Table of Contents:

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 Equations
Chapter 6 Numerical Solutions of Ordinary Differential Equations
Chapter 7 Vectors
Chapter 8 Matrices
Chapter 9 Vector Calculus
Chapter 10 Systems of Linear Differential Equations
Chapter 11 Systems of Nonlinear Differential Equations
Chapter 12 Fourier Series
Chapter 13 Boundary-Value Problems in Rectangular Coordinates
Chapter 14 Boundary-Value Problems in Other Coordinate Systems
Chapter 15 Integral Transforms
Chapter 16 Numerical Solutions of Partial Differential Equations
Chapter 17 Functions of a Complex Variable
Chapter 18 Integration in the Complex Plane
Chapter 19 Series and Residues
Chapter 20 Conformal Mappings

Appendix
Problems exercise
Index

The seventh edition of Advanced Engineering Mathematics provides learners with a modern and comprehensive 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.

Acclaimed author, Dennis G. Zill's accessible writing style and strong pedagogical aids, guide students through difficult concepts with thoughtful explanations, clear examples, interesting applications, and contributed project problems.