Analysis and Algebra on Differentiable Manifolds: A Workbook by Pedro M. Gadea,Jaime Muñoz Masqué,Ihor V. Mykytyuk PDF

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

This is the second one variation of this top promoting challenge e-book for college kids, now containing over four hundred thoroughly solved workouts on differentiable manifolds, Lie idea, fibre bundles and Riemannian manifolds.

The workouts move from user-friendly computations to quite subtle instruments. a number of the definitions and theorems used all through are defined within the first portion of every one bankruptcy the place they appear.

A 56-page selection of formulae is integrated which are invaluable 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 strength of Hopf vector fields
• an improved selection of formulae and tables
• an prolonged bibliography

Audience

This booklet could be priceless 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

Download PDF by Pedro M. Gadea,Jaime Muñoz Masqué,Ihor V. Mykytyuk: Analysis and Algebra on Differentiable Manifolds: A Workbook

This can be the second one variation of this top promoting challenge booklet for college students, now containing over four hundred thoroughly solved workouts on differentiable manifolds, Lie idea, fibre bundles and Riemannian manifolds. The workouts move from basic computations to particularly refined instruments. a number of the definitions and theorems used all through are defined within the first component to every one bankruptcy the place they seem.

Download e-book for kindle: Introduction to Non-Euclidean Geometry (Dover Books on by Harold E. Wolfe

One of many first college-level texts for simple classes in non-Euclidean geometry, this quantity is aimed toward scholars conversant in calculus. themes comprise the 5th postulate, hyperbolic aircraft geometry and trigonometry, and elliptic airplane geometry and trigonometry. broad appendixes provide heritage info, and diverse routines seem through the textual content.

An Axiomatic Approach to Geometry: Geometric Trilogy I by Francis Borceux PDF

Focusing methodologically on these ancient points which are proper to assisting instinct in axiomatic methods to geometry, the e-book develops systematic and smooth methods to the 3 center elements of axiomatic geometry: Euclidean, non-Euclidean and projective. traditionally, axiomatic geometry marks the beginning of formalized mathematical task.

Download e-book for kindle: Observables and Symmetries of n-Plectic Manifolds by Leonid Ryvkin

Leonid Ryvkin supplies a stimulated and self-sustainedintroduction to n-plectic geometry with a different specialise in symmetries. Therelevant algebraic buildings from scratch are built. the writer generalizesknown symplectic notions, particularly observables and symmetries, to the n-plecticcase, culminating in fixing the lifestyles query for co-moment maps forgeneral pre-n-plectic manifolds.

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

Example 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 David
4.3

Rated 4.27 of 5 – based on 24 votes