Lectures on Real Analysis
Book Details
Format
Hardback or Cased Book
Book Series
Australian Mathematical Society Lecture Series
ISBN-10
1107026784
ISBN-13
9781107026780
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
US
Country of Publication
GB
Publication Date
Jun 7th, 2012
Print length
128 Pages
Weight
320 grams
Dimensions
22.90 x 16.00 x 1.20 cms
Product Classification:
Real analysis, real variables
Ksh 25,000.00
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Arising from a real analysis course given by the author, this textbook is an ideal rigorous undergraduate treatment of the subject. The exposition is concise and to the point, yet all of the standard topics are covered, as well as topics that longer textbooks often omit. Over 200 exercises are included.
This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author''s exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis.
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