Geometric Structures in Nonlinear Physics

Geometric Structures in Nonlinear Physics
Publisher: Math Science Pr | pages: 363 | 1992 | ISBN: 0915692422 | File type: PDF | 11,8 mb

As a result of a Kuhnian revolution, geometry has transformed our ways of thinking about physics. In this book, I return to the foundational work I began in the 1960's in the books published by Benjamin, Academic Press, and Dekker. In these my emphasis was on the linear problems involving vector bundles, linear differential operators, etc. In contrast, this volume emphasizes the type of nonlinear physics exemplified by fluid mechanics, vortex dynamics, interacting quantum field theory and Einsteinian gravitation. As in the previous book in this series, "Geometric Computing Science: First Steps", Interdisciplinary Mathematics Vol. 2, much of this material is preliminary in nature.

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