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

    Linear Equations; Vector Spaces; Linear Transformations; Polynomials; Determinants; Elementary canonical Forms; Rational and Jordan Forms; Inner Product Spaces; Operators on Inner Product Spaces; Bilinear Forms For all readers interested in linear algebra.

    In On Being Certain, neurologist Robert Burton challenges the notions of how we think about what we know. He shows that the feeling of certainty we have when we know something comes from sources beyond our control and knowledge. In fact, certainty is a mental sensation, rather than evidence of fact. Because this feeling of knowing seems like confirmation of knowledge, we tend to think of it as a product of reason. But an increasing body of evidence suggests that feelings such as certainty stem from primitive areas of the brain, and are independent of active, conscious reflection and reasoning. The feeling of knowing happens to us; we cannot make it happen. Bringing together cutting edge neuroscience, experimental data, and fascinating anecdotes, Robert Burton explores the inconsistent and sometimes paradoxical relationship between our thoughts and what we actually know. Provocative and groundbreaking, On Being Certain, will challenge what you know (or think you know) about the mind, knowledge, and reason.

    They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide--more than 104,000 copies were bought of the prior edition--includes problems and examples using graphing calculators..

    Integration is treated before differentiation -- this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

    

    The award-winning author Melanie Mitchell, a leading computer scientist, now reveals AI’s turbulent history and the recent spate of apparent successes, grand hopes, and emerging fears surrounding it.In Artificial Intelligence, Mitchell turns to the most urgent questions concerning AI today: How intelligent—really—are the best AI programs? How do they work? What can they actually do, and when do they fail? How humanlike do we expect them to become, and how soon do we need to worry about them surpassing us? Along the way, she introduces the dominant models of modern AI and machine learning, describing cutting-edge AI programs, their human inventors, and the historical lines of thought underpinning recent achievements. She meets with fellow experts such as Douglas Hofstadter, the cognitive scientist and Pulitzer Prize–winning author of the modern classic Gödel, Escher, Bach, who explains why he is “terrified” about the future of AI. She explores the profound disconnect between the hype and the actual achievements in AI, providing a clear sense of what the field has accomplished and how much further it has to go.Interweaving stories about the science of AI and the people behind it, Artificial Intelligence brims with clear-sighted, captivating, and accessible accounts of the most interesting and provocative modern work in the field, flavored with Mitchell’s humor and personal observations. This frank, lively book is an indispensable guide to understanding today’s AI, its quest for “human-level” intelligence, and its impact on the future for us all.

    Is it in our genes? The structure of our brains? Our genome may determine our eye color and even aspects of our personality. But our friendships, failures, and passions also shape who we are. The question is: how?Sebastian Seung, a dynamic professor at MIT, is on a quest to discover the biological basis of identity. He believes it lies in the pattern of connections between the brain’s neurons, which change slowly over time as we learn and grow. The connectome, as it’s called, is where our genetic inheritance intersects with our life experience. It’s where nature meets nurture.Seung introduces us to the dedicated researchers who are mapping the brain’s connections, neuron by neuron, synapse by synapse. It is a monumental undertaking—the scientific equivalent of climbing Mount Everest—but if they succeed, it could reveal the basis of personality, intelligence, memory, and perhaps even mental disorders. Many scientists speculate that people with anorexia, autism, and schizophrenia are "wired differently," but nobody knows for sure. The brain’s wiring has never been clearly seen.In sparklingly clear prose, Seung reveals the amazing technological advances that will soon help us map connectomes. He also examines the evidence that these maps will someday allow humans to "upload" their minds into computers, achieving a kind of immortality.Connectome is a mind-bending adventure story, told with great passion and authority. It presents a daring scientific and technological vision for at last understanding what makes us who we are. Welcome to the future of neuroscience.

    Everything we think and everything we choose to do alters our brain and fundamentally changes who we are, a process that continues until the end of our lives. Few people think of the brain as being susceptible to change in its actual structure, but in fact we can preselect the kind of brain we will have by continually exposing ourselves to rich and varied life experiences. Unlike other organs that eventually wear out with repeated and sustained use, the brain actually improves the more we challenge it. Most of us incorporate some kind of physical exercise into our daily lives. We do this to improve our bodies and health and generally make us feel better. Why not do the same for the brain? The more we exercise it, the better it performs and the better we feel. Think of Restak as a personal trainer for your brain—he will help you assess your mental strengths and weaknesses, and his entertaining book will set you to thinking about the world and the people around you in a new light, providing you with improved and varied skills and capabilities. From interacting with colleagues to recognizing your own psychological makeup, from understanding the way you see something to why you’re looking at it in the first place, from explaining the cause of panic attacks to warding off performance anxiety, this book will tell you the whys and hows of the brain’s workings. Packed with practical advice and fascinating examples drawn from history, literature, and science, Mozart’s Brain and the Fighter Pilot provides twenty-eight informative and realistic steps that we can all take to improve our brainpower.

    It is the natural way in which we interpret, predict, and participate in social behavior and communication. We ascribe mental states to people: states such as thoughts, desires, knowledge, and intentions.Building on many years of research, Baron-Cohen concludes that children with autism, suffer from "mindblindness" as a result of a selective impairment in mindreading. For these children, the world is essentially devoid of mental things.Baron-Cohen develops a theory that draws on data from comparative psychology, from developmental, and from neuropsychology. He argues that specific neurocognitive mechanisms have evolved that allow us to mindread, to make sense of actions, to interpret gazes as meaningful, and to decode "the language of the eyes."A Bradford Book

    They are vehicles, a series of hypothetical, self-operating machines that exhibit increasingly intricate if not always successful or civilized behavior. Each of the vehicles in the series incorporates the essential features of all the earlier models and along the way they come to embody aggression, love, logic, manifestations of foresight, concept formation, creative thinking, personality, and free will. In a section of extensive biological notes, Braitenberg locates many elements of his fantasy in current brain research.

    It avoids overburdening the reader with topographical detail that is unnecessary for the medical student. Minimum assumptions are made of existing knowledge of the subject.'Key point' boxes for reinforcement and quick revision Glossary of important terms 'Clinical detail' boxes closely integrated with relevant neuroanatomyComplete revision and updating of text. Revision nad expansion of summary chapter, providing overview of entire subject. Clinical material updated to reflect current prevalence of neurological disease. Artwork entirely redrawn for improved clarity and closer integration with text.

    Sleep patterns may be the most obvious manifestation of the highly individualized biological clocks we inherit, but these clocks also regulate bodily functions from digestion to hormone levels to cognition. Living at odds with our internal timepieces, Till Roenneberg shows, can make us chronically sleep deprived and more likely to smoke, gain weight, feel depressed, fall ill, and fail geometry. By understanding and respecting our internal time, we can live better.Internal Time combines storytelling with accessible science tutorials to explain how our internal clocks work—for example, why morning classes are so unpopular and why “lazy” adolescents are wise to avoid them. We learn why the constant twilight of our largely indoor lives makes us dependent on alarm clocks and tired, and why social demands and work schedules lead to a social jet lag that compromises our daily functioning.Many of the factors that make us early or late “chronotypes” are beyond our control, but that doesn’t make us powerless. Roenneberg recommends that the best way to sync our internal time with our external environment and feel better is to get more sunlight. Such simple steps as cycling to work and eating breakfast outside may be the tickets to a good night’s sleep, better overall health, and less grouchiness in the morning.[Description taken from publisher's web site.]

    'Foundations of Physiological Psychology' offers a briefer, 16 chapter introduction to the foundations of physiology, incorporating the latest studies and research in the rapidly changing fields of neuroscience and physiological psychology.

    In this free collection of excerpts, enjoy a taste of all of Vince Flynn’s thrillers starring CIA superagent Mitch Rapp.