Modelling Stochastic Fibrous Materials with Mathematica
Book Details:
Pages: | 277 |
Published: | Oct 28 2008 |
Posted: | Nov 19 2014 |
Language: | English |
Book format: | PDF |
Book size: | 8.18 MB |
Book Description:
Developments in the use of electrospun fibrous materials, for application in tissue engineering and in carbon fibrous materials in fuel cells, has generated new interest in the dependence of the properties and structure of these materials on those of their constituent fibres. Modelling Stochastic Fibrous Materials with Mathematica provides an overview of the structure of stochastic fibrous materials, and the use of Mathematica to develop models describing their structure and performance. The book introduces the techniques of statistical geometry and probabilistic modelling for non-mathematicians, and assumes no previous experience of Mathematica. Using accessible notation and by providing examples of Mathematica code, expressions are derived for the structural characteristics of stochastic fibrous materials providing insights into the ways these depend upon each other and the extent to which they can be modified in the laboratory or in a manufacturing environment.
Theory and Practice for Science, Mathematics, and Engineering
Computer algebra systems have revolutionized the use of computers within mathematics research, and are currently extending that revolution to the undergraduate mathematics curriculum. But the power of such systems goes beyond simple algebraic or numerical manipulation. In this practical resource Roman Maeder shows how computer-aided mathematics has reached a level where it can support effectively many of the computations in science and engineering. Besides treating traditional computer science topics, he demonstrates how scientists and engineers can use these computer-based tools to do scientific computations. A valuable text for computer science courses for scientists and engineers, this book will also prove useful to Mathematica users at all levels...
Fractals, Julia Sets, Patterns and Natural Forms
In this book we generate graphic images using the software Mathematica thus providing a gentle and enjoyable introduction to this rather technical software and its graphic capabilities. The programs we use for generating these graphics are easily adaptable to many variations.These graphic images are enhanced by introducing a variety of different coloring techniques.Detailed instructions are given for the construction of some interesting 2D and 3D fractals using iterated functions systems as well as the construction of many different types of Julia sets and parameter sets such as the Mandelbrot set.The mathematics underlying the theory of Iterated function systems and Julia sets is given an intuitive explanation, and references are provided for more d...
Theory and Practice for Science, Mathematics and Engineering
Computer algebra systems have revolutionized the use of computers within mathematics research, and are currently extending that revolution to the undergraduate mathematics curriculum. But the power of such systems goes beyond simple algebraic or numerical manipulation. This book shows how computer-aided mathematics has reached a level where it can support effectively many of the computations in science and engineering. In addition to treating traditional computer science topics, an introductory course should show scientists and engineers how these computer-based tools can be used to do scientific computations. A valuable text for computer science courses for scientists and engineers, this book should also prove useful to Mathematica users at all leve...
2007 - 2021 © eBooks-IT.org