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Thanks for telling us about the problem. Return to Book Page. 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. Get A Copy. Paperback , pages. Published January 1st by W. More Details Original Title.
Other Editions 3. Friend Reviews. To see what your friends thought of this book, please sign up. Abhiram Devesh Archive. Hope this helps …more Archive. Hope this helps less. Lists with This Book. Community Reviews. Showing Average rating 4. Rating details. More filters. Sort order. Apr 27, Dmitri rated it it was amazing Recommends it for: anyone with a bit of calc and a desire to know the mind of Dog.
Shelves: blew-my-socks-off. This math book is incredibly fun to read: clear, clever, and, believe it or not, gripping. It makes me wonder why people bother searching for enlightenment in ancient tomes.
All one needs is a semester of calc, and this book. Jun 25, Guillaume Koenig rated it it was amazing. Div grad curl was an incredible experience to me. The author builds the way up from geometric considerations to eventually deriving the div, grad, curl and laplacian operators of vector calculus hence the title.
A decent understanding of trigonometry and single variable calculus are mandatory prerequisites. Multi variable calculus would be helpful too, I found to be able to compensate using a search engine. The book also shows the concepts applied to electromagnetism for which vector calculus was originally developed. Exercises at the end of each chapter are a must. Almost always they make you go back to the text of the chapter for a second read.
They really help for the concepts to sink in. I also found my understanding of calculus to improve as a result of doing them. Exercises are more difficult as chapters progress. Most have the result of calculation at the back for verification, but not how it was derived.
Some exercises in the last chapter assumes knowledge of physics I don't have so I skipped those. Don't miss out on IV though : it shows how to derive the wave equation from Maxwell's equations and from there how Maxwell made the link between light and electromagnetism. If you're interested by the historical context around Maxwell's equations, there is episode 10 of the TV series "Cosmos" by Neil deGrasse Tyson rest of the show is pretty cool too , and chapter 11 of "17 Equations That Changed The World" by Ian Stewart other chapters pretty cool too, with 8 on the wave equation as known before discovered in electromagnetism.
Jun 16, Adam Lantos rated it really liked it. This book is all about intuition rather than rigor. Pros: 1 Intuition: Non-rigorous derivations that are so intuitive that it will be easy for everyone to reproduce them and actually really understand the basic ideas behind them. Cons: 1 Not enough examples: Although the author has justified the existence of the 4th edition largely due to the ins This book is all about intuition rather than rigor.
Cons: 1 Not enough examples: Although the author has justified the existence of the 4th edition largely due to the insertion of more examples, I still think that they are not enough. And the reason is that most of them are trivial. At many occasions I have found that non-trivial exercises give small details that can largely enforce one's intuition and understanding.
These kind of examples are simply not here. Maybe they are left as exercises, but it wouldn't hurt if some where examples. A lot of meaningful things could be added as there are a lot of topics that beg for this kind of basic yet highly intuitive and pictorial exposition.
As a second point, I will say that applications to other subjects would have been a pleasant and welcome change from the many applications to electromagnetism. Conclusion: I give it a 4-star rating because while it has many very good points that differentiate it from other books on Vector Calculus, it also has some restrictions.
These restrictions are just enough to justify a 4-star rating, although I would gladly give it an easy 5-star rating if it had just a bit more examples. May 28, Aneece rated it really liked it Shelves: math. Ideal for the physics student who wants to develop their intuition for the basic theorems of vector calculus. A proof may reassure you that a theorem is true, but give you no insight into how it was discovered.
I've read that mathematicians prefer proofs, physicists derivations. This book satisfies the desire for derivation and motivation over rigor. Jul 07, Frank rated it it was amazing Shelves: sciences-and-math. I really dig it.
I recommend the Physics undergrad read this the summer before their first year of university studies. It will prepare you well for. Aug 29, Morgan rated it it was amazing. This was a great overview of vector calculus, as well as an interesting investigation into how to find the electric field. It's well written, at times funny, and easy to follow. Jan 25, Nicholas Martinez rated it it was amazing. I recommend this book as a review of vector calculus rather than an introduction. I picked it up because I felt this material was skimmed over in a multivariable calculus course, and I was glad to find a brief yet thorough guide.
The author relies on the reader to already grasp the mathematics, but he prefers application to formalism. Many of the explanations begin with an application and what the concept of interest means in that context; in fact, the whole book is sort of a story of how mathem I recommend this book as a review of vector calculus rather than an introduction.
Many of the explanations begin with an application and what the concept of interest means in that context; in fact, the whole book is sort of a story of how mathematicians learned to calculate electromagnetic field magnitudes, because measuring it directly was impractical. As a student new to the subject, I was suggestible to Schey's implications throughout the text that it may not be possible, only to have him report the simple, elegant solution.
There are many practice problems available, but I was not really committed to attempting these problems. Perhaps they would have elevated my understanding. However, I am fresh out of multivariable calculus, so I have already had some practice with these types of problems.
I had mainly wanted some conceptual depth when I started reading. Overall, it packs a punch for its brevity and price. Highly recommended, especially for students. Oct 13, Ariful Islam rated it it was amazing Shelves: mathematics , physics. A short and concise book for getting intuition on vector calculus as a tool for physics. It starts out by explicitly setting a goal to find the electric field due to any distribution of charges, and then it approaches the goal step by step, introducing the concepts of vector calculus to overcome the obstacles one by one, in a very logical progression.
Along the way you also learn theorems that are not so closely tied to the goal. So overall its an intuitive first introduction to the subject that A short and concise book for getting intuition on vector calculus as a tool for physics.
So overall its an intuitive first introduction to the subject that requires elementary calculus as the only prerequisite. Highly recommended for a first time exposure to the subject. May 29, Lucy Low rated it it was amazing. Feb 04, Ashleyanstaett rated it it was amazing. I didn't discover it until the end of my course in vector calculus, and I wish I had used it as a companion piece for the course. It's also nice to get a glimpse of the utility of these important theorems.
DIV, Grad, Curl, and All That: An Informal Text on Vector Calculus
Goodreads helps you keep track of books you want to read. Want to Read saving…. Want to Read Currently Reading Read. Other editions.
Div, Grad, Curl, and All That : An Informal Text on Vector Calculus
Div, Grad, Curl, and All That: An Informal Text on Vector Calculus / Edition 4