## Book description

This package includes the printed hardcover book and access to the Navigate 2 Companion Website. 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.

1. Cover
2. Title Page
4. Contents
5. Preface
6. 1 Introduction to Differential Equations
7. 2 First-Order Differential Equations
1. 2.1 Solution Curves Without a Solution
2. 2.2 Separable Equations
3. 2.3 Linear Equations
4. 2.4 Exact Equations
5. 2.5 Solutions by Substitutions
6. 2.6 A Numerical Method
7. 2.7 Linear Models
8. 2.8 Nonlinear Models
9. 2.9 Modeling with Systems of First-Order DEs
10. Chapter 2 in Review
8. 3 Higher-Order Differential Equations
1. 3.1 Theory of Linear Equations
2. 3.2 Reduction of Order
3. 3.3 Linear Equations with Constant Coefficients
4. 3.4 Undetermined Coefficients
5. 3.5 Variation of Parameters
6. 3.6 Cauchy–Euler Equations
7. 3.7 Nonlinear Equations
8. 3.8 Linear Models: Initial-Value Problems
9. 3.9 Linear Models: Boundary-Value Problems
10. 3.10 Green’s Functions
11. 3.11 Nonlinear Models
12. 3.12 Solving Systems of Linear DEs
13. Chapter 3 in Review
9. 4 The Laplace Transform
1. 4.1 Definition of the Laplace Transform
2. 4.2 Inverse Transforms and Transforms of Derivatives
3. 4.3 Translation Theorems
5. 4.5 Dirac Delta Function
6. 4.6 Systems of Linear Differential Equations
7. Chapter 4 in Review
10. 5 Series Solutions of Linear Equations
1. 5.1 Solutions about Ordinary Points
2. 5.2 Solutions about Singular Points
3. 5.3 Special Functions
4. Chapter 5 in Review
11. 6 Numerical Solutions of Ordinary Differential Equations
12. 7 Vectors
13. 8 Matrices
14. 9 Vector Calculus
15. 10 Systems of Linear Differential Equations
1. 10.1 Theory of Linear Systems
2. 10.2 Homogeneous Linear Systems
3. 10.3 Solution by Diagonalization
4. 10.4 Nonhomogeneous Linear Systems
5. 10.5 Matrix Exponential
6. Chapter 10 in Review
16. 11 Systems of Nonlinear Differential Equations
17. 12 Fourier Series
1. 12.1 Orthogonal Functions
2. 12.2 Fourier Series
3. 12.3 Fourier Cosine and Sine Series
4. 12.4 Complex Fourier Series
5. 12.5 Sturm–Liouville Problem
6. 12.6 Bessel and Legendre Series
7. Chapter 12 in Review
18. 13 Boundary-Value Problems in Rectangular Coordinates
19. 14 Boundary-Value Problems in Other Coordinate Systems
20. 15 Integral Transforms
21. 16 Numerical Solutions of Partial Differential Equations
22. 17 Functions of a Complex Variable
23. 18 Integration in the Complex Plane
24. 19 Series and Residues
25. 20 Conformal Mappings
26. Appendices
27. Answers to Selected Odd-Numbered Problems
28. Index

## Product information

• Title: Advanced Engineering Mathematics, 7th Edition
• Author(s): Dennis G. Zill
• Release date: December 2020
• Publisher(s): Jones & Bartlett Learning
• ISBN: 9781284206258