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    Language is informal, examples are vivid and lively, and the perspectivie is fresh. Based on lectures delivered to engineering students, this work will also be valued by scientists, engineers, technicians, businessmen, anyone facing energy challenges of the future.

    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.

    Initially quite isolated from one another, the people of Europe evolved intricate social systems and relationships with one another that eventually bonded them through trade and marriage. They built farms, villages, cities, and entire empires to protect their cultures and convert others to their ways of thinking, only to have it all crumble under the strength of the next warlord. Europe’s past is characterized by fighting and warfare, and it is punctuated with great works of art, philosophy, science, and technology. Even its recent history is much the same—that’s why so much of the globe was once ruled by European monarchies. Despite all the infighting and territorial exploits, Europeans have managed to create some of the most beautiful pieces of literature, architecture, political structures, and ideas the world has ever seen. In European History: A Captivating Guide to the History of Europe, Starting from the Neanderthals Through to the Roman Empire and the End of the Cold War, you will discover topics such as Prehistory The Neolithic Revolution The Bronze Age Early Tribes of Europe The Iron Age Prehistoric Britain The Classical Greeks The Roman Empire The Vikings The Dark Ages The Holy Roman Empire The Rise of Wessex The Norman Conquest Marco Polo and Renaissance Italy Joan of Arc Isabella I of Castile The Age of Discovery The Reformation The Enlightenment The French Revolution The Industrial Age The British Empire of Queen Victoria The Great War The Russian Revolution World War II The Cold War Era And much, much more! So if you want to learn more about European history, scroll up and click the "add to cart" button!

    Readers are provided once again with an instructive mix of mathematics, physics, statistics, and information theory.All the essential topics in information theory are covered in detail, including entropy, data compression, channel capacity, rate distortion, network information theory, and hypothesis testing. The authors provide readers with a solid understanding of the underlying theory and applications. Problem sets and a telegraphic summary at the end of each chapter further assist readers. The historical notes that follow each chapter recap the main points.The Second Edition features: * Chapters reorganized to improve teaching * 200 new problems * New material on source coding, portfolio theory, and feedback capacity * Updated referencesNow current and enhanced, the Second Edition of Elements of Information Theory remains the ideal textbook for upper-level undergraduate and graduate courses in electrical engineering, statistics, and telecommunications.

    Two primary objectives guided the authors in the revision of this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Hostetler/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the fourth of Calculus: Early Transcendental Functions, 4/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas. Now, the Fourth Edition is part of the first calculus program to offer algorithmic homework and testing created in Maple so that answers can be evaluated with complete mathematical accuracy.

    In elegant, witty three-page summations, Dr. Trefil "makes sense of science for the rest of us" (Washington Post).

    To shape debates over health care, energy policy, space travel, and other vital issues, ordinary citizens must engage directly with research rather than relying on pundits’ and politicians’ interpretations. Otherwise, fringe opinions that have been discredited in the scientific community can take hold in the public imagination. At the same time, scientists must understand their roles as communicators and ambassadors as well as researchers.Rees not only diagnoses this central problem but also explains how scientists and the general public can deploy a global, long-term perspective to address the new challenges we face. In the process, he reveals critical shortcomings in our current system—for example, the tendency to be overly anxious about minor hazards while underrating the risk of potential catastrophes. Offering a strikingly clear portrait of the future of science, Rees tackles such diverse topics as the human brain, the possibility that humans will colonize other planets, and the existence of extraterrestrial life in order to distinguish between what scientists can hope to discover and what will always lie beyond our grasp.A fresh perspective on science’s significance and potential, From Here to Infinity will inspire and enlighten.