Differential Equations with Mathematica

• Author : Prem K. Kythe,Michael R. Schäferkotter,Pratap Puri
• Publisher : CRC Press
• Release : 12 November 2002

Early training in the elementary techniques of partial differential equations is invaluable to students in engineering and the sciences as well as mathematics. However, to be effective, an undergraduate introduction must be carefully designed to be challenging, yet still reasonable in its demands. Judging from the first edition's popularity, instructors and students agree that despite the subject's complexity, it can be made fairly easy to understand. Revised and updated to reflect the latest version of Mathematica, Partial Differential Equations and

• Author : Martha L. Abell,James P. Braselton
• Publisher : AP Professional
• Release : 19 January 1997

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
• Release : 01 September 2013

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

• Author : Gerd Baumann
• Publisher : Springer
• Release : 20 January 2014

The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations.

• Author : Kevin R. Coombes
• Publisher : John Wiley & Sons Incorporated
• Release : 05 January 1998

This book changes the emphasis in the traditional ordinary differential equations (ODE) course by using a mathematical software system to introduce numerical methods, geometric interpretation, symbolic computation, and qualitative analysis into the course in a basic way. Includes concise instructions for using Mathematica on three popular computer platforms: Windows, Macintosh, and the X Window System. It focuses on the specific features of Mathematica that are useful for analyzing differential equations, and it also describes the features of the Mathematica "Notebook"

• Author : Cesar Perez Lopez
• Publisher : Createspace Independent Publishing Platform
• Release : 16 January 2016

This book provides all the material needed to work on Integral Calculus and Differential Equations using Mathematica. It includes techniques for solving all kinds of integral and its applications for calculating lengths of curves, areas, volumes, surfaces of revolution... With Mathematica is possible solve ordinary and partial differential equations of various kinds, and systems of such equations, either symbolically or using numerical methods (Euler's method,, the Runge-Kutta method,...). It also describes how to implement mathematical tools such as the Laplace

• Author : Alfred Gray,Mike Mezzino,Mark Pinsky
• Publisher : Springer
• Release : 01 June 1998

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

• Author : Pramote Dechaumphai
• Publisher : Alpha Science International, Limited
• Release : 04 May 2016

Symbolic mathematics software have played an important role in learning calculus and differential equations. MATHEMATICA is one of the most powerful software being used to solve various types of problems in mathematics. This book presents a clear and easy-to-understand on how to use MATHEMATICA to solve calculus and differential equation problems. The book contains essential topics that are taught in calculus and differential equation courses. These topics are the limits, differentiation, integration, series, ordinary differential equations, Laplace and Fourier transforms,

• Author : Anonim
• Publisher : Unknown
• Release : 19 January 1998

• Author : Inna Shingareva,Carlos Lizárraga-Celaya
• Publisher : Springer Science & Business Media
• Release : 24 July 2011

The emphasis of the book is given in how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results

• Author : Clay C. Ross
• Publisher : Springer Science & Business Media
• Release : 09 March 2013

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 : Stavroulakis Ioannis P,Tersian Stepan A
• Publisher : World Scientific Publishing Company
• Release : 27 April 2004

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 : Dan Schwalbe,Stan Wagon
• Publisher : Springer
• Release : 17 September 2011

This title presents new ideas on the visualization of differential equations with user-configurable tools. The authors use the widely-used computer algebra system, Mathematica, to provide an integrated environment for programming, visualizing graphics, and running commentary for learning and working with differential equations.

• Author : Ioannis P. Stavroulakis,Stepan A. Tersian
• Publisher : World Scientific
• Release : 19 January 2022

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 : Gerd Baumann
• Publisher : Springer Science & Business Media
• Release : 20 April 2000

The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations.