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An Introduction to Nonlinear Analysis and Fixed Point Theory
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An Introduction to Nonlinear Analysis and Fixed Point Theory

2018 ed.

Book Details

Format Hardback or Cased Book
ISBN-10 9811088659
ISBN-13 9789811088650
Edition 2018 ed.
Publisher Springer Verlag, Singapore
Imprint Springer Verlag, Singapore
Country of Manufacture SG
Country of Publication GB
Publication Date May 31st, 2018
Print length 830 Pages
Weight 1,368 grams
Dimensions 23.40 x 15.50 x 4.40 cms
Product Classification: Calculus & mathematical analysis
Ksh 14,400.00
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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.
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.


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