1 edition of **Analysis and Algebra on Differentiable Manifolds** found in the catalog.

- 234 Want to read
- 34 Currently reading

Published
**2013**
by Springer Netherlands, Imprint: Springer in Dordrecht
.

Written in English

- Global differential geometry,
- Mathematics,
- Differential Geometry

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.

**Edition Notes**

Statement | by Pedro M. Gadea, Jaime Muñoz Masqué, Ihor V. Mykytyuk |

Series | Problem Books in Mathematics |

Contributions | Muñoz Masqué, Jaime, Mykytyuk, Ihor V., SpringerLink (Online service) |

Classifications | |
---|---|

LC Classifications | QA641-670 |

The Physical Object | |

Format | [electronic resource] : |

Pagination | XXV, 617 p. 68 illus., 38 illus. in color. |

Number of Pages | 617 |

ID Numbers | |

Open Library | OL27016598M |

ISBN 10 | 9789400759527 |

An Introduction to Riemannian Geometry with Applications to Mechanics and Relativity. This book covers the following topics: Differentiable Manifolds, Differential Forms, Riemannian Manifolds, Curvature, Geometric Mechanics, Relativity. Author(s): Leonor Godinho and . In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a linear space to allow one to do manifold can be described by a collection of charts, also known as an may then apply ideas from calculus while working within the individual charts, since each chart lies within a linear space .

Differential Analysis on Complex Manifolds R. O. Wells Jr. (auth.) In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential. Differential algebra. This book covers the following topics: differential polynomial and their ideals, algebraic differential manifolds, structure of differential polynomials, systems of algebraic equations, constructive method, intersections of algebraic differential manifolds, Riquier's existence theorem for orthonomic system.

Don't show me this again. Welcome! This is one of over 2, courses on OCW. Find materials for this course in the pages linked along the left. MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum.. No enrollment or registration. Introduction to Microlocal Analysis and Scattering Theory with Gunther Uhlmann Unfinished book, some of it has been published separately. As an acrobat file The Heisenberg algebra, index theory and homology Charles Epstein and Richard Melrose This is not yet finished, but it is getting close!

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The book contains solved problems of varying degree of complexity and difficulty. They are spread over the first six chapters which deal with, respectively, the following topics: differentiable manifolds, tensor fields and differential forms, integration on manifolds, Lie groups, fibre bundles and Riemannian by: 4.

Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers (Problem Books in Mathematics) - Kindle edition by Gadea, Pedro M., Muñoz Masqué, Jaime, Mykytyuk, Ihor V. Download it once and read it on your Kindle device, PC, phones or tablets/5(2).

The book contains solved problems of varying degree of complexity and difficulty. They are spread over the first six chapters which deal with, respectively, the following topics: differentiable manifolds, tensor fields and differential forms, integration on manifolds, Lie groups, fibre bundles and Riemannian : Springer Netherlands.

Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers Pedro M. Gadea, Jaime Muñoz Masqué, Ihor V. Mykytyuk (auth.) This is the second edition of this best selling problem book for students, now containing over completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian manifolds.

About this book. Introduction. This is the second edition of this best selling problem book for students, now containing over completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools.

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

Main Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers Prof.

Gadea, Prof. Muñoz Masqué (auth.). 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.

viii ANALYSIS AND ALGEBRA ON DIFFERENTIABLE MANIFOLDS Orientable manifolds. Orientation-preserving maps Integration on chains. Stokes' Theorem I Integration on oriented manifolds. Stokes' theorem II De Rham cohomology 4. LIE GROUPS Lie groups and Lie algebras Homomorphisms of Lie groups and Lie.

Luckily there are lots of good books on manifolds. Lee's 'Introduction to Smooth Manifolds' seems to have become the standard, and I agree it is very clear, albeit a bit long-winded and talky. Warner's Foundations of Differentiable Manifolds is an 'older' classic. 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. Main Analysis and algebra on differentiable manifolds: a workbook for students and teachers Analysis and algebra on differentiable manifolds: a workbook for students and teachers P M Gadea, J Muñoz Masqué, I V Mikiti︠u︡k.

The book contains solved problems of varying degree of complexity and difficulty. They are spread over the first six chapters which deal with, respectively, the following topics: differentiable manifolds, tensor fields and differential forms, integration on manifolds, Lie groups, fibre bundles and Riemannian geometry.

Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers (Problem Books in Mathematics)/5.

The book contains solved problems of varying degree of complexity and difficulty. They are spread over the first six chapters which deal with, respectively, the following topics: differentiable manifolds, tensor fields and differential forms, integration on manifolds, Lie groups, fibre bundles and Riemannian geometry.5/5(1).

Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers (Problem Books in Mathematics) (English Edition) eBook: Gadea, Pedro M., Muñoz Masqué, Jaime, Mykytyuk, Ihor V.: : Tienda Kindle4/5(1).

Download analysis and algebra on differentiable manifolds or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get analysis and algebra on differentiable manifolds book now. This site is like a library, Use search box in the widget to get ebook that you want.

Get this from a library. Analysis and algebra on differentiable manifolds: a workbook for students and teachers. [P M Gadea; J Muñoz Masqué; I V Mikiti︠u︡k] -- "This is the second edition of this best selling problem book for students, now containing over completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian.

The book has proven to be an excellent introduction to the theory of complex manifolds considered from both the points of view of complex analysis and differential geometry.” (Philosophy, Religion and Science Book Reviews,May, ). FOR TONS OF SOLVED PROBLEMS ON DIFFERENTIAL GEOMETRY the best book by far is the recent volume by Gadea/Muñoz - "Analysis and Algebra on Differentiable Manifolds: a workbook for students and teachers".

From manifolds to riemannian geometry and bundles, along with amazing summary appendices for theory review and tables of useful formulas. Analysis and algebra on differentiable manifolds 1. Chapter 2Tensor Fields and Differential FormsAbstract After providing some deﬁnitions and results on tensor ﬁelds and differen-tial forms, this chapter deals with some aspects of general vector bundles, includingthe ‘cocycle approach’; other topics are: Tensors and tensor ﬁelds, exterior forms,Lie derivative .Get this from a library!

Analysis and algebra on differentiable manifolds: a workbook for students and teachers. [P M Gadea; J Muñoz Masqué; I V Mikiti︠u︡k] -- This is the second edition of this best selling problem book for students, now containing over completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian.Differential Calculus We shall recall brieﬂy the notion of derivative and some of its useful properties.

My books on analysis [La83/97], [La 93] give a self-contained and complete treatment. We summarize basic facts of the di¤erential calculus. The reader can actually skip this chapter and start immediately.