Advanced Engineering Mathematics: Mathematica Computer Manual Book

Pt. A	Ordinary Differential Equations	1
Ch. 1	First-Order Differential Equations	2
Ch. 2	Linear Differential Equations of Second and Higher Order	64
Ch. 3	Systems of Differential Equations, Phase Plane, Qualitative Methods	146
Ch. 4	Series Solutions of Differential Equations, Special Functions	194
Ch. 5	Laplace Transforms	250
Pt. B	Linear Algebra, Vector Calculus	303
Ch. 6	Linear Algebra: Matrices, Vectors, Determinants. Linear Systems of Equations	304
Ch. 7	Linear Algebra: Matrix Eigenvalue Problems	370
Ch. 8	Vector Differential Calculus. Grad, Div, Curl	400
Ch. 9	Vector Integral Calculus. Integral Theorems	464
Pt. C	Fourier Analysis and Partial Differential Equations	525
Ch. 10	Fourier Series, Integrals, and Transforms	526
Ch. 11	Partial Differential Equations	582
Pt. D	Complex Analysis	651
Ch. 12	Complex Numbers and Functions. Conformal Mapping	652
Ch. 13	Complex Integration	704
Ch. 14	Power Series, Taylor Series	732
Ch. 15	Laurent Series, Residue Integration	770
Ch. 16	Complex Analysis Applied to Potential Theory	798
Pt. E	Numerical Methods	828
Ch. 17	Numerical Methods in General	830
Ch. 18	Numerical Methods in Linear Algebra	886
Ch. 19	Numerical Methods for Differential Equations	942
Pt. F	Optimization, Graphs	989
Ch. 20	Unconstrained Optimization, Linear Programming	990
Ch. 21	Graphs and Combinatorial Optimization	1010
Pt. G	Probability and Statistics	1049
Ch. 22	Data Analysis. Probability Theory	1050
Ch. 23	Mathematical Statistics	1104
	App. 1: References	A1
	App. 2: Answers to Odd-Numbered Problems	A5
	App. 3: Auxiliary Material	A51
	App. 4: Additional Proofs	A65
	App. 5: Tables	A85
	Index	I1