About Mathematical Analysis by Zorich

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SUMMARY

The discussion centers on the book "Mathematical Analysis" by Zorich, highlighting its rigorous nature and the challenge of solving its exercises due to the lack of provided answers. Participants recommend that readers persist with the book and utilize homework forums for feedback on exercises. Alternative resources mentioned include Binmore's analysis book, which contains answers but is criticized for being overly simplistic, and Ross's book, which also provides answers but lacks the intensity of Zorich's work. The consensus is that engaging with the exercises is crucial for mastering the material.

PREREQUISITES
  • Understanding of mathematical analysis concepts
  • Familiarity with rigorous problem-solving techniques
  • Basic proficiency in English for comprehension of the material
  • Experience with self-study methods in mathematics
NEXT STEPS
  • Explore Binmore's "Mathematical Analysis" for a more guided approach
  • Research Ross's analysis book for additional exercises with answers
  • Join online homework forums for collaborative problem-solving
  • Look for supplementary exercise books related to Zorich's material
USEFUL FOR

Students of mathematics, particularly those studying analysis, educators seeking resources for teaching rigorous mathematics, and self-learners looking for structured problem-solving support.

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!

upload_2015-5-18_15-58-15.png
 

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