Vector Calculus

by Susan Jane Colley

<!--[if gte mso 9]> Normal 0 false false false <![endif]--> <!--[if gte mso 9]> <![endif]--> <!--[if gte mso 10]> <![endif]--> Vector Calculus, Fourth Edition , uses the language and notation of vectors and matrices to teach multivariable calculus. It is ideal for students with a solid background in single-variable calculus who are capable of thinking in more general terms about the topics in the course. This text is distinguished from others by its readable narrative, numerous figures, thoughtfully selected examples, and carefully crafted exercise sets. Colley includes not only basic and advanced exercises, but also mid-level exercises that form a necessary bridge between the two.

Genres: Mathematics, Textbooks, Reference

624 pages, Hardcover

First published July 17, 1997

Reviews

[Nick · Rating 3 out of 5]

This is adequate. The emphasis, as usual, is on proof of concepts rather than demonstration. I am only a little sorry to see my nights spent with Susan come to an end...

[Kaung Si Thu · Rating 5 out of 5]

For those who will be first introduced to multi-dimensions, this might be first confusing due to concise notations. But, I enjoyed my time reading this just for that reason. Fewer examples than your usual math textbooks, more about notations and nice graphs. I give this five stars because this book introduces u how some area of math should be written (in my opinion) especially in the last chapter: e.g. differential k-forms.

[Musfiqur Pavel · Rating 5 out of 5]

loved it!

[Mirzuis Alinus · Rating 5 out of 5]

Fantastic book
Explain everything in simple manner
But could use more tough problem
And another book for solution to problem

[Jake · Rating 5 out of 5]

I used this book as a supplement for the vector calculus textbook (Hughes Hallett) used at my school. The explanations are thorough and three times longer with diagrams that are much more illustrative. The theorems are more rigorous, requiring linear algebra, and I appreciated that. To other students in my class this book would likely be intimidating to them at my level but I found it much better allowing me to properly challenge myself and prepare myself for what my instructor would throw at me. The book, while challenging, is also straightforward. Hughes Hallett often wast much of the students time with the qualitative question of what is going on, without giving the student the tools to properly explore those questions. Colley's approach asks fewer qualitative questions but that is covered extensively in the copious examples. I plan on going further with this textbook than what was covered in our course. Highly recommended text on vector calculus.

[Adam Lantos · Rating 5 out of 5]

I can only compare it with Marsden and Tromba's book as I have little experience with other book on Vector Calculus of this type (although I have experience with books like Schey's "Div, Grad, Curl and All That"). The only thing I can say is this: It's insightful, clear, detailed, has nice explanations and gives nice discussions on the geometric nature of the material presented here. It has a lot of exercises and I found them to be much better than those found in the book by Marsden. It also contains proofs at the end of each chapters for those who want to learn the material in a rigorous way or for those who are just curious of how some results are obtained.
In conclusion, this is a great book!

[Kate Lane · Rating 4 out of 5]

Great textbook; proofs were clear and helpful, other discussions were insightful and engaging. Tons of exercises.

[Vishnuram Leonardodavinci · Rating 5 out of 5]

The book was wonderful and covers theory as well a broad range of applications from physics to economics. The problems were easy to compute to challenging.

It is a very good book for transition from vector calculus to higher mathematics.

[Brandon Meredith]

Everyone needs to pick up a Calculus book at some point, right?