This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

    do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.Math underpins everything in the cosmos, including us, yet too few of us understand this universal language well enough to revel in its wisdom, its beauty — and its joy. This deeply enlightening, vastly entertaining volume translates math in a way that is at once intelligible and thrilling. Each trenchant chapter of The Joy of x offers an “aha!” moment, starting with why numbers are so helpful, and progressing through the wondrous truths implicit in π, the Pythagorean theorem, irrational numbers, fat tails, even the rigors and surprising charms of calculus. Showing why he has won awards as a professor at Cornell and garnered extensive praise for his articles about math for the New York Times, Strogatz presumes of his readers only curiosity and common sense. And he rewards them with clear, ingenious, and often funny explanations of the most vital and exciting principles of his discipline.Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x.

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    Explaining Jung's complex ideas in simple terms, and backing it up with references to his own texts, you will learn all the essential concepts, from the collective unconscious to archetypes in dreams. You will learn about Jung's upbringing and the development of his thinking. Discover his early work and influences and how they came to shape his ideological and spiritual development. The intricacies of Jung's complex systems of thought are discussed in a straightforward and jargon-free way with particular focus on his lifelong fascination with the spiritual, the numinous, the inner world and the self-realization of the unconscious. Jung's exploration of mythology, dreams, visions and fantasies, as well as his studies into the journey of the psyche, are all explained, making often complex theories easy to get to grips with and the book also looks at his legacy and how his work and ideas have shaped psychology with many therapists still trained in the Jungian method.

    This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    But recent technological advances have made the question both practical and urgent. A brilliantly imaginative group of physicists at Oxford University have risen to the challenge. This is their story. At long last, there is a sensible way to think about quantum mechanics. The new view abolishes the need to believe in randomness, long-range spooky forces, or conscious observers with mysterious powers to collapse cats into a state of life or death. But the new understanding comes at a price: we must accept that we live in a multiverse wherein countless versions of reality unfold side-by-side. The philosophical and personal consequences of this are awe-inspiring.The new interpretation has allowed imaginative physicists to conceive of wonderful new technologies: measuring devices that effectively share information between worlds and computers that can borrow the power of other worlds to perform calculations. Step by step, the problems initially associated with the original many-worlds formulation have been addressed and answered so that a clear but startling new picture has emerged.Just as Copenhagen was the centre of quantum discussion a lifetime ago, so Oxford has been the epicenter of the modern debate, with such figures as Roger Penrose and Anton Zeilinger fighting for single-world views, and David Deutsch, Lev Vaidman and a host of others for many-worlds.An independent physicist living in Oxford, Bruce has had a ringside seat to the debate. In his capable hands, we understand why the initially fantastic sounding many-worlds view is not only a useful way to look at things, but logically compelling. Parallel worlds are as real as the distant galaxies detected by the Hubble Space Telescope, even though the evidence for their existence may consist only of a few photons.

    Drawing on cutting-edge science, they begin at the limits of the observable universe, a scale spanning 10^27 meters--about 93 billion light-years. And they end in the subatomic realm, at 10^-35 meters, where the fabric of space-time itself confounds all known rules of physics. In between are galaxies, stars and planets, oceans and continents, plants and animals, microorganisms, atoms, and much, much more. Stops along the way--all enlivened by Scharf's sparkling prose and his original insights into the nature of our universe--include the brilliant core of the Milky Way, the surface of a rogue planet, the back of an elephant, and a sea of jostling quarks.The Zoomable Universe is packed with more than 100 original illustrations and infographics that will captivate readers of every age. It is a whimsical celebration of discovery, a testament to our astounding ability to see beyond our own vantage point and chart a course from the farthest reaches of the cosmos to its subatomic depths--in short, a must-have for the shelves of all explorers.

    Yet The Origin of Species (1859) is also a humane and inspirational vision of ecological interrelatedness, revealing the complex mutual interdependencies between animal and plant life, climate and physical environment, and—by implication—within the human world. Written for the general reader, in a style which combines the rigour of science with the subtlety of literature, The Origin of Species remains one of the founding documents of the modern age.

    Some of these incredible devices may still be far from our reach, but others have made the leap from science fiction to science fact—and now you can learn the science and engineering of what makes them tick.Treknology looks at over twenty-five iconic inventions from the complete history of the Star Trek television and film universe. Author Ethan Siegel explores and profiles these dazzling technologies and their role Star Trek, the science behind how they work, and how close we are to achieving them in the real world today.This stunning collection is packed with 150 superb film and television stills, prop photography, and scientific diagrams to pull you into another world. Brace yourself for a detailed look at the inner workings of Star Trek’s computing capabilities, communications equipment, medical devices, and awe-inspiring ships. This book is one that no fan of Star Trek, or future tech, will want to miss.

    Now revised and updated to include expanded coverage of monetary policy, this volume traces the history of macroeconomics and the evolution of macroeconomic thought and the resulting theory and policy.

    Now in its fourth edition, the work has been extensively revised, with entirely new artwork, updated examples and new pedagogical features. An interactive CD-ROM with worked examples is included. Alternatively, the material on from the CD-ROM can be down-loaded from a website (see supplements section). Twentieth-century developments such as quantum mechanics are introduced early on, so that students can appreciate their importance and see how they fit into the bigger picture.

    joyfully shows you how to make nature's numbers dance."--Bill Nye (the science guy)The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples-from ice-cream scoops and poker hands to measuring mountains and making magic squares-this book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, of course, mathematical magic tricks. Known throughout the world as the "mathemagician," Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand for math fan and math-phobic alike."A positively joyful exploration of mathematics."-Publishers Weekly, starred review"Each [trick] is more dazzling than the last."-Physics World

    I am only passionately curious.I have reached an age when, if someone tells me to wear socks, I don't have to.--Albert EinsteinAlbert Einstein was a prolific--and often thoughtful and gifted--writer, and he is immensely quotable. This collection of approximately 550 quotations by and about Einstein for the first time arranges his thoughts and ideas thematically. Here we can easily find Einstein's thoughts on everything from America and Americans, Germans and Germany, Jews and Zionism, war and peace, politics, religion and science, to more personal subjects, such as abortion, youth and aging, love and marriage, music, and pets. There is something to please everyone--and something to offend everyone. Also included are sections on what Einstein has said about other famous people, what others have said about him, a chronology including biographical data, an updated family tree that includes great-great-grandchildren, answers to the most common questions about Einstein, and a selected bibliography. The book includes an engaging foreword by Princeton physicist Freeman Dyson.To help the reader or researcher, two indexes are provided. The Index of Key Words will help readers find familiar quotations, and the Subject Index will lead them to subjects of particular interest. The book provides documentation, generally of primary sources such as the Einstein Archive and The Collected Papers of Albert Einstein.This book introduces readers to Einstein's many sides: by turns irascible and benign, warmly humorous and coldly dismissive, one who was at first bemused by the fame the world bestowed on him but who came to abhor the glare of publicity. We also see Einstein's development from the earliest quotations of a seventeen-year-old boy to his final words at age seventy-six.-- "The Bloomsbury Review"

    String Theory For Dummies offers an accessible introduction to this highly mathematical "theory of everything," which posits ten or more dimensions in an attempt to explain the basic nature of matter and energy. Written for both students and people interested in science, this guide explains concepts, discusses the string theory's hypotheses and predictions, and presents the math in an approachable manner. It features in-depth examples and an easy-to-understand style so that readers can understand this controversial, cutting-edge theory.

    In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.