Page 1 of 1

A collection of problems in Analysis

Posted: Sun Mar 26, 2017 2:23 pm
by Tolaso J Kos
Greetings,

I have assembled here some problems in Analysis that are quite entertaining and some of them are quite challenging. The following booklet contains problems from $4$ main branches of Mathematical Analysis:
  1. Real and Complex Analysis
  2. Multivariable Calculus
  3. General Topology
  4. Integrals and Series
Most of the problems presented here are quite well known and can be found out there just by googling them and of course plenty of them have been posted here by me. Of course , there are others that have not been posted. To some of you these problems may be easy and only few can pose a real challenge. To others that have not this experience I challenge you to try your very best to come up with creative solutions to these problems.

As this booklet is human made , it is very logical that erros may occur during your reading. If you notice something feel free to contact me either by replying here or by sending me an e-mail at the e-mail adress that you can find within the booklet.

Hope you enjoy your time tackling them or just reading them.
A collection of problems in Analysis.pdf
(701.63 KiB) Downloaded 39 times

Re: A collection of problems in Analysis

Posted: Fri May 12, 2017 10:09 pm
by Tolaso J Kos
The file is updated! Check first post for a direct download.

Re: A collection of problems in Analysis

Posted: Wed Aug 30, 2017 8:18 am
by Tolaso J Kos
File updated to version $5$. As always your remarks are most welcome.

Re: A collection of problems in Analysis

Posted: Fri May 18, 2018 12:03 pm
by Tolaso J Kos
A new version ( version 9 ) is out. Hope you find it entertaining. Awaiting to hear your feedback!

Re: A collection of problems in Analysis

Posted: Sun Dec 23, 2018 5:59 pm
by Tolaso J Kos
Greetings,

the current version of the booklet " A collection of problems in Analysis" is out. This is version $11$. Milestone of $500$ exercises is reached , so this new version does not contain any new exercises. However, a new appendix about the Pisot numbers has been added to the booklet. Other than that, the $11$th is a maintenance version. Few things have changed ; mainly typographical errors.

Thank you all so much for embracing this effort. I'm grateful.

If you spot any typographical errors , please lemme know.

Regards,

Tolaso.

Due to excessive size of the file , this cannot be attached. You may download it directly from this directory here.