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Sunday, August 9, 2020 | History

1 edition of Scientific Computing with Mathematica® found in the catalog.

Scientific Computing with Mathematica®

Mathematical Problems for Ordinary Differential Equations

by Addolorata Marasco

  • 108 Want to read
  • 35 Currently reading

Published by Birkhäuser Boston in Boston, MA .
Written in English


About the Edition

Many interesting behaviors of real physical, biological, economical, and chemical systems can be described by ordinary differential equations (ODEs). Scientific Computing with Mathematica for Ordinary Differential Equations provides a general framework useful for the applications, on the conceptual aspects of the theory of ODEs, as well as a sophisticated use of Mathematica software for the solutions of problems related to ODEs. In particular, a chapter is devoted to the use ODEs and Mathematica in the Dynamics of rigid bodies. Mathematical methods and scientific computation are dealt with jointly to supply a unified presentation. The main problems of ordinary differential equations such as, phase portrait, approximate solutions, periodic orbits, stability, bifurcation, and boundary problems are covered in an integrated fashion with numerous worked examples and computer program demonstrations using Mathematica. Topics and Features:*Explains how to use the Mathematica package ODE.m to support qualitative and quantitative problem solving *End-of- chapter exercise sets incorporating the use of Mathematica programs *Detailed description and explanation of the mathematical procedures underlying the programs written in Mathematica *Appendix describing the use of ten notebooks to guide the reader through all the exercises. This book is an essential text/reference for students, graduates and practitioners in applied mathematics and engineering interested in ODE"s problems in both the qualitative and quantitative description of solutions with the Mathematica program. It is also suitable as a self-

Edition Notes

Statementby Addolorata Marasco, Antonio Romano
SeriesModeling and Simulation in Science, Engineering and Technology, Modeling and simulation in science, engineering & technology
ContributionsRomano, Antonio
The Physical Object
Format[electronic resource] :
Pagination1 online resource (XIV, 270 pages 149 illustrations).
Number of Pages270
ID Numbers
Open LibraryOL27086656M
ISBN 101461201519
ISBN 109781461201519
OCLC/WorldCa840277717

  Best of all, if after reading an e-book, you buy a paper version of A First Course in Scientific Computing: Symbolic, Graphic, and Numeric Modeling Using Maple, Java, Mathematica, and Fortran Read the book on paper - it is quite a powerful experience. This highly successful and scholarly book introduces readers with diverse backgrounds to the various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with careful proofs and scientific background. An in-depth treatment.

Continuum Mechanics Using Mathematica: Fundamentals, Applications, and Scientific Computing (Modeling and Simulation in Science, Engineering & Technology.) June Read More. The present book is the proceedings of a meeting on "Large Scale Scientific Computing", that was held a t the Oberwolfach Mathematical Institute (July , ) under the auspices of the Sonderforschungsbereich of the University of Heidelberg.

A problem-solving approach is followed, with a lot of examples. Wolfram correctly suggests that the only sensible way to use the book is alongside a system, allowing interplay between the two. This agrees with reported experience. Part 1 is an introduction to Mathematica that concentrates on its use as a scientific calculating problem solver.   scientist or engineer needs to know science or engineering to make the models. He or she needs the principles of scienti c computing to nd out what the models predict. Scienti c computing is challenging partly because it draws on many parts of mathematics and computer science. Beyond this knowledge, it also takes dis-cipline and practice.


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Scientific Computing with Mathematica® by Addolorata Marasco Download PDF EPUB FB2

Scientific Computing with Mathematica for Ordinary Differential Equations provides a general framework useful for the applications, on the conceptual aspects of the theory of ODEs, as well as a sophisticated use of Mathematica software for the solutions of problems related to ODEs.

Scientific Computing with Mathematica for Ordinary Differential Equations provides a general framework useful for the applications, on the conceptual aspects of the theory of ODEs, as well as a sophisticated use of Mathematica software for the solutions of problems related to ODEs.

In particular, a chapter is devoted to the use ODEs and Cited by:   A First Course in Scientific Computing: Symbolic, Graphic, and Numeric Modeling Using Maple, Java, Mathematica, and Fortran Computer Science Books Cited by: 6.

Scientific Computing with Mathematica: Mathematical Problems for Ordinary Differential Equations by Addolorata Marasco, Antonio Romano. Publisher: Birkhauser Year: ISBN: (Hardcover) pp Book Includes: CD-ROM. This book offers a new approach to introductory scientific computing.

It aims to make students comfortable using computers to do science, to provide them with the computational tools and knowledge they need throughout their college careers and into their professional careers, and to show how all the pieces can work together. Computational science, also known as scientific computing or scientific computation (SC), is a rapidly growing field that uses advanced computing capabilities to understand and solve complex problems.

It is an area of science which spans many disciplines, but at its core, it involves the development of models and simulations to understand natural systems. Wolfram, to its credit, has made several explorations in this direction – notably Mathematical Explorer, which presented big ideas from the history of mathematics through an exploratory interface and A New Kind of Science Explorer, which invites users to play with the ideas put forward in Stephen Wolfram's book.

Concrete examples throughout the text demonstrate how Mathematica can be used to solve problems in science, engineering, economics/finance, computational linguistics, geoscience, bioinformatics, and a range of other fields. The book will appeal to students, researchers and programmers wishing to further their understanding of Mathematica.

Large collection of Mathematica and Wolfram Language-based books and references written by leading experts. Search by topic or language. First Course in Scientific Computing Table of Contents Open A FIRST COURSE IN SCIENTIFIC COMPUTING Symbolic, Graphical, and Numeric Problem Solving Using Maple, Java, Mathematica, and Fortran Preface Acknowledgements Open Chapter 1: Introduction Nature of Scientific Computing Instructional Guide Excercises to Come.

This book offers a new approach to introductory scientific computing. It aims to make students comfortable using computers to do science, to provide them with the computational tools and knowledge they need throughout their college careers and into their professional careers, and to show how all the pieces can work together.

Rubin Landau introduces the requisite mathematics and computer. Release 6 of Mathematica, however, marks a shift which really does seem to justify the hype.

Much has, of course, happened below the surface, extending Mathematica’s power and reach, as one would expect from a market leader with an existing user base.

Python with well-known scientific computing packages: NumPy, SymPy and SciPy. R is a widely used system with a focus on data manipulation and statistics which implements the S language. Many add-on packages are available (free software, GNU GPL license). The scientific computing part of the book covers topics in numerical linear algebra (basics, solving linear system, eigen-problems, SVD, and PCA) and numerical calculus (basics, data fitting, dynamic processes, root finding, and multivariate functions).

The visualization component of the book is separated into three parts: empirical. This book methodologically familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics.

It covers essential principles and fundamental applications, and provides a solid basis for a deeper study of more challenging and specialized problems related to elasticity, fluid mechanics, plasticity, materials with memory, piezoelectricity.

Scientific Computing with Mathematica(R) This book is an essential text/reference for students, graduates and practitioners in engineering and applied mathematics interested in problems of ODEs in both the qualitative and quantitative description of solutions with the Mathematica(R) program.

It is also suitable as a self-study resource for. The Wolfram Language provides a uniquely integrated and automated environment for parallel computing. With zero configuration, full interactivity, and seamless local and network operation, the symbolic character of the Wolfram Language allows immediate support of a variety of existing and new parallel programming paradigms and data-sharing models.

Get this from a library. Scientific computing with Mathematica: mathematical problems for ordinary differential equations. [Addolorata Marasco; Antonio Romano] -- CD-ROM includes: Mathematica files (ODE.m and 11 notebooks: - Chapternb and ). Wolfram began the development of Mathematica in late The first version of Mathematica was released on Jand was immediately hailed as a major advance in computing.

In the years that followed, the popularity of Mathematica grew rapidly, and Wolfram Research became established as a world leader in the software industry, widely. There are many books available for Mathematica users of all skill levels.

The following are introductory books that I am familiar with and can recommend: Mathematica Demystified, by Jim Hoste, ISBN Getting Started with Mathematica, by C.-K. Cheung, G. Keough, R. Gross, and C. Landraitis, ISBN. Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics.

In this text extensive use is made of the Mathematica computer algebra system. No prior knowledge of Mathematica or programming is assumed. This book includes 33 experimental activities that are. This book offers a new approach to introductory scientific computing.

It aims to make students comfortable using computers to do science, to provide them with the computational tools and knowledge they need throughout their college careers and into their professional careers, and to show how all the pieces can work Edition: Course Book.Mathematics of Scientific Computing, Third Edition in the textbook written in a variety of programming languages such as Fortran and C as well as Matlab and Mathematica.

The sample programs are intended primarily as a learning and teaching aid for use with this book.