The Resource Advanced engineering mathematics, Dennis G. Zill

# Advanced engineering mathematics, Dennis G. Zill

Label
Title
Statement of responsibility
Dennis G. Zill
Creator
Author
Subject
Language
eng
UMI
Dewey number
620.001/51
Illustrations
illustrations
Index
index present
LC call number
TA330
Literary form
non fiction
Nature of contents
dictionaries
Label
Advanced engineering mathematics, Dennis G. Zill
Publication
Note
Includes index
• net
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
• Cover Page; Title Page; Copyright Page; Contents; Preface; PART 1 Ordinary Differential Equations; 1 Introduction to Differential Equations; 1.1 Definitions and Terminology; 1.2 Initial-Value Problems; 1.3 Differential Equations as Mathematical Models; Chapter 1 in Review; 2 First-Order Differential Equations; 2.1 Solution Curves Without a Solution; 2.1.1 Direction Fields; 2.1.2 Autonomous First-Order DEs; 2.2 Separable Equations; 2.3 Linear Equations; 2.4 Exact Equations; 2.5 Solutions by Substitutions; 2.6 A Numerical Method; 2.7 Linear Models; 2.8 Nonlinear Models
• 2.9 Modeling with Systems of First-Order DEsChapter 2 in Review; 3 Higher-Order Differential Equations; 3.1 Theory of Linear Equations; 3.1.1 Initial-Value and Boundary-Value Problems; 3.1.2 Homogeneous Equations; 3.1.3 Nonhomogeneous 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: Initial-Value Problems; 3.8.1 Spring/Mass Systems: Free Undamped Motion; 3.8.2 Spring/Mass Systems: Free Damped Motion
• 3.8.3 Spring/Mass Systems: Driven Motion3.8.4 Series Circuit Analogue; 3.9 Linear Models: Boundary-Value Problems; 3.10 Green's Functions; 3.10.1 Initial-Value Problems; 3.10.2 Boundary-Value Problems; 3.11 Nonlinear Models; 3.12 Solving Systems of Linear Equations; Chapter 3 in Review; 4 The Laplace Transform; 4.1 Definition of the Laplace Transform; 4.2 The Inverse Transform and Transforms of Derivatives; 4.2.1 Inverse Transforms; 4.2.2 Transforms of Derivatives; 4.3 Translation Theorems; 4.3.1 Translation on the s-axis; 4.3.2 Translation on the t-axis; 4.4 Additional Operational Properties
• 4.4.1 Derivatives of Transforms4.4.2 Transforms of Integrals; 4.4.3 Transform of a Periodic Function; 4.5 The Dirac Delta Function; 4.6 Systems of Linear Differential Equations; Chapter 4 in Review; 5 Series Solutions of Linear Differential Equations; 5.1 Solutions about Ordinary Points; 5.1.1 Review of Power Series; 5.1.2 Power Series Solutions; 5.2 Solutions about Singular Points; 5.3 Special Functions; 5.3.1 Bessel Functions; 5.3.2 Legendre Functions; Chapter 5 in Review; 6 Numerical Solutions of Ordinary Differential Equations; 6.1 Euler Methods and Error Analysis; 6.2 Runge-Kutta Methods
• 6.3 Multistep Methods6.4 Higher-Order Equations and Systems; 6.5 Second-Order Boundary-Value Problems; Chapter 6 in Review; PART 2 Vectors, Matrices, and Vector Calculus; 7 Vectors; 7.1 Vectors in 2-Space; 7.2 Vectors in 3-Space; 7.3 Dot Product; 7.4 Cross Product; 7.5 Lines and Planes in 3-Space; 7.6 Vector Spaces; 7.7 Gram-Schmidt Orthogonalization Process; Chapter 7 in Review; 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; 8.6.1 Finding the Inverse
Control code
ocn963965895
Dimensions
unknown
Edition
Sixth edition
Extent
1 online resource (1 volume)
Form of item
online
Isbn
9781284105971
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
illustrations
cl0500000802
.b36486486
Sound
unknown sound
Specific material designation
remote
System control number
• (OCoLC)963965895
• safari1284105903

#### Library Locations

• Deakin University Library - Geelong Waurn Ponds Campus
75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
-38.195656 144.304955