Computer Simulations with Mathematica

Computer Simulations with Mathematica
Author: Richard J. Gaylord
Publisher:
Total Pages: 330
Release: 1995
Genre: Computers
ISBN:

The study of natural phenomena using computer simulation is a major new research tool in the physical, chemical, biological and social sciences. It is useful for studying simple systems, and it is essential for the study of complex systems. Using Mathematica, an integrated software environment for scientific programming, numerical analysis and visualization, this book describes computer simulations applicable to a wide range of phenomena.

Simulating Society

Simulating Society
Author: Richard J. Gaylord
Publisher: Springer Science & Business Media
Total Pages: 223
Release: 2012-12-06
Genre: Business & Economics
ISBN: 1461217261

An exploration of the basis for social and economic behaviour. Using cellular automata in particular, the authors model various factors that are involved in a system of individuals who interact socially and economically with one another. Computer simulations in the social sciences provide a laboratory in which qualitative ideas about social and economic interactions can be tested. This brings a new dimension to the science, where 'explanations' abound, but are rarely subject to much experimental testing. The authors have chosen Mathematica because it has a number of features which make it uniquely qualified for use by social scientists, especially those without expertise in computer programming. Further, users can easily access and readily interact with the various 3.0 Mathematica notebooks, plus other data to be found at www.telospub.com.

Introduction to Mathematical Modeling and Computer Simulations

Introduction to Mathematical Modeling and Computer Simulations
Author: Vladimir Mityushev
Publisher: CRC Press
Total Pages: 202
Release: 2018-02-19
Genre: Mathematics
ISBN: 1351998757

Introduction to Mathematical Modeling and Computer Simulations is written as a textbook for readers who want to understand the main principles of Modeling and Simulations in settings that are important for the applications, without using the profound mathematical tools required by most advanced texts. It can be particularly useful for applied mathematicians and engineers who are just beginning their careers. The goal of this book is to outline Mathematical Modeling using simple mathematical descriptions, making it accessible for first- and second-year students.

Modeling Nature

Modeling Nature
Author: Richard J. Gaylord
Publisher: Springer
Total Pages: 266
Release: 2013-12-21
Genre: Science
ISBN: 1468494058

A guide to using Mathematica so as to explore cellular automata within natural phenomena, such as insect colonies, bird flight paths and even DNA sequencing. Designed for physicists, life scientists, and engineers - in fact, everyone dealing with fractals - the book first introduces Mathematica before going on to provide the valuable information needed to properly motivate the code and run the simulations presented in the book. All these simulations have been tested both inside and outside the classroom setting, allowing the book's use as reference material as well as a textbook or course supplement. Packaged together with a DOS diskette enabling cross-platfform access to the code. The files will also be accessible via the World Wide Web.

MathLink ® Paperback with CD-ROM

MathLink ® Paperback with CD-ROM
Author: Chikara Miyaji
Publisher: Cambridge University Press
Total Pages: 268
Release: 2001-07-30
Genre: Computers
ISBN: 9780521645980

This book introduces the basic concepts of MathLink programming within Mathematica.

Stochastic Processes

Stochastic Processes
Author: Peter Watts Jones
Publisher: CRC Press
Total Pages: 233
Release: 2009-10-09
Genre: Mathematics
ISBN: 1420099809

Based on a highly popular, well-established course taught by the authors, Stochastic Processes: An Introduction, Second Edition discusses the modeling and analysis of random experiments using the theory of probability. It focuses on the way in which the results or outcomes of experiments vary and evolve over time. The text begins with a review of relevant fundamental probability. It then covers several basic gambling problems, random walks, and Markov chains. The authors go on to develop random processes continuous in time, including Poisson, birth and death processes, and general population models. While focusing on queues, they present an extended discussion on the analysis of associated stationary processes. The book also explores reliability and other random processes, such as branching processes, martingales, and a simple epidemic. The appendix contains key mathematical results for reference. Ideal for a one-semester course on stochastic processes, this concise, updated textbook makes the material accessible to students by avoiding specialized applications and instead highlighting simple applications and examples. The associated website contains Mathematica® and R programs that offer flexibility in creating graphs and performing computations.

Programming with Mathematica®

Programming with Mathematica®
Author: Paul Wellin
Publisher: Cambridge University Press
Total Pages: 731
Release: 2013-01-10
Genre: Computers
ISBN: 1107009464

This practical, example-driven introduction teaches the foundations of the Mathematica language so it can be applied to solving concrete problems.

Using Mathematica for Quantum Mechanics

Using Mathematica for Quantum Mechanics
Author: Roman Schmied
Publisher: Springer Nature
Total Pages: 202
Release: 2019-09-28
Genre: Science
ISBN: 9811375887

This book revisits many of the problems encountered in introductory quantum mechanics, focusing on computer implementations for finding and visualizing analytical and numerical solutions. It subsequently uses these implementations as building blocks to solve more complex problems, such as coherent laser-driven dynamics in the Rubidium hyperfine structure or the Rashba interaction of an electron moving in 2D. The simulations are highlighted using the programming language Mathematica. No prior knowledge of Mathematica is needed; alternatives, such as Matlab, Python, or Maple, can also be used.

Physics by Computer

Physics by Computer
Author: Wolfgang Kinzel
Publisher: Springer
Total Pages: 291
Release: 2014-08-23
Genre: Science
ISBN: 9783642468414

Using computers to solve problems and model physical problems has fast become an integral part of undergraduate and graduate education in physics. This 3rd year undergraduate and subsequent graduate course is a supplement to courses in theoretical physics and develops problem-solving techniques using the computer. It makes use of the newest version of Mathematica (3.0) while still remaining compatible with older versions The programs using Mathematica 3.0 and C are written for both PCs and workstations, and the problems, source files, and graphic routines help students gain experience from the very beginning.

An Introduction to Modern Mathematical Computing

An Introduction to Modern Mathematical Computing
Author: Jonathan M. Borwein
Publisher: Springer Science & Business Media
Total Pages: 237
Release: 2012-08-07
Genre: Mathematics
ISBN: 1461442532

Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab. We intend to persuade that Mathematica and other similar tools are worth knowing, assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an "experimental mathematician" while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation.