Real and Functional Analysis (Paperback)
Language: English
Published by Springer-Verlag New York Inc., New York, NY, 2012
- Softcover
- New
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail
AbeBooks seller since October 12, 2005
Condition: New
£ 52.16
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Paperback. 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. on Dirac sequence approximation and on Fourier analysis), and some material on functional analysis (e.g. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…
Seller Inventory # 9781461269380
- Title
- Real and Functional Analysis (Paperback)
- Author
- Serge Lang
- Publisher
- Springer-Verlag New York Inc., New York, NY
- Publication year
- 2012
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1461269385
- ISBN 13
- 9781461269380
- Edition
- 3rd Edition
- Series
- Book 18 of 180: Graduate Texts in Mathematics
This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly independent. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters.
"Synopsis" may belong to another edition of this title.
From the Back Cover
"About the title" may belong to another edition of this title.
Grand Eagle Retail
Bensenville, IL, U.S.A.
AbeBooks seller since October 12, 2005
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