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Real and Functional Analysis (Graduate Texts in Mathematics, 142)
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eBay-Artikelnr.:397247595872
Artikelmerkmale
- Artikelzustand
- subject_code
- PBK
- target_audience
- College/University
- is_adult_product
- false
- edition_number
- 3
- binding
- paperback
- edition
- 3rd ed. 1993. Softcover reprint of the original 3rd ed. 1993
- series_number
- 142
- MPN
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- manufacturer
- Springer
- volume
- 142
- Brand
- Springer
- series_title
- Graduate Texts in Mathematics, 142
- number_of_items
- 1
- pages
- 600
- genre
- Calculus & mathematical analysis
- part_number
- biography
- publication_date
- 2013-10-04T00:00:01Z
- unspsc_code
- 55101500
- batteries_included
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- ISBN
- 9781461269380
Über dieses Produkt
Product Identifiers
Publisher
Springer New York
ISBN-10
1461269385
ISBN-13
9781461269380
eBay Product ID (ePID)
202437996
Product Key Features
Number of Pages
Xiv, 580 Pages
Publication Name
Real and Functional Analysis
Language
English
Subject
Mathematical Analysis
Publication Year
2012
Type
Textbook
Subject Area
Mathematics
Series
Graduate Texts in Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.5 in
Item Weight
32 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Edition Number
3
Intended Audience
Scholarly & Professional
Series Volume Number
142
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515.8
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.
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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