Advanced engineering mathematics /
Dennis G. Zill
- Second edition.
- Sudbury, Massachusetts : Jone and Bartlett Learning, c1999
- xvi, 926 pages : illustrations ; 26 cm.
Includes index.
Ordinary Differential Equations -- Introduction to Differential Equations -- Higher-Order Differential Equations -- The Laplace Transform -- Series Solutions of Linear Equations -- Numerical Solutions of Ordinary Differential Equations -- Vectors, Matrices, and Vector Calculus -- Vectors -- Matrices -- Vector Calculus -- Systems of Differential Equations -- Systems of Linear Differential Equations -- Systems of Nonlinear Differential Equations -- Fourier Series and Partial Differential Equations -- Orthogonal Functions and Fourier Series -- Boundary-Value Problems in Rectangular Coordinates -- Boundary-Value Problems in Other Coordinate Systems -- Integral Transform Method -- Numerical Solutions of Partial Differential Equations -- Complex Analysis -- Functions of a Complex Variable -- Integration in the Complex Plane -- Series and Residues -- Conformal Mappings and Applications.
This text is a compendium of many mathematical topics, all of which are loosely related by the expedient of either being needed or useful in courses and engineering.