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SOEE2661
Module Reading List

Advanced Mathematics 4, 2021/22, Semester 2
Dr Alex Rap
a.rap@leeds.ac.uk
Tutor information is taken from the Module Catalogue

The module is not specifically based on any single text and all the information needed for this module is already in the lecture notes. Students needing further reading could check the following list and decide for themselves which suits them best, but in principle any textbook on Maths for scientists or engineers covering the topics presented in this module is suitable.

 

In alphabetical order:

1. Croft, A. and Davison, R., Mathematics for Engineers (multiple editions).  

This text covers background information and also some relevant topics on ordinary differential equations (chapter 20).

2. Haberman, R., Applied Partial Differential Equations (multiple editions).   

This text covers relevant topics on the method of separation of variables (chapter 2), Sturm-Liouville eigenvalue problems (chapter 5), nonhomogeneous problems (chapter 8), and Fourier transforms (chapter 10).

3. Kythe, P., Puri, P., Schäferkotter, M., and Kythe, P. (2003). Partial differential equations and boundary value problems with Mathematica (Second edition.). Boca Raton, Fla. ;: Chapman & Hall/CRC.   

This text covers relevant topics on the method of separation of variables for homogeneous and nonhomogeneous problems (chapter 5), the power series method (chapter 4), and the integral transform (chapter 6).

4. O'Neil, P.V., Advanced Engineering Mathematics (multiple editions)

This text covers relevant topics on differential equations (chapters 1 and 2), the power series method (chapter 4), partial differential equations (chapters 16 and 17), Legendre polynomials and orthogonal expansions (chapter 15), and the Fourier transform (chapter 14).

 5. Zill, D.G., Cullen, M.R., Advanced Engineering Mathematics (multiple editions)   

This text covers relevant topics on differential equations (chapters 1, 2, 3), the power series method (chapter 5), boundary value problems in rectangular (chapter 13) and other (chapter 14) coordinate systems, and the Integral transform (chapter 15).

This list was last updated on 24/08/2021