![]() ![]() I analyzed various specific things I did not like with this chapter, but I insist on giving it a 4-star rating because being so clear and giving motivation behind everything is a rare thing for a book. Some things are presented here, but in no solid way. These might not be important to the understanding of the chapter material but they would provide further insight through connections). ![]() But, keep in mind that at the start of the chapter, the author warns the reader that he supposes the reader is familiar with those coordinates systems, so I don't hold the "plainness" of this chapter against him.Ģ) The problems on finding lengths and equations of planes or lines were pretty good.ģ) Some things from linear algebra would be really helpful if they were put into a "review chapter" and connected with the rest of the chapter(for example linear independence, basis, etc. The overall chapter felt rushed with the author only giving the information in a raw manner. Also, the unit vectors in each coordinate system(for example the "azimuthal unit vector") were left to find as a part of two problems! I think the author should prove them because they are both important and a bit tricky to find. ![]() There were some great problems but the examples were too simple in comparison. I enjoyed the historical notes(which many times contain biography of a great physicist or mathematician) but I won't take this into consideration while I am rating the book, because this is not the essence of it.ġ) The chapter on spherical and cylindrical coordinates systems didn't satisfy me. I also encountered one or two problems(of the over 100 of the chapter) that failed in their effort to guide the reader to a solution, but I think every book that contains so many exercises has this problem. There are problems that have to do with physics nothing fancy, just straightforward stuff. There are some creative(good) exercises here, but if you take into consideration the large amount of problems you will conclude that there could/should be much more of them. I like how the exercises go from very easy and gradually escalate to hard. Now, the problems are much more difficult than the examples the examples are there to make sure that you got the main point of each subject. Insights are gained through the MANY problems. Having said that, I must also say that everything that the author tries to cover are as clear as it could be. While everything in this chapter were clear(and the many illustrations helped a great deal in this), the author rarely goes the extra step to provide a deep insight. The are examples that make sure that you know the basics of every thing that the author tries to teach you. This chapter is considered an easy one an introduction. In the first chapter, I will give this a 4-star rating. That's great! Check the chapter-specific mini-reviews for stuff I did or did not like. When there is no proof for something, the author provides motivation for it. It's as rigorous as a non-mathematician would like it to be. The book isn't rigorous in a way that would satisfy a mathematician, but for me-a physicist-it's ideal. There also a lot of helpful illustrations. Lot's of examples and problems and the answers to half of them are very useful. On the whole book(I will edit this as I go on):Įverything is explained in a very clear way. "I am going to provide a review of this book while I am going through it I will edit each time I go through one chapter. ![]() So, I will not be reading this book anymore. While I intended to read all of it, after finishing with chapter 2, I found Colley's "Vector Calculus" to be much better than this. ![]()
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