Real Computing Made Real

Download or read book Real Computing Made Real written by Forman S. Acton and published by Courier Corporation. This book was released on 2013-01-18 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise guide to trouble-shooting offers practical advice on detecting and removing the bugs, preserving significant figures, avoiding extraneous solutions, and finding efficient iterative processes for solving nonlinear equations. 1996 edition.

Download or read book Numerical Methods that Work written by Forman S. Acton and published by American Mathematical Soc.. This book was released on 2020-07-31 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book What Can Be Computed? written by John MacCormick and published by Princeton University Press. This book was released on 2018-05-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible and rigorous textbook for introducing undergraduates to computer science theory What Can Be Computed? is a uniquely accessible yet rigorous introduction to the most profound ideas at the heart of computer science. Crafted specifically for undergraduates who are studying the subject for the first time, and requiring minimal prerequisites, the book focuses on the essential fundamentals of computer science theory and features a practical approach that uses real computer programs (Python and Java) and encourages active experimentation. It is also ideal for self-study and reference. The book covers the standard topics in the theory of computation, including Turing machines and finite automata, universal computation, nondeterminism, Turing and Karp reductions, undecidability, time-complexity classes such as P and NP, and NP-completeness, including the Cook-Levin Theorem. But the book also provides a broader view of computer science and its historical development, with discussions of Turing's original 1936 computing machines, the connections between undecidability and Gödel's incompleteness theorem, and Karp's famous set of twenty-one NP-complete problems. Throughout, the book recasts traditional computer science concepts by considering how computer programs are used to solve real problems. Standard theorems are stated and proven with full mathematical rigor, but motivation and understanding are enhanced by considering concrete implementations. The book's examples and other content allow readers to view demonstrations of—and to experiment with—a wide selection of the topics it covers. The result is an ideal text for an introduction to the theory of computation. An accessible and rigorous introduction to the essential fundamentals of computer science theory, written specifically for undergraduates taking introduction to the theory of computation Features a practical, interactive approach using real computer programs (Python in the text, with forthcoming Java alternatives online) to enhance motivation and understanding Gives equal emphasis to computability and complexity Includes special topics that demonstrate the profound nature of key ideas in the theory of computation Lecture slides and Python programs are available at whatcanbecomputed.com

Download or read book Accuracy and Reliability in Scientific Computing written by Bo Einarsson and published by SIAM. This book was released on 2005-01-01 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical software is used to test scientific theories, design airplanes and bridges, operate manufacturing lines, control power plants and refineries, analyze financial derivatives, identify genomes, and provide the understanding necessary to derive and analyze cancer treatments. Because of the high stakes involved, it is essential that results computed using software be accurate, reliable, and robust. Unfortunately, developing accurate and reliable scientific software is notoriously difficult. This book investigates some of the difficulties related to scientific computing and provides insight into how to overcome them and obtain dependable results. The tools to assess existing scientific applications are described, and a variety of techniques that can improve the accuracy and reliability of newly developed applications is discussed. Accuracy and Reliability in Scientific Computing can be considered a handbook for improving the quality of scientific computing. It will help computer scientists address the problems that affect software in general as well as the particular challenges of numerical computation: approximations occurring at all levels, continuous functions replaced by discretized versions, infinite processes replaced by finite ones, and real numbers replaced by finite precision numbers. Divided into three parts, it starts by illustrating some of the difficulties in producing robust and reliable scientific software. Well-known cases of failure are reviewed and the what and why of numerical computations are considered. The second section describes diagnostic tools that can be used to assess the accuracy and reliability of existing scientific applications. In the last section, the authors describe a variety of techniques that can be employed to improve the accuracy and reliability of newly developed scientific applications. The authors of the individual chapters are international experts, many of them members of the IFIP Working Group on Numerical Software.

Download or read book Introduction to the Simulation of Dynamics Using Simulink written by Michael A. Gray and published by CRC Press. This book was released on 2010-07-02 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for undergraduate students in the general science, engineering, and mathematics community, Introduction to the Simulation of Dynamics Using Simulink® shows how to use the powerful tool of Simulink to investigate and form intuitions about the behavior of dynamical systems. Requiring no prior programming experience, it clearly explains how to transition from physical models described by mathematical equations directly to executable Simulink simulations. Teaches students how to model and explore the dynamics of systems Step by step, the author presents the basics of building a simulation in Simulink. He begins with finite difference equations and simple discrete models, such as annual population models, to introduce the concept of state. The text then covers ordinary differential equations, numerical integration algorithms, and time-step simulation. The final chapter offers overviews of some advanced topics, including the simulation of chaotic dynamics and partial differential equations. A one-semester undergraduate course on simulation Written in an informal, accessible style, this guide includes many diagrams and graphics as well as exercises embedded within the text. It also draws on numerous examples from the science, engineering, and technology fields. The book deepens students’ understanding of simulated systems and prepares them for advanced and specialized studies in simulation. Ancillary materials are available at http://nw08.american.edu/~gray

Download or read book Computing for Ordinary Mortals written by Robert St. Amant and published by Oxford University Press. This book was released on 2012-10-29 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing isn't only (or even mostly) about hardware and software; it's also about the ideas behind the technology. In Computing for Ordinary Mortals, computer scientist Robert St. Amant explains this "really interesting part" of computing, introducing basic computing concepts and strategies in a way that readers without a technical background can understand and appreciate. Each of the chapters illustrates ideas from a different area of computing, and together they provide important insights into what drives the field as a whole. St. Amant starts off with an overview of basic concepts as well as a brief history of the earliest computers, and then he traces two different threads through the fabric of computing. One thread is practical, illuminating the architecture of a computer and showing how this architecture makes computation efficient. St. Amant shows us how to write down instructions so that a computer can accomplish specific tasks (programming), how the computer manages those tasks as it runs (in its operating system), and how computers can communicate with each other (over a network). The other thread is theoretical, describing how computers are, in the abstract, machines for solving problems. Some of these ideas are embedded in much of what we do as humans, and thus this discussion can also give us insight into our own daily activities, how we interact with other people, and in some cases even what's going on in our heads. St. Amant concludes with artificial intelligence, exploring the possibility that computers might eventually be capable of human-level intelligence, and human-computer interaction, showing how computers can enrich our lives--and how they fall short.

Download or read book Numerical Methods in Physics with Python written by Alex Gezerlis and published by Cambridge University Press. This book was released on 2023-07-31 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: A standalone text on computational physics combining idiomatic Python, foundational numerical methods, and physics applications.