Download Algebraic Topology via Differential Geometry (London by M. Karoubi,C. Leruste PDF

By M. Karoubi,C. Leruste

during this quantity the authors search to demonstrate how tools of differential geometry locate program within the learn of the topology of differential manifolds. necessities are few because the authors take pains to set out the speculation of differential types and the algebra required. The reader is brought to De Rham cohomology, and specific and specified calculations are current as examples. subject matters lined contain Mayer-Vietoris detailed sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This ebook might be compatible for graduate scholars taking classes in algebraic topology and in differential topology. Mathematicians learning relativity and mathematical physics will locate this a useful advent to the innovations of differential geometry.

Show description

Read or Download Algebraic Topology via Differential Geometry (London Mathematical Society Lecture Note Series) PDF

Similar geometry & topology books

The Fundamental Theorem of Algebra (Undergraduate Texts in Mathematics)

The basic theorem of algebra states that any advanced polynomial should have a fancy root. This publication examines 3 pairs of proofs of the theory from 3 diverse components of arithmetic: summary algebra, complicated research and topology. the 1st evidence in every one pair in all fairness user-friendly and relies in basic terms on what should be thought of ordinary arithmetic.

Introduction to Differential Geometry for Engineers (Dover Civil and Mechanical Engineering)

This remarkable advisor offers vital mathematical instruments for various engineering functions, supplying engineers the elemental innovations and terminology of recent international differential geometry. appropriate for autonomous research in addition to a supplementary textual content for complex undergraduate and graduate classes, this quantity additionally constitutes a beneficial reference for keep watch over, platforms, aeronautical, electric, and mechanical engineers.

Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century (Springer Undergraduate Mathematics Series)

In response to the most recent old learn, Worlds Out of not anything is the 1st e-book to supply a path at the historical past of geometry within the nineteenth century. themes coated within the first a part of the ebook are projective geometry, specifically the idea that of duality, and non-Euclidean geometry. The ebook then strikes directly to the research of the singular issues of algebraic curves (Plücker’s equations) and their function in resolving a paradox within the thought of duality; to Riemann’s paintings on differential geometry; and to Beltrami’s function in effectively setting up non-Euclidean geometry as a rigorous mathematical topic.

Perlen der Mathematik: 20 geometrische Figuren als Ausgangspunkte für mathematische Erkundungsreisen (German Edition)

Dieses Buch handelt von 20 geometrischen Figuren (Icons), die eine wichtige Rolle bei der Veranschaulichung mathematischer Beweise spielen. Alsina und Nelsen untersuchen die Mathematik, die hinter diesen Figuren steckt und die sich aus ihnen ableiten lässt. Jedem in diesem Buch behandelten Icons ist ein eigenes Kapitel gewidmet, in dem sein Alltagsbezug, seine wesentlichen mathematischen Eigenschaften sowie seine Bedeutung für visuelle Beweise vieler mathematischer Sätze betont werden.

Additional info for Algebraic Topology via Differential Geometry (London Mathematical Society Lecture Note Series)

Example text

Download PDF sample

Rated 4.61 of 5 – based on 23 votes