A Topological Introduction to Nonlinear Analysis

Focusing on nonlinear analysis, this third edition caters to mathematicians and students with varying levels of expertise. It emphasizes key concepts from topology and features numerous illustrations to enhance understanding of geometric principles. New chapters on fixed point index and its applications expand the content, making it suitable for self-study in geometric and algebraic topology, functional analysis, and applied mathematics. The author's approachable style makes complex topics accessible to a broader audience, highlighting the beauty of nonlinear phenomena in real-world contexts.