- Real Analysis
- Real Analysis: Modern Techniques And Their Applications
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- Real analysis : modern techniques and their applications in SearchWorks catalog
A compact and good book From Amazon I like this book! Of course the book demand some work of the reader, and it is not the easiest book to read, but its easier to get an overview of an subject, when the material is compact as in this book! Frustrating From Amazon It seems that the higher up you go in the Mathematics curriculum, the poorer the books you meet.
In my honest opinion, a book should help you learn and understand the material as quickly as possible. Otherwise, you might as well be given a list of definitions, stuck in a closed padded room and asked to come up with all the theorems by yourself. Unfortunately, there are too many graduate textbooks out there written by individuals who seem to have no desire to make the ideas they are trying to present as clear as possible.
There's no educational philosophy.
This book falls under that category. For example, this book is almost completely devoid of any examples. I don't know about you, but from example, is how I learn. I could go through this book much faster, if there were some decent examples.
You can tell me a thousand times what a sigma algebra is, but if you don't give me some decent, worked-out examples which might tell me why tell me why I should learn it other than because I'll fail the course , I'm going to forget the definition after 5 minutes. Secondly, it would help if there were more pictures. A picture is worth a thousand words.
Third, some of the definitions are not worded as well as they should be. Ten minutes may not sound like much, but if you have to read 10 pages before you get to pleasure of spending 10 hours with the homework problems, that translates into a lot of time you could spend doing other things if only this book were presented in a manner which would enable you to learn the material more efficiently.
I give it two stars primarily because some of the homework problems aren't too bad. If you have a choice, have a look at Kolmogorov and Fomins book on Real analysis.
It's not perfect, but the material in it is organized better. Ships same or next day. Choose expedited shipping for fastest delivery. Wiley, Ships with Tracking Number!
Real Analysis: Modern Techniques And Their Applications
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Real analysis : modern techniques and their applications in SearchWorks catalog
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