It is a book of perennial interest and many-sided usefulness for self-culture, selfknowledge,acquisition of the power of personality and success in life.It is a work that edifies, imparts illumination to the intelligence, and empowers humanwill for good and for achievement of greatness. Students, grown-up persons, doctors, lawyers, businessmen, seekers after Truth and lovers of God—all are bound to find in the pages of this publication plenty of specific guidance for thought-culture and thought power and for living a positive, dynamic, rich, triumphant and joyous life.

    As he did so masterfully in Prime Obsession, Derbyshire brings the evolution of mathematical thinking to dramatic life by focusing on the key historical players. Unknown Quantity begins in the time of Abraham and Isaac and moves from Abel's proof to the higher levels of abstraction developed by Galois through modern-day advances. Derbyshire explains how a simple turn of thought from this plus this equals this to this plus what equals this? gave birth to a whole new way of perceiving the world. With a historian's narrative authority and a beloved teacher's clarity and passion, Derbyshire leads readers on an intellectually satisfying and pleasantly challenging historical and mathematical journey.

    His works form the core of more than two thousand years of Oriental civilization, and even today, when he has been officially discarded, his thought remains important for understanding the present as well as the past. Yet Confucius is the property of not only the Orientalists: his ideas stood behind much of the rational social thought of the European Enlightenment, as great philosophers from Leibnitz on seized with delight "the perfect ethic without supernaturalism: that China offered them.The present edition of the wisdom of Confucius is certainly the best edition ever prepared in the West. The results of many years of study in China by the great Sinologist James Legge, it contains the entire Chinese text of the Analects (or sayings) of Confucius in large, readable characters, and beneath this Legge's full translation, which has been accepted as the definitive, standard English version. The book also includes The Great Learning and The Doctrine of the Mean.In addition to the texts and translation, a wealth of helpful material is offered to the reader: countless notes embodying textual studies, commentators' opinions, interpretation of individual characters, disputed meanings, and similar material. More than 125 pages of introduction cover the Chinese classics, the history of the texts in this volume, and the life and influence of Confucius. Most useful, too, is a complete dictionary of all the Chinese characters in the book, with meanings, grammatical comments, place locations, and similar data. Subject and name indexes enable you to find material easily.

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    D. Williams wrote this entertaining, witty introduction for the nonscientist, game theory was still a somewhat mysterious subject familiar to very few scientists beyond those researchers, like himself, working for the military. Now, over thirty years after its original publication as a Rand Corporation research study, his light-hearted though thoroughly effective primer is the recognized classic introduction to an increasingly applicable discipline. Used by amateurs, professionals, and students throughout the world in the classroom, on the job, and for personal amusement, the book has been through ten printings, and has been translated into at least five languages (including Russian and Japanese).Revised, updated, and available for the first time in an inexpensive paperback edition, The Compleat Strategyst is a highly entertaining text essential for anyone interested in this provocative and engaging area of modern mathematics. In fully illustrated chapters complete with everyday examples and word problems, Williams offers readers a working understanding of the possible methods for selecting strategies in a variety of situations, simple to complex. With just a basic understanding of arithmetic, anyone can grasp all necessary aspects of two-, three-, four-, and larger strategy games with two or more sets of inimical interests and a limitless array of zero-sum payoffs.As research and study continues not only in this new discipline but in the related areas of statistics, probability and behavioral science, understanding of games, decision making, and the development of strategies will be increasingly important. In the areas of economics, sociology, politics, and the military, game theory is sure to have an even wider impact. For students and amateurs fascinated by game theory's implications there is no better, immediately applicable, or more entertaining introduction to the subject than this engaging text by the late J. D. Williams, Professor of Mathematics at Princeton University and a member of the Research Council of The Rand Corporation.

    More than anything else, he argues, it is the neglect of consciousness that results in so much barrenness and sterility in psychology, the philosophy of mind, and cognitive science: there can be no study of mind that leaves out consciousness. What is going on in the brain is neurophysiological processes and consciousness and nothing more -- no rule following, no mental information processing or mental models, no language of thought, and no universal grammar. Mental events are themselves features of the brain, "like liquidity is a feature of water."Beginning with a spirited discussion of what's wrong with the philosophy of mind, Searle characterizes and refutes the philosophical tradition of materialism. But he does not embrace dualism. All these "isms" are mistaken, he insists. Once you start counting types of substance you are on the wrong track, whether you stop at one or two. In four chapters that constitute the heart of his argument, Searle elaborates a theory of consciousness and its relation to our overall scientific world view and to unconscious mental phenomena. He concludes with a criticism of cognitive science and a proposal for an approach to studying the mind that emphasizes the centrality of consciousness to any account of mental functioning.In his characteristically direct style, punctuated with persuasive examples, Searle identifies the very terminology of the field as the main source of truth. He observes that it is a mistake to suppose that the ontology of the mental is objective and to suppose that the methodology of a science of the mind must concern itself only with objectively observable behavior; that it is also a mistake to suppose that we know of the existence of mental phenomena in others only by observing their behavior; that behavior or causal relations to behavior are not essential to the existence of mental phenomena; and that it is inconsistent with what we know about the universe and our place in it to suppose that everything is knowable by us.