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The fourth of a five-volume exposition of the main principles of
nonlinear functional analysis and its applications to the natural
sciences, economics, and numerical analysis. The presentation is
self-contained and accessible to the non-specialist, and topics
covered include applications to mechanics, elasticity, plasticity,
hydrodynamics, thermodynamics, statistical physics, and special and
general relativity including cosmology. The book contains a
detailed physical motivation of the relevant basic equations and a
discussion of particular problems which have played a significant
role in the development of physics and through which important
mathematical and physical insight may be gained. It combines
classical and modern ideas to build a bridge between the language
and thoughts of physicists and mathematicians. Many exercises and a
comprehensive bibliography complement the text.
The fourth of a five-volume exposition of the main principles of
nonlinear functional analysis and its applications to the natural
sciences, economics, and numerical analysis. The presentation is
self-contained and accessible to the non-specialist, and topics
covered include applications to mechanics, elasticity, plasticity,
hydrodynamics, thermodynamics, statistical physics, and special and
general relativity including cosmology. The book contains a
detailed physical motivation of the relevant basic equations and a
discussion of particular problems which have played a significant
role in the development of physics and through which important
mathematical and physical insight may be gained. It combines
classical and modern ideas to build a bridge between the language
and thoughts of physicists and mathematicians. Many exercises and a
comprehensive bibliography complement the text.
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