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Cornerstones Ser.: Advanced Real Analysis by Anthony W. Knapp (2005, Hardcover)

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Advanced Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. Along with a companion volume Basic Real Analysis (available separately or together as a Set via the Related Links nearby), these works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. Key topics and features of Advanced Real Analysis: * Develops Fourier analysis and functional analysis with an eye toward partial differential equations * Includes chapters on Sturm-Liouville theory, compact self-adjoint operators, Euclidean Fourier analysis, topological vector spaces and distributions, compact and locally compact groups, and aspects of partial differential equations * Contains chapters about analysis on manifolds and foundations of probability * Proceeds from the particular to the general, often introducing examples well before a theory that incorporates them * Includes many examples and nearly two hundred problems, and a separate 45-page section gives hints or complete solutions for most of the problems * Incorporates, in the text and especially in the problems, material in which real analysis is used in algebra, in topology, in complex analysis, in probability, in differential geometry, and in applied mathematics of various kinds Advanced Real Analysis requires of the reader a first course in measure theory, including an introduction to the Fourier transform and to Hilbert and Banach spaces. Some familiarity with complex analysis is helpful for certain chapters. The book is suitable as a text in graduate courses such as Fourier and functional analysis, modern analysis, and partial differential equations. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for self-study, especially for graduate students preparing for qualifying examinations. Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, mathematical physics, and differential equations. Indeed, the clarity and breadth of Advanced Real Analysis make it a welcome addition to the personal library of every mathematician.

Product Identifiers

Publisher
Birkhäuser Boston
ISBN-10
0817643826
ISBN-13
9780817643829
eBay Product ID (ePID)
46838603

Product Key Features

Author
Anthony W. Knapp
Publication Name
Advanced Real Analysis
Format
Hardcover
Language
English
Series
Cornerstones Ser.
Publication Year
2005
Type
Textbook
Number of Pages
Xxiv, 466 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Item Weight
67 Oz

Additional Product Features

Number of Volumes
1 Vol.
Lc Classification Number
Qa299.6-433
Reviews
From the reviews:It is useful both as a course text and for self-study. One can see, that its content is near all areas of pure mathematics, as well as applied mathematics, including statistics, mathematical physics, and differential equations. I think that and this volume turns to be useful for any mathematical library and can be recommended to students and lecturers.(ZENTRALBLATT MATH), From the reviews: "It is useful both as a course text and for self-study. One can see, that its content is near all areas of pure mathematics, as well as applied mathematics, including statistics, mathematical physics, and differential equations. I think that and this volume turns to be useful for any mathematical library and can be recommended to students and lecturers."(ZENTRALBLATT MATH), From the reviews: a?It is useful both as a course text and for self-study. One can see, that its content is near all areas of pure mathematics, as well as applied mathematics, including statistics, mathematical physics, and differential equations. I think that and this volume turns to be useful for any mathematical library and can be recommended to students and lecturers.a?(ZENTRALBLATT MATH)
Table of Content
to Boundary-Value Problems.- Compact Self-Adjoint Operators.- Topics in Euclidean Fourier Analysis.- Topics in Functional Analysis.- Distributions.- Compact and Locally Compact Groups.- Aspects of Partial Differential Equations.- Analysis on Manifolds.- Foundations of Probability.
Copyright Date
2005
Topic
Differential Equations / General, Functional Analysis, Mathematical Analysis
Lccn
2005-050072
Dewey Decimal
515
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Mathematics

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Cornerstones Ser.: Advanced Real Analysis by Anthony W. Knapp (2005, Hardcover)

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artículo 1 Advanced Real Analysis by Knapp, Anthony W.

artículo 2 Advanced Real Analysis (Cornerstones) by Knapp, Anthony W. Hardback Book The

artículo 3 Advanced Real Analysis by Knapp, Anthony W. , hardcover

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artículo 5 Advanced Real Analysis by Anthony W Knapp: New

artículo 6 Advanced Real Analysis: Along with a Companion Volume 'Basic Real Analysis' by A

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