This is an introduction to the analysis of metric and normed linear spaces for undergraduate students in mathematics. Assuming a basic knowledge of real analysis and linear algebra, the student is exposed to the axiomatic method in analysis and is shown its power in exploiting the structure of fundamental analysis, which underlies a variety of applications. An example is the link between normed linear spaces and linear algebra finite dimensional spaces are discussed early. The treatment progresses from the concrete to the abstract: thus metric spaces are studied in some detail before general topology is begun, though topological properties of metric spaces are explored in the book. Graded exercises are provided at the end of each section in each set the earlier exercises are designed to assist in the detection of the structural properties in concrete examples while the later ones are more conceptually sophisticated.
About John R. Giles
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Author  :  John R. Giles 
Publisher  :  Cambridge University Press 
Data Published  :  03 September 1987 
ISBN  :  0521359287 
EAN  :  9780521359283 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  272 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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