EAN: 9781447151210

UNIVERSITEXT REAL ANALYSIS MEASURES INTEGRALS...

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.

Aktuelle Preise zur EAN 9781447151210

Produktinformationen zur 9781447151210