Computer Algebra And Materials Physics

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Computer Algebra and Materials Physics

Author : Akihito Kikuchi
Publisher : Springer
ISBN 13 : 3319942263
Total Pages : 159 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Computer Algebra and Materials Physics by : Akihito Kikuchi

Download or read book Computer Algebra and Materials Physics written by Akihito Kikuchi and published by Springer. This book was released on 2018-06-26 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as an introductory lecture in material physics, in which the modern computational group theory and the electronic structure calculation are in collaboration. The first part explains how to use computer algebra for applications in solid-state simulation, based on the GAP computer algebra package. Computer algebra enables us to easily obtain various group theoretical properties, such as the representations, character tables, and subgroups. Furthermore it offers a new perspective on material design, which could be executed in a mathematically rigorous and systematic way. The second part then analyzes the relation between the structural symmetry and the electronic structure in C60 (as an example of a system without periodicity). The principal object of the study was to illustrate the hierarchical change in the quantum-physical properties of the molecule, which correlates to the reduction in the symmetry (as it descends down in the ladder of subgroups). The book also presents the computation of the vibrational modes of the C60 by means of the computer algebra. In order to serve the common interests of researchers, the details of the computations (the required initial data and the small programs developed for the purpose) are explained in as much detail as possible.

Physics with MAPLE

Author : Frank Y. Wang
Publisher : John Wiley & Sons
ISBN 13 : 3527618945
Total Pages : 625 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Physics with MAPLE by : Frank Y. Wang

Download or read book Physics with MAPLE written by Frank Y. Wang and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by an experienced physicist who is active in applying computer algebra to relativistic astrophysics and education, this is the resource for mathematical methods in physics using MapleTM and MathematicaTM. Through in-depth problems from core courses in the physics curriculum, the author guides students to apply analytical and numerical techniques in mathematical physics, and present the results in interactive graphics. Around 180 simulating exercises are included to facilitate learning by examples. This book is a must-have for students of physics, electrical and mechanical engineering, materials scientists, lecturers in physics, and university libraries. * Free online MapleTM material at http://www.wiley-vch.de/templates/pdf/maplephysics.zip * Free online MathematicaTM material at http://www.wiley-vch.de/templates/pdf/physicswithmathematica.zip * Solutions manual for lecturers available at www.wiley-vch.de/supplements/

Computer Algebra in Quantum Field Theory

Author : Carsten Schneider
Publisher : Springer Science & Business Media
ISBN 13 : 3709116163
Total Pages : 422 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Computer Algebra in Quantum Field Theory by : Carsten Schneider

Download or read book Computer Algebra in Quantum Field Theory written by Carsten Schneider and published by Springer Science & Business Media. This book was released on 2013-10-05 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.

Computer Algebra Handbook

Author : Johannes Grabmeier
Publisher : Springer Science & Business Media
ISBN 13 : 3642558267
Total Pages : 656 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Computer Algebra Handbook by : Johannes Grabmeier

Download or read book Computer Algebra Handbook written by Johannes Grabmeier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computer Algebra Recipes

Author : Richard Enns
Publisher : Springer Science & Business Media
ISBN 13 : 1461301718
Total Pages : 785 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Computer Algebra Recipes by : Richard Enns

Download or read book Computer Algebra Recipes written by Richard Enns and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Algebra Recipes for Mathematical Physics

Author : Richard H. Enns
Publisher :
ISBN 13 : 9780817670337
Total Pages : 412 pages
Book Rating : 4.6/5 (73 download)

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Book Synopsis Computer Algebra Recipes for Mathematical Physics by : Richard H. Enns

Download or read book Computer Algebra Recipes for Mathematical Physics written by Richard H. Enns and published by . This book was released on 2011-03-21 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Algebra

Author : Edmund A. Lamagna
Publisher : CRC Press
ISBN 13 : 1351605836
Total Pages : 350 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Computer Algebra by : Edmund A. Lamagna

Download or read book Computer Algebra written by Edmund A. Lamagna and published by CRC Press. This book was released on 2019-01-15 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of Computer Algebra: Concepts and Techniques is to demystify computer algebra systems for a wide audience including students, faculty, and professionals in scientific fields such as computer science, mathematics, engineering, and physics. Unlike previous books, the only prerequisites are knowledge of first year calculus and a little programming experience — a background that can be assumed of the intended audience. The book is written in a lean and lively style, with numerous examples to illustrate the issues and techniques discussed. It presents the principal algorithms and data structures, while also discussing the inherent and practical limitations of these systems

Quantum Mechanics Using Computer Algebra

Author : W.-H. Steeb
Publisher : World Scientific
ISBN 13 : 9814307173
Total Pages : 245 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Quantum Mechanics Using Computer Algebra by : W.-H. Steeb

Download or read book Quantum Mechanics Using Computer Algebra written by W.-H. Steeb and published by World Scientific. This book was released on 2010 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects standard and advanced methods in quantum mechanics and implements them using SymbolicC++ and Maxima, two popular computer algebra packages. Throughout, the sample programs and their outputs are accompanied with explantory text of the underlying mathematics and physics explained in detail. Selected problems have also been implemented using two other popular packages --- Mathematica and Maple --- while some problems are implemented in C++. --

Computer Simulation and Computer Algebra

Author : Dietrich Stauffer
Publisher : Springer Science & Business Media
ISBN 13 : 3642970915
Total Pages : 161 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Computer Simulation and Computer Algebra by : Dietrich Stauffer

Download or read book Computer Simulation and Computer Algebra written by Dietrich Stauffer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computers play an increasingly important role in many of today's activities, and correspondingly physicists find employment after graduation in computer related jobs, often quite remote from their physics education. The present lectures, on the other hand, emphasize how we can use computers for the purposes of fundamental research in physics. Thus we do not deal with programs designed for newspapers, banks, or travel agencies, i.e., word processing and storage of large amounts of data. Instead, our lectures concentrate on physics problems, where the computer often has to work quite hard to get a result. Our programs are necessarily 5 quite short, excluding for example quantum chemistry programs with 10 program lines. The reader will learn how to handle computers for well-defined purposes. Therefore, in the end, this course will also enable him to orient himself in computer-related jobs. The first chapter deals mainly with solutions of the Newtonian equation of motion, that force equals mass times acceleration, which is a precursor to the molecular dynamics method in statistical physics. The second chap ter considers, by means of several examples, another method for statistical physics, Monte Carlo simulation. These two chapters deal with numbers, the traditional territory of computers. In contrast, analytic formula manipulation, 3 5 4 3 such as (a+27b -4c)5 = a + 135a b - ... , is taught in the last chapter and is important, for instance, in analytic integration or for evaluating expressions in Einstein's general theory of relativity.

REDUCE for Physicists

Author : N MacDonald
Publisher : CRC Press
ISBN 13 : 1000157245
Total Pages : 182 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis REDUCE for Physicists by : N MacDonald

Download or read book REDUCE for Physicists written by N MacDonald and published by CRC Press. This book was released on 2020-10-29 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of computer algebra systems in science and engineering has grown rapidly as more people realize their potential to solve tedious and extensive mathematical problems. REDUCE for Physicists provides a comprehensive introduction to one of the most widely available and simple to use computer algebra systems, focusing primarily on the needs of physicists. As a means of performing symbolic computation, REDUCE reduces tedious manual algebraic calculations and the dangers of casual errors. Each chapter introduces some aspects of REDUCE and illustrates them with applications from various branches of physics including mechanics, dynamics, dimensional analysis, quantum mechanics, and plasma physics. Emphasizing hands-on work with REDUCE to tackle real physical problems, the book includes exercises to test understanding throughout. Students and researchers in the physical sciences and engineering using REDUCE for the first time will find this book an invaluable aid to learning.

Computer Algebra in Scientific Computing CASC 2001

Author : Viktor G. Ganzha
Publisher : Springer Science & Business Media
ISBN 13 : 3642566669
Total Pages : 543 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Computer Algebra in Scientific Computing CASC 2001 by : Viktor G. Ganzha

Download or read book Computer Algebra in Scientific Computing CASC 2001 written by Viktor G. Ganzha and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: CASC 2001 continues a tradition ~ started in 1998 ~ of international con ferences on the latest advances in the application of computer algebra systems to the solution of various problems in scientific computing. The three ear (CASs) lier conferences in this sequence, CASC'98, CASC'99, and CASC 2000, were held, Petersburg, Russia, in Munich, Germany, and in Samarkand, respectively, in St. Uzbekistan, and proved to be very successful. We have to thank the program committee, listed overleaf, for a tremendous job in soliciting and providing reviews for the submitted papers. There were more than three reviews per submission on average. The result of this job is reflected in the present volume, which contains revised versions of the accepted papers. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scientific computing. In particular, five papers are devoted to the implementation of the analysis of involutive systems with the aid of CASso The specific examples include new efficient algorithms for the computation of Janet bases for monomial ideals, involutive division, involutive reduction method, etc. A number of papers deal with application of CASs for obtaining and vali dating new exact solutions to initial and boundary value problems for partial differential equations in mathematical physics. Several papers show how CASs can be used to obtain analytic solutions of initial and boundary value problems for ordinary differential equations and for studying their properties.

Computer Simulation and Computer Algebra

Author : Dietrich Stauffer
Publisher : Springer
ISBN 13 : 9780387189093
Total Pages : 0 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Computer Simulation and Computer Algebra by : Dietrich Stauffer

Download or read book Computer Simulation and Computer Algebra written by Dietrich Stauffer and published by Springer. This book was released on 1988 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Algebra Recipes for Mathematical Physics. (+ CD-ROM)

Author : Richard H. Enns
Publisher :
ISBN 13 : 9783764332235
Total Pages : pages
Book Rating : 4.3/5 (322 download)

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Book Synopsis Computer Algebra Recipes for Mathematical Physics. (+ CD-ROM) by : Richard H. Enns

Download or read book Computer Algebra Recipes for Mathematical Physics. (+ CD-ROM) written by Richard H. Enns and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Algebra In Science And Engineering

Author : J Fleischer
Publisher : World Scientific
ISBN 13 : 9814549053
Total Pages : 370 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Computer Algebra In Science And Engineering by : J Fleischer

Download or read book Computer Algebra In Science And Engineering written by J Fleischer and published by World Scientific. This book was released on 1995-08-31 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Mechanics Using Computer Algebra: Includes Sample Programs In C++, Symbolicc++, Maxima, Maple, And Mathematica (2nd Edition)

Author : Willi-hans Steeb
Publisher : World Scientific Publishing Company
ISBN 13 : 9813107898
Total Pages : 245 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Quantum Mechanics Using Computer Algebra: Includes Sample Programs In C++, Symbolicc++, Maxima, Maple, And Mathematica (2nd Edition) by : Willi-hans Steeb

Download or read book Quantum Mechanics Using Computer Algebra: Includes Sample Programs In C++, Symbolicc++, Maxima, Maple, And Mathematica (2nd Edition) written by Willi-hans Steeb and published by World Scientific Publishing Company. This book was released on 2010-03-24 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solving problems in quantum mechanics is an essential skill and research activity for physicists, mathematicians, engineers and others. Nowadays, the labor of scientific computation has been greatly eased by the advent of computer algebra packages, which do not merely perform number crunching, but also enable users to manipulate algebraic expressions and equations symbolically. For example, the manipulations of noncommutative operators, differentiation and integration can now be carried out algebraically by the computer algebra package.This book collects standard and advanced methods in quantum mechanics and implements them using SymbolicC++ and Maxima, two popular computer algebra packages. Throughout, the sample programs and their outputs are accompanied with explanatory text of the underlying mathematics and physics explained in detail. Selected problems have also been implemented using two other popular packages — Mathematica and Maple — while some problems are implemented in C++.Modern developments in quantum theory are covered extensively, beyond the standard quantum mechanical techniques. The new research topics added to this second edition are: entanglement, teleportation, Berry phase, Morse oscillator, Magnus expansion, wavelets, Pauli and Clifford groups, coupled Bose-Fermi systems, super-Lie algebras, etc.

Computer Simulation and Computer Algebra

Author : Dietrich Stauffer
Publisher :
ISBN 13 : 9783642971754
Total Pages : 168 pages
Book Rating : 4.9/5 (717 download)

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Book Synopsis Computer Simulation and Computer Algebra by : Dietrich Stauffer

Download or read book Computer Simulation and Computer Algebra written by Dietrich Stauffer and published by . This book was released on 1989-06-22 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is based on the authors' broad experience in teaching the application of computers to physics. It takes the reader from the introductory simulation of classical mechanical problems (part one) to current research in statistical physics. The Ising model, cellular automata, percolation, Eden clusters and the Kauffman model are presented with exercises and programs for hands-on use with the aim of enabling and encouraging the student to write her/his own programs. The third part gives a detailed course into algebraic formula manipulation using the computer algebra system REDUCE, again with numerous examples and exercises. These "lectures for beginners" do not require any previous knowledge of computer languages, but a brief introduction to FORTRAN and BASIC can be found in the appendix.

Computer Algebra Recipes

Author : Richard H. Enns
Publisher : Springer Science & Business Media
ISBN 13 : 0387493336
Total Pages : 374 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Computer Algebra Recipes by : Richard H. Enns

Download or read book Computer Algebra Recipes written by Richard H. Enns and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a large number of computer algebra worksheets or "recipes" that have been designed using MAPLE to provide tools for problem solving and to stimulate critical thinking. No prior knowledge of MAPLE is necessary. All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. Each recipe features a scientific model or method and an interesting or amusing story designed to both entertain and enhance concept comprehension and retention.