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Real Mathematical Analysis
Author
Title
Real Mathematical Analysis [electronic resource] / by Charles Chapman Pugh.
ISBN
9780387216843
Published
New York, NY : Springer New York : Imprint: Springer, 2002.
Physical Description
XI, 437 p. 133 illus. digital.
Local Notes
Access is available to the Yale community.
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Access restricted by licensing agreement.
Summary
Was plane geometry your favorite math course in high school? Did you like proving theorems? Are you sick of memorizing 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 presentations 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 such as Dieudonne, Littlewood and Osserman. This book is based on the honors version of a course which the author has taught many times over the last 35 years at Berkeley. The book contains an excellent selection of more than 500 exercises.
Variant and related titles
Springer ebooks.
Other formats
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
April 03, 2013
Series
Undergraduate Texts in Mathematics,
Contents
Real Numbers
A Taste of Topology
Functions of a Real Variable
Function Spaces
Multivariable Calculus
Lebesgue Theory
Index.
Subjects
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