLAB and Maple guides.

    From Martin Luther, Frederick Schiller, and Johann Wolfgang von Goethe to Karl Marx, Sigmund Freud, Thomas Mann, Bertolt Brecht, and Gunter Grass, Germany has produced an impressive number of great writers and great works. In German Literature: A Very Short Introduction, Nicholas Boyle illuminates the particular character and power of German literature and explores its impact on the larger cultural world. Boyle presents an engrossing tour of German literature from the Middle Ages to the 20th century, focussing especially on the last 250 years. He examines key themes like idealism, modernism, materialism, trauma and memory, showing how they have imbued the great German writers with such distinctive voices. Indeed, this brief introduction offers broad coverage of German literature, revealing the links between German literature and the German nation, examining the literary and philosophical responses of German writers to social, political, and economic change, and seeking out the connections between Germany's intellectual traditions and its often violent and tragic history. About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    Beautifully illustrated with old engravings as well as contemporary imagery, Sacred Number introduces basic counting systems; significant numbers from major religious texts; the importance of astronomy, geometry, and music to number quality; how numbers affect architecture. Lundy explains why the ideas of Pythagoras still resonate, and she profiles each number from one to ten to show its distinct qualities: why, for example, the golden section is associated with five, and seven with the Virgin Mary.

    Outlining the fascinating history of how superconductivity was discovered, and the race to understand its many mysterious and counter-intuitive phenomena, Stephen Blundell explains in accessible terms the theories that have been developed to explain it, and how they have influenced other areas of science, including the Higgs boson of particle physics and ideas about the early Universe. This Very Short Introduction examines the many strange phenomena observed in superconducting materials, the latest developments in high-temperature superconductivity, the potential of superconductivity to revolutionize the physics and technology of the future, and much more. It is a fascinating detective story, offering invaluable insights into some of the deepest and most beautiful ideas in physics today.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.