# 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:**1961

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:**5982

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:**7425

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:**1390

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.

## Lectures on Measure and Integration

**Author**: Harold Widom**Publisher:**Courier Dover Publications**ISBN:**0486810283**Category:**Mathematics**Page:**176**View:**7080

These well-known and concise lecture notes present the fundamentals of the Lebesgue theory of integration and an introduction to some of the theory's applications. Suitable for advanced undergraduates and graduate students of mathematics, the treatment also covers topics of interest to practicing analysts. Author Harold Widom emphasizes the construction and properties of measures in general and Lebesgue measure in particular as well as the definition of the integral and its main properties. The notes contain chapters on the Lebesgue spaces and their duals, differentiation of measures in Euclidean space, and the application of integration theory to Fourier series.

## Galoissche Theorie

**Author**: Emil Artin**Publisher:**N.A**ISBN:**N.A**Category:**Galois theory**Page:**86**View:**1067

## An Introduction to Analysis and Integration Theory

**Author**: Esther R. Phillips**Publisher:**N.A**ISBN:**N.A**Category:**Mathematics**Page:**452**View:**8872

## 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:**2625

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.

## Theory of Functions of a Real Variable

**Author**: I.P. Natanson**Publisher:**Courier Dover Publications**ISBN:**048680643X**Category:**Mathematics**Page:**560**View:**2171

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.

## Vorlesungen über die Theorie der Integralgleichungen

**Author**: Ivan Georgievich Petrovskiĭ**Publisher:**N.A**ISBN:**N.A**Category:**Integral equations**Page:**100**View:**6557

## Lectures on Integral Equations

**Author**: Harold Widom**Publisher:**Courier Dover Publications**ISBN:**0486817822**Category:**Mathematics**Page:**144**View:**8451

Concise classic presents main results of integral equation theory as consequences of theory of operators on Banach and Hilbert spaces. Also, applications to second order linear differential equations and Fourier integral techniques. 1969 edition.

## Functional Analysis

**Author**: Frigyes Riesz,Béla Sz.-Nagy**Publisher:**Courier Corporation**ISBN:**0486162141**Category:**Mathematics**Page:**528**View:**3833

DIVClassic exposition of modern theories of differentiation and integration and principal problems and methods of handling integral equations and linear functionals and transformations. 1955 edition. /div

## Complex Analysis in Banach Spaces

**Author**: Jorge Mujica**Publisher:**Courier Corporation**ISBN:**0486474666**Category:**Mathematics**Page:**440**View:**683

The development of complex analysis is based on issues related to holomorphic continuation and holomorphic approximation. This volume presents a unified view of these topics in finite and infinite dimensions. A high-level tutorial in pure and applied mathematics, its prerequisites include a familiarity with the basic properties of holomorphic functions, the principles of Banach and Hilbert spaces, and the theory of Lebesgue integration. The four-part treatment begins with an overview of the basic properties of holomorphic mappings and holomorphic domains in Banach spaces. The second section explores differentiable mappings, differentiable forms, and polynomially convex compact sets, in which the results are applied to the study of Banach and Fréchet algebras. Subsequent sections examine plurisubharmonic functions and pseudoconvex domains in Banach spaces, along with Riemann domains and envelopes of holomorphy. In addition to its value as a text for advanced graduate students of mathematics, this volume also functions as a reference for researchers and professionals.

## Foundations of Mathematical Analysis

**Author**: Richard Johnsonbaugh,W.E. Pfaffenberger**Publisher:**Courier Corporation**ISBN:**0486134776**Category:**Mathematics**Page:**448**View:**338

Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.

## Real Analysis

**Author**: Gabriel Klambauer**Publisher:**Courier Corporation**ISBN:**0486445240**Category:**Mathematics**Page:**448**View:**2771

This text for graduate students introduces contemporary real analysis with a particular emphasis on integration theory. Explores the Lebesgue theory of measure and integration of real functions; abstract measure and integration theory as well as topological and metric spaces. Additional topics include Stone's formulation of Daniell integration and normed linear spaces. Includes exercises. 1973 edition. Index.

## Partial Differential Equations of Mathematical Physics

**Author**: S. L. Sobolev**Publisher:**Courier Corporation**ISBN:**9780486659640**Category:**Science**Page:**427**View:**2861

This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.

## Integration, Measure and Probability

**Author**: H. R. Pitt,Mathematics**Publisher:**Courier Corporation**ISBN:**0486488152**Category:**Mathematics**Page:**110**View:**9892

Introductory treatment develops the theory of integration in a general context, making it applicable to other branches of analysis. More specialized topics include convergence theorems and random sequences and functions. 1963 edition.

## Differentialgeometrie von Kurven und Flächen

**Author**: Manfredo P. do Carmo**Publisher:**Springer-Verlag**ISBN:**3322850722**Category:**Technology & Engineering**Page:**263**View:**445

Inhalt: Kurven - Reguläre Flächen - Die Geometrie der Gauß-Abbildung - Die innere Geometrie von Flächen - Anhang

## Foundations of Modern Analysis

**Author**: Avner Friedman**Publisher:**Courier Corporation**ISBN:**9780486640624**Category:**Mathematics**Page:**250**View:**5535

Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.