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Applied Partial Differential Equations with Fourier Series and Boundary Fifth
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A book with obvious wear. May have some damage to the cover but integrity still intact. The binding may be slightly damaged but integrity is still intact. Possible writing in margins, possible underlining and highlighting of text, but no missing pages or anything that would compromise the legibility or understanding of the text. See the seller’s listing for full details and description of any imperfections.
- Buy It NowApplied Partial Differential Equations with Fourier Series and Boundary Fifth
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eBay item number:167149004100
Item specifics
- Condition
- ISBN
- 9780321797056
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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- i***d (122)- Feedback left by buyer.Past monthVerified purchaseLet's just say I've bought significant number of Easton Press and Franklin Library books over the past few months. Needless to say, I have not been disappointed with any purchase or with any seller. Whether I've purchased from them once or multiple times. All have been professional, responded to any questions I had, and open to discounts and combined shipping. I recommend them all to others who are seeking collectible books.
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Seller feedback (567)
- i***d (122)- Feedback left by buyer.Past monthVerified purchaseLet's just say I've bought significant number of Easton Press and Franklin Library books over the past few months. Needless to say, I have not been disappointed with any purchase or with any seller. Whether I've purchased from them once or multiple times. All have been professional, responded to any questions I had, and open to discounts and combined shipping. I recommend them all to others who are seeking collectible books.
- e***4 (53)- Feedback left by buyer.Past monthVerified purchaseSeller went above and beyond with communication and packaging. Everything showed up in great condition. This was an excellent value over the other sets for sale on eBay. Favoriting this seller!
- 4***s (678)- Feedback left by buyer.Past monthVerified purchaseGREAT! Quick shipping, just as described, packed well, great price and very happy would buy from again! 5🌟🌟🌟🌟🌟seller!