
Real and Functional Analysis (Graduate Texts in Mathematics, 142), Lang, Serge,
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Real and Functional Analysis (Graduate Texts in Mathematics, 142), Lang, Serge,
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eBay-Artikelnr.:157457801168
Artikelmerkmale
- Artikelzustand
- Book Title
- Real and Functional Analysis
- ISBN
- 9780387940014
Über dieses Produkt
Product Identifiers
Publisher
Springer New York
ISBN-10
0387940014
ISBN-13
9780387940014
eBay Product ID (ePID)
98218
Product Key Features
Number of Pages
Xiv, 580 Pages
Publication Name
Real Analysis
Language
English
Publication Year
1993
Subject
Mathematical Analysis
Features
Revised
Type
Textbook
Subject Area
Mathematics
Series
Graduate Texts in Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.5 in
Item Weight
78.7 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Edition Number
3
Intended Audience
Scholarly & Professional
LCCN
92-021208
Dewey Edition
19
Series Volume Number
142
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515
Table Of Content
I Sets.- II Topological Spaces.- III Continuous Functions on Compact Sets.- IV Banach Spaces.- V Hilbert Space.- VI The General Integral.- VII Duality and Representation Theorems.- VIII Some Applications of Integration.- IX Integration and Measures on Locally Compact Spaces.- X Riemann-Stieltjes Integral and Measure.- XI Distributions.- XII Integration on Locally Compact Groups.- XIII Differential Calculus.- XIV Inverse Mappings and Differential Equations.- XV The Open Mapping Theorem, Factor Spaces, and Duality.- XVI The Spectrum.- XVII Compact and Fredholm Operators.- XVIII Spectral Theorem for Bounded Hermltian Operators.- XIX Further Spectral Theorems.- XX Spectral Measures.- XXI Local Integration off Differential Forms.- XXII Manifolds.- XXIII Integration and Measures on Manifolds.- Table of Notation.
Edition Description
Revised edition
Synopsis
This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Anal- ysis. I assume that the reader is acquainted with notions of uniform con- vergence and the like. In this third edition, I have reorganized the book by covering inte- gration before functional analysis. Such a rearrangement fits the way courses are taught in all the places I know of. I have added a number of examples and exercises, as well as some material about integration on the real line (e.g. on Dirac sequence approximation and on Fourier analysis), and some material on functional analysis (e.g. the theory of the Gelfand transform in Chapter XVI). These upgrade previous exercises to sections in the text. In a sense, the subject matter covers the same topics as elementary calculus, viz. linear algebra, differentiation and integration. This time, however, these subjects are treated in a manner suitable for the training of professionals, i.e. people who will use the tools in further investiga- tions, be it in mathematics, or physics, or what have you. In the first part, we begin with point set topology, essential for all analysis, and we cover the most important results., This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Anal ysis. I assume that the reader is acquainted with notions of uniform con vergence and the like. In this third edition, I have reorganized the book by covering inte gration before functional analysis. Such a rearrangement fits the way courses are taught in all the places I know of. I have added a number of examples and exercises, as well as some material about integration on the real line (e.g. on Dirac sequence approximation and on Fourier analysis), and some material on functional analysis (e.g. the theory of the Gelfand transform in Chapter XVI). These upgrade previous exercises to sections in the text. In a sense, the subject matter covers the same topics as elementary calculus, viz. linear algebra, differentiation and integration. This time, however, these subjects are treated in a manner suitable for the training of professionals, i.e. people who will use the tools in further investiga tions, be it in mathematics, or physics, or what have you. In the first part, we begin with point set topology, essential for all analysis, and we cover the most important results.
LC Classification Number
QA299.6-433
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- 1***7 (61)- Bewertung vom Käufer.Letzter MonatBestätigter KaufI ordered Real and Functional Analysis by Serge Lang from this seller. The book arrived on time and was extremely well packaged. The condition of the book was exactly as described by the seller, and I could not believe the price for the book. It was a great value for the money. The book's appearance and condition are excellent. I had no issues with this seller. I recommend this seller. For the quality and type of book, you cannot beat the price.
- 1***7 (61)- Bewertung vom Käufer.Letzter MonatBestätigter KaufI ordered Real and Functional Analysis by Serge Lang from this seller. The book arrived on time and was extremely well packaged. The condition of the book was exactly as described by the seller, and I could not believe the price for the book. It was a great value for the money. The book's appearance and condition are excellent. I had no issues with this seller. I recommend this seller. For the quality and type of book, you cannot beat the price.
- 6***6 (115)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufReceived the new book and it's much more than just as described. I enjoy reading the book so much that I can't put it down. The purchase price was good and the shipping cost was very reasonable. The new book was packaged in a bubble wrap shipping bag for protection and it arrived very fast. This Seller is AAA+++++ I would recommend them to anyone. Thank You Very Much!!!
- b***r (74)- Bewertung vom Käufer.Letzter MonatBestätigter KaufShipping was very quick, items packaged securely, better condition than I expected. Description said most were barely used/untouched, definitely matched. Great value. 10/10 seller.