Div, Grad, Curl And All That – An Informal Text on Vector Calculus 3rd ed – H. Schey (Norton, ) , Oct , K. Div, Grad, Curl And All . Page 1. div grad an curl informal and on text. Vector all calculus that third edition. h. m. schey. Page 2. Page 3. Page 4. Page 5. Page 6. Page 7. Page 8. Page 9. Div, grad, curl, and all that: an informal text on vector calculus / H.M. Schey Schey, Harry M. (Harry Moritz), · View online · Borrow · Buy.
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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.
Paperbackpages. Published January 1st by W. Div, Grad, Curl, and All That: To see what your friends thought of this book, please sign up. Lists with This Book. Apr 27, Dmitri rated it it was amazing Recommends it for: This math book is incredibly fun to read: 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.
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Div grad curl was an incredible experience to me. Brad 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 diiv, but not how it was derived. Some exercises in grwd last chapter assumes knowledge of physics I don’t have so I skipped those. Don’t culr out on IV though: 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 tooand 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. 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.
A lot of figures mean that you better understand what the author says. 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. 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 cur, are left as exercises, but it wouldn’t hurt if some where examples. While the small size makes for a curll and easy read, it certainly would not hurt if the next edition was bumped up to pages. A lot of meaningful things could be added as dv are a lot of topics that beg for this kind of basic yet highly gdad 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.
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: 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. Aug 29, Morgan rated it it was amazing. This was a great cul 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.
Oct 13, Ariful Islam graad it it was amazing Shelves: A short and concise book for getting intuition on vector calculus as a tool for physics. It starts out by explicitly setting sche goal to find the electric field due to any distribution of dov, 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.
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Highly recommended for a first time exposure to the subject. 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. This book is definitely no substitute for more rigorous proofs and derivations, but it would be a great refresher, and is a perfect companion piece for quite a few subjects.
I also found the practice problems to be really helpful, as they are not overly-difficult and tend to reinforce the most important concepts. May 21, Andrew rated it it was amazing.
I ran across the Vector Function derivatives in the title in a physics book. This book explained the mysteries scjey at in the other book.
DIV, Grad, Curl, and All That: An Informal Text on Vector Calculus
Limited to three dimensions, limited in its rigor, but within these limits crystal-clear about the sxhey and why of Div, Grad, Curl and the cugl in which these derivatives occur.
Jul 31, Erickson rated it it was amazing Shelves: Very intuitive and concise. Good start before entering full fledged mathematical formulation of electromagnetism.
It also helps build intuitions for calculus courses which are more rigorous, since the author specifies in what sense he trad being “sloppy” by stating what are needed to make some arguments work in rigorous manner. Jun 13, Mostafa Alkady rated it it was amazing.
An extremely useful book for vector calculus that you’ll probably go back to more than once especially if you’re into Physics. Very easy to grasp, provided with figures, and links most of the topics to their applications in real life. Readers just need to know some basic calculus and a glimpse of multivariable calculus to understand it all.
I highly recommend it. Nov 25, Teressa marked it as to-read. This book was recommended to me while I was discussing how I wanted to review my college math textbooks Sep 10, Furl Johnson rated it it was amazing. Read this is an evening to get ready for prelims. I’ll have scheh go back through to do a more careful rereading and work some of the problems, but it’s a pretty wonderful guide to the topic of multivariable calculus. May 01, Jeff rated it did not like it. One of the most unhelpful physics books i’ve read.
Very unclear derivations at times and very big logical steps missing. Horrible description of surface integrals. Confusing unclear derivation zchey the gradient.
May 12, Ronald Lett rated it really liked it Shelves: I used this book while studying physics in high school.
If you are a physics student struggling to put precise physical intuition into divergence, gradient and curl operations, this text is a quick study. Apr 24, Andrew rated it really liked it Recommends it for: This is a great, accessible primer on vector calculus.
The exercises represent a good range of difficulty, and the informal style of writing makes the concepts easy to grasp in the absence of classroom instruction.
Mar 30, sqrt2 rated it it was amazing. Jul 07, Frank rated it it was amazing Shelves: I really dig it.