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This book attempts to bridge the gap between the principles of pure mathematics and the applications in physical science. After the Mbius inversion formula had been considered as purely academic, or beyond what was useful in the physics community for more than 150 years, the apparently obscure result in classical mathematics suddenly appears to be connected to a variety of important inverse problems in physical science. This book only requires readers to have some background in elementary calculus and general physics, and prerequisite knowledge of number theory is not needed. It will be attractive to our multidisciplinary readers interested in the Mbius technique, which is a tiny but important part of the number-theoretic methods. It will inspire many students and researchers in both physics and mathematics. In a practical problem, continuity and discreteness are often correlated, and few textbook have given attention to this wide and important field as this book. Clearly, this book will be an essential supplement for many existing courses such as mathematical physics, elementary number theory and discrete mathematics.
This book starts from a set of common basic principles to establish the basic formalisms of all disciplines of fundamental physics, including quantum field theory, quantum mechanics, statistical mechanics, thermodynamics, general relativity, electromagnetism, and classical mechanics. Instead of the traditional pedagogic way, the author arranges the subjects and formalisms in a logical order, i.e. all the formulas are derived from the formulas before them. The formalisms are also kept self-contained. Most mathematical tools are given in the appendices. Although this book covers all the disciplines of fundamental physics, it contains only a single volume because the contents are kept concise and treated as an integrated entity, which is consistent with the motto that simplicity is beauty, unification is beauty, and thus physics is beauty.This can be used as an advanced textbook for graduate students. It is also suitable for physicists who wish to have an overview of fundamental physics.
中英文本
Selected, peer reviewed papers from the 2013 World Congress on Industrial Materials – Applications, Products and Technologies (WCIM 2013), April 1-2, 2013, Beijing, China
This exhaustive cumulative guide covers the changes in key personnel and administrative institutions from 1968 to the present. It traces the career paths of the many high officials within the numerous governmental, military, educational, and economic organizations in China. The directory also provides information on major institutions in China by following the restructuring, division, and mergers of organizations. This new edition includes new sections on trade organizations; special administrative regions; museums, libraries, and galleries; banks and insurance companies; and social and community mass organizations.
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Focuses on fundamental mathematical and computational methods underpinning physics. Relevant to statistical physics, chaotic and complex systems, classical and quantum mechanics, classical and quantum integrable systems and classical and quantum field theory.