Universitext

Calculus on Normed Vector Spaces

Authors: Coleman, Rodney

  • Presents an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level
  • One of the few textbooks to bridge the gap between the available elementary texts and high level texts
  • Includes many non-trivial applications of the theory and interesting exercises
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eBook $54.99
price for USA (gross)
  • ISBN 978-1-4614-3894-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-1-4614-3893-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the important topology and functional analysis topics are introduced where necessary.

In its attempt to show how calculus on normed vector spaces extends the basic calculus of functions of several variables, this book is one of the few textbooks to bridge the gap between the available elementary texts and high level texts.  The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader.

About the authors

Rodney Coleman lives close to Grenoble in France, where he is engaged in teaching and research. His interests include literature, bicycle riding and hiking in the mountains.

Reviews

From the reviews:

“Coleman (Laboratoire Jean Kuntzmann, France) generalizes the standard theorems of this subject to an arbitrary, hence possibly infinite, dimensional normed vector space, including the special cases of Banach spaces and Hilbert spaces. … Best suited for advanced undergraduate or graduate students, the text delivers the level of rigor and mathematical sophistication that one in the discipline expects from a volume published by Springer. Summing Up: Recommended. Upper-division undergraduates, graduate students, and researchers/faculty.” (D. S. Larson, Choice, Vol. 50 (10), June, 2013)

“It covers all topics of classical calculus in the broad setting of real normed spaces. … The style used in giving a complete overview of all these topics of differential calculus is a really nice one, introducing concepts whenever they are needed … . Each chapter contains a variety of interesting exercises which help to complement the material being studied. Therefore, to finish, I highly recommend this book to teachers and researchers on the subject.” (Jesús Ferrer, Mathematical Reviews, March, 2013)

Table of contents (11 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-1-4614-3894-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-1-4614-3893-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Calculus on Normed Vector Spaces
Authors
Series Title
Universitext
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-3894-6
DOI
10.1007/978-1-4614-3894-6
Softcover ISBN
978-1-4614-3893-9
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XI, 249
Topics