Nonlinear and Functional Analysis: Lectures on Nonlinear Problems in Mathematical Analysis

Author: M.S. Berger
Publisher:
Publish Date: 2005-01-01
Features: This book systematically elaborates on the fundamental theories, methods, tools, and results in nonlinear functional analysis, such as the implicit function theorem, topological methods, variational methods, bifurcation theory, and various nonlinear operators with wide-ranging applications. Additionally, it introduces the extensive applications of this discipline in classical and modern mathematical physics. The content is comprehensive and systematic, making it suitable for senior undergraduate and graduate students, teachers, and professionals working in mathematics, mathematical physics, and mechanics. This book systematically elaborates on the fundamental theories, methods, tools, and results in nonlinear functional analysis, such as the implicit function theorem, topological methods, variational methods, bifurcation theory, and various nonlinear operators with wide-ranging applications.