By Yoav Benyamini and Joram Lindenstrauss

ISBN-10: 0821808354

ISBN-13: 9780821808351

The e-book provides a scientific and unified research of geometric nonlinear sensible research. This region has its classical roots firstly of the 20th century and is now a really lively examine sector, having shut connections to geometric degree idea, likelihood, classical research, combinatorics, and Banach house thought. the most subject matter of the ebook is the research of uniformly non-stop and Lipschitz services among Banach areas (e.g., differentiability, balance, approximation, life of extensions, fastened issues, etc.). This learn leads certainly additionally to the type of Banach areas and in their very important subsets (mainly spheres) within the uniform and Lipschitz different types. Many contemporary fairly deep theorems and gentle examples are incorporated with entire and precise proofs. not easy open difficulties are defined and defined, and promising new study instructions are indicated.