Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams—all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    "Psychotherapy is all things to all people in this mega-selling pop-psychology watershed, which features a new introduction by the author in this 25th anniversary edition. His agenda in this tome, which was first published in 1978 but didn't become a bestseller until 1983, is to reconcile the psychoanalytic tradition with the conflicting cultural currents roiling the 70s. In the spirit of Me-Decade individualism and libertinism, he celebrates self-actualization as life's highest purpose and flirts with the notions of open marriage and therapeutic sex between patient and analyst. But because he is attuned to the nascent conservative backlash against the therapeutic worldview, Peck also cites Gospel passages, recruits psychotherapy to the cause of traditional religion (he even convinces a patient to sign up for divinity school) and insists that problems must be overcome through suffering, discipline and hard work (with a therapist.) Often departing from the cerebral and rationalistic bent of Freudian discourse for a mystical, Jungian tone more compatible with New Age spirituality, Peck writes of psychotherapy as an exercise in "love" and "spiritual growth," asserts that "our unconscious is God" and affirms his belief in miracles, reincarnation and telepathy. Peck's synthesis of such clashing elements (he even throws in a little thermodynamics) is held together by a warm and lucid discussion of psychiatric principles and moving accounts of his own patients' struggles and breakthroughs. Harmonizing psychoanalysis and spirituality, Christ and Buddha, Calvinist work ethic and interminable talking cures, this book is a touchstone of our contemporary religio-therapeutic culture." -- Publishers WeeklyKeywords: MIND & BODY PSYCHOLOGY SOCIOLOGY RELIGION

    Along the way, Wells considers such diverse subjects as the Neolithic era, the rise of Judaism, the Golden Age of Athens, the life of Christ, the rise of Islam, the discovery of America and the Industrial Revolution. Breathtaking in its scope and passionate in its intensity, this history remains one of the most readable of its kind.

    Why do living things and physical phenomena take the forms they do? Analyzing the mathematical and physical aspects of biological processes, this historic work, first published in 1917, has become renowned as well for the poetry of is descriptions.

    Sipser's candid, crystal-clear style allows students at every level to understand and enjoy this field. His innovative "proof idea" sections explain profound concepts in plain English. The new edition incorporates many improvements students and professors have suggested over the years, and offers updated, classroom-tested problem sets at the end of each chapter.

    By presenting actual experiences and analyzing them as they are described, the author conveys the developmental thought processes employed and shows a style of thinking that leads to successful results is something that can be learned. Along with spectacular successes, the author also conveys how failures contributed to shaping the thought processes. Provides the reader with a style of thinking that will enhance a person's ability to function as a problem-solver of complex technical issues. Consists of a collection of stories about the author's participation in significant discoveries, relating how those discoveries came about and, most importantly, provides analysis about the thought processes and reasoning that took place as the author and his associates progressed through engineering problems.

    Symptoms include:*Acute embarrassment at the mere notion of making a fuss;*Extreme awkwardness when faced with any social greeting beyond a brisk handshake;*An unhealthy preoccupation with meteorology.Doctors have also reported several cases of unnecessary apologising, an obsessive interest in correct queuing etiquette and dramatic sighing in the presence of loud teenagers on public transport. If you have experienced any of these symptoms, you may be suffering from VERY BRITISH PROBLEMS. VERY BRITISH PROBLEMS are highly contagious. There is no known cure.Rob Temple's hilarious new book reveals all the ways in which we are a nation of socially awkward but well-meaning oddballs, struggling to make it through every day without apologising to an inanimate object. Take comfort in misfortunes of others. You are not alone.

    Organized around the central concept of a vector space, the book includes numerous physical applications in the body of the text as well as many problems of a physical nature. It is also one of the purposes of this book to introduce the physicist to the language and style of mathematics as well as the content of those particular subjects with contemporary relevance in physics.Chapters 1 and 2 are devoted to the mathematics of classical physics. Chapters 3, 4 and 5 — the backbone of the book — cover the theory of vector spaces. Chapter 6 covers analytic function theory. In chapters 7, 8, and 9 the authors take up several important techniques of theoretical physics — the Green's function method of solving differential and partial differential equations, and the theory of integral equations. Chapter 10 introduces the theory of groups. The authors have included a large selection of problems at the end of each chapter, some illustrating or extending mathematical points, others stressing physical application of techniques developed in the text.Essentially self-contained, the book assumes only the standard undergraduate preparation in physics and mathematics, i.e. intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential equations. The text may be easily adapted for a one-semester course at the graduate or advanced undergraduate level.

    These sections together make an appropriate one-term advanced/graduate level course (mathematical prerequisites: vector analysis and simple partial-differential equations). The book is printed to make it easy for readers to identify these sections.• The remaining Track 2 material provides a wealth of advanced topics instructors can draw from to flesh out a two-term course, with Track 1 sections serving as prerequisites.

    Yet few people today are familiar with the majority of tales from the two early volumes, since in the next four decades the Grimms would publish six other editions, each extensively revised in content and style. For the very first time, " The Original Folk and Fairy Tales of the Brothers Grimm" makes available in English all 156 stories from the 1812 and 1815 editions. These narrative gems, newly translated and brought together in one beautiful book, are accompanied by sumptuous new illustrations from award-winning artist Andrea Dezso.From "The Frog King" to "The Golden Key," wondrous worlds unfold--heroes and heroines are rewarded, weaker animals triumph over the strong, and simple bumpkins prove themselves not so simple after all. Esteemed fairy tale scholar Jack Zipes offers accessible translations that retain the spare description and engaging storytelling style of the originals. Indeed, this is what makes the tales from the 1812 and 1815 editions unique--they reflect diverse voices, rooted in oral traditions, that are absent from the Grimms' later, more embellished collections of tales. Zipes's introduction gives important historical context, and the book includes the Grimms' prefaces and notes.A delight to read, "The Original Folk and Fairy Tales of the Brothers Grimm" presents these peerless stories to a whole new generation of readers."

    It is the best and most successful guide to reading comprehension for the general reader. And now it has been completely rewritten and updated. You are told about the various levels of reading and how to achieve them – from elementary reading, through systematic skimming and inspectional reading, to speed reading, you learn how to pigeonhole a book, X-ray it, extract the author's message, criticize. You are taught the different reading techniques for reading practical books, imaginative literature, plays, poetry, history, science and mathematics, philosophy and social science. Finally, the authors offer a recommended reading list and supply reading tests whereby you can measure your own progress in reading skills, comprehension and speed.This a previously-published edition of ISBN 9780671212094

    Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.

    This text uses place names to describe some of these meanings.

    Lewellyn Powys called it "the greatest work of prose of the greatest period of English prose-writing," while the celebrated surgeon William Osler declared it the greatest of medical treatises. And Dr. Johnson, Boswell reports, said it was the only book that he rose early in the morning to read with pleasure. In this surprisingly compact and elegant new edition, Burton's spectacular verbal labyrinth is sure to delight, instruct, and divert today's readers as much as it has those of the past four centuries.