Get An Introduction to Manifolds (Universitext) PDF

By Loring W. Tu

Manifolds, the higher-dimensional analogs of delicate curves and surfaces, are primary gadgets in sleek arithmetic. Combining facets of algebra, topology, and research, manifolds have additionally been utilized to classical mechanics, basic relativity, and quantum box theory.

In this streamlined creation to the topic, the speculation of manifolds is gifted with the purpose of supporting the reader in achieving a speedy mastery of the fundamental themes. via the top of the publication the reader might be in a position to compute, no less than for easy areas, the most simple topological invariants of a manifold, its de Rham cohomology. alongside the best way, the reader acquires the data and talents helpful for additional learn of geometry and topology. The needful point-set topology is integrated in an appendix of twenty pages; different appendices overview proof from actual research and linear algebra. tricks and suggestions are supplied to some of the routines and problems.

This paintings can be utilized because the textual content for a one-semester graduate or complicated undergraduate direction, in addition to by way of scholars engaged in self-study. Requiring merely minimum undergraduate necessities, 'Introduction to Manifolds' can be a good origin for Springer's GTM eighty two, 'Differential types in Algebraic Topology'.

Show description

Read Online or Download An Introduction to Manifolds (Universitext) PDF

Best geometry & topology books

Essential Topology (Springer Undergraduate Mathematics by Martin D. Crossley PDF

Taking an instantaneous path, 'Essential Topology' brings crucial features of recent topology close by of a second-year undergraduate scholar. It starts with a dialogue of continuity and, when it comes to many examples, results in the prestigious 'Hairy Ball theorem' and directly to homotopy and homology: the cornerstones of latest algebraic topology.

Get The Local Structure of Algebraic K-Theory: 18 (Algebra and PDF

Algebraic K-theory encodes vital invariants for a number of mathematical disciplines, spanning from geometric topology and practical research to quantity conception and algebraic geometry. As is usually encountered, this strong mathematical item is particularly challenging to calculate. except Quillen's calculations of finite fields and Suslin's calculation of algebraically closed fields, few whole calculations have been to be had prior to the invention of homological invariants provided by means of motivic cohomology and topological cyclic homology.

Download e-book for iPad: Homotopy Theory of Higher Categories: From Segal Categories by Carlos Simpson

The learn of upper different types is attracting growing to be curiosity for its many purposes in topology, algebraic geometry, mathematical physics and classification conception. during this hugely readable booklet, Carlos Simpson develops an entire set of homotopical algebra recommendations and proposes a operating concept of upper different types.

New PDF release: Compactifying Moduli Spaces for Abelian Varieties (Lecture

This quantity offers the development of canonical modular compactifications of moduli areas for polarized Abelian forms (possibly with point structure), construction at the prior paintings of Alexeev, Nakamura, and Namikawa.

Additional info for An Introduction to Manifolds (Universitext)

Sample text

Download PDF sample

An Introduction to Manifolds (Universitext) by Loring W. Tu


by Kenneth
4.5

Rated 4.03 of 5 – based on 47 votes