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Mathematics In The Financial World
In the past the Maths usage in Business and Finance was usually reduced to simple arithmetic...Computational Spectral Theory: Part 1
Spectral theory is ubiquitous throughout the physical sciences and engineering. An early example...Supreme amongst the laws of Physics
The law that entropy increases The Second Law of Thermodynamics holds, "I think, the supreme...Our University Maths Tutors
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University Maths Articles

Studying Maths At Oxbridge vs The Rest
Students often ask me about the difference between studying maths at Oxbridge compared to other universities. What makes it harder?There are many facets to this, so here I discuss just two of the most obvious differences. But my intention is only to talk around the subject, rather than to answer... 
Can we do university maths without doing Alevel
DifficultConcept = EasyConcept1 * (EasyConcept2)^2 I never forget this one university student I taught a while ago. He was a mature student, very enthusiastic and determined to score high marks in his calculus exams. I generally find such students very sensible and responsible. During our first... 
Computational Spectral Theory: Part 1
Spectral theory is ubiquitous throughout the physical sciences and engineering. An early example of computational spectral theory can be found in Lord Rayleigh's 19th century calculations for the fundamental frequency of vibrating strings, beams, and plates. Rayleigh's computational technique...

Mathematics In The Financial World
In the past the Maths usage in Business and Finance was usually reduced to simple arithmetic operations. The situation has changed dramatically since the beginning of 1970s when financial derivatives started to be actively traded on the market. These include options, swaps, futures of various... 
Supreme amongst the laws of Physics
The law that entropy increases The Second Law of Thermodynamics holds, "I think, the supreme position among the laws of Nature. If someone points out to you that your pet theory of the universe is in disagreement with Maxwell's equations, then so much the worse for Maxwell's equations. If it is... 
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...