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, topology of the real line, and standard calculus and sequences of functions. Only high school mathematics needed. 1979 edition. Unabridged republication of the edition published by The MIT Press, Cambridge, MA, 1979.
Essential Calculus with Applications by Richard A. Silverman Clear undergraduate-level introduction to background math, differential calculus, differentiation, integral calculus, integration, functions of several variables, more. Numerous problems, with new "Hints and Answers" section.
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.
A Course in Advanced Calculus by Robert S. Borden An excellent undergraduate text examines sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, more. Problems with tips and solutions for some.
The Malliavin Calculus by Denis R. Bell This introductory text presents detailed accounts of the different forms of the theory developed by Stroock and Bismut, discussions of the relationship between these 2 approaches, and a variety of applications. 1987 edition.
The Umbral Calculus by Steven Roman This introductory text explores Sheffer sequences and operators and their adjoints, the connection constants problem and duplication formulas, the Lagrange inversion formula, operational formulas, inverse relations, and binomial convolution. 1984 edition.
