Div, Grad, Curl, and All That: An Informal Text on Vector Calculus (Fourth Edition) 4th Edition

by H. M. Schey (Author)

71 customer reviews

ISBN-13: 978-0393925166

ISBN-10: 0393925161

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This new fourth edition of the acclaimed and bestselling Div, Grad, Curl, and All That has been carefully revised and now includes updated notations and seven new example exercises.

Since the publication of the First Edition over thirty years ago, Div, Grad, Curl, and All That has been widely renowned for its clear and concise coverage of vector calculus, helping science and engineering students gain a thorough understanding of gradient, curl, and Laplacian operators without required knowledge of advanced mathematics.

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Editorial Reviews

About the Author

H. M. Schey is Professor of Mathematics and Statistics at the Rochester Institute of Technology.

Paperback: 176 pages
Publisher: W. W. Norton & Company; 4th edition (December 1, 2004)
Language: English
ISBN-10: 0393925161
ISBN-13: 978-0393925166
Product Dimensions: 6.1 x 0.6 x 9.3 inches
Shipping Weight: 1.6 ounces (View shipping rates and policies)
Average Customer Review: 71 customer reviews
Amazon Best Sellers Rank: #80,262 in Books (See Top 100 in Books)
- #4 in Books > Science & Math > Mathematics > Applied > Vector Analysis
- #66 in Books > Textbooks > Science & Mathematics > Mathematics > Calculus
- #99 in Books > Science & Math > Mathematics > Pure Mathematics > Calculus

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Ssound

Good material, but fails to make things clear

September 13, 2013

Format: PaperbackVerified Purchase

The title of the book "an informal text on vector calculus" makes you believe that somehow you are going to understand what vector calculus is all about, maybe an instructor didnt explain everything to you in a way that "got into you" and you hope this book will do just that in a less rigourous way.

I am an engineering student and I already took an electromagnetic theory course at school and I thought this book would clear some concepts on vector calculus. However it did just the opposite, it over complicated what I already knew.

The book is very strange in a way that some times the author tries to excesively dumb down his explanations for you, and other times he will go to the other extreme making no sense to the reader, flashing equations out of the blue, giving no explanations as to how he got certain results, etc... For example he will start by giving a very easy going explanation, something any reader could follow, he will continue his explanation by solving an example, but at somepoint during the development of his example it seems that he forgot all about the reader and got carried away doing his own thing. At times I have to stare at a single page for minutes trying to figure out the 5 or 6 steps he skipped.

On the foreword the author tells you what you need to know in order to understand his book, concluding with "an hours time with any reasonable text on the subject should provide you with anything you need to know to follow this text". I strongly disagree with the previous statement, you need a solid background in multivariable calculus and electromagnetism, in fact you need a solid background in vector calculus which is the subject you are trying to learn with this book in the first place!

In my opinion if you are trying to learn vector calculus for an electromagnetics course, you are much better off dumping this book and reading Dan Fleisch's "A students guide to Maxwell equations" which covers vector calculus applied to electromagnetics in such a beautiful way. However if your goal is to learn vector calculus for a different subject, I would say that given the amount of previous knowledge on multivariable, vector calculus and electromagnetism you need to know in order to read this book, you are much better with a standard vector calculus book.

As one of the reviewers wrote, this book can make a lot of sense reading it back after years of study, but if you are still not a master on the field, then it will just make things worse, like it did it to me...

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John F.

Excellent Review of Vector Calculus

May 20, 2011

Format: PaperbackVerified Purchase

This book covers some of the most fundamental topics of vector calculus in a very clear manner. The presentation is lucid, the exercises are thought provoking, and the proofs are a good mix between intuitive and rigorous. I mainly bought this book because I wanted to "redeem" myself and obtain a better understanding of multivariable calculus after taking the course last semester, especially with surface integrals, Stokes Theorem, and the Divergence Theorem. I need to stress that this is best used as a refresher of vector calculus (if you had a good prof), or an avenue for deeper understanding (if you had a bad prof, like me). It is not supposed to be an outright introduction. In fact the authors warn us that:

"To begin with, you should, of course, be fluent in elementary calculus. Beyond that you should know how to work with functions of several variables, partial derivatives, and multiple (double and triple) integrals. Finally you must know something about vectors."

So, you need to know a little bit about multivariable calculus to be successful with self-studying this book. Oh, and this edition, I've heard, is a major change from the first edition in terms of notation, but not a whole lot different from the third and fourth editions, so save some money and get this one. You won't regret it.

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B. Janarthan

Intuitive explanation to vector calculus, but it is not ...

June 12, 2017

Format: PaperbackVerified Purchase

Intuitive explanation to vector calculus, but it is not for explaining electrostatics. Also, it should be read with another vector calculus book.

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Richard A. Davidson

The hard part of the Engineering Electromagnetics course, explained.

October 3, 2017

Format: PaperbackVerified Purchase

Very hard concepts when I took Engineering Electromagnetics in college. Now I actually understand divergence, gradient, and curl vectors.

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Lance C. Hibbeler

Wonderful

June 10, 2009

Format: PaperbackVerified Purchase

This is a wonderful overview of vector calculus, presented in a very easy-to-read, sometimes humorous manner. I can't speak for other disciplines, but as a mechanical engineer I found this book to be amazingly easy to understand and a very helpful review of vector calculus. My multivariate calculus professor was an outer space theoretical mathematician who couldn't explain physically what "flux" is, let alone the higher concepts of divergence, gradient, and curl, so working my way through this book made a lot of fundamental concepts click for me.

Schey takes his time explaining all the concepts of vector calculus, in the context of Maxwell's equations, without the formality/rigorousness in "proper" math texts- even the definitions and proofs of the main theorems are explained from a physical standpoint. Indeed, Schey remarks that "rigorous" is just a synonym for "useless". The emphasis is on learning the concepts intuitively and physically, rather than just memorizing formulas. I think this would be a wonderful supplement (for engineers) to a traditional calculus course- but not really that great for learning the material for the first time. I very highly recommend this book as a refresher, especially if you are a graduate student and you are just expected to know everything about vector calculus like the back of your hand.

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Amazon Customer

Five Stars

January 8, 2018

Format: PaperbackVerified Purchase

excellent quality.

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Mac

Perfect Refresher book for EE students taking Electromagnetics courses

July 26, 2015

Format: PaperbackVerified Purchase

Great book for my Electromagnetic Fields course. This book goes into great detail to ensure the reader fully grasps the materials presented using great examples from Electrostatics.

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Most recent customer reviews

furrypony

Should be renamed as "grad, curl, div, and all that"

The only problem is that it should be renamed "div, curl, grad, and all that", or "grad, curl, div, and all that".Read more

Published 8 months ago

Amazon Customer

Schey's book has a very awkward beginning. Instead of ...

Schey's book has a very awkward beginning. Instead of taking the normal, sensible, incremental approach - by exposing readers to the gradient vector function first, followed...Read more

Published 1 year ago

Amazon Customer

Three Stars

Clear explanations, but it felt too mechanical. There too many particular examples and not enough illuminating theory.

Published 1 year ago

Wesley H Jones

Five Stars

Exactly what I was looking for

Published 1 year ago

Marc B.

You must buy this book

Mathematics was my undergraduate major. I was used to reading very dry boring math books that one struggle to read each page. This is not one of those books.Read more

Published 1 year ago

Kyle

and I feel like I understand it more thoroughly than some of my ...

Amazingly clear and simple guide to vector calculus. I've never taken a course in it, and I feel like I understand it more thoroughly than some of my peers who have.

Published 1 year ago

Mr Hobo

One Star

not too sure why this book exists.

Published on March 7, 2016

Justin Smith

Five Stars

A good refresher of vector calculus.

Published on December 27, 2015

Roy Kenneth Taylor

Five Stars

Great reference material for those of us who sorta kinda paid attention to vector calc

Published on December 21, 2015

amazonmark

Best Book on Vector Calculus I have Seen

This book is a real gem: intuitive, geometric, clear. Path independence is demonstrated as a consequence of " central forces " such as the force represented by Coulombs...Read more

Published on October 15, 2015

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