An Introduction To Nonlinear Analysis And Fixed Point Theory
by Hemant Kumar Pathak /
2018 / English / PDF
27.2 MB Download
This book systematically introduces the theory of nonlinear
analysis, providing an overview of topics such as geometry of
Banach spaces, differential calculus in Banach spaces, monotone
operators, and fixed point theorems. It also discusses degree
theory, nonlinear matrix equations, control theory, differential
and integral equations, and inclusions. The book presents
surjectivity theorems, variational inequalities, stochastic game
theory and mathematical biology, along with a large number of
applications of these theories in various other disciplines.
Nonlinear analysis is characterised by its applications in
numerous interdisciplinary fields, ranging from engineering to
space science, hydromechanics to astrophysics, chemistry to
biology, theoretical mechanics to biomechanics and economics to
stochastic game theory.
This book systematically introduces the theory of nonlinear
analysis, providing an overview of topics such as geometry of
Banach spaces, differential calculus in Banach spaces, monotone
operators, and fixed point theorems. It also discusses degree
theory, nonlinear matrix equations, control theory, differential
and integral equations, and inclusions. The book presents
surjectivity theorems, variational inequalities, stochastic game
theory and mathematical biology, along with a large number of
applications of these theories in various other disciplines.
Nonlinear analysis is characterised by its applications in
numerous interdisciplinary fields, ranging from engineering to
space science, hydromechanics to astrophysics, chemistry to
biology, theoretical mechanics to biomechanics and economics to
stochastic game theory.
Organised into ten chapters, the book shows the elegance of the
subject and its deep-rooted concepts and techniques, which
provide the tools for developing more realistic and accurate
models for a variety of phenomena encountered in diverse applied
fields. It is intended for graduate and undergraduate students of
mathematics and engineering who are familiar with discrete
mathematical structures, differential and integral equations,
operator theory, measure theory, Banach and Hilbert spaces,
locally convex topological vector spaces, and linear functional
analysis.
Organised into ten chapters, the book shows the elegance of the
subject and its deep-rooted concepts and techniques, which
provide the tools for developing more realistic and accurate
models for a variety of phenomena encountered in diverse applied
fields. It is intended for graduate and undergraduate students of
mathematics and engineering who are familiar with discrete
mathematical structures, differential and integral equations,
operator theory, measure theory, Banach and Hilbert spaces,
locally convex topological vector spaces, and linear functional
analysis.
