- #1

Shackleford

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The University of Reading offers the possibility of doing a PhD at a distance. Assuming that I do well in the above courses and genuinely find interest in the mathematics, then I'll consider approaching Reading about doing a self-funded research PhD. They offer a discounted rate for distance students. I do take advantage of tuition reimbursement offered at my employer.

http://www.reading.ac.uk/maths-and-stats/Postgraduate/maths-phd-prospective.aspxhttp://www.reading.ac.uk/maths-and-stats/research/num-an-comp-mod/numerical-analysis.aspx

However, I am 34 years old, married, and we will probably have our first child next year. I would likely finish the above courses in two to three years, taking one each fall and spring semesters. In my mind, what makes this even remotely possible is the difference between the US and UK programs. In some respects, the US programs are more rigorous and thorough. As far as I know, the program at Reading does not have coursework requirements, comprehensive and qualifying exams, or residency requirements. I assume that they would simply (not simply) expect original research to be completed and presented in the dissertation. If I cannot do that, then I will not be award a degree.

BS Math courses include Calculus I-III, Ordinary Differential Equations, Vector Analysis, Probability, Advanced Linear Algebra I & II, Intermediate Analysis, Discrete Mathematics, Abstract Algebra, Intermediate Mechanics, Thermal Physics, Modern Physics I & II

MA Math courses include Analysis, Differential Equations, Statistics, Regression and Linear Models, Numerical Computing with Python, Complex Analysis, Introduction to Differential Geometry, Number Theory

Other courses include Fourier Analysis, Seismic Wave and Ray Theory

My question is what textbooks do you recommend that would introduce me to the mathematics of finite element analysis, to a practical understanding of its implementation, to understanding the current research, and then to enabling me to ponder novel efforts for research? Thanks for any input.