Free PDF Real AnalysisBy N. L. Carothers
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Real AnalysisBy N. L. Carothers
Free PDF Real AnalysisBy N. L. Carothers
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This course in real analysis is directed at advanced undergraduates and beginning graduate students in mathematics and related fields. Presupposing only a modest background in real analysis or advanced calculus, the book offers something of value to specialists and nonspecialists alike. The text covers three major topics: metric and normed linear spaces, function spaces, and Lebesgue measure and integration on the line. In an informal, down-to-earth style, the author gives motivation and overview of new ideas, while still supplying full details and complete proofs. He provides a great many exercises and suggestions for further study.
- Sales Rank: #875313 in Books
- Color: Yellow
- Brand: Brand: Cambridge University Press
- Published on: 2000-08-15
- Original language: English
- Number of items: 1
- Dimensions: 9.96" h x .87" w x 6.97" l, 1.62 pounds
- Binding: Paperback
- 416 pages
- Used Book in Good Condition
Review
'... extremely well written: very entertaining and motivating.' Adhemar Bultheel, Bulletin of the London Mathematical Society
'The author writes lucidly in a friendly, readable style and he is strong at motivating, anticipating and reviewing the various themes that permeate the text ... The overwhelming impression is that Real analysis was a labour of love for the author, written with a genuine reverence for both its beautiful subject matter and its creators, refiners and teachers down the ages. As such - and high praise indeed - it will sit very happily alongside classics such as Apostol's Mathematical analysis, Royden's Real analysis, Rudin's Real and complex analysis and Hewitt and Stromberg's Real and abstract analysis.' The Mathematical Gazette
About the Author
Carothers is Professor of Mathematics at Bowling Green State University in Bowling Green, Ohio.
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