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Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers (Problem Books in Mathematics) download epub

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


Epub Book: 1330 kb. | Fb2 Book: 1963 kb.

This book is an excellent resource for teachers and students of these topics.

This book is an excellent resource for teachers and students of these topics. 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.

It is the first book consisting of completely solved problems on differentiable manifolds, and .

It is the first book consisting of completely solved problems on differentiable manifolds, and therefore will be a complement to the books on theory. The book includes 50 figures and will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics, and some branches of engineering.

Электронная книга "Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers", . Gadea, J. Muñoz Masqué

Электронная книга "Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers", . Muñoz Masqué. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers" для чтения в офлайн-режиме.

The exercises go from elementary computations to rather sophisticated tools

The exercises go from elementary computations to rather sophisticated tools.

2nd revised ed This book is a collection of 375 completely solved exercises on differentiable manifolds, Lie groups, fibre bundles, and Riemannian manifolds. It is the first book consisting of completely solved problems on differentiable manifolds, and therefore will be a complement to the books on theory. The book includes 50 figures.

Start by marking Analysis and Algebra on Differentiable Manifolds: A. .

Start by marking Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers (Problem Books in Mathematics) as Want to Read: Want to Read savin. ant to Read. Many of the definitions and theorems used throughout are explained in the first section of.

A Workbook for Students and Teachers. By: Pedro M. Gadea; Jaime Muñoz Masqué; Ihor V. Mykytyuk. You are leaving VitalSource and being redirected to Analysis and Algebra on Differentiable Manifolds. eTextbook Return Policy

A Workbook for Students and Teachers. Print ISBN: 9789400759510, 9400759517. eTextbook Return Policy. There are a few important things to keep in mind when returning an eBook you purchased from the VitalSource Store: You have 14 calendar days to return an item from the date you purchased it. You have not viewed or printed, in total, more than twenty percent (20%) of the VitalSource eTextbook. by Pedro M. Gadea, Jaime Muñoz Masqué, Ihor V. series Problem Books in Mathematics.

Gadea, J. Springer Science & Business Media, 12‏/12‏/2009 - 478 من الصفحات. 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. Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers المجلد 23 من Texts in the Mathematical Sciences.

This book is a collection of 375 completely solved exercises on differentiable manifolds, Lie groups, fibre bundles, and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools

This book is a collection of 375 completely solved exercises on differentiable manifolds, Lie groups, fibre bundles, and Riemannian manifolds.

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.


Comments: (4)

Abuseyourdna
For the last few months I have been struggling through Robert Wald's General Relativity and the appendices in Sean Carroll's Spacetime and Geometry in an attempt to start learning the mathematical formalism of General Relativity (As opposed to the "here is the answer, the derivation and proof is beyond the scope of this book" approach used in a lot of the introductory texts).

I think these books are among the clearest and most carefully written that I have ever read, but recently I began to realize that I was missing a lot of subtleties. For example, the discussions of charts/atlases, lie derivatives/groups, mappings between manifolds etc. I just lacked familiarity with these topics and wasn't able to pick them up by reading page after page of tensor equations. I needed examples, which these books seemed to lack.

Well, that's where this book came in. On page 1, it starts of with a few simple problems on what exactly a chart is. On the next page are the "projection mappings" of a sphere worked out in much more detail than in Wald and Carroll.

There really isn't much else to say other than: If you find yourself stuck on some detail that you are having trouble understanding, there is a worked problem in here that will help.

I have amassed a lot of relativity and differential geometry texts and I can honestly say that this has been by far the most useful reference that I have ever come across!
Tam
The book gives very detailed and helpful work out of problems in differential geometry.
Anarawield
This work is a perfect and helpful companion to most theoretical books dealing with manifolds, calculus on manifolds (Stokes's general integration theorem), Lie Groups, Fiber Bundles and Riemannian Geometry. There are practical questions in low dimensions, as well as theoretical exercises. The level is never too demanding, since the authors do not address to the connoisseur but to real people struggling to understand how to handle tensor fields, cartan exterior calculus, the Lie derivative and Lie brackets, the Hodge star operator, covariant derivatives and their connection forms on frame bundles, curvature, characteristic classes (via the Chern-Weil homomorphism),Lie groups and Lie algebras, the exponential map of a connection and the Gauss lemma for normal coordinates,... and much more. Solutions are detailed enough. Most reluctant potential readers will discover a host of interesting exercises and tables. This is the second Springer edition, but a former version (written by Gadea-Munoz only) was published by Kluwer in 2001 (ISBN: 9781402000270). That edition was shorter, but included a resumé of theory at the end; it should be a cheaper second hand alternative for those in a budget. Let me suggest a handful of good books to couple with this one:
(1) Nicolaescu's Lectures on the Geometry of Manifolds, (2) Conlon's Differentiable Manifolds (Modern Birkhäuser Classics), (3) Warner's Foundations of Differentiable Manifolds and Lie Groups (Graduate Texts in Mathematics),(4)de Witt-Choquet-Bruhat'sAnalysis, Manifolds and Physics Part I: Basics,Analysis, Manifolds and Physics, Part II - Revised and Enlarged Edition (Pt. 2), (5) Boothby'sAn Introduction to Differentiable Manifolds and Riemannian Geometry, Revised, Volume 120, Second Edition (Pure and Applied Mathematics), (6) Spivak's A Comprehensive Introduction to Differential Geometry, Vol. 1, 3rd Edition and the volumes III and V on submanifolds and Gauss-Bonnet Theorem.
Fararala
Man, this is a very instructional manual that can help just about anyone having problems learning differential geometry. I give it two tangent vectors up.
Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers (Problem Books in Mathematics) download epub
Mathematics
Author: Pedro M. Gadea,Jaime Muñoz Masqué,Ihor V. Mykytyuk
ISBN: 9400759517
Category: Science & Math
Subcategory: Mathematics
Language: English
Publisher: Springer; 2nd ed. 2013 edition (December 28, 2012)
Pages: 618 pages