The geometry of vector fields by Yu. Aminov

By Yu. Aminov

Offering a classical method of the rules and improvement of the geometry of vector fields, this quantity describes vector fields in 3-dimensional Euclidean house, 3 orthogonal structures, and functions in mechanics. different themes, together with vector fields, Pfaff kinds and structures in n-dimensional area, foliations and Godbillon-Vey invariant, also are thought of. there's a lot curiosity within the learn of geometrical gadgets in n-dimensional Euclidean house, and this quantity presents an invaluable and complete presentation.

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Plane and Solid Geometry by George Albert Wentworth

By George Albert Wentworth

It is a pre-1923 ancient replica that used to be curated for caliber. caliber coverage was once performed on each one of those books in an try to get rid of books with imperfections brought through the digitization procedure. notwithstanding we've got made most sensible efforts - the books could have occasional error that don't abate the interpreting adventure. We think this paintings is culturally very important and feature elected to deliver the e-book again into print as a part of our carrying on with dedication to the renovation of revealed works around the world.

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Differential Geometry, Gauge Theories and Gravity by M. Göckeler, T. Schücker

By M. Göckeler, T. Schücker

Utilizing a self-contained and concise therapy of recent differential geometry, this ebook should be of significant curiosity to graduate scholars and researchers in utilized arithmetic or theoretical physics operating in box thought, particle physics, or normal relativity. The authors start with an straight forward presentation of differential varieties. This formalism is then used to debate actual examples, by means of a generalization of the math and physics provided to manifolds. The booklet emphasizes the purposes of differential geometry interested by gauge theories in particle physics and basic relativity. subject matters mentioned contain Yang-Mills theories, gravity, fiber bundles, monopoles, instantons, spinors, and anomalies.

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