Summaries and Customer Reviews are supplied by Amazon.com
Summary:
Your INTEGRAL tool for mastering ADVANCED CALCULUS
Interested in going further in calculus but don't where to begin? No problem! With Advanced Calculus Demystified, there's no limit to how much you will learn.
Beginning with an overview of functions of multiple variables and their graphs, this book covers the fundamentals, without spending too much time on rigorous proofs. Then you will move through more complex topics including partial derivatives, multiple integrals, parameterizations, vectors, and gradients, so you'll be able to solve difficult problems with ease. And, you can test yourself at the end of every chapter for calculated proof that you're mastering this subject, which is the gateway to many exciting areas of mathematics, science, and engineering.
This fast and easy guide offers:
Numerous detailed examples to illustrate basic concepts
Geometric interpretations of vector operations such as div, grad, and curl
Coverage of key integration theorems including Green's, Stokes', and Gauss'
Quizzes at the end of each chapter to reinforce learning
A time-saving approach to performing better on an exam or at work
Simple enough for a beginner, but challenging enough for a more advanced student, Advanced Calculus Demystified is one book you won't want to function without!
Customer Reviews:
Average Customer Rating:
Not a bad book, but...
Customer Rating:
I took a course in vector calculus and linear algebra 15 years ago but was forced to drop out of college and have forgotten most of the material. I am preparing to go back to college and complete a degree, so I want to get caught up. This is not a bad book as a supplement to a good text, but it's not a good text book on its own. I thought I'd be able to use this by itself, but I ended up using my calculus textbook to actually learn the subject matter, then I used this text to fill in the gaps and review.
Excellent as a supplement (but not enough on its own)
Customer Rating:
When you're studying Advanced Calculus on your own you need three things (apart from work and the right mindset, of course:) -A good intuition about the nuts and bolts of the problems. -Many, many exercises. -A source for formalism and other theorems that are important.
David Bachman's book is amazing in that it is the first book i know that can give you the first point and a bit of the second. But! Do not expect to learn Adv. Calculus using this book alone.
Firstly there simply are not enough exercises. Secondly, it has some important omissions (there is nothing about the Implicit Function and Envelope Theorems, which are essential in Differential Calculus).
But if you arm yourself with this wonderful little book (They DO say it's a companion for more advanced texts in the cover), with a good source of solved problems and any regular Calculus textbook and work them over you should be in good shape.
I'm so excited I can't stand it!
Customer Rating:
This book deserves 10 stars. It is simply the clearest and easiest to understand math book on a difficult topic that I've ever seen. Out of the over 1300 things that I have reviewed on Amazon, I would give this book the highest rating. I completely agree with Darkman in his earlier review, that the book is so good that you can just pick up anywhere and understand what is being said. I've seen a lot of math books over the years that purported to be what this one is, and were not, most of them not by any stretch of the imagination. As he says, most just cover proofs, which isn't that useful for most people, or try to teach the applied practical side but just make it too difficult.
The problem is that most people who are good at math, good enough to get a Ph.D. and write a book like this, are so good at it that they just don't understand the average college student who doesn't. For some amazing reason, Bachman does, and if all math teachers were like him, math would actually be, if not a popular subject, at least far more than it is now. If you are considering this book, just pick it up and start reading anywhere and you'll see what we mean. It's truly an amazing feat of writing and math teaching and the book is worth 10 times the actual purchase price, in my opinion, in all the time it will save you and all the hassle you'll avoid trying to understand difficult concepts.
Not only that, but the way Bachman presents the subject, despite the overall technical level, he is still able to show you the beauty and elegance of the language of advanced calculus despite that.
Finally, the worked problems are well chosen and very clearly solved and illustrated. I just can't say enough good about this book. I've looked for a math book this clear for advanced calculus and other advanced math topics for almost 35 years. I'm so excited by this book that words don't really do justice, and at my age there's not a whole lot that I get really excited about anymore. They should inaugurate a new Nobel Prize for teaching excellence and give the first one to Bachman so he can retire from day to day college teaching and continue to write books like this.
Excellent for all purposes
Customer Rating:
It's been a long time since I'd learned Calculus in H.S. and a bit in College -- when I needed a quick review, to do a couple of problems that cropped up at work, I stumbled across this book, and boy am I glad of that. Everything is explained clearly -- really clearly -- and sometimes with a touch of humor thrown in that makes the book so much more enjoyable to read.
It was organized so well that I could immediately zoom in on just what I needed, and once I got to the right chapter, the info was well organized, well written, enabling me to review, get my answers, and apply it to the things I needed.
Skimming other Calculus books in the bookstore, they were either too didactic, doing endless proofs (which I didn't really need...) or they were written so poorly that they didn't really help much. (Best way to compare books -- choose one topic, read about it in several books, see which book explains it best... this one did!) It stays true to the title "Demystified".
If you're a bit beyond the intro level, such as in college, taking a math course or a few, this would be a great way to review before an exam, or a great way to get "another viewpoint" that might help you figure out what you're not getting from your dry, dessicated textbook. You should know that this book covers more advanced material than the very simple stuff, but frankly, it handles it so well that I didn't need to review the simple stuff to understand what I needed to. Imagine that -- a math book so clear that you can pretty much pick it up anywhere and just start reading! If you're a student taking "calculus I" in high school, much of this book will be beyond what you want, but you'll be able to understand it.
What's more, I'd recommend it to anyone who is in a field who might stumble across a Calculus idea or problem, such as computer geeks (such as myself), or engineering professionals, etc. Pick it up & if you can't read it now, put it on the shelf -- you'll be glad it's there when the need arises. An excellent book, that "hits" just the right level of review and learning so you can really understand it, and use it.
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