It provides up to date information on structural properties, the processing of materials and their applications.

    Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.

    Wolfram lets the world see his work in A New Kind of Science, a gorgeous, 1,280-page tome more than a decade in the making. With patience, insight, and self-confidence to spare, Wolfram outlines a fundamental new way of modeling complex systems. On the frontier of complexity science since he was a boy, Wolfram is a champion of cellular automata--256 "programs" governed by simple nonmathematical rules. He points out that even the most complex equations fail to accurately model biological systems, but the simplest cellular automata can produce results straight out of nature--tree branches, stream eddies, and leopard spots, for instance. The graphics in A New Kind of Science show striking resemblance to the patterns we see in nature every day. Wolfram wrote the book in a distinct style meant to make it easy to read, even for nontechies; a basic familiarity with logic is helpful but not essential. Readers will find themselves swept away by the elegant simplicity of Wolfram's ideas and the accidental artistry of the cellular automaton models. Whether or not Wolfram's revolution ultimately gives us the keys to the universe, his new science is absolutely awe-inspiring. --Therese Littleton

    This ninth edition covers both analytical and empirical approaches to the subject. The examples and templates provide students with resources for computer-numerical solutions.

    Cox and Forshaw's contention? There is no need for quantum mechanics to be viewed this way. There is a lot of mileage in the 'weirdness' of the quantum world, and it often leads to confusion and, frankly, bad science. The Quantum Universe cuts through the Wu Li and asks what observations of the natural world made it necessary, how it was constructed, and why we are confident that, for all its apparent strangeness, it is a good theory.The quantum mechanics of The Quantum Universe provide a concrete model of nature that is comparable in its essence to Newton’s laws of motion, Maxwell’s theory of electricity and magnetism, and Einstein’s theory of relativity.

    Laughlin transports us two centuries into the future, when we've ceased to use carbon from the ground--either because humans have banned carbon burning or because fuel has simply run out. Boldly, Laughlin predicts no earth-shattering transformations will have taken place. Six generations from now, there will still be soccer moms, shopping malls, and business trips. Firesides will still be snug and warm.How will we do it? Not by discovering a magic bullet to slay our energy problems, but through a slew of fascinating technologies, drawing on wind, water, and fire. Powering the Future is an objective yet optimistic tour through alternative fuel sources, set in a world where we've burned every last drop of petroleum and every last shovelful of coal.The Predictable: Fossil fuels will run out. The present flow of crude oil out of the ground equals in one day the average flow of the Mississippi River past New Orleans in thirteen minutes. If you add the energy equivalents of gas and coal, it's thirty-six minutes. At the present rate of consumption, we'll be out of fossil fuels in two centuries' time. We always choose the cheapest gas. From the nineteenth-century consolidation of the oil business to the California energy crisis of 2000-2001, the energy business has shown, time and again, how low prices dominate market share. Market forces--not green technology--will be the driver of energy innovation in the next 200 years. The laws of physics remain fixed. Energy will still be conserved, degrade entropically with use, and have to be disposed of as waste heat into outer space. How much energy a fuel can pack away in a given space is fixed by quantum mechanics--and if we want to keep flying jet planes, we will need carbon-based fuels. The Potential: Animal waste. If dried and burned, the world's agricultural manure would supply about one-third as much energy as all the coal we presently consume. Trash. The United States disposes of 88 million tons of carbon in its trash per year. While the incineration of waste trash is not enough to contribute meaningfully to the global demand for energy, it will constrain fuel prices by providing a cheap supply of carbon. Solar energy. The power used to light all the cities around the world is only one-millionth of the total power of sunlight pouring down on earth's daytime side. And the amount of hydropump storage required to store the world's daily electrical surge is equal to only eight times the volume of Lake Mead. PRAISE FOR ROBERT B. LAUGHLIN -Perhaps the most brilliant theoretical physicist since Richard Feynman---George Chapline, Lawrence Livermore National Laboratory -Powerful but controversial.--- Financial Times -[Laughlin's] company ... is inspirational.- --New Scientist

     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.

    This textbook, based on the author's own undergraduate teaching, develops general relativity and its associated mathematics from a minimum of prerequisites, leading to a physical understanding of the theory in some depth. It reinforces this understanding by making a detailed study of the theory's most important applications - neutron stars, black holes, gravitational waves, and cosmology - using the most up-to-date astronomical developments. The book is suitable for a one-year course for beginning graduate students or for undergraduates in physics who have studied special relativity, vector calculus, and electrostatics. Graduate students should be able to use the book selectively for half-year courses.

    This edition features new material on Controls, Computer-Aided Design and Manufacturing, and Off-Line Programming Systems.

    Each chapter includes many illustrative examples to assist the reader. The book emphasizes methods for finding solutions to differential equations. It provides many abundant exercises, applications, and solved examples with careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits. A valuable reference book for readers interested in exploring the technological and other applications of differential equations.

    In this experiment, a particle going through one of a pair of holes seems to be aware of what is going on at the other hole, and changes its behaviour according to whether that hole is open or closed. This is closely linked to the puzzle of entanglement, where one particle instantly reacts to what is happening to another particle, even when they are widely separated. And in a final example of the mind-boggling nature of the quantum world, these effects seem to operate across time as well as space: What is going to happen in the future affects the behaviour of a particle now. In The Quantum Mystery, John Gribbin, the best-selling author of In Search of Schrödinger’s Cat, describes the history of the double-slit experiment, the wave-particle duality of the quantum world, and the latest experiments which show these bizarre effects at work before our very eyes.

    National Geographic answers all the questions about technology, biology, chemistry, physics, math, engineering, computers, and mechanics--in an indispensable book that reveals the science behind virtually everything. How does the voice of a distant radio announcer make it through your alarm clock in the morning? How does your gas stove work? How does the remote control open your garage door? What happens when you turn the key in the ignition? What do antibiotics really do? Divided into four big realms--Mechanics, Natural Forces, Materials & Chemistry, Biology & Medicine--The Science of Everything takes readers on a fascinating tour, using plain talk, colorful photography, instructive diagrams, and everyday examples to explain the science behind all the things we take for granted in our modern world.

    The sixth edition explores core concepts in considerable depth and presents experimental detail when it helps to explain and reinforce the concepts. The majority of discussions have been modified to reflect the latest changes in the field. The book also builds on its strong illustration program by opening each chapter with “VIP” art that serves as a visual summary for the chapter. Over 60 new micrographs and computer-derived images have been added to enhance the material. Biologists benefit from these changes as they build their skills in making the connection. Doody Review Services Reviewer: Bruce A. Fenderson, PhD(Thomas Jefferson University) Description: The author expertly organizes, explains, and illustrates the chemical and cellular basis of life on Earth in this comprehensive and exciting introduction to cell and molecular biology. The 18 fascinating chapters cover topics ranging from control of gene expression to mechanisms of immune response. There is even a chapter on laboratory techniques. The focus of the book is on biological chemistry, with an emphasis on core concepts and experimental approaches. Purpose: The purpose is to provide a textbook for an introductory course in cell and molecular biology. The author hopes that students will visualize a world filled with "giant molecules and minuscule structures" that constitute the chemistry of life. He encourages students to consider the evidence that is presented to support a biological model, think of alternate explanations, and plan experiments that may lead to new hypotheses. One of the author's goals is to help students develop their independent, critical-thinking skills. Audience: This is an excellent companion textbook for undergraduate and graduate-level courses in cell and molecular biology. It is written for students across a wide range of life science disciplines

    They signify the recognition that the interaction between science and religious reflection is not limited to those topics (such as cosmic history) concerning which the two disciplines offer complementary insights. It involves also an engagement with habits of thought which are natural in a culture greatly influenced by the success of science. To take this stance is not to submit to slavery to the spirit of the age, but simply to acknowledge that we view things from where we stand, with all the opportunities and limitations inherent in that particular perspective. . . . My concern is to explore to what extent we can use the search for motivated understanding, so congenial to the scientific mind, as a route to being able to make the substance of Christian orthodoxy our own. Of course, there are some revisions called for in the process, but I do not find that a trinitarian and incarnational theology needs to be abandoned in favour of a toned-down theology of a Cosmic Mind and an inspired teacher, alleged to be more accessible to the modern mind. A scientist expects a fundamental theory to be tough, surprising and exciting. "Throughout, my aim will be to seek an understanding based on a careful assessment of phenomena as the guide to reality. Just as I cannot regard science as merely an instrumentally successful manner of speaking which serves to get things done, so I cannot regard theology as merely concerned with a collection of stories which motivate an attitude to life. It must have its anchorage in the way things actually are, and the way they happen. . . . A bottom-up thinker is bound to ask, What makes you think this story is a verisimilitudinous account of Reality? The anchorage of Christianity in history is to be welcomed, despite its hazards. For me, the Bible is neither an inerrant account of propositional truth nor a compendium of timeless symbols, but a historically conditioned account of certain significant encounters and experiences. Read in that way, I believe it can provide the basis for a Christian belief with is certainly revised in the light of our twentieth-century insights but which is recognizably contained within an envelope of understanding in continuity with the developing doctrine of the Church throughout the centuries." - from the introduction

    Covering various the materials needed by students in engineering, science, and mathematics, this calculus text makes effective use of computing technology, graphics, and applications. It presents at least two technology projects in each chapter.