Mathematical Computing

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Numerical Mathematics And Computing

Author : E. Ward Cheney
ISBN : 9781133103714
Genre : Mathematics
File Size : 81.57 MB
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Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. NUMERICAL MATHEMATICS AND COMPUTING, 7th Edition also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Category: Mathematics

Mathematical Computing

Author : David Betounes
ISBN : 9781461300670
Genre : Computers
File Size : 53.56 MB
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This book teaches introductory computer programming using Maple, offering more mathematically oriented exercises and problems than those found in traditional programming courses, while reinforcing and applying concepts and techniques of calculus. Includes case studies.
Category: Computers

An Introduction To Modern Mathematical Computing

Author : Jonathan M. Borwein
ISBN : 9781461442530
Genre : Mathematics
File Size : 74.74 MB
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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.
Category: Mathematics

Artificial Intelligence And Symbolic Mathematical Computing

Author : Jacques Calmet
ISBN : 3540573224
Genre : Computers
File Size : 55.66 MB
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This volume contains the papers, updated in some cases, presented at the first AISMC (Artificial Intelligence and Symbolic Mathematical Computations)conference, held in Karlsruhe, August 3-6, 1992. This was the first conference to be devoted to such a topic after a long period when SMC made no appearance in AI conferences, though it used to be welcome in the early days of AI. Some conferences were held recently on mathematics and AI, but none was directly comparable in scope to this conference. Because of the novelty of the domain, authors were given longer allocations of time than usual in which to present their work. As a result, extended and fruitful discussions followed each paper. The introductory chapter in this book, which was not presented during the conference, reflects in many ways the flavor of these discussions and aims to set out the framework for future activities in this domain of research. In addition to the introduction, the volume contains 20 papers.
Category: Computers

Discrete Mathematics For Computing

Author : Peter Grossman
ISBN : 9780230374058
Genre : Computers
File Size : 79.9 MB
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Discrete Mathematics for Computing presents the essential mathematics needed for the study of computing and information systems. The subject is covered in a gentle and informal style, but without compromising the need for correct methodology. It is perfect for students with a limited background in mathematics. This new edition includes: • An expanded section on encryption • Additional examples of the ways in which theory can be applied to problems in computing • Many more exercises covering a range of levels, from the basic to the more advanced This book is ideal for students taking a one-semester introductory course in discrete mathematics - particularly for first year undergraduates studying Computing and Information Systems. PETER GROSSMAN has worked in both MA26 and industrial roles as a mathematician and computing professional. As a lecturer in mathematics, he was responsible for coordinating and developing mathematics courses for Computing students. He has also applied his skills in areas as diverse as calculator design, irrigation systems and underground mine layouts. He lives and works in Melbourne, Australia.
Category: Computers

Mathematics For Computing

Author : Robert Callan
ISBN : 1858053757
Genre : Computers
File Size : 46.26 MB
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This book provides an approachable introduction to mathematical concepts explaining their importance and how they fit into the study of computing. It is written for students who are taking a first unit in 'Computing Mathematics' as part of a Computing Degree or HND. Relating theory to practice helps demonstrate difficult concepts to students. The author therefore concludes most topics with a short discussion of some areas of application to aid comprehension. Self-test questions are included in each chapter to allow the reader to review a topic and check their understanding before progressing. This book provides an approachable introduction to mathematical concepts explaining their importance and how they fit into the study of computing. It is written for students who are taking a first unit in 'Computing Mathematics' as part of a Computing Degree or HND. Relating theory to practice helps demonstrate difficult concepts to students. The author therefore concludes most topics with a short discussion of some areas of application to aid comprehension. Self-test questions are included in each chapter to allow the reader to review a topic and check their understanding before progressing.
Category: Computers

Mathematical Foundations Of Parallel Computing

Author : Valentin V. Voevodin
ISBN : 9810208200
Genre : Computers
File Size : 56.7 MB
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Parallel implementation of algorithms involves many difficult problems. In particular among them are round-off analysis, the way to convert sequential programs and algorithms into the parallel mode, the choice of appropriate or optimal computer architect and so on. To solve these problems, it is necessary to know very well the structure of algorithms. This book deal with the mathematical mechanism that permits us to investigate structures of both sequential and parallel algorithms. This mechanism allows us to recognize and explain the relations between different methods of constructing parallel algorithms, the methods of analysing round-off errors, the methods of optimizing memory traffic, the methods of working out the fastest implementation for a given parallel computer and other methods attending the joint investigation of algorithms and computers.
Category: Computers

Mathematical Aspects Of Quantum Computing 2007

Author : Mikio Nakahara
ISBN : 9789812814487
Genre : Computers
File Size : 74.68 MB
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Quantum computing: an overview / M. Nakahara -- Braid group and topological quantum computing / T. Ootsuka, K. Sakuma -- An introduction to entanglement theory / D.J.H. Markham -- Holonomic quantum computing and its optimization / S. Tanimura -- Playing games in quantum mechanical settings: features of quantum games / S̮. K. Özdemir, J. Shimamura, N. Imoto -- Quantum error-correcting codes / M. Hagiwara -- Poster summaries. Controled teleportation of an arbitrary unknown two-qubit entangled state / V. Ebrahimi, R. Rahimi, M. Nakahara. Notes on the Dür-Cirac classification / Y. Ota, M. Yoshida, I. Ohba. Bang-bang control of entanglement in Spin-Bus-Boson model / R. Rahimi, A. SaiToh, M. Nakahara. Numerical computation of time-dependent multipartite nonclassical correlation / A. SaiToh [und weitere]. On classical no-cloning theorem under Liouville dynamics and distances / T. Yamano, O. Iguchi
Category: Computers

Artificial And Mathematical Theory Of Computation

Author : Vladimir Lifschitz
ISBN : 9780323148313
Genre : Computers
File Size : 28.37 MB
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Artificial and Mathematical Theory of Computation is a collection of papers that discusses the technical, historical, and philosophical problems related to artificial intelligence and the mathematical theory of computation. Papers cover the logical approach to artificial intelligence; knowledge representation and common sense reasoning; automated deduction; logic programming; nonmonotonic reasoning and circumscription. One paper suggests that the design of parallel programming languages will invariably become more sophisticated as human skill in programming and software developments improves to attain faster running programs. An example of metaprogramming to systems concerns the design and control of operations of factory devices, such as robots and numerically controlled machine tools. Metaprogramming involves two design aspects: that of the activity of a single device and that of the interaction with other devices. One paper cites the application of artificial intelligence pertaining to the project "proof checker for first-order logic" at the Stanford Artificial Intelligence Laboratory. Another paper explains why the bisection algorithm widely used in computer science does not work. This book can prove valuable to engineers and researchers of electrical, computer, and mechanical engineering, as well as, for computer programmers and designers of industrial processes.
Category: Computers

Mathematical Principles For Scientific Computing And Visualization

Author : Gerald Farin
ISBN : 9781568813219
Genre : Mathematics
File Size : 81.85 MB
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This non-traditional introduction to the mathematics of scientific computation describes the principles behind the major methods, from statistics, applied mathematics, scientific visualization, and elsewhere, in a way that is accessible to a large part of the scientific community. Introductory material includes computational basics, a review of coordinate systems, an introduction to facets (planes and triangle meshes) and an introduction to computer graphics. The scientific computing part of the book covers topics in numerical linear algebra (basics, solving linear system, eigen-problems, SVD, and PCA) and numerical calculus (basics, data fitting, dynamic processes, root finding, and multivariate functions). The visualization component of the book is separated into three parts: empirical data, scalar values over 2D data, and volumes.
Category: Mathematics

Mathematical Computation With Maple V Ideas And Applications

Author : Thomas Lee
ISBN : 0817637249
Genre : Mathematics
File Size : 27.89 MB
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The Maple Summer Workshop and Symposium is an annual event that provides a forum for exchanging techniques and ideas on applied and innovative uses of Maple V software. Mathematicians, scientists, and engineers involved in research industrial applications, or who teach mathematical computation, will find in the formal presentations in this book a helpful guide to the practical use of Maple V, Release 2. Contents and Contributiors Preface I. Maple V in Education Introductory Quantum Mechanics Using Maple V -Y. Abe Combinatorial Objects and their Generating Functions: A Maple Class Room Environment -J.S. Devitt Experiences with Maple in Engineering Education at the University of Waterloo -M. Fofana, I. LeGrow, and S. Carr On Itegrating Computers into the Physics Curriculum -R.L. Greene Using Maple and the Calculus Reform Material in the Calculus Sequence-D.C. Royster Interactive Mathematics Texts: Ideas for Developers -C. Scheftic II. Maple V in Mathematics Truncation and Variance in Scale Mixtures -W.C. Bauldry and J.L. Hebert Working with Large Matrices in Maple -R. Pinchback Using Maple for Asymptotic Convergence Analysis -N.H. Rhee An Algorithm to Compute Floating Point Groebner Bases -K. Shirayanagi III. Maple V in Science and Engineering Part A: Modeling and Simulation The Use of Maple for Multibody Systems Modeling and Simulation -P. Capolsini Sensitivity Analysis of Nonlinear Physical Systems Using Maple -S. Carr and G.J. Savage Exact Calculation of the Kaplan-Meier Bias using Maple Software -B. Gillespie and J. Uro Rotational Energy Dispersions for van der Waals Molecular Clusters -L.L. Lohr and C.H. Huben Symbolic Computation in Computable General Equilibrium Modeling -T.T. Nguyen Calculation of the State Transition Matrix for Linear Time Varying Systems -J. Watkins and S. Yurkovich IV. Maple V in Science and Engineering Part B: Design Algebraic Computer Aided-Design with Maple V2 -C.T. Lim, M.T. Ensz, M.A. Ganter, and D.W. Storti The Role of a Symbolic Programming Language in Hardware Verification: The Case of Maple -F. Mavaddat A Symbolic CSG System Writtten in Maple V -D. Thompson, T. Trias, and L. Leff
Category: Mathematics

High Performance Networking Computing Communication Systems And Mathematical Foundations

Author : Yanwen Wu
ISBN : 9783642116179
Genre : Computers
File Size : 34.29 MB
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This volume constitutes the refereed proceedings of the International Conference on High Performance Networking, Computing and Communication Systems, and the International Conference on Theoretical and Mathematical Foundations of Computer Science ( ICHCC -ICTMF 2009), held in Sanya, Hainan Island, China, in December 2009. The 15 revised full papers presented were carefully reviewed and selected out of 60 submissions. They range on the various aspects of advances in High Performance Networking, Computing, Communication Systems and Mathematical Foundations.
Category: Computers

Lectures On Mathematical Computing With Python

Author : Jay Gopalakrishnan
ISBN : OCLC:1179159859
Genre : Computer science
File Size : 27.7 MB
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This open resource is a collection of class activities for use in undergraduate courses aimed at teaching mathematical computing, and computational thinking in general, using the python programming language. It was developed for a second-year course (MTH 271) revamped for a new undergraduate program in data science at Portland State University. The activities are designed to guide students use python modules effectively for scientific computation, data analysis, and visualization.
Category: Computer science

Mathematical Foundations Of Computer Science 2005

Author : Joanna Jedrzejowicz
ISBN : 9783540287025
Genre : Computers
File Size : 45.19 MB
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This book constitutes the refereed proceedings of the 30th International Symposium on Mathematical Foundations of Computer Science, MFCS 2005, held in Gdansk, Poland in August/September 2005. The 62 revised full papers presented together with full papers or abstracts of 7 invited talks were carefully reviewed and selected from 137 submissions. All current aspects in theoretical computer science are addressed, ranging from quantum computing, approximation, automata, circuits, scheduling, games, languages, discrete mathematics, combinatorial optimization, graph theory, networking, algorithms, and complexity to programming theory, formal methods, and mathematical logic.
Category: Computers

Theoretical And Mathematical Foundations Of Computer Science

Author : Qihai Zhou
ISBN : 9783642249990
Genre : Computers
File Size : 76.1 MB
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This book constitutes the refereed post-proceedings of the Second International Conference on Theoretical and Mathematical Foundations of Computer Science, ICTMF 2011, held in Singapore in May 2011. The conference was held together with the Second International Conference on High Performance Networking, Computing, and Communication systems, ICHCC 2011, which proceedings are published in CCIS 163. The 84 revised selected papers presented were carefully reviewed and selected for inclusion in the book. The topics covered range from computational science, engineering and technology to digital signal processing, and computational biology to game theory, and other related topices.
Category: Computers

Personal Mathematics And Computing

Author : Frank Wattenberg
ISBN : UOM:39015024999842
Genre : Computers
File Size : 64.40 MB
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Computers can be effective tools for participating in the affairs of the world. They can also be used by the "experts" to erect barriers to participation. This book is a self-contained tutorial that can assist any reader with a background in high school mathematics in learning how to apply personal computing to enhance his or her understanding of modern quantitative methods in such areas as politics and economics, in environment and ecology, or in probability and statistics.The first part briefly introduces programming in True BASIC and includes eight programming projects that teach by example. These illustrate a variety of interesting applications and methods of computer-based quantitative reasoning - in lotteries and property taxes, in the law of supply and demand and the laws of chance (ESP, dice rolling, coin flipping, test taking), and in the use of peremptory challenges in jury selection.The remainder of the book applies mathematics and computing to real problems. Here the emphasis is on the art of expressing problems in ways that are amenable to computer analysis, with "assignments" for writing a number of computer programs for a wide variety of applications - in probability and statistics (a statistical comparison of two popular beers with the aid of a random number generator, a comparison of two roulette strategies, a statistical analysis of polling results, the Bell-Shaped Curve, and an analysis of a program aimed at reducing recidivism), in economic modeling (changing prices, inflation, mathematical tools for decision making, game theory), in optics (Fermat's principle, reflection and refraction, light caustics, funhouse mirrors, and an optical paradox), in Massachusetts local aid distribution, and in population models and ecology.Frank Wattenberg is Professor of Mathematics at the University of Massachusetts, Amherst.
Category: Computers