Real Mathematical Analysis / Edition 1

Real Mathematical Analysis / Edition 1

1.0 1
by Charles C. Pugh
     
 

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ISBN-10: 0387952977

ISBN-13: 9780387952970

Pub. Date: 03/01/2002

Publisher: Springer New York

Was plane geometry your favourite math course in high school? Did you like proving theorems? Are you sick of memorising integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is Pure Mathematics, and it is sure to appeal to

Overview

Was plane geometry your favourite math course in high school? Did you like proving theorems? Are you sick of memorising integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is Pure Mathematics, and it is sure to appeal to the budding pure mathematician. In this new introduction to undergraduate real analysis the author takes a different approach from past studies of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians like Dieudonne, Littlewood and Osserman. The author has taught the subject many times over the last 35 years at Berkeley and this book is based on the honours version of this course. The book contains an excellent selection of more than 500 exercises.

Product Details

ISBN-13:
9780387952970
Publisher:
Springer New York
Publication date:
03/01/2002
Series:
Undergraduate Texts in Mathematics Series
Edition description:
1st ed. 2002. Corr. 2nd printing 2003
Pages:
440
Product dimensions:
9.21(w) x 6.14(h) x 1.00(d)

Table of Contents

Real Numbers
• A Taste of Topology
• Functions of a Real Variable
• Function Spaces
• Multivariable Calculus
• Lebesgue Theory
• Index

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1 out of 5 based on 0 ratings. 1 reviews.
Guest More than 1 year ago
Although this book provides numerous good exercises, many of the problems are wrong in the first place. Chapter 5 Exercise 4A and 28E are false, and my professor had to remove them (along with other problems from other chapters) from our homework sets either because they are false or poorly worded. The majority of the proof lacks mathematical rigor and the author spend more time showing off his knowledge than reaching to the student's level. Unless you have taken another upper division analysis course, you may find this book hard to follow, and I suggest that you consider: ISBN 0-07-054234-X Principles of Mathematical Analysis (3rd Edition) Walter Rudine first before you consider buying Pugh's book.