By Liviu Nicolaescu
This self-contained therapy of Morse concept specializes in functions and is meant for a graduate direction on differential or algebraic topology, and also will be of curiosity to researchers. This is the 1st textbook to incorporate themes similar to Morse-Smale flows, Floer homology, min-max thought, second maps and equivariant cohomology, and intricate Morse theory. The reader is anticipated to have a few familiarity with cohomology thought and differential and vital calculus on delicate manifolds.
Some good points of the second one version comprise further functions, akin to Morse thought and the curvature of knots, the cohomology of the moduli area of planar polygons, and the Duistermaat-Heckman formulation. the second one version additionally contains a new bankruptcy on Morse-Smale flows and Whitney stratifications, many new routines, and numerous corrections from the 1st edition.
Read Online or Download An Invitation to Morse Theory (Universitext) PDF
Similar geometry & topology books
This ebook presents a accomplished and self-contained exposition of the algebro-geometric conception of singularities of airplane curves, overlaying either its classical and its glossy features. The booklet offers a unified therapy, with entire proofs, proposing sleek effects that have in basic terms ever seemed in study papers.
This e-book contains a set of papers from contributors on the IMCS Workshop on Computational and Geometric points of contemporary Algebra, held at Heriot-Watt college in 1998. Written by way of major researchers, the papers disguise a variety of themes within the shiny parts of be aware difficulties in algebra and geometric workforce concept.
A suggestions handbook to accompany Geometry of Convex units Geometry of Convex Sets begins with easy definitions of the innovations of vector addition and scalar multiplication after which defines the concept of convexity for subsets of n-dimensional house. Many homes of convex units could be chanced on utilizing simply the linear constitution.
This quantity comprises papers from the second one foreign Curriculum convention backed by way of the guts for the learn of arithmetic Curriculum (CSMC). The meant viewers comprises coverage makers, curriculum builders, researchers, academics, instructor running shoes, and someone else attracted to college arithmetic curricula.
- Geometry: A Comprehensive Course (Dover Books on Mathematics)
- Dynamical Scale Transform in Tropical Geometry
- Advances in the Homotopy Analysis Method
- Elimination Methods (Texts & Monographs in Symbolic Computation)
Extra resources for An Invitation to Morse Theory (Universitext)