A Course in Modern Analysis and its Applications
1st Edition
Published on 20. December 2004
978-0-511-05533-1 (ISBN)
Description
Designed for one-semester courses at the senior undergraduate level, this 2003 book will appeal to mathematics undergraduates, to mathematics teachers, and to others who need to learn some mathematical analysis for use in other areas such as engineering, physics, biology or finance. Topics such as completeness and compactness are approached initially through convergence of sequences in metric space, and the emphasis remains on this approach. However, the alternative topological approach is described in a separate chapter. This gives the book more flexibility, making it especially useful as an introduction to more advanced areas such as functional analysis. Nominal divisions of pure and applied mathematics have been merged, leaving enough for students of either inclination to have a feeling for what further developments might look like. Applications have been included from such fields as differential and integral equations, systems of linear algebraic equations, approximation theory, numerical analysis and quantum mechanics.
Reviews / Votes
'The book can be warmly recommended to all instructors of graduate and undergraduate courses in analysis, as well as for interested students.' Acta Scientiarum MathematicarumMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
College/higher education
Professional and scholarly
Illustrations
Worked examples or Exercises; 16 Line drawings, unspecified
File size
2,51 MB
ISBN-13
978-0-511-05533-1 (9780511055331)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Graeme L. Cohen
A Course in Modern Analysis and its Applications
Book
06/2003
Cambridge University Press
€268.80
Shipment within 15-20 days
Graeme L. Cohen
A Course in Modern Analysis and its Applications
Book
06/2003
Cambridge University Press
€104.30
Shipment within 15-20 days
Person
Content
Preface; 1. Prelude to modern analysis; 2. Metric spaces; 3. The fixed point theorem and its applications; 4. Compactness; 5. Topological spaces; 6. Nomed vector spaces; 7. Mappings on normed spaces; 8. Inner product spaces; 9. Hilbert spaces; References; Index.
