It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    Your brain is a collection of maps. That is no metaphor: scrawled across your brain’s surfaces are actual maps of the sights, sounds, and actions that hold the key to your survival. Scientists first began uncovering these maps over a century ago, but we are only now beginning to unlock their secrets—and comprehend their profound impact on our lives. Brain maps distort and shape our experience of the world, support complex thought, and make technology-enabled mind reading a modern-day reality, which raises important questions about what is real, what is fair, and what is private. They shine a light on our past and our possible futures. In the process, they invite us to view ourselves from a startling new perspective.  ​ In Brainscapes, Rebecca Schwarzlose combines unforgettable real-life stories, cutting-edge research, and vivid illustrations to reveal brain maps’ surprising lessons about our place in the world—and about the world’s place within us.

    Dennett's exposition is nothing short of brilliant." --George Johnson, New York Times Book ReviewConsciousness Explained is a a full-scale exploration of human consciousness. In this landmark book, Daniel Dennett refutes the traditional, commonsense theory of consciousness and presents a new model, based on a wealth of information from the fields of neuroscience, psychology, and artificial intelligence. Our current theories about conscious life-of people, animal, even robots--are transformed by the new perspectives found in this book.

    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.

    Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further."

    Why does music evoke such powerful moods? The answers are at last be- coming clear, thanks to revolutionary neuroscience and the emerging field of evolutionary psychology. Both a cutting-edge study and a tribute to the beauty of music itself, This Is Your Brain on Music unravels a host of mysteries that affect everything from pop culture to our understanding of human nature, including: • Are our musical preferences shaped in utero? • Is there a cutoff point for acquiring new tastes in music? • What do PET scans and MRIs reveal about the brain’s response to music? • Is musical pleasure different from other kinds of pleasure?This Is Your Brain on Music explores cultures in which singing is considered an essential human function, patients who have a rare disorder that prevents them from making sense of music, and scientists studying why two people may not have the same definition of pitch. At every turn, this provocative work unlocks deep secrets about how nature and nurture forge a uniquely human obsession.

    This began to change with the devising of methods to try to tap into what was going on in the 'black box' of the mind, and the development of 'cognitive psychology'. With the study of patients who had suffered brain damage or injury to limited parts of the brain, outlines of brain components and processes began to take shape, and by the end of the 1970s, a new science, cognitive neuroscience, was born. But it was with the development of ways of accessing activation of the working brain using imaging techniques such as PET and fMRI that cognitive neuroscience came into its own, as a science cutting across psychology and neuroscience, with strong connections to philosophy of mind. Experiments involving subjects in scanners while doing various tasks, thinking, problem solving, and remembering are shedding light on the brain processes involved. The research is exciting and new, and often makes media headlines. But there is much misunderstanding about what brain imaging tells us, and the interpretation of studies on cognition.In this Very Short Introduction Richard Passingham, a distinguished cognitive neuroscientist, gives a provocative and exciting account of the nature and scope of this relatively new field, and the techniques available to us, focusing on investigation of the human brain. He explains what brain imaging shows, pointing out common misconceptions, and gives a brief overview of the different aspects of human cognition: perceiving, attending, remembering, reasoning, deciding, and acting. Passingham concludes with a discussion of the exciting advances that may lie ahead.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, and enthusiasm to make interesting and challenging topics highly readable.

    This page-turning survey of the whole of terrestrial evolution sheds new light on how nervous systems evolved in animals, how the brain developed, and what it means to be human.In The Deep History of Ourselves LeDoux argues that the key to understanding all human behavior lies in viewing evolution through the prism of the first living organisms. By tracking the chain of the evolutionary timeline he shows how even the earliest single cell organisms had to solve the same problems we and our cells have to solve today in order to survive and thrive. Along the way, LeDoux explores our place in nature, how the evolution of nervous systems enchanced the ability of organisms to survive and thrive, and how the emergence of what we humans understand as consciousness made our greatest and most horrendous achievements as a species possible.

    Covering every disorder routinely encountered in clinical practice, Frances provides the appropriate ICD-9-CM code for each one (the same code utilized in the DSM), a useful screening question, a colorful descriptive prototype, lucid diagnostic tips, and a discussion of other disorders that must be ruled out. The book closes with an index of the most common presenting symptoms, listing possible diagnoses that must be considered for each. Frances was instrumental in the development of past editions of the DSM and provides helpful cautions on questionable aspects of DSM-5.

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

    Readers will progress from building a basic physics engine to creating intelligent moving objects and complex systems, setting the foundation for further experiments in generative design. Subjects covered include forces, trigonometry, fractals, cellular automata, self-organization, and genetic algorithms. The book's examples are written in Processing, an open-source language and development environment built on top of the Java programming language. On the book's website (http://www.natureofcode.com), the examples run in the browser via Processing's JavaScript mode.

    Provides a review of introductory noncalculus-based physics for those who do not have a strong background in mathematics.

    What should we do, or leave undone, in a day or a lifetime? How much messiness should we accept? What balance of new activities and familiar favorites is the most fulfilling? These may seem like uniquely human quandaries, but they are not: computers, too, face the same constraints, so computer scientists have been grappling with their version of such issues for decades. And the solutions they've found have much to teach us.In a dazzlingly interdisciplinary work, acclaimed author Brian Christian and cognitive scientist Tom Griffiths show how the algorithms used by computers can also untangle very human questions. They explain how to have better hunches and when to leave things to chance, how to deal with overwhelming choices and how best to connect with others. From finding a spouse to finding a parking spot, from organizing one's inbox to understanding the workings of memory, Algorithms to Live By transforms the wisdom of computer science into strategies for human living.

    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.