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Applied Partial Differential Equations with Fourier Series 5e Global Edition
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N.º de artículo de eBay:183193302856
Última actualización el 03 sep 2024 00:52:55 H.EspVer todas las actualizacionesVer todas las actualizaciones
Características del artículo
- Estado
- Educational Level
- College
- Actual ISBN
- 9780321828972
- Product Type
- Textbookf
- Book Format
- Softcover
- Version
- Global Edition
- ISBN
- 9780321797056
Acerca de este producto
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
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- n***n (188)- Votos emitidos por el comprador.Hace más de un añoCompra verificadaContent is the same. Shipping and packaging was decent. However, some equations look very blurry comparing to the hardcover version. The print quality is just a little bit not acceptable. Good thing is I care more about math than the print quality.
- 8***r (7)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaI was searching for this book for a while and was appalled at the cost. I came across this seller and I was happy with the price from the seller. The seller messaged to let me know that this was the global version before it was actually shipped. That, I appreciated so much. My book arrived in perfect condition, looks great. The packaging was secure and the book, brand new. This is of great quality both in the service and the book. I will definitely use this seller again. Excellent!
- i***a (1)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaExactly what I ordered, came within the requested delivery date, and in great condition. It was wrapped so well that even though the corner had a very small dent in it, the book inside the package was in perfect condition. For anyone wondering, this seller is LEGIT and offers excellent service.Signals Systems & Transforms 5e Global Edition (#183193298669)
- l***u (9)- Votos emitidos por el comprador.Último añoCompra verificadaItem came exactly as describe. I really appreciate the time and caution the seller took to package this book. There was no way it could've received any water damage delivery because it was so well wrapped. The book came sooner than the expected date. At one point I even received a later date and that made me concerned because I thought it wouldn't come in time. But it did, very early as well. I recommend this seller 100% and would purchase from seller in the future if needed. Thank you so much!!The Science Of Psychology: An Appreciative View 6th Global Edition (#186630729832)
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92,5% de votos positivos•98 mil artículos vendidos
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Votos de vendedor (11.080)
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Todos los artículos (11.080)
- n***n (188)- Votos emitidos por el comprador.Hace más de un añoCompra verificadaContent is the same. Shipping and packaging was decent. However, some equations look very blurry comparing to the hardcover version. The print quality is just a little bit not acceptable. Good thing is I care more about math than the print quality.
- 8***r (7)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaI was searching for this book for a while and was appalled at the cost. I came across this seller and I was happy with the price from the seller. The seller messaged to let me know that this was the global version before it was actually shipped. That, I appreciated so much. My book arrived in perfect condition, looks great. The packaging was secure and the book, brand new. This is of great quality both in the service and the book. I will definitely use this seller again. Excellent!
- i***a (1)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaExactly what I ordered, came within the requested delivery date, and in great condition. It was wrapped so well that even though the corner had a very small dent in it, the book inside the package was in perfect condition. For anyone wondering, this seller is LEGIT and offers excellent service.Signals Systems & Transforms 5e Global Edition (#183193298669)
- l***u (9)- Votos emitidos por el comprador.Último añoCompra verificadaItem came exactly as describe. I really appreciate the time and caution the seller took to package this book. There was no way it could've received any water damage delivery because it was so well wrapped. The book came sooner than the expected date. At one point I even received a later date and that made me concerned because I thought it wouldn't come in time. But it did, very early as well. I recommend this seller 100% and would purchase from seller in the future if needed. Thank you so much!!The Science Of Psychology: An Appreciative View 6th Global Edition (#186630729832)