Content
Advisors and Collaborators
Hou, Thomas Yizhao (Ph.D. thesis advisor)
Nawaf Bou-Rabee(Collaborator)
Lu Chi (Collaborator and Wife)
Yaosong Chen (B.S. & M.S. thesis advisor)
Latex
Latex is an extradinarily excellent software to produce professional documents. Although it takes some time to learn it, it is really worthy. One thing I like most about Latex is that it forces you to think and write logically, and once you are doing so, not only the final layout is taken care of automatically and consistently throughout the whole document, but also it becomes a vessel to convey ideas to reader efficiently and effectively.The following suggestions are based on my own experiences. In the future, I will upload simplified version of my documents as examples. I mainly use pdflatex since it can directly output pdf file. When the file consists of figures, the quality is very satisfactory. Therefore, I strongly suggest or advocate to use pdflatex instead of latex-dvi.
For absolute beginners, "The Not So Short Introduction to Latex" is a good book to get you on the way.
Once you have used Latex for several times, Wiki-book on Latex "Latex" is the second stop for you. I also use it as a quick reference.
sciposter can be used produce excellent poster. One feature I like most is that it automatically balances the materials on each columns such that each column is almost of equal length.
beamer can be used produce professional slides, notes or handout. As long as your slides are formed in a logical way, i.e. with section, subsections and etc, you can have various types of navigation bars, change the fonts or layouts by just replacing sevral parameters.
listings can be used to include source code in you document, which can be syntaxily highlighted.
subfigure can be used to produce subfigures.
xfig can be used to draw diagrams which are inputed to latex later. To be successful, two things need to be done on xfig sides: set special symbol to ON and font to Latex font. When you finish the drawing, save the file and export it as combined pdf. In latex, use \input to include the figure.
amsmath, amssybol can be used to produce math formular.
Emacs
I have been using emacs to write C++, C, Matlab code, latex document, R code. More is coming.Textbooks
ODE/PDE
- Partial Differential Equations by L. C. Evans
Numerical Mathematics
- General
- Numerical Mathematics by Alfio Quarteroni
- Analysis of Numerical Methods by Eugene Isaacson
- Numerical Methods by Germund Dahlquist
- A First Course in the Numerical Analysis of Differential Equations by Arieh Iseries
- Matrix
- Matrix Computations by Gene H. Golub
- Finite Element
- Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics by Dietrich Braess
- Spectral Method
- Chebyshev and Fourier Spectral Methods by J.P. Boyd
- Spectral Methods in Fluid Mechanics by C. Canuto
- Finite Volume Methods for Hyperbolic Problems by Randall J. LeVeque
- Finite Volume
- Finite Volume Methods for Hyperbolic Problems by Randall J. LeVeque
Probability, Markov Chain, SDE/SPDE...
- Probability Theory
- Probability with Martingales by David Williams
- Probability by Leo Breiman
- Introduction to Probability Models by Sheldon M. Ross
- Markov Chain
- SDE/SPDE
Analysis(Functional/Real)
- Introductory Functional Analysis with applications by Erwin Kreyszig
- Complex Variables by Mark J. Ablowitz
- Introductory Real Analysis by A. N. Kolmogorov
Last Modified: Jan 27, 2008