Fundamentals of Differential Equations and Boundary Value Problems

Pearson New International Edition

Häftad, Engelska, 2013

1 120 kr

Beställningsvara. Skickas inom 7-10 vardagar. Fri frakt över 249 kr.

Beskrivning

Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. Available in two versions, these flexible texts offer the instructor many choices in syllabus design, course emphasis (theory, methodology, applications, and numerical methods), and in using commercially available computer software. Fundamentals of Differential Equations, Eighth Edition is suitable for a one-semester sophomore- or junior-level course. Fundamentals of Differential Equations with Boundary Value Problems,'Sixth Edition, contains enough material for a two-semester course that covers and builds on boundary value problems. The Boundary Value Problems version consists of the main text plus three additional chapters (Eigenvalue Problems and Sturm-Liouville Equations; Stability of Autonomous Systems; and Existence and Uniqueness Theory).

Produktinformation

Utgivningsdatum:2013-08-06
Mått:215 x 275 x 30 mm
Vikt:1 846 g
Format:Häftad
Språk:Engelska
Antal sidor:872
Upplaga:6
Förlag:Pearson Education
ISBN:9781292023564

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

1. Introduction1.1 Background1.2 Solutions and Initial Value Problems1.3 Direction Fields1.4 The Approximation Method of EulerChapter SummaryTechnical Writing ExercisesGroup Projects for Chapter 1A. Taylor Series MethodB. Picard's MethodC. The Phase Line 2. First-Order Differential Equations2.1 Introduction: Motion of a Falling Body2.2 Separable Equations2.3 Linear Equations2.4 Exact Equations2.5 Special Integrating Factors2.6 Substitutions and TransformationsChapter SummaryReview ProblemsTechnical Writing ExercisesGroup Projects for Chapter 2A. Oil Spill in a CanalB. Differential Equations in Clinical MedicineC. Torricelli's Law of Fluid FlowD. The Snowplow ProblemE. Two SnowplowsF. Clairaut Equations and Singular SolutionsG. Multiple Solutions of a First-Order Initial Value ProblemH. Utility Functions and Risk AversionI. Designing a Solar CollectorJ. Asymptotic Behavior of Solutions to Linear Equations 3. Mathematical Models and Numerical Methods Involving First Order Equations3.1 Mathematical Modeling3.2 Compartmental Analysis3.3 Heating and Cooling of Buildings3.4 Newtonian Mechanics3.5 Electrical Circuits3.6 Improved Euler's Method3.7 Higher-Order Numerical Methods: Taylor and Runge-KuttaGroup Projects for Chapter 3A. Dynamics of HIV InfectionB. AquacultureC. Curve of PursuitD. Aircraft Guidance in a CrosswindE. Feedback and the Op AmpF. Bang-Bang ControlsG. Market Equilibrium: Stability and Time PathsH. Stability of Numerical MethodsI. Period Doubling and Chaos 4. Linear Second-Order Equations4.1 Introduction: The Mass-Spring Oscillator4.2 Homogeneous Linear Equations: The General Solution4.3 Auxiliary Equations with Complex Roots4.4 Nonhomogeneous Equations: The Method of Undetermined Coefficients4.5 The Superposition Principle and Undetermined Coefficients Revisited4.6 Variation of Parameters4.7 Variable-Coefficient Equations4.8 Qualitative Considerations for Variable-Coefficient and Nonlinear Equations4.9 A Closer Look at Free Mechanical Vibrations4.10 A Closer Look at Forced Mechanical VibrationsChapter SummaryReview ProblemsTechnical Writing ExercisesGroup Projects for Chapter 4A. Nonlinear Equations Solvable by First-Order TechniquesB. Apollo ReentryC. Simple PendulumD. Linearization of Nonlinear ProblemsE. Convolution MethodF. Undetermined Coefficients Using Complex ArithmeticG. Asymptotic Behavior of Solutions 5. Introduction to Systems and Phase Plane Analysis5.1 Interconnected Fluid Tanks5.2 Elimination Method for Systems with Constant Coefficients5.3 Solving Systems and Higher-Order Equations Numerically5.4 Introduction to the Phase Plane5.5 Applications to Biomathematics: Epidemic and Tumor Growth Models5.6 Coupled Mass-Spring Systems5.7 Electrical Systems5.8 Dynamical Systems, Poincaré Maps, and ChaosChapter SummaryReview Problems

Betyg & recensioner

3.5/5

2/5
Jämfört med den tidigare versionen så har de slopat appendix i slutet vilket kan vara bra att ha när man vill repetera integrationsmetode och dyl. Sidorna är helt svartvita jämfört med tidigare, vilket egentligen inte är ett problem, men man blir alltid lite gladare av lite färg. Sidorna är även tunnare vilket gör att de lättare tar skada. Har du möjlighet att få tag i den "tidigare" versionen som annars är exakt likadan så rekommenderar jag det.
Euler J
16 september 2013

Mer från samma författare

Fundamentals of Differential Equations, Global Edition

R. Nagle, Edward Saff, Arthur Snider

Häftad, 2018

1 105 kr