Symbolic Computation And Education
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Symbolic Computation And Education
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Author : Shangzhi Li
language : en
Publisher: World Scientific
Release Date : 2007-10-17
Symbolic Computation And Education written by Shangzhi Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-17 with Education categories.
With 14 chapters written by leading experts and educators, this book covers a wide range of topics from teaching philosophy and curriculum development to symbolic and algebraic manipulation and automated geometric reasoning, and to the design and implementation of educational software and integrated teaching and learning environments. The book may serve as a useful reference for researchers, educators, and other professionals interested in developing, using, and practising methodologies and software tools of symbolic computation for education from the secondary to the undergraduate level.
Recent Developments In Complex Analysis And Computer Algebra
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Author : R.P. Gilbert
language : en
Publisher: Springer Science & Business Media
Release Date : 1999
Recent Developments In Complex Analysis And Computer Algebra written by R.P. Gilbert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
The book consists of state-of-the-art chapters on Nevanlinna theory, Fatou-Julia theory, entire and meromorphic functions, several complex variables, computer applications to complex analysis, line bundles, and collocation methods. Audience: Researchers working in the field as well as scientists interested in the applications.
The Didactical Challenge Of Symbolic Calculators
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Author : Dominique Guin
language : en
Publisher: Springer Science & Business Media
Release Date : 2005
The Didactical Challenge Of Symbolic Calculators written by Dominique Guin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.
While computational technologies are transforming the professional practice of mathematics, as yet they have had little impact on school mathematics. This pioneering text develops a theorized analysis of why this is and what can be done to address it. It examines the particular case of symbolic calculators (equipped with computer algebra systems) in secondary education. Drawing on a substantial program of French innovation and research, as well as closely related studies from Australia and the Netherlands, it provides rich illustrations of the many aspects of technology integration, and of the ways in which these are shaped at different levels of the educational institution. This text offers the first English-language exposition of how an innovative synthesis of the theories of instrumentation and didactics can be used to illuminate the complexities of technology integration. It offers important guidance for policy and practice through its analysis of the central role of the teacher and its identification of key principles for effective didactical design and management. These distinctive features make this book essential reading for researchers, teacher educators, and graduate students in mathematics education and technology in education, as well as for teachers of mathematics at upper-secondary and university levels. This is a revised, English-language edition of D. Guin & L. Trouche (Eds.) (2002) Calculatrices symboliques. Transformer un outil en un instrument de travail mathématique: un problème didactique (Editions La Pensée Sauvage, Grenoble).
Computer Human Interaction In Symbolic Computation
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Author : Norbert Kajler
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-06
Computer Human Interaction In Symbolic Computation written by Norbert Kajler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06 with Computers categories.
There are many problems which current user interfaces either do not handle well or do not address at all. The contributions to this volume concentrate on three main areas: interactive books, computer-aided instruction, and visualization. They range from a description of a framework for authoring and browsing mathematical books and of a tool for the direct manipulation of equations and graphs to the presentation of new techniques, such as the use of chains of recurrences for expediting the visualization of mathematical functions. Students, researchers, and developers involved in the design and implementation of scientific software will be able to draw upon the presented research material here to create ever-more powerful and user-friendly applications.
Algebraic And Symbolic Computation Methods In Dynamical Systems
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Author : Alban Quadrat
language : en
Publisher: Springer
Release Date : 2020-04-07
Algebraic And Symbolic Computation Methods In Dynamical Systems written by Alban Quadrat and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-07 with Science categories.
This book aims at reviewing recent progress in the direction of algebraic and symbolic computation methods for functional systems, e.g. ODE systems, differential time-delay equations, difference equations and integro-differential equations. In the nineties, modern algebraic theories were introduced in mathematical systems theory and in control theory. Combined with real algebraic geometry, which was previously introduced in control theory, the past years have seen a flourishing development of algebraic methods in control theory. One of the strengths of algebraic methods lies in their close connections to computations. The use of the above-mentioned algebraic theories in control theory has been an important source of motivation to develop effective versions of these theories (when possible). With the development of computer algebra and computer algebra systems, symbolic methods for control theory have been developed over the past years. The goal of this book is to propose a partial state of the art in this direction. To make recent results more easily accessible to a large audience, the chapters include materials which survey the main mathematical methods and results and which are illustrated with explicit examples.
Symbolic Computation In Undergraduate Mathematics Education
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Author : Zaven A. Karian
language : en
Publisher: MAA Press
Release Date : 1992
Symbolic Computation In Undergraduate Mathematics Education written by Zaven A. Karian and has been published by MAA Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Algebra categories.
Computer Algebra And Symbolic Computation
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Author : Joel S. Cohen
language : en
Publisher: CRC Press
Release Date : 2003-01-03
Computer Algebra And Symbolic Computation written by Joel S. Cohen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-03 with Computers categories.
Mathematica, Maple, and similar software packages provide programs that carry out sophisticated mathematical operations. Applying the ideas introduced in Computer Algebra and Symbolic Computation: Elementary Algorithms, this book explores the application of algorithms to such methods as automatic simplification, polynomial decomposition, and polyno
Neural Symbolic Learning Systems
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Author : Artur S. d'Avila Garcez
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Neural Symbolic Learning Systems written by Artur S. d'Avila Garcez and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
Artificial Intelligence is concerned with producing devices that help or replace human beings in their daily activities. Neural-symbolic learning systems play a central role in this task by combining, and trying to benefit from, the advantages of both the neural and symbolic paradigms of artificial intelligence. This book provides a comprehensive introduction to the field of neural-symbolic learning systems, and an invaluable overview of the latest research issues in this area. It is divided into three sections, covering the main topics of neural-symbolic integration - theoretical advances in knowledge representation and learning, knowledge extraction from trained neural networks, and inconsistency handling in neural-symbolic systems. Each section provides a balance of theory and practice, giving the results of applications using real-world problems in areas such as DNA sequence analysis, power systems fault diagnosis, and software requirements specifications. Neural-Symbolic Learning Systems will be invaluable reading for researchers and graduate students in Engineering, Computing Science, Artificial Intelligence, Machine Learning and Neurocomputing. It will also be of interest to Intelligent Systems practitioners and anyone interested in applications of hybrid artificial intelligence systems.
Mathematics For Physical Science And Engineering
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Author : Frank E. Harris
language : en
Publisher: Academic Press
Release Date : 2014-05-24
Mathematics For Physical Science And Engineering written by Frank E. Harris and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-24 with Mathematics categories.
Mathematics for Physical Science and Engineering is a complete text in mathematics for physical science that includes the use of symbolic computation to illustrate the mathematical concepts and enable the solution of a broader range of practical problems. This book enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica. The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration. This book is an ideal reference for upper level undergraduates in physical chemistry, physics, engineering, and advanced/applied mathematics courses. It will also appeal to graduate physicists, engineers and related specialties seeking to address practical problems in physical science. - Clarifies each important concept to students through the use of a simple example and often an illustration - Provides quick-reference for students through multiple appendices, including an overview of terms in most commonly used applications (Mathematica, Maple) - Shows how symbolic computing enables solving a broad range of practical problems
Symbolic Integration I
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Author : Manuel Bronstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Symbolic Integration I written by Manuel Bronstein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
This first volume in the series "Algorithms and Computation in Mathematics", is destined to become the standard reference work in the field. Manuel Bronstein is the number-one expert on this topic and his book is the first to treat the subject both comprehensively and in sufficient detail - incorporating new results along the way. The book addresses mathematicians and computer scientists interested in symbolic computation, developers and programmers of computer algebra systems as well as users of symbolic integration methods. Many algorithms are given in pseudocode ready for immediate implementation, making the book equally suitable as a textbook for lecture courses on symbolic integration.