Advanced engineering mathematics / Dennis G. Zill, Loyola Marymount University.

Includes index.

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.

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 First-Order 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

Modern and comprehensive, the new sixth edition of award-winning author, Dennis G. Zill?s Advanced Engineering Mathematics is a compendium of topics that are most often covered in courses in engineering mathematics, and is extremely flexible to meet the unique needs of courses ranging from ordinary differential equations, to vector calculus, to partial differential equations. A key strength of this best-selling text is the author?s emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. An accessible writing style and robust pedagogical aids guide students through difficult concepts with thoughtful explanations, clear examples, interesting applications, and contributed project problems.