Real Mathematical Analysis

Charles C. Pugh

438 pages, parution le 15/04/2002

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Résumé

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.

Contents

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

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Charles C. Pugh
Parution	15/04/2002
Nb. de pages	438
Format	16 X 24
Couverture	Relié
Poids	770g
Intérieur	Noir et Blanc
EAN13	9780387952970
ISBN13	978-0-387-95297-0