Advanced engineering mathematics /
Erwin Kreyszig ; in collaboration with Herbert Kreyszig and Edward J. Norminton.
- 10th edition
- Hoboken, NJ : John Wiley, 2011.
- various pagings : ill. ; 27 cm.
Includes bibliographical references and index.
Part A: Ordinary differential equations (ODEs) -- First-order ODEs -- Second-order Linear ODEs -- Higher order linear ODEs -- Systems of ODEs. phase plane. qualitative methods -- Series solutions of ODEs. special functions -- Laplace transforms -- Part B: Linear algebra. Vector calculus -- Linear algebra: matrices, vectors, determinants. linear systems -- Linear Algebra: matrix eigenvalue problems -- Vector differential calculus. grad, div, curl -- Vector integral calculus. itegral theorems -- Part C: Fourier analysis. Partial differential equations (PDEs) -- Fourier analysis -- Partial differential equations (PDEs) -- Part D: Complex analysis -- Complex numbers and functions Complex differentiation -- Complex integration -- Power series, Taylor series -- Laurent series. Residue integration -- Conformal mapping -- Complex analysis and potential theory -- Part E: Numeric Analysis Software -- Numbers in general -- Numeric linear algebra -- Numerics for ODEs and PDEs -- Part F: Optimization, graphs -- Unconstrained optimization. linear programming -- Graphs, combinatorial optimization.