About Mathematical Analysis by Zorich

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Discussion Overview

The discussion revolves around the book "Mathematical Analysis" by Zorich, focusing on the challenges participants face with the exercises and the lack of provided answers. Participants explore the value of the book in the context of self-study and seek alternatives for finding solutions or hints for the exercises.

Discussion Character

  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant expresses difficulty with the exercises in Zorich's book and questions the value of the book if the exercises are skipped.
  • Another participant notes that most books at this level do not provide answers and suggests posting in the homework forum for feedback.
  • A different participant emphasizes the importance of attempting all exercises, stating they are crucial for understanding the material.
  • Some participants mention other analysis books that provide answers, such as Binmore and Ross, but note that these may not be as rigorous as Zorich's book.
  • One participant suggests that starting with easier analysis books can be beneficial for building mathematical maturity before tackling more challenging texts.
  • A later post reiterates the initial concerns about finding answers and requests specific help for certain exercises, indicating ongoing difficulty.

Areas of Agreement / Disagreement

Participants generally agree on the importance of exercises in mathematical learning, but there is no consensus on how to best approach the lack of answers in Zorich's book. Multiple views on alternative resources and strategies remain present.

Contextual Notes

Some participants mention that the lack of answers may be a common issue in rigorous mathematics texts, and there is an acknowledgment of varying levels of mathematical maturity among readers.

Who May Find This Useful

This discussion may be useful for students studying mathematical analysis, particularly those using Zorich's book or similar texts, as well as educators looking for insights on teaching methodologies related to rigorous mathematics.

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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