عنوان

Modelling with Ordinary Differential Equations /

(Number (ISBN

0203748034

(Number (ISBN

1351430688

(Number (ISBN

1351430696

(Number (ISBN

135143070X

(Number (ISBN

9780203748039

(Number (ISBN

9781351430685

(Number (ISBN

9781351430692

(Number (ISBN

9781351430708

Erroneous ISBN

0849386365

Erroneous ISBN

9780849386367

Erroneous ISBN

9781138417540

Title Proper

Modelling with Ordinary Differential Equations /

General Material Designation

[Book]

First Statement of Responsibility

T.P. Dreyer.

Edition Statement

1st

Name of Publisher, Distributor, etc.

Routledge,

Date of Publication, Distribution, etc.

2017.

Specific Material Designation and Extent of Item

1 online resource (304 pages)

Text of Note

Includes bibliographical references and index.

Text of Note

Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; 1: Introduction; 1.1 Mathematical Modelling; 1.2 Boundary Value Problem; 1.3 Direction Fields; 1.4 Finding Zeros; 1.5 Exercises; 2: First Order Differential Equations; 2.1 Introduction; 2.2 Population Growth: Malthus Model; 2.3 Least Squares Method of Curve Fitting; 2.4 Population Growth: Logistic Model; 2.5 Harvesting; 2.6 Optimization of Profit; 2.7 Epidemics; 2.8 Potato Blight; 2.9 Free Fall with Air Resistance; 2.10 Power; 2.11 Rockets; 2.12 Exercises; 2.13 Projects; 2.14 Mathematical Background.

Text of Note

3: Numerical Methods3.1 Introduction; 3.2 Existence Theorem; 3.3 Euler Algorithm; 3.4 Error Analysis; 3.5 Runge-Kutta Algorithm; 3.6 Fruitflies; 3.7 Exercises; 3.8 Projects; 3.9 Mathematical Background; 4: Laplace Transforms; 4.1 Linear Transforms; 4.2 Some Properties of Laplace Transforms; 4.3 Solving Differential Equations with Laplace Transforms; 4.4 Table of Laplace Transforms; 4.5 Exercises; 4.6 Projects; 4.7 Mathematical Background; 5: Simultaneous Linear First Order Differential Equations; 5.1 Introduction; 5.2 Projectile Trajectories with Air Resistance; 5.3 Romantic Relationships.

Text of Note

5.4 Neutron Flow5.5 Electrical Networks; 5.6 Marriage; 5.7 Residential Segregation; 5.8 Exercises; 5.9 Projects; 5.10 Mathematical Background; 6: Second Order Linear Differential Equations; 6.1 Mechanical Vibrations; 6.2 Electrical Networks; 6.3 The Ignition of An automobile; 6.4 Simultaneous Equations; 6.5 Exercises; 6.6 Projects; 6.7 Mathematical Background; 7: Second Order Nonlinear Differential Equations; 7.1 Introduction; 7.2 The Pendulum without Damping; 7.3 The Pendulum with Damping; 7.4 Population of Interacting Species; 7.5 Exercises; 7.6 Mathematical Background.

Text of Note

8: Table of Integrals9: Answers; 10: References; Index.

0

8

8

8

Text of Note

Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations. Each situation highlights a different aspect of the theory or modeling. Carefully selected exercises and projects present excellent opportunities for tutorial sessions and self-study. This text/reference addresses common types of first order ordinary differential equations and the basic theory of linear second order equations with constant coefficients. It also explores the elementary theory of systems of differential equations, Laplace transforms, and numerical solutions. Theorems on the existence and uniqueness of solutions are a central feature. Topics such as curve fitting, time-delay equations, and phase plane diagrams are introduced. The book includes algorithms for computer programs as an integral part of the answer-finding process. Professionals and students in the social and biological sciences, as well as those in physics and mathematics will find this text/reference indispensable for self-study.

Source for Acquisition/Subscription Address

Ingram Content Group

Stock Number

9781351430692

International Standard Book Number

9781138417540

Differential equations.

Differential equations.

MAT-- 007000

Number

Class number

Dreyer, T. P.

Date of Transaction

20200822094001.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y