This excellent undergraduate calculus text offers students an unusual perspective on concepts of integration in Euclidean spaces and their relationship to other mathematical areas. Subjects include sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, and more. Preface. Problems. Problems with tips and solutions for some.
Here's a sample of other books in this Dover category
Advanced Calculus: Second Edition by David V. Widder Classic text offers exceptionally precise coverage of partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Includes exercises and selected answers.
Introduction to the Calculus of Variations by Hans Sagan Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition.
Advanced Calculus of Several Variables by C. H. Edwards, Jr. Modern conceptual treatment of multivariable calculus, emphasizing interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. Over 400 well-chosen problems. 1973 edition.
Infinitesimal Calculus by James M. Henle, Eugene M. Kleinberg Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, more. 1979 edition.
Methods of Numerical Integration: Second Edition by Philip J. Davis, Philip Rabinowitz Requiring only a background in calculus, this text covers approximate integration over finite and infinite intervals, error analysis, approximate integration in two or more dimensions, and automatic integration. 1984 edition.
Advanced Calculus by Avner Friedman Intended for students who have already completed a one-year course in elementary calculus, this two-part treatment advances from functions of one variable to those of several variables. Solutions. 1971 edition.
Advanced Calculus: An Introduction to Classical Analysis by Louis Brand A course in analysis that focuses on the functions of a real variable, this text introduces the basic concepts in their simplest setting and illustrates its teachings with numerous examples, theorems, and proofs. 1955 edition.
