Modern and comprehensive, the new sixth edition of awardwinning 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 bestselling 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.

Part 1 Ordinary Differential Equations Chapter 1 Introduction to Differential Equations Chapter 2 FirstOrder Differential Equations Chapter 3 HigherOrder 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 FirstOrder Differential Equations Chapter 11 Systems of Nonlinear Differential Equations Part 4 Partial Differential Equations Chapter 12 Orthogonal Functions and Fourier Series Chapter 13 BoundaryValue Problems in Rectangular Coordinates Chapter 14 BoundaryValue 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
