Author: Duncan Marsh
Publisher: Springer Science & Business Media
Release Date: 2005-01-03
Focussing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). New features in this revised and updated edition include: the application of quaternions to computer graphics animation and orientation; discussions of the main geometric CAD surface operations and constructions: extruded, rotated and swept surfaces; offset surfaces; thickening and shelling; and skin and loft surfaces; an introduction to rendering methods in computer graphics and CAD: colour, illumination models, shading algorithms, silhouettes and shadows. Over 300 exercises are included, many of which encourage the reader to implement the techniques and algorithms discussed through the use of a computer package with graphing and computer algebra capabilities. A dedicated website also offers further resources and links to other useful websites.
Author: Adrian B. Biran
Publisher: CRC Press
Release Date: 2010-07-20
MATLAB® can be used to execute many mathematical and engineering calculations, as well as a handheld computer can—if not better. Moreover, like many other computer languages, it can perform tasks that a handheld computer cannot. Compared to other computer languages, MATLAB provides many built-in functions that make learning easier and reduce prototyping time. Simulink® is a toolbox that extends the possibilities of MATLAB by providing a graphical interface for modeling and simulating dynamical processes. Using examples from mathematics, mechanical and electrical engineering, and control and signal processing, What Every Engineer Should Know About MATLAB® and Simulink® provides an introduction to these two computer environments and examines the advantages and limitations of MATLAB. It first explores the benefits of how to use MATLAB to solve problems and then process and present calculations and experimental results. This book also briefly introduces the reader to more advanced features of the software, such as object-oriented programming (OOP), and it draws the attention to some specialized toolboxes. Key features of the book include demonstrations of how to: Visualize the results of calculations in various kinds of graphical representations Write useful script files and functions for solving specific problems Avoid disastrous computational errors Convert calculations into technical reports and insert calculations and graphs into either MS Word or LaTeX This book illustrates the limitations of the computer, as well as the implications associated with errors that can result from approximations or numerical errors. Using selected examples of computer-aided errors, the author explains that the set of computer numbers is discrete and bounded—a feature that can cause catastrophic errors if not properly taken into account. In conjunction with The Mathworks—marketers of MATLAB and Simulink—a supplementary website is presented to offer access to software implemented in the book and the script files used to produce the figures. This book was written by Adrian B. Biran of Technion -- Israel Institute of Technology, with contributions by Moshe Breiner, managing director of SimACon.
Author: Wendy Arnone
Publisher: John Wiley & Sons
Release Date: 2013-01-14
Dreiecke, Rechtecke, Quader; alles schon einmal geh?rt. Aber wie rechnet man noch einmal ihre Fl?cheninhalte aus? Wie kommt man noch einmal auf die Winkelhalbierenden und wo schneiden sie sich? Es ist ganz einfach. Versprochen. Man muss nur wissen, wann welche Rechnung wo die richtige ist. ?Geometrie f?r Dummies? erkl?rt den Lesern, wie sie zu den richtigen Ergebnissen kommen, wie sie die Geometrie beherrschen und nicht die Geometrie sie. Das Buch nimmt dieser Disziplin der Mathematik auf nette Art den Schrecken.
Author: John Haigh
Publisher: Springer Science & Business Media
Release Date: 2013-07-04
The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability, such as that of a dice or cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise. Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. This textbook contains many worked examples and several chapters have been updated and expanded for the second edition. Some mathematical knowledge is assumed. The reader should have the ability to work with unions, intersections and complements of sets; a good facility with calculus, including integration, sequences and series; and appreciation of the logical development of an argument. Probability Models is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics.