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Fundamentals of Differential Equations by Edward Saff, R. Nagle and Arthur...
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eBay item number:386007603083
Item specifics
- Condition
- ISBN
- 9780321977069
- Publication Year
- 2017
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Fundamentals of Differential Equations
- Item Height
- 1.3in
- Item Length
- 10.3in
- Publisher
- Pearson Education
- Item Width
- 8.5in
- Item Weight
- 52.2 Oz
- Number of Pages
- 720 Pages
About this product
Product Information
For one-semester sophomore- or junior-level courses in Differential Equations. An introduction to the basic theory and applications of differential equations Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. This flexible text allows instructors to adapt to various course emphases (theory, methodology, applications, and numerical methods) and to use commercially available computer software. For the first time, MyLab(tm) Math is available for this text, providing online homework with immediate feedback, the complete eText, and more. Note that a longer version of this text, entitled Fundamentals of Differential Equations and Boundary Value Problems, 7th Edition , contains enough material for a two-semester course. This longer text consists of the main text plus three additional chapters (Eigenvalue Problems and Sturm--Liouville Equations; Stability of Autonomous Systems; and Existence and Uniqueness Theory). Also available with MyLab Math MyLab(tm) Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. Students, if interested in purchasing this title with MyLab Math, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.
Product Identifiers
Publisher
Pearson Education
ISBN-10
0321977068
ISBN-13
9780321977069
eBay Product ID (ePID)
234451120
Product Key Features
Publication Name
Fundamentals of Differential Equations
Format
Hardcover
Language
English
Publication Year
2017
Type
Textbook
Number of Pages
720 Pages
Dimensions
Item Length
10.3in
Item Height
1.3in
Item Width
8.5in
Item Weight
52.2 Oz
Additional Product Features
Lc Classification Number
Qa371.N24 2018
Edition Number
9
Table of Content
1. Introduction 1.1 Background 1.2 Solutions and Initial Value Problems 1.3 Direction Fields 1.4 The Approximation Method of Euler 2. First-Order Differential Equations 2.1 Introduction: Motion of a Falling Body 2.2 Separable Equations 2.3 Linear Equations 2.4 Exact Equations 2.5 Special Integrating Factors 2.6 Substitutions and Transformations 3. Mathematical Models and Numerical Methods Involving First Order Equations 3.1 Mathematical Modeling 3.2 Compartmental Analysis 3.3 Heating and Cooling of Buildings 3.4 Newtonian Mechanics 3.5 Electrical Circuits 3.6 Improved Euler''s Method 3.7 Higher-Order Numerical Methods: Taylor and Runge-Kutta 4. Linear Second-Order Equations 4.1 Introduction: The Mass-Spring Oscillator 4.2 Homogeneous Linear Equations: The General Solution 4.3 Auxiliary Equations with Complex Roots 4.4 Nonhomogeneous Equations: The Method of Undetermined Coefficients 4.5 The Superposition Principle and Undetermined Coefficients Revisited 4.6 Variation of Parameters 4.7 Variable-Coefficient Equations 4.8 Qualitative Considerations for Variable-Coefficient and Nonlinear Equations 4.9 A Closer Look at Free Mechanical Vibrations 4.10 A Closer Look at Forced Mechanical Vibrations 5. Introduction to Systems and Phase Plane Analysis 5.1 Interconnected Fluid Tanks 5.2 Elimination Method for Systems with Constant Coefficients 5.3 Solving Systems and Higher-Order Equations Numerically 5.4 Introduction to the Phase Plane 5.5 Applications to Biomathematics: Epidemic and Tumor Growth Models 5.6 Coupled Mass-Spring Systems 5.7 Electrical Systems 5.8 Dynamical Systems, Poincaré Maps, and Chaos 6. Theory of Higher-Order Linear Differential Equations 6.1 Basic Theory of Linear Differential Equations 6.2 Homogeneous Linear Equations with Constant Coefficients 6.3 Undetermined Coefficients and the Annihilator Method 6.4 Method of Variation of Parameters 7. Laplace Transforms 7.1 Introduction: A Mixing Problem 7.2 Definition of the Laplace Transform 7.3 Properties of the Laplace Transform 7.4 Inverse Laplace Transform 7.5 Solving Initial Value Problems 7.6 Transforms of Discontinuous Functions 7.7 Transforms of Periodic and Power Functions 7.8 Convolution 7.9 Impulses and the Dirac Delta Function 7.10 Solving Linear Systems with Laplace Transforms 8. Series Solutions of Differential Equations 8.1 Introduction: The Taylor Polynomial Approximation 8.2 Power Series and Analytic Functions 8.3 Power Series Solutions to Linear Differential Equations 8.4 Equations with Analytic Coefficients 8.5 Cauchy-Euler (Equidimensional) Equations 8.6 Method of Frobenius 8.7 Finding a Second Linearly Independent Solution 8.8 Special Functions 9. Matrix Methods for Linear Systems 9.1 Introduction 9.2 Review 1: Linear Algebraic Equations 9.3 Review 2: Matrices and Vectors 9.4 Linear Systems in Normal Form 9.5 Homogeneous Linear Systems with Constant Coefficients 9.6 Complex Eigenvalues 9.7 Nonhomogeneous Linear Systems 9.8 The Matrix Exponential Function 10. Partial Differential Equations 10.1 Introduction: A Model for Heat Flow 10.2 Method of Separation of Variables 10.3 Fourier Series 10.4 Fourier Cosine and Sine Series 10.5 The Heat Equation 10.6 The Wave Equation 10.7 Laplace''s Equation Appendices Newton''s Method Simpson''s Rule Cramer''s Rule Method of Least Squares Runge-Kutta Procedure for n Equations
Copyright Date
2018
Topic
Differential Equations / General, General
Lccn
2016-030706
Dewey Decimal
515/.35
Intended Audience
College Audience
Dewey Edition
23
Illustrated
Yes
Genre
Mathematics
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