In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.

    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"

    "International Business: The Challenges of Globalization" presents international business in a comprehensive yet concise framework with unrivaled clarity. Real-world examples and engaging features help bring the concepts to life and make international business accessible to all readers. The sixth edition captures and explains the influence of the global credit crisis and recent recession on international business, while also emphasizing its focus on the crucial role of emerging markets in today's global marketplace. Accompanied by myIBlab!myIBlab-myiblab.com-is a powerful online tool that combines assessment, reporting, and personalized study to help you succeed. It offers a personalized, interactive learning environment for international business with many customizable features, making it an ideal online learning platform that embodies convenience and simplicity.

    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.

    Enjoy a thrilling intergalactic tour as Andrew Thomas redefines the force of gravity and introduces a brave new view of the universe!

    Ten dimensions? Most of us have barely gotten used to the idea that there are four.Using simple geometry and an easygoing writing style, author Rob Bryanton starts with the lower dimensions that we are all familiar with, then uses those concepts to build one layer upon another, ultimately arriving at a way of imagining the tenth dimension.Part scientific exploration, part philosophy, this unique book touches upon such diverse topics as dark matter, Feynman's "sum over paths", the quantum observer, and the soul. It is aimed at anyone interested in leading-edge theories about cosmology and the nature of reality, but it is not about mainstream physics. Rather, Imagining the Tenth Dimension is a mind-expanding exercise that could change the way you view this incredible universe in which we live.

    A full pharmacopoeia of natural remedies for common ailments and injuries, it also contains sections on homeopathy for children and pets.It covers the history and use of homeopathy in the home. It covers a wide variety of aspects of illness and homeopathy and chapters cover the following:What is Homeopathy?A Homeopathic Physician at WorkYour Home Remedy KitWhat to Do for AccidentsIn Case of EmergencyHow to Prevent and Treat Colds, Coughs and EarachesRemedies for Stomach and Bowel ProblemsA Happier Baby with Homeopathic CareYour Growing ChildWhat Homeopathy Can Do for WomenKeeping Your Pets HealthyRemedies and their AbbreviationsMini-RepertoryMateria Medica

    A wealth of accompanying figures and exercises illustrate and develop the material in more depth. They describe what a quantum computer is, how it can be used to solve problems faster than familiar "classical" computers, and the real-world implementation of quantum computers. Their book concludes with an explanation of how quantum states can be used to perform remarkable feats of communication, and of how it is possible to protect quantum states against the effects of noise.

    Linear algebra is tightly integrated into the text.

    They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide--more than 104,000 copies were bought of the prior edition--includes problems and examples using graphing calculators..

    In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

    Since David Horowitz wrote “The Shadow Party” in 2007, there has been a major breakthrough in the progression of Soros’ plan to racially change American institutions – he has succeeded in subverting and taking over the Democratic Party itself. Though Soros has carefully hidden his goals under the cloak of his philanthropy, Horowitz and John Perazzo expose Soros’ radical agenda in this booklet and show how his philanthropies actually work to advance his leftwing causes. Understanding the Soros agenda is critical for understanding and defeating the Obama agenda, because they have, in effect, become one in the same.

    Rare Book

    A man of faith ordained in the Protestant tradition, Heino Falcke wrestles with the ways in which black holes force us to confront the boundary where human life ends and the celestial begins. He also ponders why black holes are difficult for most of us to understand—comparing it to our inability to envisage our own inevitable death.Black holes develop in outer space when a massive star dies, and its matter is condensed. That extreme amount of mass contained in a small space generates a gigantic amount of gravitational force, allowing the black hole to suck up everything that comes near, including light. These astronomical wonders are the subject of our greatest scientific and philosophical theorizing—the journey to a black hole would be the journey to the end of time itself. In this way, Falcke regards them as the most exquisite representations of fear, death . . . and, surprisingly, the divine.Empirical and profound, A Light in the Darkness is the first work to examine both the physical nature and spiritual meaning of black holes, those astrophysical mysteries Falcke, calls “the epitome of merciless destruction.”