By Liviu Nicolaescu
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 improved with examples, difficulties, and illustrations, and should be of curiosity to graduate scholars in addition to researchers. The reader is anticipated to have a few familiarity with cohomology conception and with the differential and necessary calculus on soft manifolds.
Liviu Nicolaescu is affiliate Professor of arithmetic at collage of Notre Dame.
Read Online or Download An Invitation to Morse Theory (Universitext) PDF
Similar geometry & topology books
This new textbook demonstrates that geometry will be built in 4 essentially alternative ways, and that every one may be used if the topic is to be proven in all its attractiveness. Euclid-style building and axiomatics look how to commence, yet linear algebra smooths the later phases via exchanging a few tortuous arguments by way of uncomplicated calculations.
Meant for a three hundred and sixty five days direction, this quantity serves as a unmarried resource, introducing scholars to the real recommendations and theorems, whereas additionally containing sufficient history on complicated themes to entice these scholars wishing to specialise in Riemannian geometry. this can be one of many few works to mix either the geometric elements of Riemannian geometry and the analytic elements of the idea, whereas additionally offering the main up to date study.
One of many major achievements of algebraic geometry over the past 30 years is the paintings of Mori and others extending minimum types and the Enriques-Kodaira type to 3-folds. This e-book, first released in 2000, is an built-in suite of papers concentrated round functions of Mori concept to birational geometry.
This article provides a graduate-level advent to differential geometry for arithmetic and physics scholars. The exposition follows the ancient improvement of the innovations of connection and curvature with the aim of explaining the Chern–Weil conception of attribute periods on a relevant package.
- Minimal Free Resolutions over Complete Intersections (Lecture Notes in Mathematics)
- A Theory of Branched Minimal Surfaces (Springer Monographs in Mathematics)
- Das Glück, Mathematiker zu sein: Friedrich Hirzebruch und seine Zeit (German Edition)
- Geometric Measure Theory: A Beginner's Guide
- Fractal Solutions for Understanding Complex Systems in Earth Sciences (Springer Earth System Sciences)
Extra resources for An Invitation to Morse Theory (Universitext)
An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu