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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Real Analysis: Measures, Integrals and Applications (Paperback, 2013 ed.)
Loot Price: R3,597
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Real Analysis: Measures, Integrals and Applications (Paperback, 2013 ed.)
Series: Universitext
Expected to ship within 10 - 15 working days
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Real Analysis: Measures, Integrals and Applications is devoted to
the basics of integration theory and its related topics. The main
emphasis is made on the properties of the Lebesgue integral and
various applications both classical and those rarely covered in
literature. This book provides a detailed introduction to Lebesgue
measure and integration as well as the classical results concerning
integrals of multivariable functions. It examines the concept of
the Hausdorff measure, the properties of the area on smooth and
Lipschitz surfaces, the divergence formula, and Laplace's method
for finding the asymptotic behavior of integrals. The general
theory is then applied to harmonic analysis, geometry, and
topology. Preliminaries are provided on probability theory,
including the study of the Rademacher functions as a sequence of
independent random variables. The book contains more than 600
examples and exercises. The reader who has mastered the first third
of the book will be able to study other areas of mathematics that
use integration, such as probability theory, statistics, functional
analysis, partial probability theory, statistics, functional
analysis, partial differential equations and others. Real Analysis:
Measures, Integrals and Applications is intended for advanced
undergraduate and graduate students in mathematics and physics. It
assumes that the reader is familiar with basic linear algebra and
differential calculus of functions of several variables.
General
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