Nonlinear theory mathematical foundation

Author: Yao Miao Xin
Publisher:
Publish Date: 2005-08-01
Features: This book is based on the lecture notes prepared by the author for decades of teaching nonlinear mathematics courses to Ph.D. students in non-mathematics disciplines at Tianjin University. The content includes: spatial structures and mappings, the basics of nonlinear functional analysis and modern variational methods, the fundamentals of nonlinear dynamical systems, bifurcation and singularity theory, as well as the basics of chaos and fractals. The book emphasizes the connections between relevant concepts and theories, maintains a rigorous mathematical framework, and organically combines the goals of learning the fundamentals of nonlinear theory with enhancing modern mathematical literacy. It is suitable for Ph.D. students in non-mathematics disciplines at universities or master's students with higher mathematical requirements, who may use part or all of the content as a textbook or teaching reference. It can also be referenced by relevant teachers or scientific and technological workers.