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November 9th, 2018, 07:30 AM   #1
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Best theory book to accompany "Problems in Mathematical Analysis- Demidovich"

Hello all,

I'm certain that many of you know Demidovich's problems books:

-Problems in Mathematical Analysis- Demidovich
-5000 problemas de análisis matemático.

My question is: Is there any theory book to accompany this titles?

BR
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November 9th, 2018, 03:24 PM   #2
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November 11th, 2018, 04:37 PM   #3
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Quote:
Originally Posted by Denis View Post
Is the answer hidden in the video?
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November 11th, 2018, 06:17 PM   #4
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No...was just a joke: torero
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November 11th, 2018, 06:23 PM   #5
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Math Focus: Yet to find out.
I’d like to know if there was a book intended to accompany the problems too..

But I think just study analysis from wherever and work through the problems as they become relevant is fine.
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November 13th, 2018, 06:05 AM   #6
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Quote:
Originally Posted by Joppy View Post
I’d like to know if there was a book intended to accompany the problems too..

But I think just study analysis from wherever and work through the problems as they become relevant is fine.
Yes but I thought that there was a theory book from the same author, or I was wondering if the book was inspired in theory book.

Any way, thanks.
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November 13th, 2018, 10:23 AM   #7
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Googled your book.* Has a brief summary of theory for each topic, which range from calculus through advanced calculus to ODE's. It's self contained. I happened on a concise clear definition of infinitesimal and infinite which impressed me.

Study the theory and sample problems at beginning of each section and glance at the problems. Don't try to solve them, you will grind to a halt. Just keep going.

It's nice to know you have a back-up source for alternate explanations:
A representative (cheap) selecton is:

Oakley, The Calculus, $3.95 & free shipping

Any Thomas Calculus.

Kaplan, Advanced Calculus 2nd Ed

Taylor, Advanced Calculus

Boyce DiPrima ODE
Tennenbaum and Pollard, ODE
Not that familiar with either of the ODE's. T&P had good reviews on Amazon and cheap used. BDP scarce and expensive- used to be cheap and available, probably a reaction to the modern texts.

Never did like ODE's and PDE's. just a bunch of methods, and the modern approach with function spaces just adds jargon which goes right back to the methods after the smoke clears. Seriously looked at Rudin which left me nothing, which is the one thing I got from it.

Fans of modern math will attack you with jargon, ignore it unless it is clear enough to give you some insight. I have not found that to be the case- Wiki.
Good luck.

*
http://www.karlin.mff.cuni.cz/~vybir...l-Analysis.pdf
Books available at ABE: https://www.abebooks.com/?cm_sp=TopNav-_-static-_-Logo
or Amazon.

EDIT: Some practical advice

Heavy, unwieldy, cheap books can be sliced up by topics you are interested in and stapled together. Get a bunch of cheap 7 3/4 X 5' notebooks which you can stuff in your pocket with a pencil and you are all set to sit outside a nice coffee shop and study.

Last edited by zylo; November 13th, 2018 at 10:33 AM.
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