Customer Reviews

Applied Analysis

5 star:		(4)
4 star:		(1)
3 star:		(0)
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This text provides a solid introduction to advanced math for the applied mathematician. It starts from a review of real analysis and covers topics like Hilbert Spaces, distribution theory, and calculus of variations, with an eye towards applications. The book is filled with well thought of and illustrative examples.

wonderful book for the budding Applied Mathematician. Clear, well thought-out examples and explanations. Buy this book if you intend to go to graduate school in applied mathematics.

I used this book as the primary text for my graduate analysis sequence. The examples and exercises were very instructive. Occasionally, I found myself looking to other standard texts in analysis or functional analysis for more details, but that is true of every textbook. It's available free on Hunter's website, but it's so cheap that it's a bit silly to take the electronic route.

This is an excellent book that whips you through a lot of Analysis very quickly, but at the same time is plenty detailed. It is also excently written.

My first graduate level mathematics course used this book and I was impresssed by it (although I was not particularly impressed by the course itself!) It does not have the tight structure of, say, Rudin--the authors seem to jump around from subject to subject rather freely. This might be annoying to some, but to be I find it rather charming because it gives analysis an organic feel that one might not ordinarily associate with the subject. I might also add that this "jumping" does not accompany a lack of rigor--just about everything is proven rigorously. Sometimes the proofs of major theorems are rather long and convoluted, perhaps due in large part to the relative lack of pre-built structure, but just as often the authors throw a curve ball and the result follows nicely. There are a good amount of illustrations for a graduate level text and frequent, often in-depth discussions of examples and applications. This breathes life into the subject and (for me at least) gives you a sense of delight at the power of such abstract concepts. So to summarize, the text is sloppy but fun precisely because it is sloppy. I should also warn that it is somewhat difficult in places, it is certainly a graduate level text. It is not ideal for self-teaching unless you possess the discipline and patience to work through the excercises at the end of the chapters--they should be attainable but there are no solutions, so you are on your own. Mathematical maturity is required, although that by itself will go a long way. One does not need to be, e.g. a master of ODE's or undergraduate analysis, or any other particular subject matter to understand this book. One just needs the ability to read and understand higher level mathematics. As a final warning I should also note that a lot of standard stuff (such as measure theory) is not covered well in this book, although a lot of other stuff is. The text is unorthodox.