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## A collection of problems in Analysis

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Tolaso J Kos
Articles: 2
Posts: 855
Joined: Sat Nov 07, 2015 6:12 pm
Location: Larisa
Contact:

### A collection of problems in Analysis

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.

A collection of problems in Analysis.pdf
Imagination is much more important than knowledge.
Tolaso J Kos
Articles: 2
Posts: 855
Joined: Sat Nov 07, 2015 6:12 pm
Location: Larisa
Contact:

### Re: A collection of problems in Analysis

Imagination is much more important than knowledge.
Tolaso J Kos
Articles: 2
Posts: 855
Joined: Sat Nov 07, 2015 6:12 pm
Location: Larisa
Contact:

### Re: A collection of problems in Analysis

File updated to version $5$. As always your remarks are most welcome.
Imagination is much more important than knowledge.
Tolaso J Kos
Articles: 2
Posts: 855
Joined: Sat Nov 07, 2015 6:12 pm
Location: Larisa
Contact:

### Re: A collection of problems in Analysis

A new version ( version 9 ) is out. Hope you find it entertaining. Awaiting to hear your feedback!
Imagination is much more important than knowledge.
Tolaso J Kos
Articles: 2
Posts: 855
Joined: Sat Nov 07, 2015 6:12 pm
Location: Larisa
Contact:

### Re: A collection of problems in Analysis

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.
Imagination is much more important than knowledge.