عنوان

Modelling with Ordinary Differential Equations /

شابک

0203748034

شابک

1351430688

شابک

1351430696

شابک

135143070X

شابک

9780203748039

شابک

9781351430685

شابک

9781351430692

شابک

9781351430708

شابک اشتباه

0849386365

شابک اشتباه

9780849386367

شابک اشتباه

9781138417540

عنوان اصلي

Modelling with Ordinary Differential Equations /

نام عام مواد

[Book]

نام نخستين پديدآور

T.P. Dreyer.

وضعيت ويراست

1st

نام ناشر، پخش کننده و غيره

Routledge,

تاریخ نشرو بخش و غیره

2017.

نام خاص و کميت اثر

1 online resource (304 pages)

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

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.

متن يادداشت

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.

متن يادداشت

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.

متن يادداشت

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

بدون عنوان

0

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

متن يادداشت

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.

منبع سفارش / آدرس اشتراک

Ingram Content Group

شماره انبار

9781351430692

شماره استاندارد بين المللي کتاب و موسيقي

9781138417540

موضوع مستند نشده

Differential equations.

موضوع مستند نشده

Differential equations.

موضوع مستند نشده

MAT-- 007000

شماره

شماره رده

مستند نام اشخاص تاييد نشده

Dreyer, T. P.

تاريخ عمليات

20200822094001.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y