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University Maths Articles

• Messing With Infinity ^{Editor's Pick}

  Although being a fundamental concept in pure mathematics, infinity is quite a challenging one to get one’s head around. I do not aspire to an exhaustive discussion on the topic, but merely to illustrate some recurrent issues that arise when exploring themes where infinity creeps in. In this...

• Is University Maths Right For Me?

  The following is a short set of questions that students considering Mathematics at University might want to attempt. My hope is that they will give you a feel for the kind of basic Mathematical thinking required at university level. 1. We all know there is no largest number. Can you give a...

• Choosing an Introductory Mathematics Textbook ^{Editor's Pick}

  Starting the study of mathematics can be a daunting task even for the most determined of us. From my experience, the key to success is choosing proper textbooks to study from. A trip to the library or a bookstore will most likely be overwhelming for new students as there are a vast number of...

• Study your way to $1,000,000? ^{Editor's Pick}

  The Clay Mathematics Institute is a private non-profit foundation “dedicated to increasing and disseminating mathematical knowledge.” In 2000 the Clay Institute put forward seven of what are considered the greatest unsolved problems in modern mathematics puzzling the greatest mathematical minds...

• Maths and Physics: from a different angle

  Maths as a language describes the natural world, to a large extent is very similar to English. It is made of numbers, symbols and equations using its unique method--Logic. Comparatively, English which has letter, words and phrases is constructed with grammar and reasoning. So my approach is...

• Fractal Geometry ^{Editor's Pick}

  What is fractal geometry? Many forms in nature could be described mathematically as fractals, a word Mandelbrot invented to describe irregular polygons that had edges that were jagged and broken. He said that you could create a fractal by taking a smooth looking, regular polygon, such as...