By Avner Friedman

This rigorous two-part remedy advances from features of 1 variable to these of numerous variables. meant for college kids who've already accomplished a one-year direction in ordinary calculus, it defers the advent of features of numerous variables for so long as attainable, and provides readability and ease via heading off a mix of heuristic and rigorous arguments.
The first half explores features of 1 variable, together with numbers and sequences, non-stop services, differentiable services, integration, and sequences and sequence of features. the second one half examines services of a number of variables: the distance of a number of variables and non-stop features, differentiation, a number of integrals, and line and floor integrals, concluding with a range of similar subject matters. entire recommendations to the issues seem on the finish of the text.

Best calculus books

Quantum Variational Calculus (SpringerBriefs in Electrical and Computer Engineering)

This short places jointly subjects, quantum and variational calculi via contemplating variational difficulties concerning Hahn quantum operators. the most benefit of its effects is they may be able to care for nondifferentiable (even discontinuous) capabilities, that are vital in purposes. attainable purposes in economics are mentioned.

Introduction to Abstract Analysis (Dover Books on Mathematics)

Constructed from lectures introduced at NASA's Lewis learn heart, this concise textual content introduces scientists and engineers with backgrounds in utilized arithmetic to the thoughts of summary research. instead of getting ready readers for study within the box, this quantity bargains historical past valuable for analyzing the literature of natural arithmetic.

Calculus with Vectors (Springer Undergraduate Texts in Mathematics and Technology)

Calculus with Vectors grew out of a powerful want for a starting calculus textbook for undergraduates who intend to pursue careers in STEM fields. The process introduces vector-valued features from the beginning, emphasizing the connections among one-variable and multi-variable calculus. The textual content contains early vectors and early transcendentals and contains a rigorous yet casual method of vectors.

Rational Approximation of Real Functions (Encyclopedia of Mathematics and its Applications)

Initially released in 1987, this publication is dedicated to the approximation of genuine services by way of actual rational capabilities. those are, in lots of methods, a less demanding device than polynomials, and curiosity in them was once transforming into, specially on the grounds that D. Newman's paintings within the mid-sixties. The authors goal at proposing the elemental achievements of the topic and, for completeness, additionally talk about a few subject matters from advanced rational approximation.