Frank Morgan - Böcker

Geometric Measure Theory: A Beginner's Guide, Fifth Edition provides the framework readers need to understand the structure of a crystal, a soap bubble cluster, or a universe.

The book is essential to any student who wants to learn geometric measure theory, and will appeal to researchers and mathematicians working in the field. Brevity, clarity, and scope make this classic book an excellent introduction to more complex ideas from geometric measure theory and the calculus of variations for beginning graduate students and researchers.

Morgan emphasizes geometry over proofs and technicalities, providing a fast and efficient insight into many aspects of the subject, with new coverage to this edition including topical coverage of the Log Convex Density Conjecture, a major new theorem at the center of an area of mathematics that has exploded since its appearance in Perelman's proof of the Poincar� conjecture, and new topical coverage of manifolds taking into account all recent research advances in theory and applications.

Focuses on core geometry rather than proofs, paving the way to fast and efficient insight into an extremely complex topic in geometric structures Enables further study of more advanced topics and texts Demonstrates in the simplest possible way how to relate concepts of geometric analysis by way of algebraic or topological techniques Contains full topical coverage of The Log-Convex Density Conjecture Comprehensively updated throughout

Terrorism and torture are twin evils that have dominated news headlines - particularly since the horrifying events of 9/11. In this thought-provoking volume, scholars from a diverse range of disciplines examine the complex motivational and situational factors contributing to terrorist acts and state-sponsored torture, and the potential linkage between those two heinous human behaviors. They also consider the strategies that might reduce the threat of future terrorist acts, and the perceived necessity to engage in morally reprehensible - and often illegal - torture practices. With its integrated synthesis of contemporary theories and research on the complex dynamics of the terrorism-torture link, this is an authoritative source for scholars and students of psychology, criminal justice, law, media, communication studies, and political science. It will also appeal to students of other disciplines with an interest in the study of terrorism and torture.

Terrorism and torture are twin evils that have dominated news headlines - particularly since the horrifying events of 9/11. In this thought-provoking volume, scholars from a diverse range of disciplines examine the complex motivational and situational factors contributing to terrorist acts and state-sponsored torture, and the potential linkage between those two heinous human behaviors. They also consider the strategies that might reduce the threat of future terrorist acts, and the perceived necessity to engage in morally reprehensible - and often illegal - torture practices. With its integrated synthesis of contemporary theories and research on the complex dynamics of the terrorism-torture link, this is an authoritative source for scholars and students of psychology, criminal justice, law, media, communication studies, and political science. It will also appeal to students of other disciplines with an interest in the study of terrorism and torture.

Real Analysis and Applications starts with a streamlined, but complete approach to real analysis. It finishes with a wide variety of applications in Fourier series and the calculus of variations, including minimal surfaces, physics, economics, Riemannian geometry, and general relativity. The basic theory includes all the standard topics: limits of sequences, topology, compactness, the Cantor set and fractals, calculus with the Riemann integral, a chapter on the Lebesgue theory, sequences of functions, infinite series, and the exponential and Gamma functions. The applications conclude with a computation of the relativistic precession of Mercury's orbit, which Einstein called ""convincing proof of the correctness of the theory [of General Relativity].""The text not only provides clear, logical proofs, but also shows the student how to come up with them. The excellent exercises come with select solutions in the back. Here is a text which makes it possible to do the full theory and significant applications in one semester. Frank Morgan is the author of six books and over one hundred articles on mathematics. He is an inaugural recipient of the Mathematical Association of America's national Haimo award for excellence in teaching. With this applied version of his Real Analysis text, Morgan brings his famous direct style to the growing numbers of potential mathematics majors who want to see applications right along with the theory.

This classic text serves as a tool for self-study; it is also used as a basic text for undergraduate courses in differential geometry. The author's ability to extract the essential elements of the theory in a lucid and concise fashion allows the student easy access to the material and enables the instructor to add emphasis and cover special topics. The extraordinary wealth of examples within the exercises and the new material, ranging from isoperimetric problems to comments on Einstein's original paper on relativity theory, enhance this new edition.