Analysis and Algebra on Differentiable Manifolds

A Workbook for Students and Teachers

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Analysis and Algebra on Differentiable Manifolds by Pedro M. Gadea, Jaime Muñoz Masqué, Ihor V. Mykytyuk, Springer Netherlands
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Author: Pedro M. Gadea, Jaime Muñoz Masqué, Ihor V. Mykytyuk ISBN: 9789400759527
Publisher: Springer Netherlands Publication: December 30, 2012
Imprint: Springer Language: English
Author: Pedro M. Gadea, Jaime Muñoz Masqué, Ihor V. Mykytyuk
ISBN: 9789400759527
Publisher: Springer Netherlands
Publication: December 30, 2012
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

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