In this book, William Cook takes readers on a mathematical excursion, picking up the salesman's trail in the 1800s when Irish mathematician W. R. Hamilton first defined the problem, and venturing to the furthest limits of today's state-of-the-art attempts to solve it. He also explores its many important applications, from genome sequencing and designing computer processors to arranging music and hunting for planets.In Pursuit of the Traveling Salesman travels to the very threshold of our understanding about the nature of complexity, and challenges you yourself to discover the solution to this captivating mathematical problem.

     This top-selling, theorem-proof text presents a careful treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.

    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.

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

    You can not study human nature from a book, you must study yourself and your neighbors. This book may help you to know what to look for and to understand what you find, but it can do little more than this. It is true, this text gives you many facts learned by psychologists, but you must verify the statements, or at least see their significance to you, or they will be of no worth to you. However, the facts considered here, properly understood and assimilated, ought to prove of great value to you. But perhaps of greater value will be the psychological frame of mind or attitude which you should acquire. The psychological attitude is that of seeking to find and understand the causes of human action, and the causes, consequences, and significance of the processes of the human mind. If your first course in psychology teaches you to look for these things, gives you some skill in finding them and in using the knowledge after you have it, your study should be quite worth while.

    Indeed, numbers are part of every discipline in the sciences and the arts.With 350 illustrations, including diagrams, photographs and computer imagery, the book chronicles the centuries-long search for the meaning of numbers by famous and lesser-known mathematicians, and explains the puzzling aspects of the mathematical world. Topics include:The earliest ideas of numbers and counting Patterns, logic, calculating Natural, perfect, amicable and prime numbers Numerology, the power of numbers, superstition The computer, the Enigma Code Infinity, the speed of light, relativity Complex numbers The Big Bang and Chaos theories The Philosopher's Stone. The Book of Numbers shows enthusiastically that numbers are neither boring nor dull but rather involve intriguing connections, rivalries, secret documents and even mysterious deaths.

    Lang, one of the worlds foremost origami artists and scientists, presents the never-before-described mathematical and geometric principles that allow anyone to design original origami, something once restricted to an elite few. From the theoretical underpinnings to detailed step-by-step folding sequences, this book takes a modern look at the centuries-old art of origami.

    Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.

    In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

    Mathematical concepts and computational problems are motivated by applications in computer science. The reader learns by "doing," writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. Examples include: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, integer factoring, removing perspective from an image, PageRank (Google's ranking algorithm), and cancer detection from cell features. A companion web site, codingthematrix.com provides data and support code. Most of the assignments can be auto-graded online. Over two hundred illustrations, including a selection of relevant "xkcd" comics. Chapters: "The Function," "The Field," "The Vector," "The Vector Space," "The Matrix," "The Basis," "Dimension," "Gaussian Elimination," "The Inner Product," "Special Bases," "The Singular Value Decomposition," "The Eigenvector," "The Linear Program"

    V. Quine presents logic as the product of two factors, truth and grammar--but argues against the doctrine that the logical truths are true because of grammar or language. Rather, in presenting a general theory of grammar and discussing the boundaries and possible extensions of logic, Quine argues that logic is not a mere matter of words.

    Unique in basing relativity on the Principle of Equivalence of Gravitation and Inertia over Riemannian geometry, this book explores relativity experiments and observational cosmology to provide a sound foundation upon which analyses can be made. Covering special and general relativity, tensor analysis, gravitation, curvature, and more, this book provides an engaging, insightful introduction to the forces that shape the universe.

    In leader David Miscavige's inner sanctum, they built their mental prison as they melded into its radicalized lifestyle where danger, captivity and abuse were normalized. After three escapes, Karen chose between two unbearable options. Escaping Scientology Part I sweeps you into the lives of two young adults filled with hope and love as designer Karen and her award-winning musician-composer husband Peter overcome obstacles to succeed in the music and fashion industries together. Scientology re-focuses their goals toward the importance of clearing the planet and recruiting celebrities to build Scientology's social capital. Karen portrays the basic beliefs of Scientology that led to her radicalization into the Sea Org at the Celebrity Centre, a fortress where artists aspire to achieve greatness while attaining spiritual freedom through L. Ron Hubbard’s teachings. Karen shows how celebrities are lured into Scientology and develop a co-dependent relationship from which few break out. Part II reveals Karen as a flawed and complex woman when she and Peter move to the secretive International Management headquarters, where they join 800 fanatical Sea Org members that made billion-year commitments to make this a Scientology world without war, criminality, or insanity. Karen finds the dystopian outpost and its global operations to be proof that Time magazine’s 1991 article, “The Thriving Cult of Greed and Power” captures the essence of Scientology’s mindset, that she describes as “war is everything and everything is war.” She is no passive victim as she attempts to stay in the driver’s seat and keep their marriage intact while fighting the pressures of the Int base culture that attempt to break them apart. Scientology goes under “Cruise Control” as Miscavige becomes obsessed with his biggest trophy, Tom Cruise, and stiffens his control and abusive punishment methods on the Int base staff. Karen rebels against regulations and spends time in Scientology’s prison camp. After two attempts to escape the Int base, she is trailed by security guards and coerced into returning. Failing to escape, she questions the evidence of her own senses, and makes a mind-twisting re-commitment to become the best version of a Sea Org member she can be. Karen carves out a world she can live within as she is promoted into the highest echelons of management, appointed by the Chairman of the Board RTC to Int Management Public Relations Officer and later to take charge of the image of Sea Org staff internationally from the Int Finance Office. While working on special projects under David and Shelley Miscavige, she travels to Scientology bases around the world where she sees human rights violations set in place by Hubbard’s policies that cause her to conclude Scientology is a for-profit business that builds billions of dollars of assets on the backs of Sea Org slave labor, while hiding behind the banner of the First Amendment, claiming benefits and protection as a non-profit religion. The epilogue of Part III portrays the mind-wrenching process of physical escape, and psychological anguish as Karen plies herself out of Scientology’s grip and endures its cruel disconnection policy. She re-acclimates herself to life on the outside while, brick by brick, she disassembles the walls of the mental prison she had built, and survives with the help of her accomplice and the love and support of her family. Karen's narrative memoir shows that Scientology's plan, authored by L.

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

    A timeless introduction to the field and a landmark in symbolic logic, showing that classical logic can be treated algebraically.