Geometry Topology

Download An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu PDF

By Liviu Nicolaescu

This self-contained therapy of Morse concept makes a speciality of purposes and is meant for a graduate direction on differential or algebraic topology. The e-book is split into 3 conceptually particular elements. the 1st half comprises the rules of Morse idea (over the reals). the second one half comprises purposes of Morse idea over the reals, whereas the final half describes the fundamentals and a few purposes of complicated Morse idea, a.k.a. Picard-Lefschetz theory.
This is the 1st textbook to incorporate issues resembling Morse-Smale flows, min-max idea, second maps and equivariant cohomology, and complicated Morse concept. The exposition is more suitable with examples, difficulties, and illustrations, and may be of curiosity to graduate scholars in addition to researchers. The reader is anticipated to have a few familiarity with cohomology idea and with the differential and fundamental calculus on delicate manifolds.
Liviu Nicolaescu is affiliate Professor of arithmetic at college of Notre Dame.

Show description

Read Online or Download An Invitation to Morse Theory (Universitext) PDF

Best geometry & topology books

New Foundations for Physical Geometry: The Theory of Linear Structures

Topology is the mathematical examine of the main uncomplicated geometrical constitution of an area. Mathematical physics makes use of topological areas because the formal potential for describing actual house and time. This publication proposes a very new mathematical constitution for describing geometrical notions resembling continuity, connectedness, limitations of units, etc, for you to supply a greater mathematical instrument for figuring out space-time.

Fractal Geometry and Stochastics IV: 61 (Progress in Probability)

Over the past fifteen years fractal geometry has demonstrated itself as a considerable mathematical conception in its personal correct. The interaction among fractal geometry, research and stochastics has hugely prompted fresh advancements in mathematical modeling of complex buildings. This strategy has been compelled by means of difficulties in those components relating to functions in statistical physics, biomathematics and finance.

Recent Topics in Differential and Analytic Geometry (Advanced Studies in Pure Mathematics)

Complicated stories in natural arithmetic, quantity 18-I: contemporary themes in Differential and Analytic Geometry provides the advancements within the box of analytical and differential geometry. This e-book presents a few generalities approximately bounded symmetric domain names. equipped into elements encompassing 12 chapters, this quantity starts off with an summary of harmonic mappings and holomorphic foliations.

Projective Geometry: Solved Problems and Theory Review (UNITEXT)

This booklet begins with a concise yet rigorous evaluation of the elemental notions of projective geometry, utilizing hassle-free and smooth language. The target is not just to set up the notation and terminology used, but additionally to supply the reader a short survey of the subject material. within the moment half, the publication offers greater than 2 hundred solved difficulties, for lots of of which numerous replacement recommendations are supplied.

Additional info for An Invitation to Morse Theory (Universitext)

Sample text

Download PDF sample

Rated 4.40 of 5 – based on 42 votes