Elementary Differential Equations with Boundary Value Problems 2nd Ed Kohler

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Estado
En buen estado: Libro que se ha leído pero que está en buen estado. Daños mínimos en la tapa, ...
Brand
Unbranded
Book Title
Elementary Differential Equations with Boundary Value Problems (
MPN
Does not apply
ISBN
9780321288356
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Product Identifiers

Publisher
Pearson Education
ISBN-10
0321288351
ISBN-13
9780321288356
eBay Product ID (ePID)
112142023

Product Key Features

Number of Pages
800 Pages
Publication Name
Elementary Differential Equations with Boundary Value Problems
Language
English
Subject
Differential Equations / General, General
Publication Year
2011
Type
Textbook
Subject Area
Mathematics
Author
Werner Kohler, Lee Johnson
Format
Trade Paperback

Dimensions

Item Height
0.4 in
Item Weight
56.4 Oz
Item Length
0.4 in
Item Width
0.4 in

Additional Product Features

Edition Number
2
Intended Audience
College Audience
LCCN
2005-045849
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
515/.35
Table Of Content
Table of Contents INTRODUCTION TO DIFFERENTIAL EQUATIONS 1.1 Examples of Differential Equations 1.2 Direction Fields FIRST ORDER DIFFERENTIAL EQUATIONS 2.1 Introduction 2.2 First Order Linear Differential Equations 2.3 Introduction to Mathematical Models 2.4 Population Dynamics and Radioactive Decay 2.5 First Order Nonlinear Differential Equations 2.6 Separable First Order Equations 2.7 Exact Differential Equations 2.8 The Logistic Population Model 2.9 Applications to Mechanics 2.10 Euler''s Method 2.11 Review Exercises SECOND AND HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS 3.1 Introduction 3.2 The General Solution of Homogeneous Equations 3.3 Constant Coefficient Homogeneous Equations 3.4 Real Repeated Roots; Reduction of Order 3.5 Complex Roots 3.6 Unforced Mechanical Vibrations 3.7 The General Solution of a Linear Nonhomogeneous Equation 3.8 The Method of Undetermined Coefficients 3.9 The Method of Variation of Parameters 3.10 Forced Mechanical Vibrations, Electrical Networks, and Resonance 3.11 Higher Order Linear Homogeneous Differential Equations 3.12 Higher Order Homogeneous Constant Coefficient Differential Equations 3.13 Higher Order Linear Nonhomogeneous Differential Equations 3.14 Review Exercises FIRST ORDER LINEAR SYSTEMS 4.1 Introduction 4.2 Existence and Uniqueness 4.3 Homogeneous Linear Systems 4.4 Constant Coefficient Homogeneous Systems and the Eigenvalue Problem 4.5 Real Eigenvalues and the Phase Plane 4.6 Complex Eigenvalues 4.7 Repeated Eigenvalues 4.8 Nonhomogeneous Linear Systems 4.9 Numerical Methods for Systems of Differential Equations 4.10 The Exponential Matrix and Diagonalization 4.11 Review Exercises LAPLACE TRANSFORMS 5.1 Introduction 5.2 Laplace Transform Pairs 5.3 The Method of Partial Fractions 5.4 Laplace Transforms of Periodic Functions and System Transfer Functions 5.5 Solving Systems of Differential Equations 5.6 Convolution 5.7 The Delta Function and Impulse Response NONLINEAR SYSTEMS 6.1 Introduction 6.2 Equilibrium Solutions and Direction Fields 6.3 Conservative Systems 6.4 Stability 6.5 Linearization and the Local Picture 6.6 Two-Dimensional Linear Systems 6.7 Predator-Prey Population Models NUMERICAL METHODS 7.1 Euler''s Method, Heun''s Method, the Modified Euler''s Method 7.2 Taylor Series Methods 7.3 Runge-Kutta Methods SERIES SOLUTION OF DIFFERENTIAL EQUATIONS 8.1 Introduction 8.2 Series Solutions near an Ordinary Point 8.3 The Euler Equation 8.4 Solutions Near a Regular Singular Point and the Method of Frobenius 8.5 The Method of Frobenius Continued; Special Cases and a Summary SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS AND FOURIER SERIES 9.1 Heat Flow in a Thin Bar. Separation of Variables 9.2 Series Solutions 9.3 Calculating the Solution 9.4 Fourier Series 9.5 The Wave Equation 9.6 Laplace''s Equation 9.7 Higher-Dimensional Problems; Nonhomogeneous Equations FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS AND THE METHOD OF CHARACTERISTICS 10.1 The Cauchy Problem 10.2 Existence and Uniqueness 10.3 The Method of Characteristics LINEAR TWO-POINT BOUNDARY VALUE PROBLEMS 11.1 Existence and Uniqueness 11.2 Two-Point Boundary Value Problems for Linear Systems 11.3 Sturm-Liouville Boundary Value Problems
Synopsis
Elementary Differential Equations with Boundary Value Problems integrates the underlying theory, the solution procedures, and the numerical/computational aspects of differential equations in a seamless way. For example, whenever a new type of problem is introduced (such as first-order equations, higher-order equations, systems of differential equations, etc.) the text begins with the basic existence-uniqueness theory. This provides the student the necessary framework to understand and solve differential equations. Theory is presented as simply as possible with an emphasis on how to use it. The Table of Contents is comprehensive and allows flexibility for instructors., Elementary Differential Equations with Boundary Value Problems integrates the underlying theory, the solution procedures, and the numerical/computational aspects of differential equations in a seamless way that provides students with the necessary framework to understand and solve differential equations. Theory is presented as simply as possible with an emphasis on how to use it. KEY TOPICS: With an emphasis on linear equations, linear and nonlinear equations (first order and higher order) are treated in separate chapters. In developing mathematical models, this text guides the student carefully through the underlying physical principles leading to the relevant mathematics. Asking students to use common sense, intuition, and 'back-of-the-envelope' checks as well as challenging them to anticipate and interpret the physical content of the solution encourage critical thinking. MARKET Intended for use in introductory course in differential equations that includes boundary value problems.
LC Classification Number
QA371.K855 2003

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