# Search Results for "lebesgue-integration-dover-books-on-mathematics"

## Lebesgue Integration

**Author**: J.H. Williamson**Publisher:**Courier Corporation**ISBN:**0486789772**Category:**Mathematics**Page:**128**View:**1638

This concise introduction to Lebesgue integration is geared toward advanced undergraduate math majors and may be read by any student possessing some familiarity with real variable theory and elementary calculus. The self-contained treatment features exercises at the end of each chapter that range from simple to difficult. The approach begins with sets and functions and advances to Lebesgue measure, including considerations of measurable sets, sets of measure zero, and Borel sets and nonmeasurable sets. A two-part exploration of the integral covers measurable functions, convergence theorems, convergence in mean, Fourier theory, and other topics. A chapter on calculus examines change of variables, differentiation of integrals, and integration of derivatives and by parts. The text concludes with a consideration of more general measures, including absolute continuity and convolution products. Dover (2014) republication of the edition originally published by Holt, Rinehart & Winston, New York, 1962. See every Dover book in print at www.doverpublications.com

## An Introduction to Lebesgue Integration and Fourier Series

**Author**: Howard J. Wilcox,David L. Myers**Publisher:**Courier Corporation**ISBN:**0486137473**Category:**Mathematics**Page:**159**View:**2266

Undergraduate-level introduction to Riemann integral, measurable sets, measurable functions, Lebesgue integral, other topics. Numerous examples and exercises.

## Lebesgue Integration and Measure

**Author**: Alan J. Weir**Publisher:**Cambridge University Press**ISBN:**9780521097512**Category:**Mathematics**Page:**281**View:**569

A textbook for the undergraduate who is meeting the Lebesgue integral for the first time, relating it to the calculus and exploring its properties before deducing the consequent notions of measurable functions and measure.

## Integral, Measure and Derivative

*A Unified Approach*

**Author**: G. E. Shilov,B. L. Gurevich**Publisher:**Courier Corporation**ISBN:**0486165612**Category:**Mathematics**Page:**256**View:**4820

This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.

## Elements of the Theory of Functions and Functional Analysis

**Author**: Andre? Nikolaevich Kolmogorov,Serge? Vasil?evich Fomin,S. V. Fomin**Publisher:**Courier Corporation**ISBN:**9780486406831**Category:**Mathematics**Page:**288**View:**2800

Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition.

## Lectures on Measure and Integration

**Author**: Harold Widom**Publisher:**Courier Dover Publications**ISBN:**0486816591**Category:**Mathematics**Page:**176**View:**1433

Well-known, concise lecture notes present fundamentals of the Lebesgue theory of integration and introduce some applications. Topics include measures, integration, theorems of Fubini, representations of measures, Lebesgue spaces, differentiation, Fourier series. 1969 edition.

## Theory of Functions of a Real Variable

**Author**: I.P. Natanson**Publisher:**Courier Dover Publications**ISBN:**048680643X**Category:**Mathematics**Page:**560**View:**1133

Long out-of-print volume by a prominent Soviet mathematician presents a thorough examination of the theory of functions of a real variable. Intended for advanced undergraduates and graduate students of mathematics. 1955 and 1960 editions.

## Modern Theories of Integration

**Author**: Hyman Kestelman**Publisher:**N.A**ISBN:**N.A**Category:**Integrals, Generalized**Page:**308**View:**9979

## An Introduction to Analysis and Integration Theory

**Author**: Esther R. Phillips**Publisher:**N.A**ISBN:**N.A**Category:**Mathematics**Page:**452**View:**7243

## General Theory of Functions and Integration

**Author**: Angus Ellis Taylor**Publisher:**Courier Corporation**ISBN:**0486649881**Category:**Mathematics**Page:**437**View:**4346

Uniting a variety of approaches to the study of integration, a well-known professor presents a single-volume "blend of the particular and the general, of the concrete and the abstract." 1966 edition.