Book description
Modern and comprehensive, the new sixth edition of Zill’s Advanced Engineering Mathematics is a full compendium of topics that are most often covered in engineering mathematics courses, and is extremely flexible to meet the unique needs of courses ranging from ordinary differential equations to vector calculus. A key strength of this bestselling text is Zill’s emphasis on differential equation as mathematical models, discussing the constructs and pitfalls of each.
Table of contents
 Cover Page
 Title Page
 Copyright Page
 Contents
 Preface

PART 1 Ordinary Differential Equations
 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 Homogeneous 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 Equations
 Chapter 3 in Review
 4 The Laplace Transform
 5 Series Solutions of Linear Differential Equations
 6 Numerical Solutions of Ordinary Differential Equations

PART 2 Vectors, Matrices, and Vector Calculus
 7 Vectors

8 Matrices
 8.1 Matrix Algebra
 8.2 Systems of Linear Algebraic 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 The 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 An 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 and Components of Acceleration
 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 the 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
 PART 3 Systems of Differential Equations
 PART 4 Partial Differential Equations

PART 5 Complex Analysis

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

17 Functions of a Complex Variable
 Appendices
 Answers to Selected OddNumbered Problems
 Index
Product information
 Title: Advanced Engineering Mathematics, 6th Edition
 Author(s):
 Release date: August 2016
 Publisher(s): Jones & Bartlett Learning
 ISBN: 9781284105971
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