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Differential Equations : An Introduction to Modern Methods and Ap
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- Book Title
- Differential Equations : An Introduction to Modern Methods and Ap
- ISBN
- 9780471651413
Über dieses Produkt
Product Identifiers
Publisher
Wiley & Sons, Incorporated, John
ISBN-10
0471651419
ISBN-13
9780471651413
eBay Product ID (ePID)
54365713
Product Key Features
Number of Pages
704 Pages
Language
English
Publication Name
Differential Equations : an Introduction to Modern Methods and Applications
Publication Year
2006
Subject
Differential Equations / General
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Height
1.1 in
Item Weight
45.8 Oz
Item Length
10 in
Item Width
8.2 in
Additional Product Features
Edition Number
11
Intended Audience
College Audience
LCCN
2006-048264
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
515.35
Table Of Content
1. Introduction.1.1 Some Basic Mathematical Models; Direction Fields.1.2 Solutions of Some Differential Equations.1.3 Numerical Approximations: Euler's Method.1.4 Classification of Differential Equations.2. First Order Differential Equations.2.1 Linear Equations; Method of Integrating Factors.2.2 Separable Equations.2.3 Modeling with First Order Equations.2.4 Differences Between Linear and Nonlinear Equations.2.5 Autonomous Equations and Population Dynamics.2.6 Exact Equations and Integrating Factors.2.7 Accuracy of Numerical Methods.2.8 Improved Euler and Runge-Kutta Methods.Summary.Projects.2.P.1 Harvesting a Renewable Resource.2.P.2 Designing a Drip Dispenser for a Hydrology Experiment.2.P.3 A Mathematical Model of a Groundwater Contaminant Source.2.P.4 Monte Carlo Option Pricing: Pricing Financial Options by Flipping a Coin.3. Systems of Two First Order Equations.3.1 Systems of Two Linear Algebraic Equations.3.2 Systems of Two First Order Linear Differential Equations.3.3 Homogeneous Linear Systems with Constant Coefficients.3.4 Complex Eigenvalues.3.5 Repeated Eigenvalues.3.6 A Brief Introduction to Nonlinear Systems.3.7 Numerical Methods for Systems of First Order Equations.Summary.Projects.3.P.1 Eigenvalue-Placement Design of a Satellite Attitude Control System.3.P.2 Estimating Rate Constants for an Open Two-Compartment Model.3.P.3 The Ray Theory of Wave Propagation.3.P.4 A Blood-Brain Pharmacokinetic Model.4. Second Order Linear Equations.4.1 Definitions and Examples.4.2 Theory of Second Order Linear Homogeneous Equations.4.3 Linear Homogeneous Equations with Constant Coefficients.4.4 Characteristic Equations with Complex Roots.4.5 Mechanical and Electrical Vibrations.4.6 Nonhomogeneous Equations; Method of Undetermined Coefficients.4.7 Forced Vibrations, Frequency Response, and Resonance.4.8 Variation of Parameters.Summary.Projects.4.P.1 A Vibration Insulation Problem.4.P.2 Linearization of a Nonlinear Mechanical System.4.P.3 A Spring-Mass Event Problem.4.P.4 Uniformly Distributing Points on a Sphere.4.P.5 Euler-Lagrange Equations.5. The Laplace Transform.5.1 Definition of the Laplace Transform.5.2 Properties of the Laplace Transform.5.3 The Inverse Laplace Transform.5.4 Solving Differential Equations with Laplace Transforms.5.5 Discontinuous Functions and Periodic Functions.5.6 Differential Equations with Discontinuous Forcing Functions.5.7 Impulse Functions.5.8 Convolution Integrals and Their Applications.5.9 Linear Systems and Feedback Control.Summary.Projects.5.P.1 An Electric Circuit Problem.5.P.2 Effects of Pole Locations on Step Responses of Second Order Systems.5.P.3 The Watt Governor, Feedback Control, and Stability.6. Systems of First Order Linear Equations.6.1 Definitions and Examples.6.2 Basic Theory of First Order Linear Systems.6.3 Homogeneous Linear Systems with Constant Coefficients.6.4 Complex Eigenvalues.6.5 Fundamental Matrices and the Exponential of a Matrix.6.6 Nonhomogeneous Linear Systems.6.7 Defective Matrices.Summary.Projects.6.P.1 A Compartment Model of Heat Flow in a Rod.6.P.2 Earthquakes and Tall Buildings.6.P.3 Controlling a Spring-Mass System to Equilibrium.7. Nonlinear Differential Equations and Stability.7.1 Autonomous Systems and Stability.7.2 Almost Linear Systems.7.3 Competing Species.7.4 Predator-Prey E
Synopsis
Written by one of the most well known names in mathematics, this book provides readers with a more modern approach to differential equations. It is streamlined for easier readability while incorporating the latest topics and technologies., Differential Equations: An Introduction to Modern Methods and Applications is a textbook designed for a first course in differential equations commonly taken by undergraduates majoring in engineering or science. It emphasizes a systems approach to the subject and integrates the use of modern computing technology in the context of contemporary applications from engineering and science. Section exercises throughout the text are designed to give students hands-on experience in modeling, analysis, and computer experimentation. Optional projects at the end of each chapter provide additional opportunitites for students to explore the role played by differential equations in scientific and engineering problems of a more serious nature.
LC Classification Number
QA372.B75 2006
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- c***m (431)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufAAA+++; Excellent Service; Great Pricing; Fast Delivery-Faster Than Expected to Hawaii , Received 07/27; Paperback book in Great Condition as Described ; TLC Packaging; Excellent Seller Communication, Sends updates . Highly Recommended!, Thank you very much!
- e***g (59)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufExcellent prices on used books in great condition. Shipped out quickly. Product condition is accurate to rating in listing. Thanks! NOTE: For this particular book (I ordered several), it came in a soft cover rather than hard cover as the listing stated. I contacted the seller and they responded promptly. They agreed that it was a listing error and provided me with a full refund for this book (without return required) proving they are both a responsible and trustworthy seller.The Game Hardcover Ken Dryden (Nr. 277097212658)
- 0***1 (1569)- Bewertung vom Käufer.Letzter MonatBestätigter KaufThis book arrived within the time period given and was in the 'very good' condition described. Unfortunately, only being packaged in a plastic bag to traverse the Atlantic meant that all four corners got a battering (I would be happy to pay bit more in future for a bit of cardboard support in packaging) but all in all, the price was good and overall service for books that are difficult to get over here, I am very happy with this purchase and would recommend this seller. Will buy again from them.
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Better World Books
98,9% positive Bewertungen•13,7 Mio. Artikel verkauft
Angemeldet als gewerblicher Verkäufer
Verkäuferbewertungen (4.310.649)
- c***m (431)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufAAA+++; Excellent Service; Great Pricing; Fast Delivery-Faster Than Expected to Hawaii , Received 07/27; Paperback book in Great Condition as Described ; TLC Packaging; Excellent Seller Communication, Sends updates . Highly Recommended!, Thank you very much!
- e***g (59)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufExcellent prices on used books in great condition. Shipped out quickly. Product condition is accurate to rating in listing. Thanks! NOTE: For this particular book (I ordered several), it came in a soft cover rather than hard cover as the listing stated. I contacted the seller and they responded promptly. They agreed that it was a listing error and provided me with a full refund for this book (without return required) proving they are both a responsible and trustworthy seller.The Game Hardcover Ken Dryden (Nr. 277097212658)
- 0***1 (1569)- Bewertung vom Käufer.Letzter MonatBestätigter KaufThis book arrived within the time period given and was in the 'very good' condition described. Unfortunately, only being packaged in a plastic bag to traverse the Atlantic meant that all four corners got a battering (I would be happy to pay bit more in future for a bit of cardboard support in packaging) but all in all, the price was good and overall service for books that are difficult to get over here, I am very happy with this purchase and would recommend this seller. Will buy again from them.