Differential Equations With Mathematica PDF Download
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| Author | : Martha L. Abell |
| Publisher | : AP Professional |
| Total Pages | : 846 |
| Release | : 1997 |
| Genre | : Computers |
| ISBN | : |
Download Differential Equations with Mathematica Book in PDF, ePub and Kindle
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 | : Gerd Baumann |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 532 |
| Release | : 2013-11-21 |
| Genre | : Mathematics |
| ISBN | : 1461221102 |
Download Symmetry Analysis of Differential Equations with Mathematica® Book in PDF, ePub and Kindle
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. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which allow users to directly interact with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool in regard to performing algebraic computations.
| Author | : Kuzman Adzievski |
| Publisher | : CRC Press |
| Total Pages | : 645 |
| Release | : 2016-04-19 |
| Genre | : Mathematics |
| ISBN | : 1466510579 |
Download Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica Book in PDF, ePub and Kindle
With special emphasis on engineering and science applications, this textbook provides a mathematical introduction to the field of partial differential equations (PDEs). The text represents a new approach to PDEs at the undergraduate level by presenting computation as an integral part of the study of differential equations. The authors use the computer software Mathematica (R) along with graphics to improve understanding and interpretation of concepts. The book also presents solutions to selected examples as well as exercises in each chapter. Topics include Laplace and Fourier transforms as well as Sturm-Liuville Boundary Value Problems.
| Author | : Martha L Abell |
| Publisher | : Academic Press |
| Total Pages | : 640 |
| Release | : 2014-05-09 |
| Genre | : Mathematics |
| ISBN | : 1483213919 |
Download Differential Equations with Mathematica Book in PDF, ePub and Kindle
Differential Equations with Mathematica presents an introduction and discussion of topics typically covered in an undergraduate course in ordinary differential equations as well as some supplementary topics such as Laplace transforms, Fourier series, and partial differential equations. It also illustrates how Mathematica is used to enhance the study of differential equations not only by eliminating the computational difficulties, but also by overcoming the visual limitations associated with the solutions of differential equations. The book contains chapters that present differential equations and illustrate how Mathematica can be used to solve some typical problems. The text covers topics on differential equations such as first-order ordinary differential equations, higher order differential equations, power series solutions of ordinary differential equations, the Laplace Transform, systems of ordinary differential equations, and Fourier Series and applications to partial differential equations. Applications of these topics are provided as well. Engineers, computer scientists, physical scientists, mathematicians, business professionals, and students will find the book useful.
| Author | : Dimitri Dimitrievich Vvedensky |
| Publisher | : Addison Wesley Publishing Company |
| Total Pages | : 486 |
| Release | : 1993 |
| Genre | : Computers |
| ISBN | : |
Download Partial Differential Equations with Mathematica Book in PDF, ePub and Kindle
An introduction to linear and nonlinear partial differential equations with extensive use of the popular computational mathematics computer program, Mathematica, to illustrate techniques and solutions and to provide examples that in many cases would not be practical otherwise. No prior knowledge of
| Author | : Clay C. Ross |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 445 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 1475739494 |
Download Differential Equations Book in PDF, ePub and Kindle
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 | : Prem K. Kythe |
| Publisher | : CRC Press |
| Total Pages | : 440 |
| Release | : 2018-10-03 |
| Genre | : Mathematics |
| ISBN | : 1482296322 |
Download Partial Differential Equations and Mathematica Book in PDF, ePub and Kindle
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 Boundary Value Problems with Mathematica, Second Edition meets the needs of mathematics, science, and engineering students even better. While retaining systematic coverage of theory and applications, the authors have made extensive changes that improve the text's accessibility, thoroughness, and practicality. New in this edition: Upgraded and expanded Mathematica sections that include more exercises An entire chapter on boundary value problems More on inverse operators, Legendre functions, and Bessel functions Simplified treatment of Green's functions that make it more accessible to undergraduates A section on the numerical computation of Green's functions Mathemcatica codes for solving most of the problems discussed Boundary value problems from continuum mechanics, particularly on boundary layers and fluctuating flows Wave propagation and dispersion With its emphasis firmly on solution methods, this book is ideal for any mathematics curricula. It succeeds not only in preparing readers to meet the challenge of PDEs, but also in imparting the inherent beauty and applicability of the subject.
| Author | : Victor Grigor'e Ganzha |
| Publisher | : CRC Press |
| Total Pages | : 347 |
| Release | : 2017-11-22 |
| Genre | : Mathematics |
| ISBN | : 1351427520 |
Download Numerical Solutions for Partial Differential Equations Book in PDF, ePub and Kindle
Partial differential equations (PDEs) play an important role in the natural sciences and technology, because they describe the way systems (natural and other) behave. The inherent suitability of PDEs to characterizing the nature, motion, and evolution of systems, has led to their wide-ranging use in numerical models that are developed in order to analyze systems that are not otherwise easily studied. Numerical Solutions for Partial Differential Equations contains all the details necessary for the reader to understand the principles and applications of advanced numerical methods for solving PDEs. In addition, it shows how the modern computer system algebra Mathematica® can be used for the analytic investigation of such numerical properties as stability, approximation, and dispersion.
| Author | : Martha L. Abell |
| Publisher | : Academic Press |
| Total Pages | : 610 |
| Release | : 2022-01-18 |
| Genre | : Mathematics |
| ISBN | : 0323984363 |
Download Differential Equations with Mathematica Book in PDF, ePub and Kindle
Differential Equations with Mathematica, Fifth Edition uses the fundamental concepts of the popular platform to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists. Mathematica’s diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica’s built-in functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution. In other cases, Mathematica can be used to perform the calculations encountered when solving a differential equation. Because one goal of elementary differential equations courses is to introduce students to basic methods and algorithms so that they gain proficiency in them, nearly every topic covered this book introduces basic commands, also including typical examples of their application. A study of differential equations relies on concepts from calculus and linear algebra, so this text also includes discussions of relevant commands useful in those areas. In many cases, seeing a solution graphically is most meaningful, so the book relies heavily on Mathematica’s outstanding graphics capabilities. Demonstrates how to take advantage of the advanced features of Mathematica Introduces the fundamental theory of ordinary and partial differential equations using Mathematica to solve typical problems of interest to students, instructors, scientists, and practitioners in many fields Showcases practical applications and case studies drawn from biology, physics, and engineering
| Author | : Alfred Gray |
| Publisher | : Springer |
| Total Pages | : 530 |
| Release | : 1998-06-01 |
| Genre | : Mathematics |
| ISBN | : 9780387982328 |
Download Introduction to Ordinary Differential Equations with Mathematica® Book in PDF, ePub and Kindle
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.
