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This book provides a brief introduction to those aspects of Mathematica most needed by students.
Starting with an introduction to the numerous features of Mathematica®, this book continues with more complex material. It provides the reader with lots of examples and illustrations of how the benefits of Mathematica® can be used. Composed of eleven chapters, it includes the following: A chapter on several sorting algorithms Functions (planar and solid) with many interesting examples Ordinary differential equations Advantages of Mathematica® dealing with the Pi number The power of Mathematica® working with optimal control problems Introduction to Mathematica® with Applications will appeal to researchers, professors and students requiring a computational tool.
Updated to conform to Mathematica® 7.0, Introduction to Probability with Mathematica®, Second Edition continues to show students how to easily create simulations from templates and solve problems using Mathematica. It provides a real understanding of probabilistic modeling and the analysis of data and encourages the application of these ideas to practical problems. The accompanying CD-ROM offers instructors the option of creating class notes, demonstrations, and projects. New to the Second Edition Expanded section on Markov chains that includes a study of absorbing chains New sections on order statistics, transformations of multivariate normal random variables, and Brownian motion More example data of the normal distribution More attention on conditional expectation, which has become significant in financial mathematics Additional problems from Actuarial Exam P New appendix that gives a basic introduction to Mathematica New examples, exercises, and data sets, particularly on the bivariate normal distribution New visualization and animation features from Mathematica 7.0 Updated Mathematica notebooks on the CD-ROM (Go to Downloads/Updates tab for link to CD files.) After covering topics in discrete probability, the text presents a fairly standard treatment of common discrete distributions. It then transitions to continuous probability and continuous distributions, including normal, bivariate normal, gamma, and chi-square distributions. The author goes on to examine the history of probability, the laws of large numbers, and the central limit theorem. The final chapter explores stochastic processes and applications, ideal for students in operations research and finance.
The breadth of information about operations research and the overwhelming size of previous sources on the subject make it a difficult topic for non-specialists to grasp. Fortunately, Introduction to the Mathematics of Operations Research with Mathematica®, Second Edition delivers a concise analysis that benefits professionals in operations research and related fields in statistics, management, applied mathematics, and finance. The second edition retains the character of the earlier version, while incorporating developments in the sphere of operations research, technology, and mathematics pedagogy. Covering the topics crucial to applied mathematics, it examines graph theory, linear programming, stochastic processes, and dynamic programming. This self-contained text includes an accompanying electronic version and a package of useful commands. The electronic version is in the form of Mathematica notebooks, enabling you to devise, edit, and execute/reexecute commands, increasing your level of comprehension and problem-solving. Mathematica sharpens the impact of this book by allowing you to conveniently carry out graph algorithms, experiment with large powers of adjacency matrices in order to check the path counting theorem and Markov chains, construct feasible regions of linear programming problems, and use the "dictionary" method to solve these problems. You can also create simulators for Markov chains, Poisson processes, and Brownian motions in Mathematica, increasing your understanding of the defining conditions of these processes. Among many other benefits, Mathematica also promotes recursive solutions for problems related to first passage times and absorption probabilities.
An Introduction to Programming with MathematicaÂ® is designed to introduce the Mathematica programming language to a wide audience. Since the last edition of this book was published, significant changes have occurred in Mathematica and its use worldwide. Keeping pace with these changes, this substantially larger, updated version includes new and revised chapters on numerics, procedural, rule-based, and front-end programming, and gives significant coverage to the latest features up to, and including, Mathematica 5.1 Mathematica notebooks, available from www.cambridge.org/0521846781, contain examples, programs, and solutions to exercises in the book. Additionally, material to supplement later versions of the software will be made available. This is the ideal text for all scientific students, researchers, and programmers wishing to deepen their understanding of Mathematica, or even those keen to program using an interactive language that contains programming paradigms from all major programming languages: procedural, functional, recursive, rule-based, and object-oriented.
An Introduction to Programming with Mathematica is the first book published expressly to teach Mathematica as a programming language to scientists, engineers, mathematicians, and computer scientists. This text may be used in a first or second course on programming at the undergraduate level or in a Mathematica-related course in engineering, mathematics, or the sciences. It is also intended for individual study by students and professionals. The text does not assume familiarity with Mathematica nor does it require any prior programming experience. The book and diskette contain over 200 exercises drawn from many areas of science, engineering, mathematics, and computer science. The 3 1/2'' diskette included with this book can be read by UNIX, IBM-compatible, NeXT, and Macintosh computers. The diskette includes Notebooks and packages containing the code for all of the examples and exercises in the text, as well as additional material extending many of the ideas in the text. The packages will run on any computer running Mathematica and the Notebooks will run on any computer that supports Mathematica Notebooks. Version 2.0 or later of Mathematica is recommended for maximum use of the diskette.
Accompanying the book, as with all TELOS sponsored publications, is an electronic component. In this case it is a DOS-Diskette produced by one of the coauthors, Paul Wellin. This diskette consists of Mathematica notebooks and packages which contain the codes for all examples and exercises in the book, as well as additional materials intended to extend many ideas covered in the text. It is of great value to teachers, students, and others using this book to learn how to effectively program with Mathematica .