These sections together make an appropriate one-term advanced/graduate level course (mathematical prerequisites: vector analysis and simple partial-differential equations). The book is printed to make it easy for readers to identify these sections.• The remaining Track 2 material provides a wealth of advanced topics instructors can draw from to flesh out a two-term course, with Track 1 sections serving as prerequisites.

    He argues that the only feasible explanations of scientific successes are historical explanations, and that anarchism must now replace rationalism in the theory of knowledge.

    The subject was the mystery of prime numbers. At the heart of the presentation was an idea that Riemann had not yet proved but one that baffles mathematicians to this day.Solving the Riemann Hypothesis could change the way we do business, since prime numbers are the lynchpin for security in banking and e-commerce. It would also have a profound impact on the cutting-edge of science, affecting quantum mechanics, chaos theory, and the future of computing. Leaders in math and science are trying to crack the elusive code, and a prize of $1 million has been offered to the winner. In this engaging book, Marcus du Sautoy reveals the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.

    Part I introduces concepts of thermodynamics and statistical mechanics from a unified view. Parts II and III explore further applications of classical thermodynamics and statistical mechanics. Throughout, the emphasis is on real-world applications.

    Yet, as the 1700s began, the mysteries of the universe were pondered by "natural philosophers"—the term "scientist" didn't even exist until the mid 19th century—whose explanations couldn't help but be influenced by the religious thought and political and social contexts that shaped their world.The radical ideas of the Enlightenment were especially important and influential. In this course you see how the work of these natural philosophers prepared the way for the more familiar world of science we recognize today.

    Ever since physics first penetrated the atom, early in this century, what it found there has stood as a radical and unanswered challenge to many of our most cherished conceptions of nature. It has literally been called into question since then whether or not there are always objective matters of fact about the whereabouts of subatomic particles, or about the locations of tables and chairs, or even about the very contents of our thoughts. A new kind of uncertainty has become a principle of science.This book is an original and provocative investigation of that challenge, as well as a novel attempt at writing about science in a style that is simultaneously elementary and deep. It is a lucid and self-contained introduction to the foundations of quantum mechanics, accessible to anyone with a high school mathematics education, and at the same time a rigorous discussion of the most important recent advances in our understanding of that subject, some of which are due to the author himself.

    Exploring the cinematic quality and features offered by hybrid DSLRs, this book empowers the filmmaker to craft visually stunning images inexpensively.Learn to think more like a cinematographer than a videographer, whether shooting for a feature, short fiction, documentary, video journalism, or even a wedding. DSLR Cinema offers insight into different shooting styles, real-world tips and techniques, and advice on postproduction workflow as it guides you in crafting a film-like look.Case studies feature an international cast of cutting edge DSLR shooters today, including Philip Bloom (England), Bernardo Uzeda (Brazil), Rii Schroer (Germany), Jeremy Ian Thomas (United States), Shane Hurlbut, ASC (United States), and Po Chan (Hong Kong). Their films are examined in detail, exploring how each exemplifies great storytelling, exceptional visual character, and how you can push the limits of your DSLR.

    John Taylor has brought to his new book, Classical Mechanics, all of the clarity and insight that made his introduction to Error Analysis a best-selling text.

    First exposed by Marx and Engels, Dialectical Materialism is a comprehensive methodology explaining the unity of the laws that govern nature, science and society, from evolution to chaos theory, nuclear physics to childhood development. First published in 1995 to coincide with Engel's centenary, Reason in Revolt has had a great success around the world. It has been published in Spanish, Italian, Greek, Turkish, Urdu, and is now being translated into German and Flemish. The Spanish edition recently went into its second edition. To date, no one has found serious fault with the science of the book. And every new discovery of science serves to confirm the statement of Engels, that "in the last analysis, Nature works dialectically."

    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..

    His words are still frequently quoted in devotions today and his key themes retain a striking contemporary relevance--what is the place of the Church in the world? What is the relation between nature and grace? In Augustine of Hippo, the late Henry Chadwick--a renowned authority on Augustine--describes with clarity and warmth the intellectual development of this key Father of the Church. In his characteristically rigorous yet sympathetic style, Chadwick traces Augustine's intellectual journey from schoolboy and student to Bishop and champion of Christendom in a period of intense political upheaval, providing valuable insight into the progression of Augustine's ideas. With a foreword reflecting on Chadwick's distinctive approach to Augustine by Peter Brown, and a further reading list on Augustine compiled by Gillian Clark, this volume is both an essential assessment of Augustine and a final tribute to one of the great church historians of the twentieth century.

    Beginning with the Big Bang, David Christian views the interaction of the natural world with the more recent arrivals in flora and fauna, including human beings.Cosmology, geology, archeology, and population and environmental studies—all figure in David Christian's account, which is an ambitious overview of the emerging field of "Big History." Maps of Time opens with the origins of the universe, the stars and the galaxies, the sun and the solar system, including the earth, and conducts readers through the evolution of the planet before human habitation. It surveys the development of human society from the Paleolithic era through the transition to agriculture, the emergence of cities and states, and the birth of the modern, industrial period right up to intimations of possible futures. Sweeping in scope, finely focused in its minute detail, this riveting account of the known world, from the inception of space-time to the prospects of global warming, lays the groundwork for world history—and Big History—true as never before to its name.

    And two giants at the foundations of modern science were converging, step-by-step, on the answer: Albert Einstein, an young, obscure German physicist experimenting with measuring time using telegraph networks and with the coordination of clocks at train stations; and the renowned mathematician Henri Poincaré, president of the French Bureau of Longitude, mapping time coordinates across continents. Each found that to understand the newly global world, he had to determine whether there existed a pure time in which simultaneity was absolute or whether time was relative.Esteemed historian of science Peter Galison has culled new information from rarely seen photographs, forgotten patents, and unexplored archives to tell the fascinating story of two scientists whose concrete, professional preoccupations engaged them in a silent race toward a theory that would conquer the empire of time.

    This behavior is very much different from what we humans are used to dealing with in our everyday lives, so naturally this subject is quite hard to comprehend for many. We believed that the best way to introduce the subject reliably is to start at the beginning, presenting the observations, thoughts and conclusions of each of the world’s greatest physicists through their eyes, one at a time. In this way we hope that the reader may take an enjoyable journey through the strange truths of quantum theory and understand why the conclusions of these great minds are what they are. This book starts with the most general view of the world and gradually leads readers to those new, unbelievable but real facts about the very nature of our universe.

    What's more, its potential is nearly limitless--every hour the sun beams down more energy than the world uses in a year. But in Taming the Sun, energy expert Varun Sivaram warns that the world is not yet equipped to harness erratic sunshine to meet most of its energy needs. And if solar's current surge peters out, prospects for replacing fossil fuels and averting catastrophic climate change will dim.Innovation can brighten those prospects, Sivaram explains, drawing on firsthand experience and original research spanning science, business, and government. Financial innovation is already enticing deep-pocketed investors to fund solar projects around the world, from the sunniest deserts to the poorest villages. Technological innovation could replace today's solar panels with coatings as cheap as paint and employ artificial photosynthesis to store intermittent sunshine as convenient fuels. And systemic innovation could add flexibility to the world's power grids and other energy systems so they can dependably channel the sun's unreliable energy.Unleashing all this innovation will require visionary public policy: funding researchers developing next-generation solar technologies, refashioning energy systems and economic markets, and putting together a diverse clean energy portfolio. Although solar can't power the planet by itself, it can be the centerpiece of a global clean energy revolution.A Council on Foreign Relations Book