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

ISBN-10: 9400759517

ISBN-13: 9789400759510

This is the second one version of this top promoting challenge e-book for college students, now containing over four hundred thoroughly solved workouts on differentiable manifolds, Lie idea, fibre bundles and Riemannian manifolds.

The workouts cross from undemanding computations to really subtle instruments. some of the definitions and theorems used all through are defined within the first portion of every one bankruptcy the place they appear.

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

In this second edition:
• 76 new difficulties
• a part dedicated to a generalization of Gauss’ Lemma
• a brief novel part facing a few houses of the power of Hopf vector fields
• an extended number of formulae and tables
• an prolonged bibliography

Audience

This e-book can be invaluable to complex 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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