Real Mathematical Analysis

Buch | Hardcover
440 Seiten
2003 | 1st ed. 2002. Corr. 2nd printing 2003
Springer-Verlag New York Inc.
978-0-387-95297-0 (ISBN)

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Real Mathematical Analysis - Charles Chapman Pugh
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Providing an introduction to undergraduate real analysis, this work takes a different approach by stressing the importance of pictures in mathematics and hard problems. It contains helpful aides, examples and occasional comments from mathematicians like Dieudonne, Littlewood and Osserman.
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.

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

Reihe/Serie Undergraduate Texts in Mathematics
Zusatzinfo biography
Verlagsort New York, NY
Sprache englisch
Maße 156 x 234 mm
Gewicht 818 g
Themenwelt Mathematik / Informatik Mathematik Analysis
ISBN-10 0-387-95297-7 / 0387952977
ISBN-13 978-0-387-95297-0 / 9780387952970
Zustand Neuware
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