All the Mathematics You Missed: But Need to Know for Graduate School 1st Edition
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"All the Mathematics You Missed...is a help for students going on to graduate school..Since many students beginning graduate school do not have the mathematical knowledge needed, All the Mathematics You Missed aims to fill in the gaps." Berkshire Eagle, Pittsfield, MA
"From the preface: 'The goal of this book is to give people at least a rough idea of many topics that beginning graduate students at the best graduate schools are assumed to know." Mathematical Reviews
"The writing is lucid mathematical exposition, at a level quite appropriate to beginning graduate students." The American Statistician
"Before classes began, I jump started my graduate career with the help of this book. Even though I didn't believe that I could have missed much math, it became clear that my belief was wrong during the first week of class. While proving a theorem, my professor asked if anyone remembered a previous result from calculus. While I did not remember it from my days as an undergraduate, I had read about the theorem and had even seen a sketch of the proof in Garrity's book...This will be one of the books that I keep with me as I continue as a graduate student. It has certainly helped me understand concepts that I have missed."
Elizabeth D. Russell, Math Horizons
"Point set topology, complex analysis, differential forms, the curvature of surfaces, the axiom of choice, Lebesgue integration, Fourier analysis, algorithms, and differential equations.... I found these sections to be the high points of the book. They were a sound introduction to material that some but not all graduate students will need."
Charles Ashbacher, School Science and Mathematics
- Publisher : Cambridge University Press; 1st edition (November 12, 2001)
- Language : English
- Paperback : 376 pages
- ISBN-10 : 0521797071
- ISBN-13 : 978-0521797078
- Item Weight : 1.15 pounds
- Dimensions : 6.1 x 0.9 x 8.9 inches
- Customer Reviews:
Top reviews from the United States
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Despite the content, I found this book to be quite readable. There are a few typos, but nothing too distracting. The tone is more casual/conversational than what I have seen in other mathematics books. The book didn't satisfy my expectations/goals of the purchase, but it wasn't written for engineers...or maybe after all of my fancy book learnin' I am already familiar enough with the topics that form the base of engineering mathematics (PDEs and vector calculus). I would still recommend the book for current or soon-to-be graduate students in math or the sciences. It seems like this will be quite the helpful tool.
That being said, this book is not (or, at least, should not be considered) the be-all-end-all of any topic. This is more like a chocolate sampling pack: it's a little bit of a lot of things. I'm glad, for example, that they included something about the Zariski topology, but I'm upset that they never actually calculate anything substantial in the parts about multivariable calculus. In particular, one of the questions asks the reader to "interpret" what the Jacobian means in such-and-such a case, but little is said in the chapter about such a thing.
I've read this book in the following way: skim the parts I knew well, read the parts I didn't know well, and write down topics that came up for the parts I didn't know well. Afterwards (using, in fact, the suggested reading that is conveniently at the end of each chapter) I would read in greater detail.
One last irritation: there are no solutions to any of the exercises. Normally, this is not such a bad deal, but for a number of the questions it would be nice to at least verify that my calculations are correct, or that my interpretation is what he wanted.
All in all, it's a nice book.