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Real Mathematical Analysis
Charles Chapman Pugh
€ 74.08
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Description for Real Mathematical Analysis
Hardback. Series: Undergraduate Texts in Mathematics. Num Pages: 478 pages, 163 black & white illustrations, 1 black & white tables, biography. BIC Classification: PBK; PBKB; PBKL. Category: (G) General (US: Trade). Dimension: 254 x 178 x 27. Weight in Grams: 1109.
Based on an honors course taught by the author at UC Berkeley, this introduction to undergraduate real analysis gives a different emphasis by stressing the importance of pictures and hard problems. Topics include: a natural construction of the real numbers, four-dimensional visualization, basic point-set topology, function spaces, multivariable calculus via differential forms (leading to a simple proof of the Brouwer Fixed Point Theorem), and a pictorial treatment of Lebesgue theory. Over 150 detailed illustrations elucidate abstract concepts and salient points in proofs. The exposition is informal and relaxed, with many helpful asides, examples, some jokes, and occasional comments from mathematicians, ... Read more
Based on an honors course taught by the author at UC Berkeley, this introduction to undergraduate real analysis gives a different emphasis by stressing the importance of pictures and hard problems. Topics include: a natural construction of the real numbers, four-dimensional visualization, basic point-set topology, function spaces, multivariable calculus via differential forms (leading to a simple proof of the Brouwer Fixed Point Theorem), and a pictorial treatment of Lebesgue theory. Over 150 detailed illustrations elucidate abstract concepts and salient points in proofs. The exposition is informal and relaxed, with many helpful asides, examples, some jokes, and occasional comments from mathematicians, ... Read more
Product Details
Publisher
Springer International Publishing AG
Format
Hardback
Publication date
2017
Series
Undergraduate Texts in Mathematics
Condition
New
Weight
1109g
Number of Pages
478
Place of Publication
Cham, Switzerland
ISBN
9783319177700
SKU
V9783319177700
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Charles Chapman Pugh
Charles C. Pugh is Professor Emeritus at the University of California, Berkeley. His research interests include geometry and topology, dynamical systems, and normal hyperbolicity.
Reviews for Real Mathematical Analysis
This book, in its second edition, provides the basic concepts of real analysis. ... I strongly recommend it to everyone who wishes to study real mathematical analysis. (Catalin Barbu, zbMATH 1329.26003, 2016)