# Search Results for "analysis-and-algebra-on-differentiable-manifolds-a-workbook-for-students-and-teachers-problem-books-in-mathematics"

## Analysis and Algebra on Differentiable Manifolds

A Workbook for Students and Teachers

• Author: Pedro M. Gadea,Jaime Muñoz Masqué,Ihor V. Mykytyuk
• Publisher: Springer Science & Business Media
• ISBN: 9400759525
• Category: Mathematics
• Page: 618
• View: 8246
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.

## Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers

• Author: P.M. Gadea,J. Muñoz Masqué
• Publisher: Springer Science & Business Media
• ISBN: 9789048135646
• Category: Mathematics
• Page: 478
• View: 4076
A famous Swiss professor gave a student’s course in Basel on Riemann surfaces. After a couple of lectures, a student asked him, “Professor, you have as yet not given an exact de nition of a Riemann surface.” The professor answered, “With Riemann surfaces, the main thing is to UNDERSTAND them, not to de ne them.” The student’s objection was reasonable. From a formal viewpoint, it is of course necessary to start as soon as possible with strict de nitions, but the professor’s - swer also has a substantial background. The pure de nition of a Riemann surface— as a complex 1-dimensional complex analytic manifold—contributes little to a true understanding. It takes a long time to really be familiar with what a Riemann s- face is. This example is typical for the objects of global analysis—manifolds with str- tures. There are complex concrete de nitions but these do not automatically explain what they really are, what we can do with them, which operations they really admit, how rigid they are. Hence, there arises the natural question—how to attain a deeper understanding? One well-known way to gain an understanding is through underpinning the d- nitions, theorems and constructions with hierarchies of examples, counterexamples and exercises. Their choice, construction and logical order is for any teacher in global analysis an interesting, important and fun creating task.

## Scientific and Technical Books in Print

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• Category: Engineering
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## American Book Publishing Record

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## Catalog of Copyright Entries. Third Series

1963: January-June

• Author: N.A
• Publisher: Copyright Office, Library of Congress
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• Page: 1234
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Includes Part 1, Number 1: Books and Pamphlets, Including Serials and Contributions to Periodicals (January - June)

## Subject Guide to Books in Print

An Index to the Publishers' Trade List Annual

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## Whitaker's Cumulative Book List

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## Books and Pamphlets, Including Serials and Contributions to Periodicals

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• Category: American literature
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## Books in Print Supplement

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