Advanced Calculus

by Gerald B. Folland

This book presents a unified view of calculus in which theory and practice reinforces each other. It is about the theory and applications of derivatives (mostly partial), integrals, (mostly multiple or improper), and infinite series (mostly of functions rather than of numbers), at a deeper level than is found in the standard calculus books. Chapter topics cover: Setting the Stage, Differential Calculus, The Implicit Function Theorem and Its Applications, Integral Calculus, Line and Surface Integrals—Vector Analysis, Infinite Series, Functions Defined by Series and Integrals, and Fourier Series. For individuals with a sound knowledge of the mechanics of one-variable calculus and an acquaintance with linear algebra.

Genres: Textbooks, Mathematics

592 pages, Hardcover

First published January 1, 2001

Reviews

[Peter Poole]

Functional at what it does, but not fantastic. Focuses too much on the Euclidean spaces.

A mediocre book in a sea of terrible books.

[Sezin Mutlu]

sakın dokunmayın havlarım. studied ch 4,5,6,7 in 2024 first half.

[William Easton]

8.6/10 Great textbook. Covers a good variety of subjects clearly and in an effective educational style. Some of the writing decisions are a little questionable (why does section 2.5 exist?), and the advanced sections (on Lebesgue's theory and differential forms) were great, but necessarily a bit unsatisfying. Overall, very fit for purpose.

[Dallas]

excellent

[Abbey]

very compact. would have been better with more examples.