ADVANCED ENGINEERING MATHEMATICS
ADVANCED ENGINEERING MATHEMATICS
ERWIN KREYSZIG
: Contents
(Part A. ORDINARY DIFFERENTIAL EQUATIONS (ODEs
CHAPTER 1: First-Order ODEs
CHAPTER 2: Second-Order Linear ODEs
CHAPTER 3: Higher Order Linear ODEs
CHAPTER 4: Systems of ODEs. Phase Plane. Qualitative Methods
CHAPTER 5: Series Solutions of ODEs. Special Functions
CHAPTER 6: Laplace Transform
Part B LINEAR ALGEBRA. VECTOR CALCULUS
CHAPTER 7: Linear Algebra: Matrices, Vectors, Determinants. Linear Systems
CHAPTER 8: Linear Algebra: Matrix Eigenvalue Problems
CHAPTER 9: Vector Differential Calculus. Grad, Div, Curl
CHAPTER 10: Vector Integral Calculus. Integral Theorems
(Part C. FOURIER ANALYSIS. PARTIAL DIFFERENTIAL EQUATIONS (PDEs
CHAPTER 11: Fourier Series, Integrals, and Transforms
(CHAPTER 12: Partial Differential Equations (PDEs
Part D. COMPLEX ANALYSIS
CHAPTER 13: Complex Numbers and Functions
CHAPTER 14: Complex Integration
CHAPTER 15: Power Series, Taylor Series
CHAPTER 16: Laurent Series. Residue Integration
CHAPTER 17: Conformal Mapping
CHAPTER 18: Complex Analysis and Potential Theory
PART E. Numeric Analysis
CHAPTER 19: Numerics in General
CHAPTER 20: Numeric Linear Algebra
CHAPTER 21: Numerics for ODEs and PDEs
Part F. Optimization. Graphs
CHAPTER 22: Unconstrained Optimization. Linear Programming
CHAPTER 23: Graphs. Combinatorial Optimization
Part G. PROBABILITY, STATISTICS
CHAPTER 24: Data Analysis. Probability Theory
CHAPTER 25: Mathematical Statistics
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