Item description for An Introduction to Mathematical Analysis by H. S. Bear...
Originally published in 1997, An Introduction to Mathematical Analysis provides a rigorous approach to real analysis and the basic ideas of complex analysis. Although the approach is axiomatic, the language is evocative rather than formal, and the proofs are clear and well motivated. The author writes with the reader always in mind. The text includes a novel and simplified approach to the Lebesgue integral, a topic not usually found in books at this level. The problems are scattered throughout the text, and are designed to get the student actively involved in the development at every stage.
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Est. Packaging Dimensions: Length: 8.9" Width: 6" Height: 0.8" Weight: 0.85 lbs.
Publisher The Blackburn Press
ISBN 1930665881 ISBN13 9781930665880
Availability 88 units. Availability accurate as of Jan 20, 2017 01:42.
Usually ships within one to two business days from La Vergne, TN.
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More About H. S. Bear
Bear is affiliated with the University of Hawaii at Manoa.
H. S. Bear currently resides in the state of Hawaii.
Reviews - What do customers think about An Introduction to Mathematical Analysis?
Only analysis of real and complex fields... Dec 29, 2004
Bear does an excellent job of introducing real and complex analysis, but fails to generalize to general metric spaces and ignores R^n, for n>2.
However, he presents the fields axioms for the reals in a clear fashion. And he has an entire chapter devoted to the natural numbers, making rigorous all the arithmetic you learned in elementary school.
I used this book as a supplement to Rudin.
First Rate! Jun 4, 2000
H. S. Bear seems to be one of the best kept secrets around. His writing in general is superb. This book is a well organized first course in analysis broken into digestible chunks and surprisingly thorough. It covers the basic topics and then introduces the reader to complex analysis and later to Lebesque integration.