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Integrability of functions that are discontinuous on an uncountable set of points

This post came about as I was looking at Abbot’s “Understanding Analysis”. I wanted to see what more I could learn and what follows from my first two analysis courses. I am mainly using this book as reference. Considering infinitely many discontinuities One of the problems set after having learnt the definition of the Reimann Continue reading
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Graph Theory: Diestel

I really enjoy graph theory as it encourages a type of problem solving that has a different flavour and is quite satisfying if you get somewhere with a question. By no means is my knowledge very advanced but I would like to share my practice and struggles with it as it is always very formative. Continue reading
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Problems from Herstein’s Topics in Algebra

Topics in Algebra has been my favourite book to learn group theory from so far. So, I thought I would upload solutions to exercises that I do here! Normal Subgroups and Quotient Groups The section I have just looked at is Chapter 2, section 6, ‘Normal Subgroups and Quotient Groups‘. I give a brief overview Continue reading
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Introduction

Welcome to this page about discovering, learning and enjoying mathematics! I endeavour to share my learning and fascination with the subject and hopefully grow as a mathematician in the process. My initial focus here will be on solving problems and sharing my solutions, ideas and what I learned. Of course, I will need to learn Continue reading