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An Introduction to Nonlinear Analysis and Fixed Point Theory

Hemant Kumar Pathak (Taschenbuch, Englisch)

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Beschreibung
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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Technische Daten


Erscheinungsdatum
23.12.2018
Sprache
Englisch
EAN
9789811342615
Herausgeber
Springer Singapore
Sonderedition
Nein
Autor
Hemant Kumar Pathak
Seitenanzahl
830
Auflage
Softcover reprint of the original 1st edition 2018
Einbandart
Taschenbuch
Autorenporträt
Hemant Kumar Pathak is professor and head of the School of Studies in Mathematics at Pt. Ravishankar Shukla University, Raipur, India. He is also the dean of science, member of the standing committee, director of the Center for Basic Sciences (CBS) and director of Human Resource Development Centre at Pt. Ravishankar Shukla University. He also has worked at Kalyan Mahavidyalaya, Bhilai Nagar, and the Government Postgraduate College, Dhamtari, India. He earned his PhD from Pt. Ravishankar Shukla University in 1988. Professor Pathak has been awarded the “Distinguished Service Award 2011” by the Vijnana Parishad of India. With teaching and research experience of over 39 years, he has published more than 233 research papers in leading international journals in areas of approximation theory, operator theory, integration theory, fixed point theory, number theory, cryptography, summability theory and fuzzy set theory. Professor Pathak is on the editorial board of the
Schlagwörter
Topological Spaces, Sobolev spaces, Banach Spaces, Duality mapping, Monotone Operators, Phi-accretive Operators, Fixed Point Theorems, Degree Theory, Measure of noncompactness, Condensing operators, Nonlinear integral inclusions
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
Höhe
235 mm
Breite
15.5 cm

Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH

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