Analysis And Algebra On Differentiable Manifolds: A Workbook For Students And Teachers by Pedro M. GadeaAnalysis And Algebra On Differentiable Manifolds: A Workbook For Students And Teachers by Pedro M. Gadea

Analysis And Algebra On Differentiable Manifolds: A Workbook For Students And Teachers

byPedro M. Gadea, Jaime Muñoz Masqu, Ihor V. Mykytyuk

Paperback | January 29, 2015

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This is the second edition of this best selling problem book for students, now containing over 400 completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian manifolds.

The exercises go from elementary computations to rather sophisticated tools. Many of the definitions and theorems used throughout are explained in the first section of each chapter where they appear.

A 56-page collection of formulae is included which can be useful as an aide-mémoire, even for teachers and researchers on those topics.

In this 2nd edition:
• 76 new problems
• a section devoted to a generalization of Gauss' Lemma
• a short novel section dealing with some properties of the energy of Hopf vector fields
• an expanded collection of formulae and tables
• an extended bibliography

Audience

This book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics and some branches of engineering with a rudimentary knowledge of linear and multilinear algebra.

Professor Pedro M. Gadea taught at the Universities of Santiago de Compostela and Valladolid, Spain. He is now a scientific researcher at the Instituto de Física Fundamental, CSIC, Madrid, Spain. He has published more than sixty research papers on several topics of differential geometry, algebraic topology and automatic speech recognit...
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Title:Analysis And Algebra On Differentiable Manifolds: A Workbook For Students And TeachersFormat:PaperbackDimensions:618 pages, 23.5 × 15.5 × 0.17 inPublished:January 29, 2015Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9400793308

ISBN - 13:9789400793309

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Table of Contents

Differentiable manifolds.- Tensor Fields and Differential Forms.- Integration on Manifolds.- Lie Groups.- Fibre Bundles.- Riemannian Geometry.- Some Formulas and Tables.