Aram Dermenjian

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ECCO 2018

A couple of weeks ago I had the pleasure of participating in the 6th Encuentro Colombiano de Combinatoria (ECCO) in Barranquilla, Colombia. I had heard about ECCO from my good friends during the 2016 formal power series and algebraic combinatorics conference in Vancouver, BC, Canada.¬†They had told me that ECCO was mathematics by day and …

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Introduction to Group Theory by Ledermann and Weir

Ledermann and Weir take a slightly unique approach in the theory of groups. Their text is slightly difficult to follow in a lot of places as they tend to group things together in non-standard ways. The biggest difference I found with his use of symbols is when talking about homomorphisms. In particular most texts will …

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A Mathematical Introduction to Logic by Herbert B. Enderton

I think Enderton does a really nice job introducing logic to those who have never studied it before. Although not always the easiest to follow Enderton lays out all the necessary topics in a nice organised fashion so it’s fairly simple to follow everything. I found his explanation of the pumping lemma to be lacking …

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Introduction to the Theory of Computation by Michael Sipser

This book was definitely one of the best books I’ve seen for introducing computation theory. Michael Sipser does an amazing job introducing not only Turing Machines, but also different types of machines such as RAM and Finite Automata. He not only gives a good intuitive description and explanation of different machines, but he also does …

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Introduction to Mathematical Logic by Elliott Mendelson

This week we’re doing another book on Logic! Mendelson does an ok job with his book in introductory logic. He sets up a nice introduction to logic concepts, but then fails to deliver much needed exposition. Although the book is very descriptive and helps to get your hands very dirty in logic, it can sometimes …

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Groups and Symmetry By M.A. Armstrong

Armstrong does an amazing job with his introduction to group theory. Unlike most texts he uses a geometric approach for a lot of his work in groups. With that he uses dihedral groups a lot in his exposition and is always going back to it (and symmetric groups) for examples. I thought it to be …

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Beginning Logic by E.J. Lemmon

  Edward John Lemmon¬†was a logician whose main area of expertise was modal logic. His book ‘Beginning Logic‘ is likely one of the better ones out there for those just getting into logic in order to understand the different rules in modal logic. Lemmon begins with an introduction on logic and why it is necessary …

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Book Review

Every Monday I’m going to publish a book review on a book that I’ve been reading. Most likely they’ll match up with classes or topics I’m currently learning about, so most likely books will come in bunches on topics, but I’ll try and vary them as much as I can. So look out starting next …

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Primes – How high can we go?

If you look at the primes, they seem to go on forever! And thanks to amazing mathematicians from the past we know that they do! But HOW do we know that they actually do? How can you be sure there is a number after 97 that is prime?

Back

After more than 3 years hiatus, I’m back to deliver more maths goodness! I hope you’re ready, cause I have some fun things in store for you.