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.
Table of contents
 Cover
 Title Page
 Copyright Page
 Contents
 Preface
 1 Introduction to Differential Equations
 2 FirstOrder Differential Equations

3 HigherOrder Differential Equations
 3.1 Theory of Linear Equations
 3.2 Reduction of Order
 3.3 Linear Equations with Constant Coefficients
 3.4 Undetermined Coefficients
 3.5 Variation of Parameters
 3.6 Cauchy–Euler Equations
 3.7 Nonlinear Equations
 3.8 Linear Models: InitialValue Problems
 3.9 Linear Models: BoundaryValue Problems
 3.10 Green’s Functions
 3.11 Nonlinear Models
 3.12 Solving Systems of Linear DEs
 Chapter 3 in Review
 4 The Laplace Transform
 5 Series Solutions of Linear Equations
 6 Numerical Solutions of Ordinary Differential Equations
 7 Vectors

8 Matrices
 8.1 Matrix Algebra
 8.2 Systems of Linear Equations
 8.3 Rank of a Matrix
 8.4 Determinants
 8.5 Properties of Determinants
 8.6 Inverse of a Matrix
 8.7 Cramer’s Rule
 8.8 Eigenvalue Problem
 8.9 Powers of Matrices
 8.10 Orthogonal Matrices
 8.11 Approximation of Eigenvalues
 8.12 Diagonalization
 8.13 LUFactorization
 8.14 Cryptography
 8.15 ErrorCorrecting Code
 8.16 Method of Least Squares
 8.17 Discrete Compartmental Models
 Chapter 8 in Review

9 Vector Calculus
 9.1 Vector Functions
 9.2 Motion on a Curve
 9.3 Curvature
 9.4 Partial Derivatives
 9.5 Directional Derivative
 9.6 Tangent Planes and Normal Lines
 9.7 Curl and Divergence
 9.8 Line Integrals
 9.9 Independence of Path
 9.10 Double Integrals
 9.11 Double Integrals in Polar Coordinates
 9.12 Green’s Theorem
 9.13 Surface Integrals
 9.14 Stokes’ Theorem
 9.15 Triple Integrals
 9.16 Divergence Theorem
 9.17 Change of Variables in Multiple Integrals
 Chapter 9 in Review
 10 Systems of Linear Differential Equations
 11 Systems of Nonlinear Differential Equations
 12 Fourier Series
 13 BoundaryValue Problems in Rectangular Coordinates
 14 BoundaryValue Problems in Other Coordinate Systems
 15 Integral Transforms
 16 Numerical Solutions of Partial Differential Equations

17 Functions of a Complex Variable
 17.1 Complex Numbers
 17.2 Powers and Roots
 17.3 Sets in the Complex Plane
 17.4 Functions of a Complex Variable
 17.5 Cauchy–Riemann Equations
 17.6 Exponential and Logarithmic Functions
 17.7 Trigonometric and Hyperbolic Functions
 17.8 Inverse Trigonometric and Hyperbolic Functions
 Chapter 17 in Review
 18 Integration in the Complex Plane
 19 Series and Residues
 20 Conformal Mappings
 Appendices
 Answers to Selected OddNumbered Problems
 Index
Product information
 Title: Advanced Engineering Mathematics, 7th Edition
 Author(s):
 Release date: December 2020
 Publisher(s): Jones & Bartlett Learning
 ISBN: 9781284206258
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