Free Ebook Advanced Calculus, by Gerald B. Folland
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Advanced Calculus, by Gerald B. Folland
Free Ebook Advanced Calculus, by Gerald B. Folland
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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.
- Sales Rank: #89081 in Books
- Brand: Brand: Pearson
- Published on: 2001-12-31
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x 1.02" w x 7.01" l, 1.65 pounds
- Binding: Paperback
- 480 pages
- Used Book in Good Condition
From the Back Cover
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.
Most helpful customer reviews
15 of 16 people found the following review helpful.
I'm sorry Dr. Folland
By Erwin Rommel
1stly, I respect Dr. Folland as a mathematician and he writes a good real analysis textbook. But I'm sorry, Folland fails miserably on writing a 1st year / 2nd year undergraduate textbook.
I 1st encountered multivariable calculus from this book. When I was learning the materials, I found the book neither rigorous nor intuitive. Its readability is extremely low. Its problem comes from its confusion and poor clarity, which is worse than the mathematical maturity requirements.
I would say this is by far the "most difficult" book I have ever read. (For professors considering assigning this book to students: DONT DO IT. I found it a LOT harder to learn from than Spivak's Calculus on Manifolds, Munkre's Analysis on Manifolds. I'm also ok comfortable with big Rudin, but Folland gave me the hardest time in terms of picking up stuffs) Folland presents a little bit of rigorous stuffs here, but only a little. For students who lack the motivation to work hard, they dont know what Folland is doing. For students who smell the incompleteness, it would be such a real pain to supply the proofs and try to develope more complete theories.
As for intuitions, it is very poor too. Vector Calculus by John Hubbard is a great book for intuition (also its approach and rigor). As for problems, Shiffrin's Multivariable Mathematics is much better. In addition, there are free pdfs
Differential Forms: A Geometric Approach, by David Bachman
Manifolds and Differential Forms, by Reyer Sjamaar
That look more advanced but easier to learn from.
3 of 3 people found the following review helpful.
Italian student
By A. Daniela
I can not understand the criticism of the text of Folland. I found it valuable
for clarity and precision of the developed concepts and language used .
It is a clear and concise , with pedagogically very conscious choice of topics which allows a very fast access to more challenging texts of Real Analysis.I highly recommend the text for those who want to progress quickly and safely
in Advanced Calculus(Real Analysis).
5 of 6 people found the following review helpful.
Terrible Book
By Luke B. Rawlings
This book is terrible. It is poorly written. You need some other book to accompany it to get a more complete and fair treatment of multivariable calculus. Chapters 1 and 2 are pretty good, but then the rest of the book is not sufficient. Perhaps the one good thing to say about it is that it had me doing research, corrections, and rewriting on my own. I probably learned more than I would have with some better text. However, the stress and time spent on certain topics could have surely been avoided.
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