The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

    This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science. Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.

    "Using Econometrics: A Practical Guide "provides readers with a practical introduction that combines single-equation linear regression analysis with real-world examples and exercises. This text also avoids complex matrix algebra and calculus, making it an ideal text for beginners. New problem sets and added support make "Using Econometrics" modern and easier to use.

    Provies basic theoretical discussions of the principles of biopharmaceutics and pharmacokinetics, along with illustrative examples and practice problems and solutions to help the student gain skill in practical problem solving.

    It contains descriptions of numerous vocabulary learning strategies which are justified and supported by reference to experimental research, case studies, and teaching experience. It also describes what vocabulary learners need to know to be effective language users. Learning Vocabulary in Another Language shows that by taking a systematic approach to vocabulary learning, teachers can make the best use of class time and help learners get the best return for their learning effort. It will quickly establish itself as the point of reference for future vocabulary work.

    Ian Stewart presents us with a wealth of magical puzzles, each one spun around an amazing tale, including Counting the Cattle of the Sun, The Great Drain Robbery, and Preposterous Piratical Predicaments. Fully illustrated with explanatory diagrams, each tale is told with engaging wit, sure to amuse everyone with an interest in puzzles and mathematics. Along the way, we also meet many curious characters. Containing twenty specially-commissioned cartoons, this book will delight all who are familiar with Stewart's many other books, such as What Shape is a Snowflake? and Flatterland and anyone interested in mathematical problems. In short, these stories are engaging, challenging, and lots of fun!

    The Golden Section—otherwise known as phi, the golden mean, or the golden ratio—is one of the most elegant and beautiful rations in the universe.Defined as a line segment divided into two unequal parts, such that the ratio of the shorter portion to the longer portion is the same as the ratio of the longer portion to the whole, it pops up throughout nature—in water, DNA, the proportions of fish and butterflies, and the number of teeth we possess—as well as in art and architecture, music, philosophy, science, and mathematics.Beautifully illustrated, The Golden Section tells the story of this remarkable construct and its wide-ranging impact on civilization and the natural world.

    Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.Heath's translation has stood the test of time, and, as one done by a renowned scholar of ancient mathematics, it can be relied upon not to have inadvertantly introduced modern concepts or nomenclature. We have excised the voluminous historical and scholarly commentary that swells the Dover edition to three volumes and impedes classroom use of the original text. The single volume is not only more convenient, but less expensive as well.

    They will also develop a deeper understanding of the many interconnections that exist among the different areas of psychology. Goodwin's book not only provides accounts of the lives and contributions of psychology's pioneers set into historical context; it also contains original writings by these psychologists, interwoven with informative comments from the author. The text is written in a conversational and engaging style with discrete attention to recent scholarship in the history of psychology, especially that of the past 150 years.

    

    Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

    Why is it better to buy a lottery ticket on a Friday? Why are showers always too hot or too cold? And what's the connection between a rugby player taking a conversion and a tourist trying to get the best photograph of Nelson's Column?These and many other fascinating questions are answered in this entertaining and highly informative book, which is ideal for anyone wanting to remind themselves – or discover for the first time – that maths is relevant to almost everything we do.Dating, cooking, travelling by car, gambling and even life-saving techniques have links with intriguing mathematical problems, as you will find explained here. Whether you have a PhD in astrophysics or haven't touched a maths problem since your school days, this book will give you a fresh understanding of the world around you.

    Not just a collection of anecdotes but a fair, reasoned appraisal of eccentric theory, it is unique in recognizing the scientific, philosophic, and sociological-psychological implications of the wave of pseudoscientific theories which periodically besets the world.To this second revised edition of a work formerly titled In the Name of Science, Martin Gardner has added new, up-to-date material to an already impressive account of hundreds of systematized vagaries. Here you will find discussions of hollow-earth fanatics like Symmes; Velikovsky and wandering planets; Hörbiger, Bellamy, and the theory of multiple moons; Charles Fort and the Fortean Society; dowsing and the other strange methods for finding water, ores, and oil. Also covered are such topics as naturopathy, iridiagnosis, zone therapy, food fads; Wilhelm Reich and orgone sex energy; L. Ron Hubbard and Dianetics; A. Korzybski and General Semantics. A new examination of Bridey Murphy is included in this edition, along with a new section on bibliographic reference material.

    Soon, however, there was talk from Chomsky and his associates about plumbing mental structure; then there was a new phonology; and then there was a new set of goals for the field, cutting it off completely from its anthropological roots and hitching it to a new brand of psychology. Rapidly, all of Chomsky's ideas swept the field. While the entrenched linguists were not looking for a messiah, apparently many of their students were. There was a revolution, which colored the field of linguistics for the following decades. Chomsky's assault on Bloomfieldianism (also known as American Structuralism) and his development of Transformational-Generative Grammar was promptly endorsed by new linguistic recruits swelling the discipline in the sixties. Everyone was talking of a scientific revolution in linguistics, and major breakthroughs seemed imminent, but something unexpected happened--Chomsky and his followers had a vehement and public falling out.In The Linguistic Wars, Randy Allen Harris tells how Chomsky began reevaluating the field and rejecting the extensions his students and erstwhile followers were making. Those he rejected (the Generative Semanticists) reacted bitterly, while new students began to pursue Chomsky's updated vision of language. The result was several years of infighting against the backdrop of the notoriously prickly sixties. The outcome of the dispute, Harris shows, was not simply a matter of a good theory beating out a bad one. The debates followed the usual trajectory of most large-scale clashes, scientific or otherwise. Both positions changed dramatically in the course of the dispute--the triumphant Chomskyan position was very different from the initial one; the defeated generative semantics position was even more transformed. Interestingly, important features of generative semantics have since made their way into other linguistic approaches and continue to influence linguistics to this very day. And fairly high up on the list of borrowers is Noam Chomsky himself. The repercussions of the Linguistics Wars are still with us, not only in the bruised feelings and late-night war stories of the combatants, and in the contentious mood in many quarters, but in the way linguists currently look at language and the mind. Full of anecdotes and colorful portraits of key personalities, The Linguistics Wars is a riveting narrative of the course of an important intellectual controversy, and a revealing look into how scientists and scholars contend for theoretical glory.

    These teachings of Sage Vasistha imparted to Lord Rama, contain the true understanding about the creation of the world. The Supreme Yoga, with Romanised text, is a translation into English of this complete work and is accompanied by brief expositions by Swami Venkatesananda. This book brings this store house of wisdom to our world and makes the philosophy comprehensible to scholars and common people alike.The Yoga Vasistha has been a favourite book of spiritual seekers in India these several centuries. Its special appeal lies in its thoroughly rational approach. and in its presentation of Vedanta as a philosophy which dares, like the The Bhagavad Gita, to bridge the gulf between the secular and the sacred action and contemplation. in human life. through a comprehensive and lofty spirituality. The reader will come across passages such as the verse entry for 31 st January. highlighting the importance of reason:"The remark of even a child is to be accepted, if it is in accordance with reason: but the remark of even Brahma Himself; the creator of the world, is to be rejected like a piece of straw, if it does not accord with reason."It is this philosophy of a comprehensive spirituality. rational and practical. that man in the modern age needs to rescue himself from his stagnation of worldliness and put him on the high road of creative living and fulfilment.The text abounds in repetitions which are, however, not repetitious. If you do not like (or need) repetition, then readjust this one verse: "This world appearance is a confusion: even as the blueness of the sky is an optical illusion. I think it is better not to let the mind dwell on it, but to ignore it. "(I - 3/2) "This verse occurs several times in the scripture and it sems to be the very essence of the teaching. If that is not quite clear to you now, read the scripture. The numerous ways in which this truth IS revealed will help open your mind.An oft recurring expression in this scripture is 'kakataliya' - a crow alights on the coconut palm tree and at that very moment a ripe coconut falls. The two unrelated events thus seem to be related in time and space, though there is no causal relationship.Such is life. Such is 'creation'. But the mind caught up in its' own trap of logic questions why, invents a 'why' and a 'wherefore' to satisfy itself, conveniently ignoring the inconvenient questions that still haunt an intelligent mind.