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[이벤트도서]Differential Equations, 2nd - Pearson EDUCATION KOREA  무료배송

 
지은이 : Polking, Boggess, Arnold
출판사 : Prentice Hall
판수 : 2nd(2016)
페이지수 : 656
ISBN : 978-89-450-4917-9
예상출고일 : 입금확인후 2일 이내
주문수량 :
도서가격 : 49,000원 -> 44,100원 ( 무료배송 )
     

 
David Arnold was Assistant Professor of Business Administration at the Harvard Business School and head of its International Marketing Management course. Now an independent consultant and educator, he specializes in international marketing, branding, market analysis, and strategy formulation. His innovative recent work has appeared in Harvard Business Review, Journal of International Business Studies, Sloan Management Review, California Management Review, and the Marketing Science Institute working paper series. He has served as visiting or resident faculty member at leading business schools in Great Britain, Japan, Switzerland, Spain, Argentina, Finland, India, and Pakistan. Arnold's previous book, The Handbook of Brand Management, has been published in 10 languages.
1 Introduction to Differential Equations
1.1 Differential Equation Models
1.2 The Derivative
1.3 Integration

2 First-Order Equations
2.1 Differential Equations and Solutions
2.2 Solutions to Separable Equations
2.3 Models of Motion
2.4 Linear Equations
2.5 Mixing Problems
2.6 Exact Differential Equations
2.7 Existence and Uniqueness of Solutions
2.8 Dependence of Solutions on Initial Conditions
2.9 Autonomous Equations and Stability
Project 2.10 The Daredevil Skydiver

3 Modeling and Applications
3.1 Modeling Population Growth
3.2 Models and the Real World
3.3 Personal Finance
3.4 Electrical Circuits
Project 3.5 The spruce Budworm
Project 3.6 Social Security, Now or Later

4 Second-Order Equations
4.1 Definitions and Examples
4.2 Second-Order Equations and Systems
4.3 Linear, Homogeneous Equations with Constant Coefficients
4.4 Harmonic Motion
4.5 Inhomogeneous Equations ; the Method of Undetermined Coefficiensts
4.6 Variation of Parameters
4.7 Forced Harmonic Motion
Project 4.8 Nonlinear Oscillators

5 The Laplace Transform
5.1 The Definition of the Laplace Transform
5.2 Basic Properties of the Laplace Transform
5.3 The Inverse Laplace Transform
5.4 Using the Laplace Transform to Solve Differential Equations
5.5 Discontinuous Forcing Terms
5.6 The Delta Function
5.7 Convolutions
5.8 Summary
Project 5.9 Forced Harmonic Oscillators

6 Numerical Methods
6.1 Euler's Method
6.2 Runge-Kutta Methods
6.3 Numerical Error Comparisons
6.4 Practical Use of Solvers
Project 6.5 Numerical Error Comparison

7 Matrix Algebra
7.1 Vectors and Matrices
7.2 Systems of Linear Equations with Two or Three Variables
7.3 Solving Systems of Equations
7.4 Homogeneous and Inhomogeneous Systems
7.5 Bases of a Subspace
7.6 Square Matrices
7.7 Determinants

8 An Introduction to Systems
8.1 Definitions and Examples
8.2 Geometric Interpretation of Solutions
8.3 Qualitative Analysis
8.4 Linear Systems
8.5 Properties of Linear Systems
Project 8.6 Long-Term Behavior of Solutions

9 Linear Systems with Constant Coefficienst
9.1Overview of the Technique
9.2 Planar Systems
9.3 Phase Plane Portraits
9.4 The Trace-Determinant Plane
9.5 Higher-Dimensional Systems
9.6 The Exponential of Matrix
9.7 Qualitative Analysis of Linear Systems
9.8 Higer-Order Linear Equations
9.9 Inhomogeneous Linear Systems
Project 9.10 Phase Plane Portraits
Project 9.11 Oscillations of Linear Molecules

10 Nonlinear Systems
10.1 The Linearization of a Nonlinear System
10.2 Long-Term Behavior of Solutions
10.3 Invariant Sets and the Use of Nullclines
10.4 Long-Term Behavior of Solutions to Planar Systems
10.5 Conserved Quantities
10.6 Nonlinear Mechanics
10.7 The Method of Lyapunov
10.8 Predator-Prey Systems
Project 10.9 Human lmmune Response to Infectious Disease
Project 10.10 Analysis of Competing Species

11 Series Solutions to Differential Equations
11.1 Review of Power Series
11.2 Series Solutions Near Ordinary Points
11.3 Legendre's Equation
11.4 Types of singular Points-Euler's Equation
11.5 Series Solutions Near Regular Singular Points
11.6 Series Solutions Near Regular Singular
11.7 Bessel's Equation and Bessel Functions

Appendix Complex Numbers and Matrices

Answers to Odd-Numbered Problems

Index
Introduction to Partial Di...
-Zachmanoglou-
 
 
Real Analysis Modern Techn...
-Folland-
 
 
A First Course in Abstract...
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