Clear, accessible text for a 1st course in abstract analysis, suitable for undergraduates with a good background in the calculus of functions of 1 and several variables. Sets and relations, real number system and linear spaces, normed spaces, normed linear spaces, Lebesque integral, approximation the... read more
Customers who bought this book also bought:
Our Editors also recommend:
Introductory Real Analysis by A. N. Kolmogorov, S. V. Fomin, Richard A. Silverman Comprehensive, elementary introduction to real and functional analysis covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, more. 1970 edition.
Elements of Real Analysis by David A. Sprecher Classic text explores intermediate steps between basics of calculus and ultimate stage of mathematics — abstraction and generalization. Covers fundamental concepts, real number system, point sets, functions of a real variable, Fourier series, more. Over 500 exercises.
Counterexamples in Analysis by Bernard R. Gelbaum, John M. H. Olmsted These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.
Real-Variable Methods in Harmonic Analysis by Alberto Torchinsky This text starts with Fourier series, summability, norm convergence, and conjugate function. Additional topics include Hilbert transform, Paley theory, Cauchy integrals on Lipschitz curves, and boundary value problems. 1986 edition.
An Introduction to Orthogonal Polynomials by Theodore S Chihara Concise introduction covers general elementary theory, including the representation theorem and distribution functions, continued fractions and chain sequences, the recurrence formula, special functions, and some specific systems. 1978 edition.
The Laplace Transform by David V. Widder This volume focuses on the Laplace and Stieltjes transforms, offering a highly theoretical treatment. Topics include fundamental formulas, the moment problem, monotonic functions, and Tauberian theorems. 1941 edition.
Complex Analysis in Banach Spaces by Jorge Mujica 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. 1986 edition.
Sets, Sequences and Mappings: The Basic Concepts of Analysis by Kenneth Anderson, Dick Wick Hall This text bridges the gap between beginning and advanced calculus. It offers a systematic development of the real number system and careful treatment of mappings, sequences, limits, continuity, and metric spaces. 1963 edition.
Real Variables with Basic Metric Space Topology by Robert B. Ash Designed for a first course in real variables, this text encourages intuitive thinking and features detailed solutions to problems. Topics include complex variables, measure theory, differential equations, functional analysis, probability. 1993 edition.
Clear, accessible text for a 1st course in abstract analysis, suitable for undergraduates with a good background in the calculus of functions of 1 and several variables. Sets and relations, real number system and linear spaces, normed spaces, normed linear spaces, Lebesque integral, approximation theory, Banach fixed-point theorem, Stieltjes integrals, more. Includes problems.
This book was printed in the United States of America.
Dover books are made to last a lifetime. Our US book-manufacturing partners produce the highest quality books in the world and they create jobs for our fellow citizens. Manufacturing in the United States also ensures that our books are printed in an environmentally friendly fashion, on paper sourced from responsibly managed forests.