Metric Spaces Iteration and Application

Name: Metric Spaces Iteration and Application
Price: 7.79 USD
Availability: InStock
ISBN: 9780521318976

ISBN-10: 0521318971

ISBN-13: 9780521318976

Edition: 1985

Authors: Victor W. Bryant

List price: $48.99

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Description:

Here is an introductory text on metric spaces that is the first to be written for students who are as interested in the applications as in the theory. Knowledge of metric spaces is fundamental to understanding numerical methods (for example for solving differential equations) as well as analysis, yet most books at this level emphasise just the abstraction and theory. Dr Bryant uses applications to provide motivation and to sustain the development and discusses numerical procedures where appropriate. The reader is expected to have had some exposure to elementary analysis, but the author provides examples throughout to refresh the student's memory and to test and extend understanding. In…

Book details

List price: $48.99
Copyright year: 1985
Publisher: Cambridge University Press
Publication date: 5/2/1985
Binding: Paperback
Pages: 112
Size: 5.59" wide x 8.43" long x 0.28" tall
Weight: 0.286
Language: English



Preface



Sequences by iteration



Where are we heading?



Sequences of numbers by iteration



Iterations in a different world



Metric spaces



Distance



Examples of metric spaces



Sequences



The three Cs



Iteration revisited



Closed sets



An internal test for convergence



Complete sets



Compact sets



The contraction mapping principle



Real fixed points



Contractions



Real contractions revisited



Some extensions



Differential equations



The implicit function theorem



Conclusion



What makes analysis work?



Continuity



Attained bounds



Uniform continuity



Inverse functions



Intermediate values



Some final remarks


Index