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La Matematica per il 3+2

Fixed Point Theorems and Applications

Authors: Pata, Vittorino

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  • Employs a unitary approach to explore a key field of modern mathematics
  • Discusses all relevant applications of the theory of fixed points in detail
  • Although it covers advanced topics, is highly “user friendly”
  • The only book of its kind in the current literature
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eBook 42,79 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-19670-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 49,99 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-19669-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results ranging from ordinary differential equations in Banach spaces, to partial differential equations, operator theory, functional analysis, measure theory, and game theory. A final section containing 50 problems, many of which include helpful hints, rounds out the coverage. Intended for Master’s and PhD students in Mathematics or, more generally, mathematically oriented subjects, the book is designed to be largely self-contained, although some mathematical background is needed: readers should be familiar with measure theory, Banach and Hilbert spaces, locally convex topological vector spaces and, in general, with linear functional analysis.


About the authors

Vittorino Pata completed his PhD in Pure Mathematics at Indiana University, USA in December 1994. Since 2000, he has been a Professor of Mathematical Analysis at the Politecnico di Milano, Italy. His research interests touch several areas of pure and applied mathematics, including ordinary and partial differential equations (with particular emphasis on the asymptotic behavior of solutions), infinite-dimensional dynamical systems, real and functional analysis, operator theory, and noncommutative probability.

Reviews

“It could be used as a textbook for a somewhat unusual functional analysis course, or for a real analysis course that introduces functional analysis. It would also be good preparation for a course in nonlinear partial differential equations or control theory.” (John D. Cook, MAA Reviews, October 6, 2019)

Table of contents (26 chapters)

Table of contents (26 chapters)

Buy this book

eBook 42,79 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-19670-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 49,99 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-19669-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fixed Point Theorems and Applications
Authors
Series Title
La Matematica per il 3+2
Series Volume
116
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-19670-7
DOI
10.1007/978-3-030-19670-7
Softcover ISBN
978-3-030-19669-1
Series ISSN
2038-5722
Edition Number
1
Number of Pages
XVII, 171
Number of Illustrations
1 b/w illustrations
Topics

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