Computer Algebra In Science And Engineering

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Computer Algebra In Science And Engineering

J Fleischer,J Grabmeier,Friedrich W Hehl,W Kuchlin
Computer Algebra In Science And Engineering Book PDF

Author : J Fleischer,J Grabmeier,Friedrich W Hehl,W Kuchlin
Publisher : World Scientific
Page : 370 pages
File Size : 46,5 Mb
Release : 1995-08-31
Category : Electronic
ISBN : 9789814549059

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Computer Algebra In Science And Engineering by J Fleischer,J Grabmeier,Friedrich W Hehl,W Kuchlin Pdf

Systems and tools of computer algebra (Like AXIOM, Derive, FORM, Mathematica, Maple, Mupad, REDUCE, Macsyma…) let us manipulate extremely complex algebraic formulae symbolically on a computer. Contrary to numerics these computations are exact and there is no loss of accuracy. After decades of research and development, these tools are now becoming as indispensable in Science and Engineering as traditional number crunching already is.The ZiF'94 workshop is amongst the first devoted specifically to applications of computer algebra (CA) in Science and Engineering. The book documents the state of the art in this area and serves as an important reference for future work.

Computer Algebra in Scientific Computing

Vladimir P. Gerdt,Wolfram Koepf,Werner M. Seiler,Evgenii V. Vorozhtsov
Computer Algebra in Scientific Computing Book PDF

Author : Vladimir P. Gerdt,Wolfram Koepf,Werner M. Seiler,Evgenii V. Vorozhtsov
Publisher : Springer
Page : 379 pages
File Size : 46,7 Mb
Release : 2018-09-03
Category : Computers
ISBN : 9783319996394

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Computer Algebra in Scientific Computing by Vladimir P. Gerdt,Wolfram Koepf,Werner M. Seiler,Evgenii V. Vorozhtsov Pdf

This book constitutes the proceedings of the 20th International Workshop on Computer Algebra in Scientific Computing, CASC 2018, held in Lille, France, in September 2018. The 24 full papers of this volume presented with an abstract of an invited talk and one paper corresponding to another invited talk were carefully reviewed and selected from 29 submissions. They deal with cutting-edge research in all major disciplines of computer algebra in sciences such as physics, chemistry, life sciences, and engineering. Chapter “Positive Solutions of Systems of Signed Parametric Polynomial Inequalities” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Applications of Geometric Algebra in Computer Science and Engineering

Leo Dorst,Chris Doran,Joan Lasenby
Applications of Geometric Algebra in Computer Science and Engineering Book PDF

Author : Leo Dorst,Chris Doran,Joan Lasenby
Publisher : Springer Science & Business Media
Page : 510 pages
File Size : 43,7 Mb
Release : 2002-03-08
Category : Mathematics
ISBN : 0817642676

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Applications of Geometric Algebra in Computer Science and Engineering by Leo Dorst,Chris Doran,Joan Lasenby Pdf

Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed. Features and Topics: * The mathematical foundations of geometric algebra are explored * Applications in computational geometry include models of reflection and ray-tracing and a new and concise characterization of the crystallographic groups * Applications in engineering include robotics, image geometry, control-pose estimation, inverse kinematics and dynamics, control and visual navigation * Applications in physics include rigid-body dynamics, elasticity, and electromagnetism * Chapters dedicated to quantum information theory dealing with multi- particle entanglement, MRI, and relativistic generalizations Practitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a wide range of useful applications in this state-of-the-art survey and reference book. Additionally, advanced graduate students interested in geometric algebra will find the most current applications and methods discussed.

Linear Algebra for Computational Sciences and Engineering

Ferrante Neri
Linear Algebra for Computational Sciences and Engineering Book PDF

Author : Ferrante Neri
Publisher : Springer
Page : 574 pages
File Size : 40,5 Mb
Release : 2019-07-26
Category : Computers
ISBN : 9783030213213

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Linear Algebra for Computational Sciences and Engineering by Ferrante Neri Pdf

This book presents the main concepts of linear algebra from the viewpoint of applied scientists such as computer scientists and engineers, without compromising on mathematical rigor. Based on the idea that computational scientists and engineers need, in both research and professional life, an understanding of theoretical concepts of mathematics in order to be able to propose research advances and innovative solutions, every concept is thoroughly introduced and is accompanied by its informal interpretation. Furthermore, most of the theorems included are first rigorously proved and then shown in practice by a numerical example. When appropriate, topics are presented also by means of pseudocodes, thus highlighting the computer implementation of algebraic theory. It is structured to be accessible to everybody, from students of pure mathematics who are approaching algebra for the first time to researchers and graduate students in applied sciences who need a theoretical manual of algebra to successfully perform their research. Most importantly, this book is designed to be ideal for both theoretical and practical minds and to offer to both alternative and complementary perspectives to study and understand linear algebra.

Geometric Algebra Computing

Eduardo Bayro-Corrochano,Gerik Scheuermann
Geometric Algebra Computing Book PDF

Author : Eduardo Bayro-Corrochano,Gerik Scheuermann
Publisher : Springer Science & Business Media
Page : 527 pages
File Size : 54,8 Mb
Release : 2010-05-19
Category : Computers
ISBN : 9781849961080

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Geometric Algebra Computing by Eduardo Bayro-Corrochano,Gerik Scheuermann Pdf

This useful text offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. Its accessible style is enhanced by examples, figures and experimental analysis.

Computer Algebra in Scientific Computing

Vladimir P. Gerdt,Wolfram Koepf,Ernst W. Mayr,Evgenii V. Vorozhtsov
Computer Algebra in Scientific Computing Book PDF

Author : Vladimir P. Gerdt,Wolfram Koepf,Ernst W. Mayr,Evgenii V. Vorozhtsov
Publisher : Springer Science & Business Media
Page : 368 pages
File Size : 55,8 Mb
Release : 2011-08-26
Category : Computers
ISBN : 9783642235672

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Computer Algebra in Scientific Computing by Vladimir P. Gerdt,Wolfram Koepf,Ernst W. Mayr,Evgenii V. Vorozhtsov Pdf

This book constitutes the refereed proceedings of the 13th International Workshop on Computer Algebra in Scientific Computing, CASC 2011, held in Kassel, Germany, in September 2011. The 26 full papers included in the book were carefully reviewed and selected from numerous submissions. The articles are organized in topical sections on the development of object oriented computer algebra software for the modeling of algebraic structures as typed objects; matrix algorithms; the investigation with the aid of computer algebra; the development of symbolic-numerical algorithms; and the application of symbolic computations in applied problems of physics, mechanics, social science, and engineering.

Modern Computer Algebra

Joachim von zur Gathen,Jürgen Gerhard
Modern Computer Algebra Book PDF

Author : Joachim von zur Gathen,Jürgen Gerhard
Publisher : Cambridge University Press
Page : 811 pages
File Size : 53,9 Mb
Release : 2013-04-25
Category : Computers
ISBN : 9781107245259

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Modern Computer Algebra by Joachim von zur Gathen,Jürgen Gerhard Pdf

Computer algebra systems are now ubiquitous in all areas of science and engineering. This highly successful textbook, widely regarded as the 'bible of computer algebra', gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems. Designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics, its comprehensiveness and reliability has also made it an essential reference for professionals in the area. Special features include: detailed study of algorithms including time analysis; implementation reports on several topics; complete proofs of the mathematical underpinnings; and a wide variety of applications (among others, in chemistry, coding theory, cryptography, computational logic, and the design of calendars and musical scales). A great deal of historical information and illustration enlivens the text. In this third edition, errors have been corrected and much of the Fast Euclidean Algorithm chapter has been renovated.

Computer Algebra in Scientific Computing

Victor G. Ganzha,Victor Grigorʹevich Ganzha,Ernst W. Mayr,Evgenii Vasilʹevich Vorozhtsov
Computer Algebra in Scientific Computing Book PDF

Author : Victor G. Ganzha,Victor Grigorʹevich Ganzha,Ernst W. Mayr,Evgenii Vasilʹevich Vorozhtsov
Publisher : Springer Science & Business Media
Page : 513 pages
File Size : 41,9 Mb
Release : 2005-08-30
Category : Computers
ISBN : 9783540289661

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Computer Algebra in Scientific Computing by Victor G. Ganzha,Victor Grigorʹevich Ganzha,Ernst W. Mayr,Evgenii Vasilʹevich Vorozhtsov Pdf

This book constitutes the refereed proceedings of the 8th International Workshop on Computer Algebra in Scientific Computing, CASC 2005, held in Kalamata, Greece in September 2005. The 41 revised full papers presented were carefully reviewed and selected from 75 submissions. The topics addressed in the workshop cover all the basic areas of scientific computing as they benefit from the application of computer algebra methods and software: algebraic methods for nonlinear polynomial equations and inequalities, symbolic-numeric methods for differential and differential-algebraic equations, algorithmic and complexity considerations in computer algebra, algebraic methods in geometric modelling, aspects of computer algebra programming languages, automatic reasoning in algebra and geometry, complexity of algebraic problems, exact and approximate computation, parallel symbolic-numeric computation, Internet accessible symbolic and numeric computation, problem-solving environments, symbolic and numerical computation in systems engineering and modelling, computer algebra in industry, solving problems in the natural sciences, numerical simulation using computer algebra systems, mathematical communication.

Computer Algebra Handbook

Johannes Grabmeier,Erich Kaltofen,Volker Weispfenning
Computer Algebra Handbook Book PDF

Author : Johannes Grabmeier,Erich Kaltofen,Volker Weispfenning
Publisher : Springer Science & Business Media
Page : 656 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642558269

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Computer Algebra Handbook by Johannes Grabmeier,Erich Kaltofen,Volker Weispfenning Pdf

This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.

Applications of Computer Algebra

Richard Pavelle
Applications of Computer Algebra Book PDF

Author : Richard Pavelle
Publisher : Springer Science & Business Media
Page : 443 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781468468885

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Applications of Computer Algebra by Richard Pavelle Pdf

Today, certain computer software systems exist which surpass the computational ability of researchers when their mathematical techniques are applied to many areas of science and engineering. These computer systems can perform a large portion of the calculations seen in mathematical analysis. Despite this massive power, thousands of people use these systems as a routine resource for everyday calculations. These software programs are commonly called "Computer Algebra" systems. They have names such as MACSYMA, MAPLE, muMATH, REDUCE and SMP. They are receiving credit as a computational aid with in creasing regularity in articles in the scientific and engineering literature. When most people think about computers and scientific research these days, they imagine a machine grinding away, processing numbers arithmetically. It is not generally realized that, for a number of years, computers have been performing non-numeric computations. This means, for example, that one inputs an equa tion and obtains a closed form analytic answer. It is these Computer Algebra systems, their capabilities, and applications which are the subject of the papers in this volume.

Computer Algebra Recipes

Richard Enns,George C. McGuire
Computer Algebra Recipes Book PDF

Author : Richard Enns,George C. McGuire
Publisher : Springer Science & Business Media
Page : 785 pages
File Size : 40,7 Mb
Release : 2013-03-07
Category : Mathematics
ISBN : 9781461301714

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Computer Algebra Recipes by Richard Enns,George C. McGuire Pdf

Computer algebra systems allow students to work on mathematical models more efficiently than in the case of pencil and paper. The use of such systems also leads to fewer errors and enables students to work on complex and computationally intensive models. Aimed at undergraduates in their second or third year, this book is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, physics, and chemistry. The text includes a large number of Maple(R) recipes.

Computer Science with MATHEMATICA ®

Roman E. Maeder
Computer Science with MATHEMATICA Book PDF

Author : Roman E. Maeder
Publisher : Cambridge University Press
Page : 410 pages
File Size : 52,6 Mb
Release : 2000-02-28
Category : Computers
ISBN : 0521631726

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Computer Science with MATHEMATICA ® by Roman E. Maeder Pdf

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. Covering the latest release of Mathematica, the book includes useful tips and techniques to help even seasoned users.

Computer Algebra in Scientific Computing

François Boulier,Matthew England,Timur M. Sadykov,Evgenii V. Vorozhtsov
Computer Algebra in Scientific Computing Book PDF

Author : François Boulier,Matthew England,Timur M. Sadykov,Evgenii V. Vorozhtsov
Publisher : Springer Nature
Page : 644 pages
File Size : 53,5 Mb
Release : 2020-10-17
Category : Computers
ISBN : 9783030600266

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Computer Algebra in Scientific Computing by François Boulier,Matthew England,Timur M. Sadykov,Evgenii V. Vorozhtsov Pdf

This book constitutes the refereed proceedings of the 22nd International Workshop on Computer Algebra in Scientific Computing, CASC 2020, held in Linz, Austria, in September 2020. The conference was held virtually due to the COVID-19 pandemic. The 34 full papers presented together with 2 invited talks were carefully reviewed and selected from 41 submissions. They deal with cutting-edge research in all major disciplines of computer algebra. The papers cover topics such as polynomial algebra, symbolic and symbolic-numerical computation, applications of symbolic computation for investigating and solving ordinary differential equations, applications of CAS in the investigation and solution of celestial mechanics problems, and in mechanics, physics, and robotics.

Applications of Geometric Algebra in Computer Science and Engineering

Leo Dorst,Chris Doran,Joan Lasenby
Applications of Geometric Algebra in Computer Science and Engineering Book PDF

Author : Leo Dorst,Chris Doran,Joan Lasenby
Publisher : Springer Science & Business Media
Page : 479 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200895

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Applications of Geometric Algebra in Computer Science and Engineering by Leo Dorst,Chris Doran,Joan Lasenby Pdf

Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed. Features and Topics: * The mathematical foundations of geometric algebra are explored * Applications in computational geometry include models of reflection and ray-tracing and a new and concise characterization of the crystallographic groups * Applications in engineering include robotics, image geometry, control-pose estimation, inverse kinematics and dynamics, control and visual navigation * Applications in physics include rigid-body dynamics, elasticity, and electromagnetism * Chapters dedicated to quantum information theory dealing with multi- particle entanglement, MRI, and relativistic generalizations Practitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a wide range of useful applications in this state-of-the-art survey and reference book. Additionally, advanced graduate students interested in geometric algebra will find the most current applications and methods discussed.

Geometric Algebra for Computer Science

Leo Dorst,Daniel Fontijne,Stephen Mann
Geometric Algebra for Computer Science Book PDF

Author : Leo Dorst,Daniel Fontijne,Stephen Mann
Publisher : Elsevier
Page : 664 pages
File Size : 45,5 Mb
Release : 2010-07-26
Category : Juvenile Nonfiction
ISBN : 9780080553108

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Geometric Algebra for Computer Science by Leo Dorst,Daniel Fontijne,Stephen Mann Pdf

Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down. * The first book on Geometric Algebra for programmers in computer graphics and entertainment computing * Written by leaders in the field providing essential information on this new technique for 3D graphics * This full colour book includes a website with GAViewer, a program to experiment with GA