Metric Spaces Iteration and Application
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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 short, this is an introductory textbook that will appeal to students of mathematics and engineering and will give them the required background for more advanced courses in both analysis and numerical analysis.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $43.99
Copyright year: 1985
Publisher: Cambridge University Press
Publication date: 5/2/1985
Size: 5.50" wide x 8.50" long x 0.25" tall
|Sequences by iteration|
|Where are we heading?|
|Sequences of numbers by iteration|
|Iterations in a different world|
|Examples of metric spaces|
|The three Cs|
|An internal test for convergence|
|The contraction mapping principle|
|Real fixed points|
|Real contractions revisited|
|The implicit function theorem|
|What makes analysis work?|
|Some final remarks|