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

ISBN-10: 9400759517

ISBN-13: 9789400759510

This is the second one version of this most sensible promoting challenge publication for college kids, now containing over four hundred thoroughly solved routines on differentiable manifolds, Lie idea, fibre bundles and Riemannian manifolds.

The workouts move from simple computations to particularly refined instruments. a few of the definitions and theorems used all through are defined within the first component to each one bankruptcy the place they appear.

A 56-page number of formulae is incorporated that are beneficial as an aide-mémoire, even for academics and researchers on these topics.

In this 2d edition:
• 76 new difficulties
• a part dedicated to a generalization of Gauss’ Lemma
• a brief novel part facing a few homes of the power of Hopf vector fields
• an increased number of formulae and tables
• an prolonged bibliography


This booklet could be worthwhile to complicated undergraduate and graduate scholars of arithmetic, theoretical physics and a few branches of engineering with a rudimentary wisdom of linear and multilinear algebra.

Show description

Read or Download Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers (Problem Books in Mathematics) PDF

Best geometry & topology books

Read e-book online Elimination Methods (Texts & Monographs in Symbolic PDF

The improvement of polynomial-elimination suggestions from classical concept to fashionable algorithms has passed through a tortuous and rugged direction. this is often saw L. van der Waerden's removing of the "elimination idea" bankruptcy from from B. his vintage glossy Algebra in later variations, A. Weil's desire to put off "from algebraic geometry the final strains of removing theory," and S.

Download PDF by Antonio Galbis: Vector Analysis Versus Vector Calculus (Universitext)

The purpose of this publication is to facilitate using Stokes' Theorem in applications.  The textual content takes a differential geometric perspective and offers for the coed a bridge among natural and utilized arithmetic by means of conscientiously construction a proper rigorous improvement of the subject and following this via to concrete functions in and 3 variables.

Read e-book online Algebraic Topology: A First Course (Graduate Texts in PDF

To the instructor. This booklet is designed to introduce a scholar to a couple of the real principles of algebraic topology by means of emphasizing the re­ lations of those rules with different parts of arithmetic. instead of making a choice on one viewpoint of modem topology (homotopy conception, simplicial complexes, singular idea, axiomatic homology, range­ ential topology, and so on.

Geometry and Integrability (London Mathematical Society by Lionel Mason,Yavuz Nutku PDF

So much integrable platforms owe their starting place to difficulties in geometry and they're most sensible understood in a geometric context. this is often very true this day while the heroic days of KdV-type integrability are over. difficulties that may be solved utilizing the inverse scattering transformation have reached the purpose of diminishing returns.

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

Sample text

Download PDF sample

Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers (Problem Books in Mathematics) by Pedro M. Gadea,Jaime Muñoz Masqué,Ihor V. Mykytyuk

by Daniel

Rated 4.40 of 5 – based on 42 votes