Since the publication of the First Edition over thirty years ago, Div, Grad, Curl, and All That has been widely renowned for its clear and concise coverage of vector calculus, helping science and engineering students gain a thorough understanding of gradient, curl, and Laplacian operators without required knowledge of advanced mathematics.

    However, once their predictions were compared to the results of experiments in the real world, it became clear that the principles of classical physics and mechanics were far from capable of explaining phenomena on the atomic scale. With this realization came the advent of quantum physics, one of the most important intellectual movements in human history. Today, quantum physics is everywhere: it explains how our computers work, how lasers transmit information across the Internet, and allows scientists to predict accurately the behavior of nearly every particle in nature. Its application continues to be fundamental in the investigation of the most expansive questions related to our world and the universe.However, while the field and principles of quantum physics are known to have nearly limitless applications, the fundamental reasons why this is the case are far less understood. In Quantum Physics: What Everyone Needs to Know, quantum physicist Michael G. Raymer distills the basic principles of such an abstract field, and addresses the many ways quantum physics is a key factor in today's science and beyond. The book tackles questions as broad as the meaning of quantum entanglement and as specific and timely as why governments worldwide are spending billions of dollars developing quantum technology research. Raymer's list of topics is diverse, and showcases the sheer range of questions and ideas in which quantum physics is involved. From applications like data encryption and quantum computing to principles and concepts like "quantum nonlocality" and Heisenberg's uncertainty principle, Quantum Physics: What Everyone Needs to Know is a wide-reaching introduction to a nearly ubiquitous scientific topic.

    Sweeping through the centuries from ancient Babylon right up to the latest hi-tech experiments in genetics and particle physics, Fara's book also ranges internationally, challenging notions of European superiority by emphasizing the importance of scientific projects based around the world, including revealing discussions of China and the Islamic Empire alongside the more familiar stories about Copernicus's sun-centered astronomy, Newton's gravity, and Darwin's theory of evolution.We see for instance how Muslim leaders encouraged science by building massive libraries, hospitals, and astronomical observatories and we rediscover the significance of medieval Europe--long overlooked--where, surprisingly, religious institutions ensured science's survival, as the learning preserved in monasteries was subsequently developed in new and unique institutions: universities. Instead of focussing on esoteric experiments and abstract theories, she explains how science belongs to the practical world of war, politics, and business. And rather than glorifying scientists as idealized heroes, she tells true stories about real people--men (and some women) who needed to earn their living, who made mistakes, and who trampled down their rivals.

    But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

    Hewitt's text is famous for engaging readers with analogies and imagery from real-world situations that build a strong conceptual understanding of physical principles ranging from classical mechanics to modern physics. With this strong foundation, readers are better equipped to understand the equations and formulas of physics, and motivated to explore the thought-provoking exercises and fun projects in each chapter. Included in the package is the workbook. Mechanics, Properties of Matter, Heat, Sound, Electricity and Magnetism, Light, Atomic and Nuclear Physics, Relativity. For all readers interested in conceptual physics.

    Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.

    You'll find out how to unknot your DNA, how to count like a supercomputer and how to become famous for solving mathematics' most challenging problem.

    Examples of analytical techniques are drawn from such areas as life sciences, clinical chemistry, air and water pollution, and industrial analyses. New to this edition: Excel spreadsheets on CD-ROM * New chapters on good laboratory practice, as well as genomics and proteomics * A more modern flavor.

    Clarke thinks big, but Cliff Pickover outdoes them both. In his newest book, Cliff Pickover outdoes even himself, probing a mystery that has baffled mystics, philosophers, and scientists throughout history--What is the nature of time?In Time: A Traveler's Guide, Pickover takes readers to the forefront of science as he illuminates the most mysterious phenomenon in the universe--time itself. Is time travel possible? Is time real? Does it flow in one direction only? Does it have a beginning and an end? What is eternity? Pickover's book offers a stimulating blend of Chopin, philosophy, Einstein, and modern physics, spiced with diverting side-trips to such topics as the history of clocks, the nature of free will, and the reason gold glitters. Numerous diagrams ensure readers will have no trouble following along. By the time we finish this book, we understand a wide variety of scientific concepts pertaining to time. And most important, we will understand that time travel is, indeed, possible.

    Its tale is one riddled with jealousy, rivalry, missed opportunities and moments of genius. Piers Bizony tells the story of the young misfit New Zealander, Ernest Rutherford, who showed that the atom consisted mainly of empty space, a discovery that turned 200 years of classical physics on its head, and the brilliant Dane, Niels Bohr, who made the next great leap into the incredible world of quantum theory. Yet he and a handful of other Young Turks in this revolutionary new science weren't prepared for the shocks that Nature had up her sleeve. At the dawn of the Atomic Age, a dangerous new force was unleashed with terrifying speed...

    Quine's areas of interest are panoramic, as this lively book amply demonstrates.Moving from A (alphabet) to Z (zero), Quiddities roams through more than eighty topics, each providing a full measure of piquant thought, wordplay, and wisdom, couched in easy and elegant prose--"Quine at his unbuttoned best," in Donald Davidson's words. Philosophy, language, and mathematics are the subjects most fully represented; tides of entries include belief, communication, free will, idiotisms, longitude and latitude, marks, prizes, Latin pronunciation, tolerance, trinity. Even the more technical entries are larded with homely lore, anecdote, and whimsical humor.Quiddities will be a treat for admirers of Quine and for others who like to think, who care about language, and who enjoy the free play of intellect on topics large and small. For this select audience, it is an ideal book for browsing.

    These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    Topics covered in the book include linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and much more!The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems.This book can serve as a complete Algebra I course, and also includes many concepts covered in Algebra II. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of algebra will find this book an instrumental part of their mathematics libraries.656About the author: Richard Rusczyk is a co-author of Art of Problem Solving, Volumes 1 and 2, the author of Art of Problem Solving's Introduction to Geometry. He was a national MATHCOUNTS participant, a USA Math Olympiad winner, and is currently director of the USA Mathematical Talent Search.

    We are unhappy even after achieving what we desire. Happiness is all we want! suggests that the source of peace and happiness is within us, if we know the secret. The book's objective is to help us unlock that secret and attain a high level of overall well-being in order to lead a happy and fulfilling life and be the healthiest we can be, mentally and physically. A wide variety of tools and techniques are explained in simple language. Many real life experiences of the author as well as other people are interspersed through the book. Demystifying the spiritual aspect of wellbeing, this book integrates it with your life objectives. You can immensely improve not only the peace and happiness in your life but your beauty and appearance as well.self-development; self-improvement; personality development; wellbeing; physical;mental;spiritual; happiness; health;emotional