An Introduction to Nonlinear Analysis and Fixed Point Theory is popular PDF and ePub book, written by Hemant Kumar Pathak in 2018-05-19, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, An Introduction to Nonlinear Analysis and Fixed Point Theory can be Read Online from any device for your convenience.
An Introduction to Nonlinear Analysis and Fixed Point Theory Book PDF Summary
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.
Detail Book of An Introduction to Nonlinear Analysis and Fixed Point Theory PDF
- Author : Hemant Kumar Pathak
- Release : 19 May 2018
- Publisher : Springer
- ISBN : 9789811088667
- Genre : Mathematics
- Total Page : 830 pages
- Language : English
- PDF File Size : 7,5 Mb
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