Introduction To Ordinary Differential Equations With Mathematica

Author : Alfred Gray,Michael Mezzino,Mark A. Pinsky
Publisher : Springer
Page : 920 pages
File Size : 45,7 Mb
Release : 1997-06-20
Category : Computers
ISBN : UOM:39015072616249

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Introduction to Ordinary Differential Equations with Mathematica by Alfred Gray,Michael Mezzino,Mark A. Pinsky Pdf

These materials - developed and thoroughly class tested over many years by the authors -are for use in courses at the sophomore/junior level. A prerequisite is the calculus of one variable, although calculus of several variables, and linear algebra are recommended. The text covers the standard topics in first and second order equations, power series solutions, first order systems, Laplace transforms, numerical methods and stability of non-linear systems. Liberal use is made of programs in Mathematica, both for symbolic computations and graphical displays. The programs are described in separate sections, as well as in the accompanying Mathematica notebooks. However, the book has been designed so that it can be read with or without Mathematica and no previous knowledge of Mathematica is required. The CD-ROM contains the Mathematica solution of worked examples, a selection of various Mathematica notebooks, Mathematica movies and sample labs for students. Mathematica programs and additional problem/example files will be available online through the TELOS Web site and the authors dedicated web site.

Author : Alfred Gray,Mike Mezzino,Mark Pinsky
Publisher : Springer
Page : 530 pages
File Size : 43,9 Mb
Release : 1998-06-01
Category : Mathematics
ISBN : 0387982329

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Introduction to Ordinary Differential Equations with Mathematica® by Alfred Gray,Mike Mezzino,Mark Pinsky Pdf

The purpose of this companion volume to our text is to provide instructors (and eventu ally students) with some additional information to ease the learning process while further documenting the implementations of Mathematica and ODE. In an ideal world this volume would not be necessary, since we have systematically worked to make the text unambiguous and directly useful, by providing in the text worked examples of every technique which is discussed at the theoretical level. However, in our teaching we have found that it is helpful to have further documentation of the various solution techniques introduced in the text. The subject of differential equations is particularly well-suited to self-study, since one can always verify by hand calculation whether or not a given proposed solution is a bona fide solution of the differential equation and initial conditions. Accordingly, we have not reproduced the steps of the verification process in every case, rather content with the illustration of some basic cases of verification in the text. As we state there, students are strongly encouraged to verify that the proposed solution indeed satisfies the requisite equation and supplementary conditions.

Author : Alfred Gray,Mike Mezzino,Mark Pinsky
Publisher : Springer
Page : 0 pages
File Size : 53,6 Mb
Release : 1998-10-02
Category : Mathematics
ISBN : 1461217369

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Introduction to Ordinary Differential Equations with Mathematica® by Alfred Gray,Mike Mezzino,Mark Pinsky Pdf

The purpose of this companion volume to our text is to provide instructors (and eventu ally students) with some additional information to ease the learning process while further documenting the implementations of Mathematica and ODE. In an ideal world this volume would not be necessary, since we have systematically worked to make the text unambiguous and directly useful, by providing in the text worked examples of every technique which is discussed at the theoretical level. However, in our teaching we have found that it is helpful to have further documentation of the various solution techniques introduced in the text. The subject of differential equations is particularly well-suited to self-study, since one can always verify by hand calculation whether or not a given proposed solution is a bona fide solution of the differential equation and initial conditions. Accordingly, we have not reproduced the steps of the verification process in every case, rather content with the illustration of some basic cases of verification in the text. As we state there, students are strongly encouraged to verify that the proposed solution indeed satisfies the requisite equation and supplementary conditions.

Author : Martha L. Abell,James P. Braselton
Publisher : AP Professional
Page : 846 pages
File Size : 49,9 Mb
Release : 1997
Category : Computers
ISBN : UOM:39015041022503

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Differential Equations with Mathematica by Martha L. Abell,James P. Braselton Pdf

The second edition of this groundbreaking book integrates new applications from a variety of fields, especially biology, physics, and engineering. The new handbook is also completely compatible with Mathematica version 3.0 and is a perfect introduction for Mathematica beginners. The CD-ROM contains built-in commands that let the users solve problems directly using graphical solutions.

Author : Alfred Gray,Michael Mezzino,Mark A. Pinsky
Publisher : Springer
Page : 0 pages
File Size : 50,6 Mb
Release : 2014-11-28
Category : Mathematics
ISBN : 1461222427

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Introduction to Ordinary Differential Equations with Mathematica by Alfred Gray,Michael Mezzino,Mark A. Pinsky Pdf

These materials - developed and thoroughly class tested over many years by the authors -are for use in courses at the sophomore/junior level. A prerequisite is the calculus of one variable, although calculus of several variables, and linear algebra are recommended. The text covers the standard topics in first and second order equations, power series solutions, first order systems, Laplace transforms, numerical methods and stability of non-linear systems. Liberal use is made of programs in Mathematica, both for symbolic computations and graphical displays. The programs are described in separate sections, as well as in the accompanying Mathematica notebooks. However, the book has been designed so that it can be read with or without Mathematica and no previous knowledge of Mathematica is required. The CD-ROM contains the Mathematica solution of worked examples, a selection of various Mathematica notebooks, Mathematica movies and sample labs for students. Mathematica programs and additional problem/example files will be available online through the TELOS Web site and the authors dedicated web site.

Author : Ioannis P. Stavroulakis,Stepan A. Tersian
Publisher : World Scientific
Page : 328 pages
File Size : 41,7 Mb
Release : 2004
Category : Mathematics
ISBN : 981238815X

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Partial Differential Equations by Ioannis P. Stavroulakis,Stepan A. Tersian Pdf

This textbook is a self-contained introduction to partial differential equations.It has been designed for undergraduates and first year graduate students majoring in mathematics, physics, engineering, or science.The text provides an introduction to the basic equations of mathematical physics and the properties of their solutions, based on classical calculus and ordinary differential equations. Advanced concepts such as weak solutions and discontinuous solutions of nonlinear conservation laws are also considered.

Author : Marian Mureşan
Publisher : Springer
Page : 265 pages
File Size : 44,7 Mb
Release : 2017-02-21
Category : Computers
ISBN : 9783319520032

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Introduction to Mathematica® with Applications by Marian Mureşan Pdf

Starting with an introduction to the numerous features of Mathematica®, this book continues with more complex material. It provides the reader with lots of examples and illustrations of how the benefits of Mathematica® can be used. Composed of eleven chapters, it includes the following: A chapter on several sorting algorithms Functions (planar and solid) with many interesting examples Ordinary differential equations Advantages of Mathematica® dealing with the Pi number The power of Mathematica® working with optimal control problems Introduction to Mathematica® with Applications will appeal to researchers, professors and students requiring a computational tool.

Author : Clay C. Ross
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 51,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475739497

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Differential Equations by Clay C. Ross Pdf

The first edition (94301-3) was published in 1995 in TIMS and had 2264 regular US sales, 928 IC, and 679 bulk. This new edition updates the text to Mathematica 5.0 and offers a more extensive treatment of linear algebra. It has been thoroughly revised and corrected throughout.

Author : Albert L. Rabenstein
Publisher : Academic Press
Page : 444 pages
File Size : 41,9 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483226224

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Introduction to Ordinary Differential Equations by Albert L. Rabenstein Pdf

Introduction to Ordinary Differential Equations is a 12-chapter text that describes useful elementary methods of finding solutions using ordinary differential equations. This book starts with an introduction to the properties and complex variable of linear differential equations. Considerable chapters covered topics that are of particular interest in applications, including Laplace transforms, eigenvalue problems, special functions, Fourier series, and boundary-value problems of mathematical physics. Other chapters are devoted to some topics that are not directly concerned with finding solutions, and that should be of interest to the mathematics major, such as the theorems about the existence and uniqueness of solutions. The final chapters discuss the stability of critical points of plane autonomous systems and the results about the existence of periodic solutions of nonlinear equations. This book is great use to mathematicians, physicists, and undergraduate students of engineering and the science who are interested in applications of differential equation.

Author : Clay C. Ross
Publisher : Springer Science & Business Media
Page : 456 pages
File Size : 44,8 Mb
Release : 2004-08-03
Category : Mathematics
ISBN : 0387212841

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Differential Equations by Clay C. Ross Pdf

The first edition (94301-3) was published in 1995 in TIMS and had 2264 regular US sales, 928 IC, and 679 bulk. This new edition updates the text to Mathematica 5.0 and offers a more extensive treatment of linear algebra. It has been thoroughly revised and corrected throughout.

Author : Earl A. Coddington
Publisher : Courier Corporation
Page : 306 pages
File Size : 41,5 Mb
Release : 2012-04-20
Category : Mathematics
ISBN : 9780486131832

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An Introduction to Ordinary Differential Equations by Earl A. Coddington Pdf

A thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with answers. Index.

Author : James C. Robinson
Publisher : Cambridge University Press
Page : 416 pages
File Size : 44,9 Mb
Release : 2004-01-08
Category : Mathematics
ISBN : 0521533910

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An Introduction to Ordinary Differential Equations by James C. Robinson Pdf

A first course in ordinary differential equations for mathematicians, scientists and engineers. Solutions are provided.

Author : Shepley L. Ross
Publisher : John Wiley & Sons
Page : 518 pages
File Size : 51,7 Mb
Release : 1980
Category : Mathematics
ISBN : 0471032956

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Introduction to Ordinary Differential Equations by Shepley L. Ross Pdf

Author : Jane Cronin
Publisher : CRC Press
Page : 408 pages
File Size : 55,9 Mb
Release : 2007-12-14
Category : Mathematics
ISBN : 9781420014938

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Ordinary Differential Equations by Jane Cronin Pdf

Designed for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as more advanced topics in periodic solutions of

Author : Martha L. Abell,James P. Braselton
Publisher : Elsevier
Page : 530 pages
File Size : 41,8 Mb
Release : 2014-08-19
Category : Mathematics
ISBN : 9780124172821

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Introductory Differential Equations by Martha L. Abell,James P. Braselton Pdf

Introductory Differential Equations, Fourth Edition, offers both narrative explanations and robust sample problems for a first semester course in introductory ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems. The book provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress through their studies. This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, and Fourier Series. It follows a traditional approach and includes ancillaries like Differential Equations with Mathematica and/or Differential Equations with Maple. Because many students need a lot of pencil-and-paper practice to master the essential concepts, the exercise sets are particularly comprehensive with a wide array of exercises ranging from straightforward to challenging. There are also new applications and extended projects made relevant to everyday life through the use of examples in a broad range of contexts. This book will be of interest to undergraduates in math, biology, chemistry, economics, environmental sciences, physics, computer science and engineering. Provides the foundations to assist students in learning how to read and understand the subject, but also helps students in learning how to read technical material in more advanced texts as they progress through their studies Exercise sets are particularly comprehensive with a wide range of exercises ranging from straightforward to challenging Includes new applications and extended projects made relevant to "everyday life" through the use of examples in a broad range of contexts Accessible approach with applied examples and will be good for non-math students, as well as for undergrad classes