[F748.Ebook] Get Free Ebook Multivariable Calculus, by Clark Bray
Get Free Ebook Multivariable Calculus, by Clark Bray
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Multivariable Calculus, by Clark Bray
Get Free Ebook Multivariable Calculus, by Clark Bray
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For more information, including an entire collection of free video lectures and video help with exercises, see the book webpage at: http://www.math.duke.edu/~cbray/mv/ This is a textbook on multivariable calculus, whose target audience is the students in Math 212 at Duke University -- a course in multivariable calculus intended for students majoring in the sciences and engineering. This book has been used in summer offerings of that course several times, taught by Clark Bray. It is intended to fill a gap in the spectrum of multivariable calculus textbooks. It goes beyond books that are oriented around formulas that students can simply memorize, but it does not include the abstraction and rigor that can be found in books that give the most complete and sophisticated presentations of the material. This book would be appropriate for use at any university. It assumes only that the student is proficient in single variable calculus and its prerequisites. The material in this book is developed in a way such that students can see a motivation behind the development, not just the results. The emphasis is on giving students a way to visualize the ideas and see the connections between them, with less emphasis on rigor. The book includes substantial applications, including much discussion of gravitational, electric, and magnetic fields, Maxwell's laws, and the relationships of these physical ideas to the vector calculus theorems of Gauss and Stokes. It also includes a brief discussion of linear algebra, allowing for the discussion of the derivative transformation and Jacobian matrices, which are then used often elsewhere in the book. And there are extensive discussions of multivariable functions and the different ways to represent them geometrically, manipulating multivariable equations and the effects on the solution sets.
- Sales Rank: #678518 in Books
- Published on: 2013-02-21
- Original language: English
- Number of items: 1
- Dimensions: 11.00" h x 1.09" w x 8.50" l, 2.45 pounds
- Binding: Paperback
- 482 pages
Most helpful customer reviews
11 of 11 people found the following review helpful.
A great deal on all the dimensions you need
By P. J. Gies
I'm teaching Calculus III next fall at the University of Maine at Farmington, and I was intrigued by this book, which stood out for its coverage and its low price. And then there's the fact that it's written by Clark Bray... and published by, well, Clark Bray. (I self published on Amazon, a teeny bit.)
After receiving the book, I found that it was a full and completely legit text for the subject, and it also has all the wonderful idiosyncrasies that text publishers wipe out in producing those $178 tomes we use to kill pigeons and injure college freshpersons. (We don't really kill pigeons.) I love his exercises, I love his explanations, I love his organization and yes, I also love his price.
7 of 7 people found the following review helpful.
Great!
By AnnaJangle
I used this for a summer class with Clark Bray. Clark Bray teaches out of the book so it was obviously very useful (and necessary to have). The text is clear and concise. This book (and the class) actually made multivariable calculus fun for me! It had everything that I want in a textbook, and I wish my other textbooks were like this!
5 of 5 people found the following review helpful.
Good book for self teaching
By Desmond Laffan
This book was a great buy! Because I am using it to teach myself multivariable calc, I was at first taken aback when I discovered that there were no quick references to the solutions to the exercises anywhere in the book or online. However, Clark Bray has video solutions for a ton of the exercises in the book on his website: [...]. Even though there are no answer pages to the exercises, I find that these videos are even more helpful than answer pages because Bray himself walks you through a problem or concept if you do not understand it at first. This to me is a luxury that does not come with most math textbooks. The book is written in a really appealing casual style, but it is still challenging. It really just feels like a professor is explaining things to you in person. While I do wish that the book provided more formal proofs, the book still provides geometric proofs and derivations of the theorems that are not formally proven, so that the reader still understands exactly how the underlying mechanisms of multivariable calc work. If you still feel that you want quick references to the answers to the exercises, you can often use the app Wolfram Alpha to provide you with solutions.
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