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Advanced Engineering Mathematics 7ed
Part A. ORDINARY DIFFERENTIAL EQUATIONS (1-324) :
Chapter 1 First Order Differential Equations , 2-61
Chapter 2 Second Order Linear Differential Equations
, 62-127
Chapter 3 Higher Order Linear Differential Equations
, 128-151
Chapter 4 Systems of Differential Equations.
Phase Plane, Stability 152-196
Chapter 5 Series Solutions of Differential Equations.
Special Functions , 197-260
Chapter 6 Laplace Transforms , 261-324.
Part B. LINEAR ALGEBRA, VECTOR CALCULUS (325-564) :
Chapter 7 Linear Algebra: Matrices, Vectors, Determinants
, 326-427
Chapter 8 Vector Differential Calculus.
Grad, Div, Curl , 428-499
Chapter 9 Vector Integral Calculus.Integral Theorems
, 500-564.
Part C. FOURIER ANALYSIS & PARTIAL DIFFERENTIAL EQUATIONS(565-704)
Chapter 10 Fourier Series, Integrals, & Transforms,566-625
Chapter 11 Partial Differential Equations , 626-704.
Part D. COMPLEX ANALYSIS (705-915) :
Chapter 12 Complex Numbers, Complex Analytic Functions
, 706-750
Chapter 13 Complex Integration , 751-780
Chapter 14 Power Series, Taylor Series, Laurent Series,781
Chapter 15 Residue Integration Method , 837-858
Chapter 16 Conformal Mapping , 859-884
Chapter 17 Complex Analysis Applied to Potential Theory885
Part E. NUMERICAL METHODS (916-1082) :
Chapter 18 Numerical Methods in General , 918-971
Chapter 19 Numerical Methods in Linear Algebra , 972-1033
Chapter 20 Numerical Methods for Differential Equations
, 1034.
Part F. OPTIMIZATION, GRAPHS (1083-1147) :
Chapter 21 Unconstrained Optimization, Linear Programming
, 1084-1104
Chapter 22 Graphs & Combinatorial Optimization , 1105-1147
Part G. PROBABILITY & STATISTICS (1148-1271) :
Chapter 23 Probability Theory , 1149-1204
Chapter 24 Mathematical Statistics , 1205-1271.
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