1.Linear Equations and Matrices（1） 1
2.Linear Equations and Matrices（2） 12
3.Roots of Polynomial Equations 20
4.Latent Roots of Matrices 27
5.Finite-difference Methods 36
6.Ordinary Differential Equations（1） 44
7.Ordinary Differential Equations（2） 53
8.Hyperbolio Partial Differential Equations 61
9.Elliptic and Parabolic Partial Differential Equations 72
10.Relaxation Methods 82
11.Tabulation of Mathematical Functions 91
12.Computation of Mathematical Functions 97
APPENDIX 1.Bibliography 104
APPENDIX 2.Example of the use of DEUCE 116
APPENDIX 3.The Mechanical Differential Analyser 123