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Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics)This book provides an introduction to the ideas and techniques of differential geometry and topology. It starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. Using many illustrations, exercises, and problems, the author demonstrates more elaborate concepts of topology and geometry,... | | Mechanistic Images in Geometric Form: Heinrich Hertz's Principles of MechanicsThis book gives an analysis of Hertz's posthumously published Principles of Mechanics in its philosophical, physical and mathematical context. In a period of heated debates about the true foundation of physical sciences, Hertz's book was conceived and highly regarded as an original and rigorous foundation for a mechanistic research program.... | | Industrial Mathematics: A Course in Solving Real-World Problems'This is REAL. It has a different spirit. It gives students the distinct feeling that they could go into industry and actually work on problems like those in this book. The standard teaching of 'here is the mathematics, use it to solve this problem' has been replaced with 'here is a problem, use mathematics to solve it.' This book refreshes the... |
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