Download e-book for iPad: An Introductory Course on Differentiable Manifolds (Aurora: by Siavash Shahshahani

By Siavash Shahshahani

ISBN-10: 0486807061

ISBN-13: 9780486807065

Based on writer Siavash Shahshahani's wide instructing event, this quantity provides a radical, rigorous direction at the concept of differentiable manifolds. aimed at complex undergraduates and graduate scholars in arithmetic, the treatment's must haves contain a powerful heritage in undergraduate arithmetic, together with multivariable calculus, linear algebra, common summary algebra, and element set topology. greater than 2 hundred workouts supply scholars plentiful chance to gauge their talents and achieve extra insights.
The four-part therapy starts with a unmarried bankruptcy dedicated to the tensor algebra of linear areas and their mappings. half II brings in neighboring issues to discover integrating vector fields, Lie bracket, external spinoff, and Lie spinoff. half III, regarding manifolds and vector bundles, develops the most physique of the direction. the ultimate bankruptcy offers a glimpse into geometric constructions by means of introducing connections on the tangent package as a device to implant the second one by-product and the spinoff of vector fields at the base manifold. suitable old and philosophical asides improve the mathematical textual content, and worthy Appendixes supply supplementary material.

Show description

Read Online or Download An Introductory Course on Differentiable Manifolds (Aurora: Dover Modern Math Originals) PDF

Similar geometry & topology books

Handbook of Algebraic Topology by I. M. James PDF

Algebraic topology (also referred to as homotopy idea) is a flourishing department of recent arithmetic. it's very a lot a world topic and this is often mirrored within the heritage of the 36 major specialists who've contributed to the guide. Written for the reader who already has a grounding within the topic, the amount comprises 27 expository surveys overlaying the main lively components of analysis.

Selected Works of Oded Schramm (Selected Works in - download pdf or read online

This quantity is devoted to the reminiscence of the past due Oded Schramm (1961-2008), amazing mathematician. all through his profession, Schramm made profound and lovely contributions to arithmetic that might have a long-lasting impact. In those volumes, Editors Itai Benjamini and Olle Häggström have accumulated a few of his papers, supplemented with 3 survey papers by means of Steffen Rohde, Häggström and Cristophe Garban that extra elucidate his paintings.

New PDF release: Geometric Invariant Theory for Polarized Curves (Lecture

We examine GIT quotients of polarized curves. extra in particular, we research the GIT challenge for the Hilbert and Chow schemes of curves of measure d and genus g in a projective area of size d-g, as d decreases with appreciate to g. We turn out that the 1st 3 values of d at which the GIT quotients swap are given by way of d=a(2g-2) the place a=2, three.

New PDF release: Cours de géométrie (French Edition)

Voici los angeles quatrième édition du cours de géométrie publié pour los angeles première fois en 2004. Cette édition a été revue et complétée avec soin. A los angeles demande de nombreux lecteurs, les graphiques ont été tous améliorés un à un. Ce cours permet d’acquérir des bases solides en géométrie pour passer l’agrégation ou le CAPES mathématiques.

Extra resources for An Introductory Course on Differentiable Manifolds (Aurora: Dover Modern Math Originals)

Example text

Download PDF sample

An Introductory Course on Differentiable Manifolds (Aurora: Dover Modern Math Originals) by Siavash Shahshahani


by Thomas
4.5

Rated 4.23 of 5 – based on 48 votes