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Mathematical methods for physics and engineering (1: PRELIMINARY ALGEBRA,…
Mathematical methods for physics and engineering
1: PRELIMINARY ALGEBRA
2: PRELIMINARY CALCULUS
3: COMPLEX NUMBERS AND HYPERBOLIC FUNCTIONS
4: SERIES AND LIMITS
5: PARTIAL DIFFERENTIATION
6: MULTIPLE INTEGRALS
7: VECTOR ALGEBRA
8: MATRICES AND VECTOR SPACES
9: NORMAL MODES
10: VECTOR CALCULUS
11: LINE, SURFACE AND VOLUME INTEGRALS
12: FOURIER SERIES
13: INTEGRAL TRANSFORMS
14: FIRST-ORDER ORDINARY DIFFERENTIAL EQUATION
15: HIGHER-ORDER ORDINARY DIFFERENTIAL EQUATIONS
16: SERIES SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
17: EIGENFUNCTION METHODS FOR DIFFERENTIAL EQUATIONS
18: SPECIAL FUNCTIONS
19: QUANTUM OPERATORS
20: PARTIAL DIFFERENTIATION EQUATIONS: GENERAL AND PARTICULAR SOLUTIONS
21: PARTIAL DIFFERENTIAL EQUATIONS: SEPARATION OF VARIABLES AND OTHER METHODS
22: CALCULUS OF VARIATIONS
23: INTEGRAL EQUATIONS
24:COMPLEX VARIABLES
25: APPLICATIONS OF COMPLEX VARIABLES
26: TENSORS
27: NUMERICAL METHODS
28: GROUP THEORY
29: REPRESENTATION THEORY
30: PROBABILITY
31: STATISTICS