About Mathematical Analysis by Zorich

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The discussion centers on the challenges faced while studying Zorich's book, particularly the lack of provided answers to exercises, which makes it difficult for readers to verify their understanding. It is noted that most advanced mathematics books do not include answers, and readers are encouraged to engage with the exercises, as they are crucial for learning. Suggestions include utilizing homework forums for feedback and considering supplementary exercise books to aid comprehension. Some alternative texts with answers, such as Binmore and Ross, are mentioned, but they may not offer the same rigor as Zorich's work. It's emphasized that starting with easier texts is acceptable for building mathematical maturity before tackling more challenging material. The importance of attempting all exercises in Zorich's book is highlighted, as skipping them could diminish the learning experience.
wdjhit
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I'm reading this book now. I like it because it's rigorous and interesting but I have too much difficulty solving the exercises. What's worse, Zorich didn't give the answers. Where can I find the answers? I mean is there a book or something that gives the answers or even just some hints to the exercises? If there's not, then how should I use this book? Is it worth reading if the exercises are skipped?

By the way, my English is not good, if you can't understand my questions, just tell me and I'll try my best to explain.
 
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The vast majority of books at this level don't have answers. I can only think of one or two real analysis books with answers, and they're problem books, not theory books.

I would suggest to keep doing the book. If you want to check an answer, you can always post in the homework forum. You'll get good feedback very quickly! (Yes, do post in the homework forum even if you're self studying).
 
But please, do not skip the exercises. The exercises are the most important part of a math book. You should really attempt to make them all.
 
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Binmore is an analysis book with answers, but it criticized of "holding your hand too much". Ross has answers widely available, but it is also not as intense as something like Rudin. If you feel like you don't have the mathematical maturity to tackle a harder analysis book, there's absolutely nothing wrong with starting with the easier ones (think of training wheels: no shame in attaching them until you can ride alone). In fact, many universities (in the USA) have courses that ease the students up the rigorous math classes.
 
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Thank you, micromass and hsetennis. Your advice enlightens me a lot. Maybe I can still read Zorich's book and at the same time, get an exercise book which is related. Anyway, those books are not hard to find.
 
wdjhit said:
I'm reading this book now. I like it because it's rigorous and interesting but I have too much difficulty solving the exercises. What's worse, Zorich didn't give the answers. Where can I find the answers? I mean is there a book or something that gives the answers or even just some hints to the exercises? If there's not, then how should I use this book? Is it worth reading if the exercises are skipped?

By the way, my English is not good, if you can't understand my questions, just tell me and I'll try my best to explain.
In Zorich's book, what is the answer to the following questions for 2 a, c and e?
Please reply to deerfriends@gmail.com
Thanks!

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I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...

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