By Pedro M. Gadea,Jaime Muñoz Masqué,Ihor V. Mykytyuk

This is the second one version of this most sensible promoting challenge booklet for college students, now containing over four hundred thoroughly solved routines on differentiable manifolds, Lie idea, fibre bundles and Riemannian manifolds.

The routines cross from simple computations to particularly refined instruments. a few of the definitions and theorems used all through are defined within the first component of each one bankruptcy the place they appear.

A 56-page choice of formulae is incorporated which might be important as an aide-mémoire, even for academics and researchers on these topics.

In this 2d edition:
• 76 new difficulties
• a part dedicated to a generalization of Gauss’ Lemma
• a brief novel part facing a few homes of the strength of Hopf vector fields
• an improved choice of formulae and tables
• an prolonged bibliography

Audience

This e-book may be worthwhile to complicated undergraduate and graduate scholars of arithmetic, theoretical physics and a few branches of engineering with a rudimentary wisdom of linear and multilinear algebra.

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Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers (Problem Books in Mathematics) by Pedro M. Gadea,Jaime Muñoz Masqué,Ihor V. Mykytyuk


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