Basic Real Analysis - KNAPP, ANTHONY W.

Basic Real Analysis

ANTHONY W. KNAPP

Yayınevi: Birkhauser

Yayın tarihi: 08/2005

ISBN: 9780817632502

Ciltli | İngilizce | 650 Sayfa | 147 mm x 236 mm

Tür: Matematik-İstatistik

  • Temin Süresi 49 - 56 iş günü

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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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