Folland, Gerald B.'s Advanced Calculus 1st (first) edition by Folland, Gerald B. published by Prentice Hall [Paperback]

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 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: Mathematics, Textbooks

Paperback

First published January 1, 2001

Reviews

[Peter Poole · Rating 3 out of 5]

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 · Rating 4 out of 5]

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

[William Easton · Rating 5 out of 5]

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 · Rating 5 out of 5]

excellent

[Abbey · Rating 3 out of 5]

very compact. would have been better with more examples.