Geometric Algebra Computing

Geometric Algebra Computing
Author: Eduardo Bayro-Corrochano
Publisher: Springer Science & Business Media
Total Pages: 527
Release: 2010-05-19
Genre: Computers
ISBN: 1849961085

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 Science And Engineering

Computer Algebra In Science And Engineering
Author: J Fleischer
Publisher: World Scientific
Total Pages: 370
Release: 1995-08-31
Genre:
ISBN: 9814549053

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.

An Introduction to Linear Algebra for Science and Engineering

An Introduction to Linear Algebra for Science and Engineering
Author: Daniel Norman
Publisher:
Total Pages: 528
Release: 2011-12-15
Genre: Algebras, Linear
ISBN: 9780321748966

Norman/Wolczuk's An Introduction to Linear Algebra for Science and Engineering has been widely respected for its unique approach, which helps students understand and apply theory and concepts by combining theory with computations and slowly bringing students to the difficult abstract concepts. This approach includes an early treatment of vector spaces and complex topics in a simpler, geometric context. An Introduction to Linear Algebra for Science and Engineering promotes advanced thinking and understanding by encouraging students to make connections between previously learned and new concepts and demonstrates the importance of each topic through applications. NEW! MyMathLab is now available for this text. The course features assignable homework exercises plus the complete eBook, in addition to tutorial and assessment tools that make it easy to manage your course online.

Computer Algebra Handbook

Computer Algebra Handbook
Author: Johannes Grabmeier
Publisher: Springer Science & Business Media
Total Pages: 656
Release: 2012-12-06
Genre: Computers
ISBN: 3642558267

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 Geometric Algebra in Computer Science and Engineering

Applications of Geometric Algebra in Computer Science and Engineering
Author: Leo Dorst
Publisher: Springer Science & Business Media
Total Pages: 479
Release: 2012-12-06
Genre: Mathematics
ISBN: 146120089X

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.

Computer Algebra in Scientific Computing

Computer Algebra in Scientific Computing
Author: Vladimir P. Gerdt
Publisher: Springer
Total Pages: 390
Release: 2018-09-03
Genre: Computers
ISBN: 3319996398

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.

Modern Computer Algebra

Modern Computer Algebra
Author: Joachim von zur Gathen
Publisher: Cambridge University Press
Total Pages: 811
Release: 2013-04-25
Genre: Computers
ISBN: 1107039037

Now in its third edition, this highly successful textbook is widely regarded as the 'bible of computer algebra'.

Linear Algebra for Computational Sciences and Engineering

Linear Algebra for Computational Sciences and Engineering
Author: Ferrante Neri
Publisher: Springer
Total Pages: 574
Release: 2019-07-26
Genre: Computers
ISBN: 3030213218

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.

Computer Algebra in Scientific Computing

Computer Algebra in Scientific Computing
Author: Vladimir P. Gerdt
Publisher: Springer
Total Pages: 368
Release: 2011-09-01
Genre: Computers
ISBN: 3642235689

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.