內容簡介
Every new print copy includes access to the Navigate Student Companion Website where students will find a wealth of learning and study tools to help them succeed in their course, including:●Projects and Applications contributed by experts in the field●Two additional chapters on Probability and Statistics
作者介紹
Dennis Zill received a PhD in Applied Mathematics from Iowa State University, and is a former professor of Mathematics at Loyola Marymount University in Los Angeles, Loras College in Iowa, and California Polytechnic State University. He is also the former chair of the Mathematics department at Loyola Marymount University, where he currently holds a rank as Professor Emeritus of Mathematics. Zill holds interests in astronomy, modern literature, music, golf, and good wine, while his research interests include Special Functions, Differential Equations, Integral Transformations, and Complex Analysis.
目次
Part 1 Ordinary Differential Equations Chapter 1 Introduction to Differential Equations Chapter 2 First-Order Differential Equations Chapter 3 Higher-Order Differential Equations Chapter 4 The Laplace Transform Chapter 5 Series Solutions of Linear Differential Equations Chapter 6 Numerical Solutions of Ordinary Differential Equations Part 2 Vectors, Matrices, and Vector Calculus Chapter 7 Vectors Chapter 8 Matrices Chapter 9 Vector Calculus Part 3 Systems of Differential Equations Chapter 10 Systems of Linear Differential Equations Chapter 11 Systems of Nonlinear Differential Equations Part 4 Partial Differential Equations Chapter 12 Orthogonal Functions and Fourier Series Chapter 13 Boundary-Value Problems in Rectangular Coordinates Chapter 14 Boundary-Value Problems in Other Coordinate Systems Chapter 15 Integral Transform Method Chapter 16 Numerical Solutions of Partial Differential Equations Part 5 Complex Analysis Chapter 17 Functions of a Complex Variable Chapter 18 Integration in the Complex Plane Chapter 19 Series and Residues Chapter 20 Conformal Mappings