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I personally own a first printing of this book. There are many errors both large and small in scope.
A friend of mine owns a copy of the second printing which I read from (sporadically) when I took Math 223/224 at Cornell. The second edition is much better than the first but not quite adaquate.
I have no first-hand experience with the third printing although I hear that it is very good.
...Know that there is an errata page which can be easily found by searching the internet...
With that aside, my personal opinion of both the material and presentation that Prof. Hubbard offers is very high.
When I compared this text to other texts that friends of mine have used in similar classes at various other universities, I found one of two things to be true. Either my friends owned a copy of Hubbard's text or they owned an rather dull, uninspired, possibly outdated text. In the latter case, I was then able to understand why I often hear complaints that math is a "cold," "esoteric," "dry," or "soulless" subject.
Finally, what is the verdict. If you enjoy reading math books or if you consider yourself a competent math student who needs to understand the material than I highly reccomend either the THIRD printing of this book or the second edition which is rumored to appear in the fall of 2001. If you like the color yellow than I would also recommend looking at "Differential Equations, A Dynamical Systems Approach Part I" and "Differential Equations, A Dynamical Systems Approach: Higher-Dimensional Systems" which are both authored by John H. Hubbard.
I plan to buy a second edition when it prints!
Hubbard's "undergraduate" text to be extremely helpful.
Hubbard combines an intuitive heuristic approach appropriate
for undergraduates with a thoroughly rigorous set of proofs
appropriate for graduate students. I found his discussion of
differential forms particularly helpful. He provides an
excellent intuitive motivation for the definitions, and then
he follows this with a mathematically sound treatment of the
topic. This is a much nicer approach than one will find in
texts such as Rudin's Principals of Mathematical Analysis.
I highly recommend Hubbard's book to anyone wishing to learn
differential forms.
This book can be studied at several levels. For a first year honours course, one may skip the trickiest proofs, which appear in the appendix. More advanced readers may choose to study constructions and details of selected theorems and proofs. Anyone who buys this book will have a solid companion for many years ahead.
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1. The authors recognize that many beginning students need problem solving strategies; they supply a good method and are consistent with its use.
2. The book makes it abundantly clear what the big ideas are going into (and coming out of) each chapter. This was a very helpful study tool.
3. Their is surprisingly little "hand-waving" in this book, which I think is special for an introductory book on physics.
4. The problems have a _wide_ range of difficulty levels, and there are a lot of them.
5. The book covers a terrific amount of material, including basic mechanics, waves, optics, thermodynamics, and E&M. There's a short section on special relativity and other modern physics too, which is a nice appetite-whetter for students who will continue on.
This book can be very useful, but the organizational structure might at first seem a little opaque. After some getting used to, I have found the book a great resource. I would definitely recommend it for an introductory sequence at almost any school. I think the book might fit in best at more rigorous institutions, because it doesn't really pull many punches in the early chapters (though it does a good job making challenging material digestible). A good instructor could effectively use it at any institution, though--it's written to be understood.
One side comment regarding other reviews: The intro physics courses at SF State (where some of the reviewers used this book, including me) are unfortunately out of sequence, with students taking intro E&M with as little as one semester of calculus under their belts. This is obviously a big problem and I think some criticism has been leveled at the book (unfairly) because of it.
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As an aside, this book originally was published in 1994. After September 11, 2001, in another egregious example of exploitation of the tragedy, the opening chapter was revised and dedicated to the terrorist attacks on Washington, New York and over the skies of Pennsylvania. The September 11th timeline, like the book as whole, is a comprehensive but contains nothing new.
Nevertheless, it is a good source for a broad overview of terrorism in todays society. If ya dont know anything about the subject and want some basic info, get the book. But if ya want really accurate info, go somewhere else.
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