Overview
- Introduces all major topics in nonlinear analysis and fixed point theory in a systematic way
- Discusses applications in fields ranging from engineering to space science, hydromechanics to astrophysics, chemistry to biology, theoretical mechanics to biomechanics, and economics to stochastic game theory
- Is useful to graduate and senior undergraduate students of mathematics and engineering
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Table of contents (10 chapters)
Keywords
About this book
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.
Reviews
“This book cover many important fundamental concepts and various techniques. It shall be very useful for both students and researchers to understand and to prepare themselves for conducting research in these two areas.” (Satit Saejung, zbMATH 1447.47002, 2020)
Authors and Affiliations
About the author
Professor Pathak is on the editorial board of the American Journal of Computational and Applied Mathematics, Fixed Point Theory and Applications (Springer), Journal of Modern Methods in Numerical Mathematics, and the guest editor of the Indian Journal of Mathematics (2012-2013). He also is reviewer of the Mathematical Review of the American Mathematical Society. A member of several national and international scientific societies: American Mathematical Society, U.S.A. (1991–1995), International Federation of Nonlinear Analysts, U.S.A. (1996–2008), and Indian Science Congress Association (1985–1986), Professor Pathak is life member of the Allahabad Mathematical Society, Bharata Ganita Parishad, The Vijnana Parishad of India, Calcutta Mathematical Society and National Academy of Mathematics.
Bibliographic Information
Book Title: An Introduction to Nonlinear Analysis and Fixed Point Theory
Authors: Hemant Kumar Pathak
DOI: https://doi.org/10.1007/978-981-10-8866-7
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2018
Hardcover ISBN: 978-981-10-8865-0Published: 31 May 2018
Softcover ISBN: 978-981-13-4261-5Published: 23 December 2018
eBook ISBN: 978-981-10-8866-7Published: 19 May 2018
Edition Number: 1
Number of Pages: XXVII, 830
Number of Illustrations: 29 b/w illustrations
Topics: Analysis