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Download Multivariable Calculus, Draft Version epub

by Guadalupe I. Lonzano,Daniel E. Flath,Andrew M. Gleason,David Lovelock,Karen R. Rhea,Deborah Hughes-Hallett,Douglas Quinney,William G. McCallum,Adam H. Speigler,Brad G. Osgood

Developed in response to the calculus reform movement, this text is problem driven and contains exceptional exercises based on authentic applications. Uses technology as a tool to help visualize concepts and gives equal weight in describing functions graphically, numerically and symbolically. Designed to encourage students to think and write about the geometrical and numerical meaning of what they are doing.
Download Multivariable Calculus, Draft Version epub
ISBN: 0471304506
ISBN13: 978-0471304500
Category: Science
Subcategory: Mathematics
Author: Guadalupe I. Lonzano,Daniel E. Flath,Andrew M. Gleason,David Lovelock,Karen R. Rhea,Deborah Hughes-Hallett,Douglas Quinney,William G. McCallum,Adam H. Speigler,Brad G. Osgood
Language: English
Publisher: Wiley; 1 edition (August 29, 1994)
Pages: 496 pages
ePUB size: 1539 kb
FB2 size: 1323 kb
Rating: 4.8
Votes: 886
Other Formats: mbr mobi txt lrf

This book will frustrate and irritate anyone who has any degree of understanding of the algebraic or theoretical bases of multivariable calculus. When there is a very simple algebraic method to evaluate an expression, the text will actually use a less accurate approximation which is in fact more difficult to compute. The premise of this "new school" calculus is that it promotes a theoretical understanding of calculus, but it actually rewards button-pushing ability more than genuine understanding. This series of calculus textbooks is probably the worst thing to ever happen to the subject, and perhaps to mathematics education in general.
"This innovative book is the product of an NSF funded calculus consortium based at Harvard University and was developed as part of the calculus reform movement" Beware of Harvard, i.e. reform Calculus. Instead of teaching people about maxima and minima, you show them how to use a calculator to guess. What a load of junk. Nobody learns what anything means, just how to apply formulas, etc. It is a shame what books and authors like these are doing to college mathematics. This book is particularly bad, a whole bunch of fluff, not a damn ounce of substance.
Calculus is confusing enough. You don't need a terribly written book to make it worse. The explanations are poorly written and extremely short. It takes a comprehensive understanding of calculus in order to understand anything that the author says. A well written book shouldn't have arrows pointing in random directions. Random arrows don't make a confusing concept any less difficult to comprehend. I could read my chemistry book and learn more about math than by reading this one.
Besides the picture on the front, this book is horrible! I've learned more by personal derivation and experimenting than through this book. The explanations are overly bloated, and include so many approximations and tables that the theory behind this book's ramblings is lost completely. Instead of focusing on theoretical multivariable calculus while introducing, as a short diversion an approximating method, this book builds around a foundation of approximations, which clouds the actual mathematics in the process.
In my opinion, unless theory is ingrained in students' heads from the start, they will never even attempt to understand it. After all, the book gives the theory second priority, so why should students pay any attention to it?
Moreover, in the introduction, the book promises to have problem sets that a student "cannot just look for a similar example to solve... you will have to think." However, after working with this book's homework problems, I've found them to be the exact opposite of this! There are plenty of similar examples for any given problem, and as a result the teacher's role becomes trivial, while at the same time students don't really understand anything they're doing. Not only this, but the problems are overly MUNDANE, and there is too much practice for a single concept. If a student has taken calculus, he can do derivatives, so he should not need 31 exercises to learn how to do partial derivatives.
Capping all this off, there are no truly challenging problems at all in this book. All of them focus on mechanical methods rather than clever application of known theory. The biggest challenge in this book, in fact, is keeping your hand intact as you take 50 partial derivatives, and then hit a problem that says "repeat for the second partial derivatives."
Meanwhile, your fine motor skills deteriorate quickly as you overwork them drawing or re-drawing a graph or table every other problem.
Bravo, Debbie Hughes, you can use Mathematica's graphing capabilities to their fullest. We're all proud of you. Now can you keep them out of your textbook? No one wants to see a billion tables staring them in the face, and then have to copy and change a billion more for homework. That's not a way to learn. This whole textbook is just a way to pretend you're learning.
Waiting to really learn anything from this book is like waiting for Richard Simmons to get married. Trust me, it's not gonna happen, folks.
I have to disagree with my fellow Californians and unfortunately agree with someone from New York. This is an excellent foundation overview without the clutter of Anton's and Stewart's books. I found it to be a conveniently carried paperback and an enjoyable read.