." . .well written and authoritative." ---Choice "The style is characterized by its clarity and concreteness. . . . this work constitutes an excellent introductory textbook for those who wish to get acquainted with the modern methods of real variables." ---Mathematical ReviewsFrom the Publisher:
This volume develops the classical theory of the Lebesgue integral and some of its applications. The integral is initially presented in the context of n-dimensional Euclidean space, following a thorough study of the concepts of outer measure and measure. A more general treatment of the integral, based on an axiomatic approach, is later given.
Closely related topics in real variables, such as functions of bounded variation, the Riemann-Stieltjes integral, Fubini's theorem, L(p)) classes, and various results about differentiation are examined in detail. Several applications of the theory to a specific branch of analysis--harmonic analysis--are also provided. Among these applications are basic facts about convolution operators and Fourier series, including results for the conjugate function and the Hardy-Littlewood maximal function.
Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis for student interested in mathematics, statistics, or probability. Requiring only a basic familiarity with advanced calculus, this volume is an excellent textbook for advanced undergraduate or first-year graduate student in these areas.
"Sobre este título" puede pertenecer a otra edición de este libro.
Descripción CRC Press, 1977. Hardcover. Estado de conservación: New. 1. Nº de ref. de la librería DADAX0824764994
Descripción CRC Press, 1977. Estado de conservación: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: . . Preliminaries Points and Sets in Rn Rn as a Metric Space Open and Closed Sets in Rn: Special Sets Compact Sets; The Heine-Borel Theorem Functions Continuous Functions and Transformations The Riemann Integral Exercises Function of Bounded Variation; The Riemann-Stieltjes Integral Functions of Bounded Variation Rectifiable Curves The Reiman-Stieltjes Integral Further Results About the Reimann-Stieltjes Integrals Exercises Lebesgue Measure and Outer Measure Lebesgue Outer Measures; Nº de ref. de la librería ABE_book_new_0824764994
Descripción CRC Press, 1977. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0824764994
Descripción CRC Press, 1977. Hardcover. Estado de conservación: New. Nº de ref. de la librería P110824764994