Mathematics Mechanization and Applications PDF Download

Author: Xiao-Shan Gao
Publisher: Academic Press
ISBN:
Category : Computers
Languages : en
Pages : 584

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Book Description
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.

Author: De-Shuang Huang
Publisher: Springer Science & Business Media
ISBN: 3540874402
Category : Computers
Languages : en
Pages : 1299

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Book Description
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.

Author: Xiao-Shan Gao
Publisher: World Scientific
ISBN: 9810244983
Category : Computers
Languages : en
Pages : 338

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Book Description
This volume contains selected papers presented at the Fourth Asian Symposium on Computer Mathematics. 39 peer-reviewed original contributions together with full papers and extended abstracts by the four invited speakers, G H Gonnet, D Lazard, W McCune, and W-T Wu, cover some of the most recent and significant advances in computer mathematics, including algebraic, symbolic, numeric, and geometric computation, automated mathematical reasoning, mathematical software, and computer-aided geometric design. Researchers, teachers, students, and engineers interested in doing mathematics using computers will find this volume good reading and a valuable reference.

Author: Catherine Dubois
Publisher: Springer Nature
ISBN: 303142753X
Category : Computers
Languages : en
Pages : 333

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Book Description
This book constitutes the refereed proceedings of the 16th International Conference on Intelligent Computer Mathematics, CICM 2023, held in Cambridge, UK, in September 2023. The 14 full papers, 2 project/survey papers, 6 short papers, and 1 tool paper presented were carefully reviewed and selected from a total of 37 submissions. The papers focus on advances in formalization, automatic theorem proving and learning, search and classification, teaching and geometric reasoning, and logic and systems, among other topics.

Author: Jiri Hudecek
Publisher: Routledge
ISBN: 1134468253
Category : History
Languages : en
Pages : 223

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Book Description
Twentieth-century China has been caught between a desire to increase its wealth and power in line with other advanced nations, which, by implication, means copying their institutions, practices and values, whilst simultaneously seeking to preserve China’s independence and historically formed identity. Over time, Chinese philosophers, writers, artists and politicians have all sought to reconcile these goals and this book shows how this search for a Chinese way penetrated even the most central, least contested area of modernity: science. Reviving Ancient Chinese Mathematics is a study of the life of one of modern China’s most admired scientific figures, the mathematician Wu Wen-Tsun. Negotiating the conflict between progress and tradition, he found a path that not only ensured his political and personal survival, but which also brought him renown as a mathematician of international status who claimed that he stood outside the dominant western tradition of mathematics. Wu Wen-Tsun’s story highlights crucial developments and contradictions in twentieth -century China, the significance of which extends far beyond the field of mathematics. On one hand lies the appeal of radical scientific modernity, "mechanisation" in all its forms, and competitiveness within the international scientific community. On the other is an anxiety to preserve national traditions and make them part of the modernisation project. Moreover, Wu’s intellectual development also reflects the complex relationship between science and Maoist ideology, because his turn to history was powered by his internalisation of certain aspects of Maoist ideology, including its utilitarian philosophy of science. This book traces how Wu managed to combine political success and international scientific eminence, a story that has wider implications for a new century of increasing Chinese activity in the sciences. As such, it will be of great interest to students and scholars of Chinese history, the history of science and the history and philosophy of mathematics.

Author: Ruyong Feng
Publisher: Springer
ISBN: 3662437996
Category : Mathematics
Languages : en
Pages : 498

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Book Description
This book covers original research and the latest advances in symbolic, algebraic and geometric computation; computational methods for differential and difference equations, symbolic-numerical computation; mathematics software design and implementation; and scientific and engineering applications based on features, invited talks, special sessions and contributed papers presented at the 9th (in Fukuoka, Japan in 2009) and 10th (in Beijing China in 2012) Asian Symposium on Computer Mathematics (ASCM). Thirty selected and refereed articles in the book present the conference participants’ ideas and views on researching mathematics using computers.

Author: National Research Council
Publisher: National Academies Press
ISBN: 0309284570
Category : Mathematics
Languages : en
Pages : 223

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Book Description
The mathematical sciences are part of nearly all aspects of everyday life-the discipline has underpinned such beneficial modern capabilities as Internet search, medical imaging, computer animation, numerical weather predictions, and all types of digital communications. The Mathematical Sciences in 2025 examines the current state of the mathematical sciences and explores the changes needed for the discipline to be in a strong position and able to maximize its contribution to the nation in 2025. It finds the vitality of the discipline excellent and that it contributes in expanding ways to most areas of science and engineering, as well as to the nation as a whole, and recommends that training for future generations of mathematical scientists should be re-assessed in light of the increasingly cross-disciplinary nature of the mathematical sciences. In addition, because of the valuable interplay between ideas and people from all parts of the mathematical sciences, the report emphasizes that universities and the government need to continue to invest in the full spectrum of the mathematical sciences in order for the whole enterprise to continue to flourish long-term.

Author: Kiyoshi Shirayanagi
Publisher: World Scientific
ISBN: 9789812799661
Category : Computers
Languages : en
Pages : 244

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Book Description
This volume covers some of the most recent and significant advances in computer mathematics, including algebraic, symbolic, numeric and geometric computation, automated mathematical reasoning, mathematical software and computer-aided geometric design. Researchers, engineers, academics and graduate students interested in doing mathematics using computers will find this volume good reading and a valuable reference. Contents: Solution of a Linear Differential Equations in the Form of Power Series and Its Application (T Kitamoto); On the Specification for Solvers of Polynomial Systems (D Lazard); OMEI: An Open Mathematical Engine Interface (W Liao et al.); Polynomial Solutions of Algebraic Differential Equations (Y Ma & X-S Gao); FIGUE: Mathematical Formula Layout with Interaction and MathML Support (H Naciri & L Rideau); An Inductive Approach to Formalizing Notions of Number Theory Proofs (T M Rasmussen); A Generalized Algorithm for Computing Characteristic Sets (D Wang); Action Refinement for Timed LOTOS (J Wu); Exact Analytical Solutions to a Set of Coupled Nonlinear Differential Equations Using Symbolic Computation (R-X Yao & Z-B Li); and other papers. Readership: Researchers, engineers, academics and graduate students in numerical & computational mathematics, theoretical computer science, mathematical modeling, analysis & differential equations, software engineering/programming, algebra & number theory, and logic.

Author: Dongming Wang
Publisher: Imperial College Press
ISBN: 9781848161207
Category : Computers
Languages : en
Pages : 240

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Book Description
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. Contents: Polynomial Elimination at Work; The Epsilon Library; The CharSets Package; The TriSys and SiSys Modules; The GEOTHER Environment; Relevant Elimination Tools; Solving Polynomial Systems; Automated Theorem Proving and Discovering in Geometry; Symbolic Geometric Computation; Selected Problems in Computer Mathematics. Readership: Researchers and graduate students in symbolic mathematical computation, geometric reasoning and modeling, as well as mathematical software engineers.

Author: Gila Hanna
Publisher: Springer Nature
ISBN: 3030284832
Category : Education
Languages : en
Pages : 374

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Book Description
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.