Advanced engineering mathematics /
Erwin Kreyszig.
- 9th edition
- Hoboken, NJ : John Wiley, c2007.
- xvii, various pages : ill.(some col.) ; 26 cm.
CONTENT
PART A: Ordinary differential equations 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 transforms
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 Chapter 11: Fourier series, integrals and transforms Chapter 12: Partial differential equations
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 and statistics Chapter 24: Data analysis. Probability theory Chapter 25: Mathematical statistics