Mathematics Mechanization And Applications
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Mathematics Mechanization And Applications
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Author : Xiao-Shan Gao
language : en
Publisher: Academic Press
Release Date : 2000-07-25
Mathematics Mechanization And Applications written by Xiao-Shan Gao and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-25 with Computers categories.
Mathematics Mechanization and Applications provides surveys for major research developments on mechanizing algebraic equations-solving and geometric theorem proving with diverse applications accomplished in Wu's extended Chinese group. The book: * addresses the frontiers of research, with new and original ideas and results * includes sophisticated and successful applications to scientific and engineering problems * covers polynomial system solving; geometric reasoning; computer algebra; and mathematical software * is comprehensive and focused, and easy to read with a uniform presentation * contains an extensive bibliography, of high value for reference to western readers. This book is of interest to researchers, software developers and graduate students in symbolic and algebraic computation, automated theorem-proving, algorithmic mathematics, and computer-aided mathematical problem solving. It is relevant for researchers and university teachers in computer-aided instruction and education; and for engineers and practitioners in mechanics, computer-aided geometric design, geometric modelling and robotics. People in many other related areas, from pure mathematics to computer-aided design, particularly those who know of the Wu method, but have little knowledge of it or the work that has arisen around it, will also find the book good reading.
Computer Algebra And Geometric Algebra With Applications
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Author : Hongbo Li
language : en
Publisher: Springer
Release Date : 2005-06-20
Computer Algebra And Geometric Algebra With Applications written by Hongbo Li and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-20 with Computers categories.
MathematicsMechanization consistsoftheory,softwareandapplicationofc- puterized mathematical activities such as computing, reasoning and discovering. ItsuniquefeaturecanbesuccinctlydescribedasAAA(Algebraization,Algori- mization, Application). The name “Mathematics Mechanization” has its origin in the work of Hao Wang (1960s), one of the pioneers in using computers to do research in mathematics, particularly in automated theorem proving. Since the 1970s, this research direction has been actively pursued and extensively dev- oped by Prof. Wen-tsun Wu and his followers. It di?ers from the closely related disciplines like Computer Mathematics, Symbolic Computation and Automated Reasoning in that its goal is to make algorithmic studies and applications of mathematics the major trend of mathematics development in the information age. The International Workshop on Mathematics Mechanization (IWMM) was initiated by Prof. Wu in 1992, and has ever since been held by the Key L- oratory of Mathematics Mechanization (KLMM) of the Chinese Academy of Sciences. There have been seven workshops of the series up to now. At each workshop, several experts are invited to deliver plenary lectures on cutting-edge methods and algorithms of the selected theme. The workshop is also a forum for people working on related subjects to meet, collaborate and exchange ideas.
Advanced Intelligent Computing Theories And Applications With Aspects Of Theoretical And Methodological Issues
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Author : De-Shuang Huang
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-28
Advanced Intelligent Computing Theories And Applications With Aspects Of Theoretical And Methodological Issues written by De-Shuang Huang 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 2008-08-28 with Computers categories.
The International Conference on Intelligent Computing (ICIC) was formed to p- vide an annual forum dedicated to the emerging and challenging topics in artificial intelligence, machine learning, bioinformatics, and computational biology, etc. It aims to bring together researchers and practitioners from both academia and ind- try to share ideas, problems and solutions related to the multifaceted aspects of intelligent computing. ICIC 2008, held in Shanghai, China, September 15–18, 2008, constituted the 4th International Conference on Intelligent Computing. It built upon the success of ICIC 2007, ICIC 2006 and ICIC 2005 held in Qingdao, Kunming and Hefei, China, 2007, 2006 and 2005, respectively. This year, the conference concentrated mainly on the theories and methodologies as well as the emerging applications of intelligent computing. Its aim was to unify the picture of contemporary intelligent computing techniques as an integral concept that highlights the trends in advanced computational intelligence and bridges theoretical research with applications. Therefore, the theme for this conference was “Emerging Intelligent Computing Technology and Applications”. Papers focusing on this theme were solicited, addressing theories, methodologies, and applications in science and technology.
Invariant Algebras And Geometric Reasoning
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Author : Hongbo Li
language : en
Publisher: World Scientific
Release Date : 2008-03-04
Invariant Algebras And Geometric Reasoning written by Hongbo 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 2008-03-04 with Mathematics categories.
The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics — among them, Grassmann-Cayley algebra and Geometric Algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other classical geometries.This book contains the author and his collaborators' most recent, original development of Grassmann-Cayley algebra and Geometric Algebra and their applications in automated reasoning of classical geometries. It includes two of the three advanced invariant algebras — Cayley bracket algebra, conformal geometric algebra, and null bracket algebra — for highly efficient geometric computing. They form the theory of advanced invariants, and capture the intrinsic beauty of geometric languages and geometric computing. Apart from their applications in discrete and computational geometry, the new languages are currently being used in computer vision, graphics and robotics by many researchers worldwide.
The Mathematica Guidebook For Symbolics
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Author : Michael Trott
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-03
The Mathematica Guidebook For Symbolics written by Michael Trott 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 2007-04-03 with Computers categories.
Provides reader with working knowledge of Mathematica and key aspects of Mathematica symbolic capabilities, the real heart of Mathematica and the ingredient of the Mathematica software system that makes it so unique and powerful Clear organization, complete topic coverage, and an accessible writing style for both novices and experts Website for book with additional materials: http://www/MathematicaGuideBooks.org Accompanying DVD containing all materials as an electronic book with complete, executable Mathematica 5.1 compatible code and programs, rendered color graphics, and animations
Mathematical Software Proceedings Of The First International Congress Of Mathematical Software
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Author : Arjeh M Cohen
language : en
Publisher: World Scientific
Release Date : 2002-07-26
Mathematical Software Proceedings Of The First International Congress Of Mathematical Software written by Arjeh M Cohen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-26 with Mathematics categories.
The advent of mathematical software has been one of the most important events in mathematics. Mathematical software systems are used to construct examples, to prove theorems, and to find new mathematical phenomena. On the other hand, mathematical research often motivates developments of new algorithms and new systems.This volume contains the papers presented at the First International Congress of Mathematical Software, which aimed at a coherent study of mathematical software systems from a wide variety of branches of mathematics. The book discusses more than one hundred mathematical software systems. Readers can get an overview of the current status of the arts of mathematical software and algorithms.The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)
Elimination Practice Software Tools And Applications With Cd Rom
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Author : Dongming Wang
language : en
Publisher: World Scientific
Release Date : 2004-02-19
Elimination Practice Software Tools And Applications With Cd Rom written by Dongming Wang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-19 with Mathematics categories.
With a software library included, this book provides an elementary introduction to polynomial elimination in practice. The library Epsilon, implemented in Maple and Java, contains more than 70 well-documented functions for symbolic elimination and decomposition with polynomial systems and geometric reasoning. The book presents the functionality, implementation, and performance of Epsilon and demonstrates the usefulness of the elimination tool by a number of selected applications, together with many examples and illustrations. The reader will find Epsilon an efficient tool, applicable to a wide range of problems in science, engineering, and industry, and this book an accessible exposition and a valuable reference for elimination theory, methods, and practice.
Science Progress In China
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Author : Lu Yongxiang
language : en
Publisher: Elsevier
Release Date : 2006-04-07
Science Progress In China written by Lu Yongxiang and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-07 with Technology & Engineering categories.
Today, China is in a critical period of development facing a series of challenges such as optimizing the economic structure, rationalizing the use of resources, protecting the ecological environment, eradicating poverty, and fostering coordinated development of the whole society. These challenges can not be comprehensively address without the integrated development of science and technology.This book takes an active part in international cooperation for promoting the development of science and technology and the progress of human civilization. In Science Progress in China Chinese scientists have outlined the development and accomplishments across a spectrum of science over the past 50 years. Scientific acheivements discussed include: the first synthesis of crystalline bovine insulin, the publication of the diagram of rice genes and much more.* Promotes the development of science and education, with emphasis placed on cultivating and nurting scientific talents* Discusses Chinese mathematics, engineering achievements, and the science and technology strategies and policies * Povides insights in the progress of crop genetics and breeding* Offers an analysis of the development of the population and the effects of reproductive medicine
Proof Technology In Mathematics Research And Teaching
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Author : Gila Hanna
language : en
Publisher: Springer Nature
Release Date : 2019-10-02
Proof Technology In Mathematics Research And Teaching written by Gila Hanna and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-02 with Education categories.
This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics teaching in schools and universities, and the use of the internet as a site of proof learning. Proving is sometimes thought to be the aspect of mathematical activity most resistant to the influence of technological change. While computational methods are well known to have a huge importance in applied mathematics, there is a perception that mathematicians seeking to derive new mathematical results are unaffected by the digital era. The reality is quite different. Digital technologies have transformed how mathematicians work together, how proof is taught in schools and universities, and even the nature of proof itself. Checking billions of cases in extremely large but finite sets, impossible a few decades ago, has now become a standard method of proof. Distributed proving, by teams of mathematicians working independently on sections of a problem, has become very much easier as digital communication facilitates the sharing and comparison of results. Proof assistants and dynamic proof environments have influenced the verification or refutation of conjectures, and ultimately how and why proof is taught in schools. And techniques from computer science for checking the validity of programs are being used to verify mathematical proofs. Chapters in this book include not only research reports and case studies, but also theoretical essays, reviews of the state of the art in selected areas, and historical studies. The authors are experts in the field.
Mathematics Education In The Age Of Artificial Intelligence
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Author : Philippe R. Richard
language : en
Publisher: Springer Nature
Release Date : 2022-03-09
Mathematics Education In The Age Of Artificial Intelligence written by Philippe R. Richard and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-09 with Education categories.
This book highlights the contribution of artificial intelligence for mathematics education. It provides concrete ideas supported by mathematical work obtained through dynamic international collaboration, and discusses the flourishing of new mathematics in the contemporary world from a sustainable development perspective. Over the past thirty years, artificial intelligence has gradually infiltrated all facets of society. When it is deployed in interaction with the human designer or user, AI certainly raises new ethical questions. But as soon as it aims to augment intelligence in a kind of human-machine partnership, it goes to the heart of knowledge development and the very performance of work. The proposed themes and the sections of the book address original issues relating to the creation of AI milieus to work on mathematics, to the AI-supported learning of mathematics and to the coordination of « usual » paper/pencil techniques and « new » AI-aided educational working spaces. The authors of the book and the coordinators of each section are all established specialists in mathematics didactics, mathematics and computer science. In summary, this book is a must-read for everyone interested in the teaching and learning of mathematics, and it concerns the interaction between the human and the machine in both directions. It contains ideas, questions and inspiration that invite to take up the challenge of Artificial Intelligence contributing to Mathematical Human Learning.