Logo

The Convenient Setting of Global Analysis

Large book cover: The Convenient Setting of Global Analysis

The Convenient Setting of Global Analysis
by

Publisher: American Mathematical Society
ISBN/ASIN: 0821807803
ISBN-13: 9780821807804
Number of pages: 624

Description:
This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory. Many applications are included: manifolds of smooth mappings, groups of diffeomorphisms, geodesics on spaces of Riemannian metrics, direct limit manifolds, perturbation theory of operators, and differentiability questions of infinite dimensional representations.

Home page url

Download or read it online for free here:
Download link
(4MB, PDF)

Similar books

Book cover: An Introduction to Gaussian GeometryAn Introduction to Gaussian Geometry
by - Lund University
These notes introduce the beautiful theory of Gaussian geometry i.e. the theory of curves and surfaces in three dimensional Euclidean space. The text is written for students with a good understanding of linear algebra and real analysis.
(8358 views)
Book cover: A Geometric Approach to Differential FormsA Geometric Approach to Differential Forms
by - arXiv
This is a textbook on differential forms. The primary target audience is sophomore level undergraduates enrolled in a course in vector calculus. Later chapters will be of interest to advanced undergraduate and beginning graduate students.
(10949 views)
Book cover: Lectures on Calabi-Yau and Special Lagrangian GeometryLectures on Calabi-Yau and Special Lagrangian Geometry
by - arXiv
An introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by recent results on singularities of special Lagrangian submanifolds, and their application to the SYZ Conjecture.
(9304 views)
Book cover: Lectures on Fibre Bundles and Differential GeometryLectures on Fibre Bundles and Differential Geometry
by - Tata Institute of Fundamental Research
From the table of contents: Differential Calculus; Differentiable Bundles; Connections on Principal Bundles; Holonomy Groups; Vector Bundles and Derivation Laws; Holomorphic Connections (Complex vector bundles, Almost complex manifolds, etc.).
(6934 views)