Fundamentals of differential equations. ([2019])

• Record Type: Book
• Further Information: Note: R. Kent Nagle, Edward B. Saff, Arthur David Snider.
• Authors: Nagle, R. Kent; Saff, E. B, 1944-; Snider, Arthur David, 1940-
• Contents: Cover; Title Page; Copyright Page; Dedicated to R. Kent Nagle; Contents; Preface; Our Goal; New to This Edition; Prerequisites; Sample Syllabi; Retained Features; Technology and Supplements; Acknowledgments; Acknowledgments for the Global Edition; Chapter 1: Introduction; 1.1. Background; 1.2. Solutions and Initial Value Problems; 1.3. Direction Fields; 1.4. The Approximation Method of Euler; Chapter 1: Summary; Review Problems for Chapter 1; Technical Writing Exercises for Chapter 1; Projects for Chapter 1; A. Picard's Method; B. The Phase Line; C. Applications to Economics. D. Taylor Series MethodChapter 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; Chapter 2: Summary; Review Problems for Chapter 2; Technical Writing Exercises for Chapter 2; Projects for Chapter 2; A. Oil Spill in a Canal; B. Differential Equations in Clinical Medicine; C. Torricelli's Law of Fluid Flow; D. The Snowplow Problem; E. Two Snowplows; F. Clairaut Equations and Singular Solutions. G. Multiple Solutions of a First-Order Initial Value ProblemH. Utility Functions and Risk Aversion; I. Designing a Solar Collector; J. Asymptotic Behavior of Solutions to Linear Equations; Chapter 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. Numerical Methods: A Closer Look At Euler's Algorithm; 3.7. Higher-Order Numerical Methods: Taylor and Runge-Kutta; Projects for Chapter 3; A. Dynamics of HIV Infection. B. AquacultureC. Curve of Pursuit; D. Aircraft Guidance in a Crosswind; E. Market Equilibrium: Stability and Time Paths; F. Stability of Numerical Methods; G. Period Doubling and Chaos; Chapter 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 Equations4.9. A Closer Look at Free Mechanical Vibrations; 4.10. A Closer Look at Forced Mechanical Vibrations; Chapter 4: Summary; Review Problems for Chapter 4; Technical Writing Exercises for Chapter 4; Projects for Chapter 4; A. Nonlinear Equations Solvable by First-Order Techniques; B. Apollo Reentry; C. Simple Pendulum; D. Linearization of Nonlinear Problems; E. Convolution Method; F. Undetermined Coefficients Using Complex Arithmetic; G. Asymptotic Behavior of Solutions; H. Gravity Train.
• Edition: Ninth edition, global edition
• Publisher Details: Harlow, United Kingdom : Pearson Education Limited
• Publication Date: 2019
• Extent: 1 online resource
• Subjects: 515/.35; Differential equations -- Textbooks; Electronic books
• Languages: English
• ISBNs: 9781292241470; 1292241470
• Related ISBNs: 1292240997; 9781292240992
• Notes: Note: Description based on online resource; title from digital title page (viewed on January 22, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.