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Smooth Manifolds and Observables

The main objective of this book is to explain how differential calculus is a natural part of commutative algebra. This is achieved by studying the corresponding algebras of smooth functions that result in a general construction of the differential calculus on various categories of modules over the given commutative algebra. It is shown in detail that the ordinary differential calculus and differential geometry on smooth manifolds turns out to be precisely the particular case that corresponds to the category of geometric modules over smooth algebras. This approach opens the way to numerous applications, ranging from delicate questions of algebraic geometry to the theory of elementary particles.

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	Science/Engineering Geometry of Low-Dimensional Manifolds, Vol. 2: Symplectic Manifolds and Jones-Witten Theory Geometry of Low-Dimensional Manifolds, Vol. 2: Symplectic Manifolds and Jones-Witten Theory Cambridge University Press \| ISBN: 0521400015 \| 1991-01-25 \| PDF \| 260 pages \| 4 Mb These volumes are based on lecture courses and seminars given at ...
	Science/Engineering Smooth Four-Manifolds and Complex Surfaces Robert Friedman, John W. Morgan, “Smooth Four-Manifolds and Complex Surfaces” Springer \| 1994-11-18 \| ISBN: 3540570586 \| 520 pages \| DJVU \| 13,9 MB This book applies the recent techniques of gauge theory to study the smooth classificati ...
	Smooth Manifolds and Observables (Graduate Texts in Mathematics) Smooth Manifolds and Observables (Graduate Texts in Mathematics)Jet Nestrueven \| Springer \| 232 pages \| Publication Date: 2002-10-04 \| ISBN : 0387955437 \| pdf \| 1.31 mb Smooth Manifolds and Observables is about the differential calculus, sm ...
	Science/Engineering Introduction to Smooth Manifolds John M. Lee: "Introduction to Smooth Manifolds"Springer \| ISBN: 0387954953 \| edition: 2002 \| PDF \| 640 Pages \| 4,3 MB MbThis book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize stude ...
	G. Giorgi, A. Guerraggio, J. Thierfelder - Mathematics of Optimization: Smooth and Non-smooth Case G. Giorgi, A. Guerraggio, J. Thierfelder, "Mathematics of Optimization: Smooth and Non-smooth Case"Elsevier \| ISBN: 0444505504 \| March 2004 \| 600 pages \| 18.9 MB \| PDFThe book is intended for people (graduates, researchers, but also undergr ...
	Mathematics Geometry of Low-Dimensional Manifolds, Vol. 2: Symplectic Manifolds and Jones-Witten Theory (London Mathematical Society Lecture Note Series) Author: Publisher: Cambridge University Press (1991)Binding: Paperback, 260 pagespricer: $65.00ISBN-10: 0521400015editorialreviewsThese volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of l ...

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	Science/Engineering Geometry of Low-Dimensional Manifolds, Vol. 2: Symplectic Manifolds and Jones-Witten Theory Geometry of Low-Dimensional Manifolds, Vol. 2: Symplectic Manifolds and Jones-Witten Theory Cambridge University Press \| ISBN: 0521400015 \| 1991-01-25 \| PDF \| 260 pages \| 4 Mb These volumes are based on lecture courses and seminars given at ...
	Science/Engineering Smooth Four-Manifolds and Complex Surfaces Robert Friedman, John W. Morgan, “Smooth Four-Manifolds and Complex Surfaces” Springer \| 1994-11-18 \| ISBN: 3540570586 \| 520 pages \| DJVU \| 13,9 MB This book applies the recent techniques of gauge theory to study the smooth classificati ...
	Smooth Manifolds and Observables (Graduate Texts in Mathematics) Smooth Manifolds and Observables (Graduate Texts in Mathematics)Jet Nestrueven \| Springer \| 232 pages \| Publication Date: 2002-10-04 \| ISBN : 0387955437 \| pdf \| 1.31 mb Smooth Manifolds and Observables is about the differential calculus, sm ...
	Science/Engineering Introduction to Smooth Manifolds John M. Lee: "Introduction to Smooth Manifolds"Springer \| ISBN: 0387954953 \| edition: 2002 \| PDF \| 640 Pages \| 4,3 MB MbThis book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize stude ...
	G. Giorgi, A. Guerraggio, J. Thierfelder - Mathematics of Optimization: Smooth and Non-smooth Case G. Giorgi, A. Guerraggio, J. Thierfelder, "Mathematics of Optimization: Smooth and Non-smooth Case"Elsevier \| ISBN: 0444505504 \| March 2004 \| 600 pages \| 18.9 MB \| PDFThe book is intended for people (graduates, researchers, but also undergr ...
	Mathematics Geometry of Low-Dimensional Manifolds, Vol. 2: Symplectic Manifolds and Jones-Witten Theory (London Mathematical Society Lecture Note Series) Author: Publisher: Cambridge University Press (1991)Binding: Paperback, 260 pagespricer: $65.00ISBN-10: 0521400015editorialreviewsThese volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of l ...

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