Smooth Manifolds and Observables
Jet Nestruev
Apr 2006 · Graduate Texts in Mathematics Book 220 · Springer Science & Business Media
eBook
222
Pages
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About this eBook
This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors developed an algebraic approach to the subject and they explain in this book why differential calculus on manifolds can be considered as an aspect of commutative algebra. This new approach is based on the fundamental notion of observable which is used by physicists and will further the understanding of the mathematics underlying quantum field theory.
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