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Applied Partial Differential Equations with Fourier Series and Boundary Value HC
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- Buy It NowApplied Partial Differential Equations with Fourier Series and Boundary Value HC
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eBay item number:365430957181
Item specifics
- Condition
- Publication Date
- 2012-09-24
- Book Title
- Applied Partial Differential Equations with Fourier Series and Bo
- Educational Level
- Adult & Further Education
- Edition Number
- 5
- ISBN
- 9780321797056
- Subject Area
- Mathematics
- Publication Name
- Applied Partial Differential Equations with Fourier Series and Boundary Value Problems
- Publisher
- Addison Wesley
- Item Length
- 9.2 in
- Subject
- Differential Equations / General, General, Differential Equations / Partial, Mathematical Analysis
- Publication Year
- 2012
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1.8 in
- Features
- Revised
- Item Weight
- 54.4 Oz
- Item Width
- 7.6 in
- Number of Pages
- 792 Pages
About this product
Product Identifiers
Publisher
Addison Wesley
ISBN-10
0321797051
ISBN-13
9780321797056
eBay Product ID (ePID)
117268669
Product Key Features
Number of Pages
792 Pages
Publication Name
Applied Partial Differential Equations with Fourier Series and Boundary Value Problems
Language
English
Publication Year
2012
Subject
Differential Equations / General, General, Differential Equations / Partial, Mathematical Analysis
Features
Revised
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Height
1.8 in
Item Weight
54.4 Oz
Item Length
9.2 in
Item Width
7.6 in
Additional Product Features
Edition Number
5
Intended Audience
College Audience
LCCN
2012-013033
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
515/.353
Table Of Content
Normal 0 false false false 1. Heat Equation 1.1 Introduction 1.2 Derivation of the Conduction of Heat in a One-Dimensional Rod 1.3 Boundary Conditions 1.4 Equilibrium Temperature Distribution 1.4.1 Prescribed Temperature 1.4.2 Insulated Boundaries 1.5 Derivation of the Heat Equation in Two or Three Dimensions 2. Method of Separation of Variables 2.1 Introduction 2.2 Linearity 2.3 Heat Equation with Zero Temperatures at Finite Ends 2.3.1 Introduction 2.3.2 Separation of Variables 2.3.3 Time-Dependent Equation 2.3.4 Boundary Value Problem 2.3.5 Product Solutions and the Principle of Superposition 2.3.6 Orthogonality of Sines 2.3.7 Formulation, Solution, and Interpretation of an Example 2.3.8 Summary 2.4 Worked Examples with the Heat Equation: Other Boundary Value Problems 2.4.1 Heat Conduction in a Rod with Insulated Ends 2.4.2 Heat Conduction in a Thin Circular Ring 2.4.3 Summary of Boundary Value Problems 2.5 Laplace''s Equation: Solutions and Qualitative Properties 2.5.1 Laplace''s Equation Inside a Rectangle 2.5.2 Laplace''s Equation for a Circular Disk 2.5.3 Fluid Flow Past a Circular Cylinder (Lift) 2.5.4 Qualitative Properties of Laplace''s Equation 3. Fourier Series 3.1 Introduction 3.2 Statement of Convergence Theorem 3.3 Fourier Cosine and Sine Series 3.3.1 Fourier Sine Series 3.3.2 Fourier Cosine Series 3.3.3 Representing f(x) by Both a Sine and Cosine Series 3.3.4 Even and Odd Parts 3.3.5 Continuous Fourier Series 3.4 Term-by-Term Differentiation of Fourier Series 3.5 Term-By-Term Integration of Fourier Series 3.6 Complex Form of Fourier Series 4. Wave Equation: Vibrating Strings and Membranes 4.1 Introduction 4.2 Derivation of a Vertically Vibrating String 4.3 Boundary Conditions 4.4 Vibrating String with Fixed Ends 4.5 Vibrating Membrane 4.6 Reflection and Refraction of Electromagnetic (Light) and Acoustic (Sound) Waves 4.6.1 Snell''s Law of Refraction 4.6.2 Intensity (Amplitude) of Reflected and Refracted Waves 4.6.3 Total Internal Reflection 5. Sturm-Liouville Eigenvalue Problems 5.1 Introduction 5.2 Examples 5.2.1 Heat Flow in a Nonuniform Rod 5.2.2 Circularly Symmetric Heat Flow 5.3 Sturm-Liouville Eigenvalue Problems 5.3.1 General Classification 5.3.2 Regular Sturm-Liouville Eigenvalue Problem 5.3.3 Example and Illustration of Theorems 5.4 Worked Example: Heat Flow in a Nonuniform Rod without Sources 5.5 Self-Adjoint Operators and Sturm-Liouville Eigenvalue Problems 5.6 Rayleigh Quotient 5.7 Worked Example: Vibrations of a Nonuniform String 5.8 Boundary Conditions of the Third Kind 5.9 Large Eigenvalues (Asymptotic Behavior) 5.10 Approximation Properties 6. Finite Difference Numerical Methods for Partial Differential Equations 6.1 Introduction 6.2 Finite Differences and Truncated Taylor Series 6.3 Heat Equation 6.3.1 Introduction 6.3.2 A Partial Difference Equation 6.3.3 Computations 6.3.4 Fourier-von Neumann Stability Analysis 6.3.5 Separation of Variables for Partial Difference Equations and Analytic Solutions of Ordinary Difference Equations 6.3.6 Matrix Notation 6.3.7 Nonhomogeneous Problems 6.3.8 Other Numerical Schemes 6.3.9 Other Types of Boundary Conditions 6.4 Two-Dimensional Heat Equation 6.5 Wave Equation 6.6 Laplace''s Equation 6.7 Finite Element Method 6.7.1 Approximation with Nonorthogonal Functions (Weak Form of the Partial Differential Equation) 6.7.2 The Simplest Triangular Finite Elements 7. Higher Dimensional Partial Differential Equations 7.1 Introduction 7.2 Separation of the Time Variable 7.2.1 Vibrating Membrane: Any Shape 7.2.2 Heat Conduction: Any Region 7.2.3 Summary 7.3 Vibrating Rectangular Membrane 7.4 Statements and Illustrations of Theorems for the Eigenvalue Problem 2 + = 0 7.5 Green''s Formula, Self-Adjoint Operators and Multidimensional Eigenvalue Problems 7.6 Rayleigh Quotient and Laplace''s Equation 7.6.1 Rayleigh Quotient 7.6.2 Time-Dependent Heat Equation and Laplace''s Equation
Edition Description
Revised edition
Synopsis
This book emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics., Normal 0 false false false This book emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics.
LC Classification Number
QA377
Item description from the seller
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