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.

Download PDF (VIP members)

Spread the love. Thanks for Sharing!

Description

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.

Year: 2000
Language: english
Pages: 670
ISBN 10: 0817644415
ISBN 13: 9780817632502
File Type:

Additional information

Author

, ,

Reviews

There are no reviews yet.

Be the first to review “Basic real analysis”

Your email address will not be published. Required fields are marked *