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Science/Engineering Basic Real Analysis (repost)

Posted on 2010-03-16




Name:Science/Engineering Basic Real Analysis (repost)
ASIN/ISBN:0817632506
Language:English
File size:5 Mb
Publish Date: July 29, 2005
ISBN: 0817632506
Pages: 650 pages
File Type: PDF
File Size: 5 MB
Other Info: Birkhäuser Boston
   Science/Engineering Basic Real Analysis (repost)

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Basic Real Analysis

Cornerstones of Real Analysis systematically develops the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established. This work presents 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:

• Early chapters treat the fundamentals of real variables, the theory of Fourier series for the Riemann integral, and the theoretical underpinnings of multivariable calculus and differential equations

• Subsequent chapters develop measure theory, point-set topology, Fourier series for the Lebesgue integral, and the basics of Banach and Hilbert spaces

• Later chapters provide a higher-level view of the interaction between real analysis and algebra, including functional analysis, partial differential equations, and further topics in Fourier analysis

• Throughout the text are problems that develop and illuminate aspects of the theory of probability

• Includes many examples and hundreds of problems, and a chapter gives hints or complete solutions for most of the problems.

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