An Introduction to Modern Analysis

Authors: Montesinos Santalucía, Vicente, Zizler, Peter, Zizler, Václav

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  • Carefully examines the main principles, results and techniques in advanced undergraduate real analysis courses
  • Fully self-contained, it presents proofs and an ample amount of nontrivial exercises with hints to help to master the subject
  • Provides links to several areas of modern analysis like Functional analysis, Fourier analysis and Nonlinear analysis at the graduate level
  • Individual chapters may be downloaded separately for professors interested in teaching a particular topic in-depth
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eBook 67,82 €
price for Spain (gross)
  • ISBN 978-3-319-12481-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 93,59 €
price for Spain (gross)
  • ISBN 978-3-319-12480-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-35549-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

Examining the basic principles in real analysis and their applications, this text provides a self-contained resource for graduate and advanced undergraduate courses. It contains independent chapters aimed at various fields of application, enhanced by highly advanced graphics and results explained and supplemented with practical and theoretical exercises. The presentation of the book is meant to provide natural connections to classical fields of applications such as Fourier analysis or statistics. However, the book also covers modern areas of research, including new and seminal results in the area of functional analysis.   

About the authors

Vincente Montesinos is a Corresponding Member of the Spanish Royal Academy of Sciences, and is a Professor at the Universidad Politécnica de Valencia, Spain.

Peter Zizler is an Associate Professor at Mount Royal University in Calgary, Canada.

Václav Zizler is the former Head of Research at the Mathematical Institute of the Czech Academy of Sciences, and previously served as Faculty Lecturer at the University of Alberta, and Professor of Mathematics at the University of Alberta, Edmonton. In 2001, his book Functional Analysis and Infinite Dimensional Geometry was named university textbook of the year by the Czech Minister of Education.   

Reviews

“The book under review … published as a 21st century introduction to modern analysis, is closer in spirit to Dieudonné’s text, but there are substantial differences. … Instructors and students will no doubt relish this treasure trove of problems – the exercises and hints account for a quarter of the book’s 863 pages! … When all has been said and done, the authors must be congratulated on writing a useful textbook that includes plenty of bonuses for both students and instructors.” (Tushar Das, MAA Reviews, maa.org, June, 2016)

“This book presents a widely treated approach to the foundations of modern analysis. … recommended to teachers and researchers, who will find here a new view of interrelations between various phenomena in analysis where topological facts and powerful methods of functional analysis play an essential role. … comments by the authors describing the exact meaning of notions and ideas, together with a host of exercises showing the power of theory applicable in ‘practical’ problems, make this book useful and modern.” (Marek Balcerzak, Mathematical Reviews, January, 2016)

“This monograph presents a combined introduction to both elementary mathematical analysis and real analysis. … this monograph covers a wide range of topics and can be warmly recommended to everyone in need of a text- and reference book in real analysis.” (Dirk Werner, zbMATH 1321.26001, 2015)


  

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Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook 67,82 €
price for Spain (gross)
  • ISBN 978-3-319-12481-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 93,59 €
price for Spain (gross)
  • ISBN 978-3-319-12480-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-35549-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Modern Analysis
Authors
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-3-319-12481-0
DOI
10.1007/978-3-319-12481-0
Hardcover ISBN
978-3-319-12480-3
Softcover ISBN
978-3-319-35549-8
Edition Number
1
Number of Pages
XXXI, 863
Number of Illustrations
334 b/w illustrations, 5 illustrations in colour
Topics