Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

    Each chapter includes many illustrative examples to assist the reader. The book emphasizes methods for finding solutions to differential equations. It provides many abundant exercises, applications, and solved examples with careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits. A valuable reference book for readers interested in exploring the technological and other applications of differential equations.

    These are the same rules that all my top students used to become masters with the English language. Implement 1 of these rules, and your English will improve. Implement all 10, and you're sure to become an excellent English speaker.

     In our world today we hear a lot about self-love; a lot about embracing who you are now. But if you really love yourself and your body, you wouldn't act like you have a spare. It is never too late to love yourself enough to be healthy. WARNING IF YOU ARE SENSITIVE, DO NOT BUY THIS BOOK. It's not for you. This book is for people with thick skin who believe good health is more important than polite presentation. So if you care about getting healthy, staying fit, and doing it in a sustainable way - then consider this book your drill instructor (harsh language and all). ABOUT THE AUTHOR Alan Roberts is the founder of Every Damn Day Fitness and Co-Founder of the Damn Collective with his wife Crystal. Together, they have helped thousands of people increase the quality of their lives by coaching them to healthier habits, wisdom which they accrued through trial and error in their own lives. Originally from Pittsburgh, PA, Alan now resides in sunny, south west Florida.

    History is designed to meet the scope and sequence requirements of most introductory courses. The text provides a balanced approach to U.S. history, considering the people, events, and ideas that have shaped the United States from both the top down (politics, economics, diplomacy) and bottom up (eyewitness accounts, lived experience). U.S. History covers key forces that form the American experience, with particular attention to issues of race, class, and gender.

    The author investigates three converging elements in his examination of human differences: individual attitudes and behaviors, cultural expectations, and institutional policies and practices. This examination provides the basis for the conceptual organization of the text.

    More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you:  Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.

    All concepts are fully illustrated with sample work by internationally renowned professionals, representing editorial work, photojournalism, and everything in between. Topics covered include essential information for both film and digital photography, such as exposure controls and shutter speed, as well as digital-specific information on image editing, printing methods, and even file storage. The first digital textbook by legendary photography teacher Henry Horenstein, Digital Photography is the best guide yet for aspiring digital photographers, essential both for photographers transitioning from film to digital and those learning the art of photography for the first time.

    Quine's areas of interest are panoramic, as this lively book amply demonstrates.Moving from A (alphabet) to Z (zero), Quiddities roams through more than eighty topics, each providing a full measure of piquant thought, wordplay, and wisdom, couched in easy and elegant prose--"Quine at his unbuttoned best," in Donald Davidson's words. Philosophy, language, and mathematics are the subjects most fully represented; tides of entries include belief, communication, free will, idiotisms, longitude and latitude, marks, prizes, Latin pronunciation, tolerance, trinity. Even the more technical entries are larded with homely lore, anecdote, and whimsical humor.Quiddities will be a treat for admirers of Quine and for others who like to think, who care about language, and who enjoy the free play of intellect on topics large and small. For this select audience, it is an ideal book for browsing.

    Simmons advocates a careful approach to the subject, covering such topics as the wave equation, Gauss's hypergeometric function, the gamma function and the basic problems of the calculus of variations in an explanatory fashions - ensuring that students fully understand and appreciate the topics.

    The perfect choice for advanced-level students wanting to build their vocabulary skills. English Vocabulary in Use: Advanced includes over 2,000 new words and expressions which are presented and practised in typical contexts appropriate to this level. The book is informed by the Cambridge International Corpus to ensure that the vocabulary selected is useful and up-to-date. A test book (Test Your English Vocabulary in Use: Advanced - 0521 54534X) is also available for extra practice. This 'with answers' edition is ideal for self-study.

    But how did it evolve? How did a language spoken originally by a few thousand Anglo-Saxons become one used by more than 1,500 million? What developments can be seen as we move from Beowulf to Chaucer to Shakespeare to Dickens and the present day? A host of fascinating questions are answered in The Stories of English, a groundbreaking history of the language by David Crystal.

    Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

    It contains everything the student needs to know about the psychology of language, including how we acquire, understand, produce, and store language. The third edition contains new chapters on how children learn to read, and how language is used in everyday settings. It also describes recent research on the impact of new techniques of brain imaging.The text is comprehensive and written in a lively and accessible style. It covers all the main topics in this complex field, focusing on reading, writing, speaking, and listening in both adult and child language. There is an emphasis on language processing as well as language production and coverage of the social basis of language. The text covers recent connectionist models of language, describing complex ideas in a clear and approachable manner. Following a strong developmental theme, the text describes how children acquire language (sometimes more than one), and also how they learn to read. The Psychology of Language also demonstrates how language is related to the brain and to other aspects of cognition.The Psychology of Language assumes no prior knowledge other than a grounding in the basic concepts of cognitive psychology. This third edition of this bestselling textbook will be essential reading for any student of cognition, psycholinguistics or the psychology of language. It will also be useful for those on speech and language therapy courses.

    This cultural history of Japan explains the diverse cultural traditions that underlie modern Japan and offers readers real insights into Japanese manners and etiquette. Davies begins with an investigation of the origins of the Japanese, followed by an analysis of the most relevant approaches used by scholars to describe the essential elements of Japanese culture. From there, each chapter focuses on one of the formative aspects: Shintoism, Buddhism, Taoism, Zen, Confucianism, and Western influences in the modern era. Each chapter is concluded with extensive endnotes along with thought-provoking discussion activities, making this volume ideal for individual readers and classroom instruction. Anyone interested in pursuing a deeper understanding of this complex and fascinating nation will find Davies's work an invaluable resource.