The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets.

    James Cleaves II seek to answer the most crucial question in science: How did life begin? They trace the trials and triumphs of the iconoclastic scientists who have sought to solve the mystery, from Darwin’s theory of evolution to Crick and Watson’s unveiling of DNA. This fascinating exploration not only examines the origin-of-life question, but also interrogates the very nature of scientific discovery and objectivity.

      Everything—from biological life to inanimate systems—generates shape and structure and evolves in a sequence of ever-improving designs in order to facilitate flow. River basins, cardiovascular systems, and bolts of lightning are very efficient flow systems to move a current—of water, blood, or electricity. Likewise, the more complex architecture of animals evolve to cover greater distance per unit of useful energy, or increase their flow across the land. Such designs also appear in human organizations, like the hierarchical "flowcharts" or reporting structures in corporations and political bodies. All are governed by the same principle, known as the Constructal Law, and configure and reconfigure themselves over time to flow more efficiently. Written in an easy style that achieves clarity without sacrificing complexity, Design in Nature is a paradigm-shifting book that will fundamentally transform our understanding of the world around us.

    While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world inwhich we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields.This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics andengineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, andenthusiasm to make interesting and challenging topics highly readable.

    Instead, ants decide what to do based on the rate, rhythm, and pattern of individual encounters and interactions--resulting in a dynamic network that coordinates the functions of the colony. Ant Encounters provides a revealing and accessible look into ant behavior from this complex systems perspective.Focusing on the moment-to-moment behavior of ant colonies, Deborah Gordon investigates the role of interaction networks in regulating colony behavior and relations among ant colonies. She shows how ant behavior within and between colonies arises from local interactions of individuals, and how interaction networks develop as a colony grows older and larger. The more rapidly ants react to their encounters, the more sensitively the entire colony responds to changing conditions. Gordon explores whether such reactive networks help a colony to survive and reproduce, how natural selection shapes colony networks, and how these structures compare to other analogous complex systems. Ant Encounters sheds light on the organizational behavior, ecology, and evolution of these diverse and ubiquitous social insects.

    In Decoding the Universe, Charles Seife draws on his gift for making cutting-edge science accessible to explain how this new tool is deciphering everything from the purpose of our DNA to the parallel universes of our Byzantine cosmos. The result is an exhilarating adventure that deftly combines cryptology, physics, biology, and mathematics to cast light on the new understanding of the laws that govern life and the universe.

    Cave paintings of the giant beasts hint at the profound role they played in early human culture-our Ice Age ancestors built igloo-shaped huts out of mammoth bones and even feasted on mammoth tongues. Eager to uncover more clues to this mystical prehistoric age, explorers since the time of Peter the Great have scoured Siberia for mammoth remains. Now a new generation of explorers has taken to the tundra. Armed with GPS, ground-penetrating radar, and Soviet-era military helicopters, they seek an elusive prize: a mammoth carcass that will help determine how the creature lived, how it died-and how it might be brought back to life.In this adventure-filled narrative, science writer Richard Stone follows two teams of explorers-one Russian/Japanese, the other a French-led consortium-as they battle bitter cold, high winds, supply shortages, and the deeply rooted superstitions of indigenous peoples who fear the consequences of awakening the "rat beneath the ice." Stone travels from St. Petersburg to the Arctic Circle, from the North Sea to high-tech Japanese laboratories, as he traces the sometimes-surreal quest of these intrepid scientists, whose work could well rewrite our planet's evolutionary history. A riveting tale of high-stakes adventure and scientific hubris, Mammoth is also an intellectual voyage through uncharted moral terrain, as we confront the promise and peril of resurrecting creatures from the deep past.

    De Waal reminds readers through his account of the chimps' sexual rivalries and coalitions, and intelligent rather than instinctual actions, that the roots of politics are older than humanity.

    Keeping an open mind, looking for unusual number combinations, using multiple skills (like subtracting to add) and looking for patterns will guarantee any child success in math. In MATH APPEAL, Tang continues to challenge kids with his innovative approach to math.

    

    So it's not surprising that we persist in thinking that we're in with a chance, whether we're playing the lottery or working out the likelihood of extra-terrestrial life. In Chance, a (not entirely) random selection of the New Scientist's sharpest minds provide fascinating insights into luck, randomness, risk and probability. From the secrets of coincidence to placing the perfect bet, the science of random number generation to the surprisingly haphazard decisions of criminal juries, it explores these and many other tantalising questions.Following on from the bestselling Nothing and Question Everything, this book will open your eyes to the weird and wonderful world of chance - and help you see when some things, in fact, aren't random at all.

    Many people regard mathematicians as a race apart, possessed of almost supernatural powers. While this is very flattering for successful mathematicians, it is very bad for those who, for one reason or another, are attempting to learn the subject.'W.W. Sawyer's deep understanding of how we learn and his lively, practical approach have made this an ideal introduction to mathematics for generations of readers. By starting at the level of simple arithmetic and algebra and then proceeding step by step through graphs, logarithms and trigonometry to calculus and the dizzying world of imaginary numbers, the book takes the mystery out of maths. Throughout, Sawyer reveals how theory is subordinate to the real-life applications of mathematics - the Pyramids were built on Euclidean principles three thousand years before Euclid formulated them - and celebrates the sheer intellectual stimulus of mathematics at its best.

    Our biology predisposes us to see and understand the world in different ways, not always reason and the careful consideration of facts. These predispositions are in turn responsible for a significant portion of the political and ideological conflict that marks human history.With verve and wit, renowned social scientists John Hibbing, Kevin Smith, and John Alford--pioneers in the field of biopolitics--present overwhelming evidence that people differ politically not just because they grew up in different cultures or were presented with different information. Despite the oft-heard longing for consensus, unity, and peace, the universal rift between conservatives and liberals endures because people have diverse psychological, physiological, and genetic traits. These biological differences influence much of what makes people who they are, including their orientations to politics.Political disputes typically spring from the assumption that those who do not agree with us are shallow, misguided, uninformed, and ignorant. Predisposed suggests instead that political opponents simply experience, process, and respond to the world differently. It follows, then, that the key to getting along politically is not the ability of one side to persuade the other side to see the error of its ways but rather the ability of each side to see that the other is different, not just politically, but physically. Predisposed will change the way you think about politics and partisan conflict.As a bonus, the book includes a "Left/Right 20 Questions" game to test whether your predispositions lean liberal or conservative.

    Haskell emerged in the last decade as a standard for lazy functional programming, a programming style where arguments are evaluated only when the value is actually needed. Haskell is a marvellous demonstration tool for logic and maths because its functional character allows implementations to remain very close to the concepts that get implemented, while the laziness permits smooth handling of infinite data structures.This book does not assume the reader to have previous experience with either programming or construction of formal proofs, but acquaintance with mathematical notation, at the level of secondary school mathematics is presumed. Everything one needs to know about mathematical reasoning or programming is explained as we go along. After proper digestion of the material in this book the reader will be able to write interesting programs, reason about their correctness, and document them in a clear fashion. The reader will also have learned how to set up mathematical proofs in a structured way, and how to read and digest mathematical proofs written by others.

    Emphasis on developing algebraic skills is extended to the exercises--including both drill problems and applications. The authors work through examples and explanations with a blend of rigor and accessibility. In addition, they have refined the flow, transitions, organization, and portioning of the content over many editions to optimize learning for readers. The table of contents covers a wide range of topics efficiently, enabling readers to gain a diverse understanding.