Fundamentals of Differential Equations and Boundary Value Problems: Pearson New International Edition (häftad)
Format
Häftad (Paperback)
Språk
Engelska
Antal sidor
872
Utgivningsdatum
2013-07-30
Upplaga
6
Förlag
Pearson
Medarbetare
Saff, Edward / Snider, David
Illustrationer
Illustrationsstrations (black and white)
Dimensioner
276 x 215 x 27 mm
Vikt
1619 g
Antal komponenter
1
ISBN
9781292023564
Fundamentals of Differential Equations and Boundary Value Problems: Pearson New International Edition (häftad)

Fundamentals of Differential Equations and Boundary Value Problems: Pearson New International Edition

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Häftad Engelska, 2013-07-30
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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).
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  1. Jämfört med den tidigare versionen så har de slopat...
    Euler Jr, 16 september 2013

    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.

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Fler böcker av R Kent Nagle

Innehållsförteckning

1. Introduction

1.1 Background

1.2 Solutions and Initial Value Problems

1.3 Direction Fields

1.4 The Approximation Method of Euler

  Chapter Summary

  Technical Writing Exercises

  Group Projects for Chapter 1

  A. Taylor Series Method

  B. Picard's Method

  C. The Phase Line

 

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 Summary

  Review Problems

  Technical Writing Exercises

  Group 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 Problem

  H. Utility Functions and Risk Aversion

  I. Designing a Solar Collector

  J. Asymptotic Behavior of Solutions to Linear Equations

 

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

  Group Projects for Chapter 3

  A. Dynamics of HIV Infection

  B. Aquaculture

  C. Curve of Pursuit

  D. Aircraft Guidance in a Crosswind

  E. Feedback and the Op Amp

  F. Bang-Bang Controls

  G. Market Equilibrium: Stability and Time Paths

  H. Stability of Numerical Methods

  I. Period Doubling and Chaos

 

 

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

  Chapter Summary

  Review Problems

  Technical Wr...