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Charles Chapman Pugh Real Mathematical Analysis (Hardback)
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eBay item number:335161942382
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Book Title
- Real Mathematical Analysis
- Publication Name
- Real Mathematical Analysis
- Title
- Real Mathematical Analysis
- Format
- Hardcover
- EAN
- 9783319177700
- ISBN
- 9783319177700
- Edition
- 2nd ed. 2015
- Publisher
- Springer International Publishing A&G
- Genre
- Science Nature & Math
- Release Year
- 2015
- Release Date
- 07/08/2015
- Language
- English
- Country/Region of Manufacture
- CH
- Item Height
- 254mm
- Item Length
- 10in
- Series
- Undergraduate Texts in Mathematics Ser.
- Publication Year
- 2015
- Type
- Textbook
- Item Width
- 7in
- Item Weight
- 39.3 Oz
- Number of Pages
- Xi, 478 Pages
About this product
Product Information
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, such as Littlewood, Dieudonné, and Osserman. This book thus succeeds in being more comprehensive, more comprehensible, and more enjoyable, than standard introductions to analysis.New to the second edition of Real Mathematical Analysis is a presentation of Lebesgue integration done almost entirely using the undergraph approach of Burkill. Payoffs include: concise picture proofs of the Monotone and Dominated Convergence Theorems, a one-line/one-picture proof of Fubini's theorem from Cavalieri's Principle, and, in many cases, the ability to see an integral result from measure theory. The presentation includes Vitali's Covering Lemma, density points -- which are rarely treated in books at this level -- and the almost everywhere differentiability of monotone functions. Several new exercises now join a collection of over 500 exercises that pose interesting challenges and introduce special topics to the student keen on mastering this beautiful subject.
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3319177702
ISBN-13
9783319177700
eBay Product ID (ePID)
240471991
Product Key Features
Publication Name
Real Mathematical Analysis
Format
Hardcover
Language
English
Publication Year
2015
Series
Undergraduate Texts in Mathematics Ser.
Type
Textbook
Number of Pages
Xi, 478 Pages
Dimensions
Item Length
10in
Item Width
7in
Item Weight
39.3 Oz
Additional Product Features
Number of Volumes
1 Vol.
Lc Classification Number
Qa312-312.5
Edition Number
2
Reviews
"This book, in its second edition, provides thebasic concepts of real analysis. ... I strongly recommend it to everyone whowishes to study real mathematical analysis." (Catalin Barbu, zbMATH 1329.26003,2016)
Original Language
English
Table of Content
Real Numbers.- A Taste of Topology.- Functions of a Real Variable.- Function Spaces.- Multivariable Calculus.- Lebesgue Theory.
Copyright Date
2015
Topic
Mathematical Analysis
Dewey Decimal
515
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Mathematics
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eBay item number:335161942382
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