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Basic real analysis : along with a companion volume Advanced real analysis by Anthony W. Knapp is a nonfiction available to read on EtoBox.

What is Basic real analysis : along with a companion volume Advanced real analysis about?

Basic 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 Advanced 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 Basic Real Analysis: * Early chapters treat the fundamentals of real variables, sequences and series of functions, the theory of Fourier series for the Riemann integral, metric spaces, and the theoretical underpinnings of multivariable calculus and differential equations * Subsequent chapters develop the Lebesgue theory in Euclidean and abstract spaces, Fourier series and the Fourier transform for the Lebesgue integral, point-set topology, measure theory in locally compact Hausdorff spaces, and the basics of Hilbert and Banach spaces * The subjects of Fourier series and harmonic functions are used as recurring motivation for a number of theoretical developments * The development proceeds from the

Who reads Basic real analysis : along with a companion volume Advanced real analysis?

Author

Anthony W. Knapp

Publisher

Birkhäuser Boston

Published

2016

Language

EN

ISBN

9780817644079

Category

nonfiction

Subjects

Mathematics, Computer Science, Stem