The Computer Modelling of Mathematical Reasoning

Author: Alan Bundy

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 322

View: 4727

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This review of the work done to date on the computer modelling of mathematical reasoning processes brings together a variety of approaches and disciplines within a coherent frame. A limited knowledge of mathematics is assumed in the introduction to the principles of mathematical logic. The plan of the book is such that students with varied backgrounds can find necessary information as quickly as possible. Exercises are included throughout the book.
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Knowledge Engineering and Computer Modelling in CAD

Proceedings of CAD86 London 2 — 5 September 1986

Author: Alison Smith

Publisher: Elsevier

ISBN: 148310494X

Category: Technology & Engineering

Page: 487

View: 7944

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Knowledge Engineering and Computer Modelling in CAD covers the proceedings of CAD86, The Seventh International Conference on the Computer as a Design Tool. The book presents 49 papers that are organized into 14 parts according to their respective themes. The main themes of the conference are modeling and expert systems. Materials covering database, control, and geometric modeling are also presented. The coverage of the text includes expert systems in process planning; selections and evaluation of cost-effective CAD systems; and designing complex artifacts with the assistance of a microcomputer-based system. The book will be of great use to researchers and practitioners whose work involves the utilization of CAD.
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Logical and Computational Aspects of Model-Based Reasoning

Author: L. Magnani,N.J. Nersessian,Claudio Pizzi

Publisher: Springer Science & Business Media

ISBN: 9401005508

Category: Mathematics

Page: 342

View: 2228

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Information technology has been, in recent years, under increasing commercial pressure to provide devices and systems which help/ replace the human in his daily activity. This pressure requires the use of logic as the underlying foundational workhorse of the area. New logics were developed as the need arose and new foci and balance has evolved within logic itself. One aspect of these new trends in logic is the rising impor tance of model based reasoning. Logics have become more and more tailored to applications and their reasoning has become more and more application dependent. In fact, some years ago, I myself coined the phrase "direct deductive reasoning in application areas", advocating the methodology of model-based reasoning in the strongest possible terms. Certainly my discipline of Labelled Deductive Systems allows to bring "pieces" of the application areas as "labels" into the logic. I therefore heartily welcome this important book to Volume 25 of the Applied Logic Series and see it as an important contribution in our overall coverage of applied logic.
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Computer Aided Assessment of Mathematics

Author: Chris Sangwin

Publisher: OUP Oxford

ISBN: 0191635863

Category: Mathematics

Page: 200

View: 9811

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Assessment is a key driver in mathematics education. This book examines computer aided assessment (CAA) of mathematics in which computer algebra systems (CAS) are used to establish the mathematical properties of expressions provided by students in response to questions. In order to automate such assessment, the relevant criteria must be encoded and, in articulating precisely the desired criteria, the teacher needs to think very carefully about the goals of the task. Hence CAA acts as a vehicle to examine assessment and mathematics education in detail and from a fresh perspective. One example is how it is natural for busy teachers to set only those questions that can be marked by hand in a straightforward way, even though the constraints of paper-based formats restrict what they do and why. There are other kinds of questions, such as those with non-unique correct answers, or where assessing the properties requires the marker themselves to undertake a significant computation. It is simply not sensible for a person to set these to large groups of students when marking by hand. However, such questions have their place and value in provoking thought and learning. This book, aimed at teachers in both schools and universities, explores how, in certain cases, different question types can be automatically assessed. Case studies of existing systems have been included to illustrate this in a concrete and practical way.
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Mechanizing Mathematical Reasoning

Essays in Honor of Jörg H. Siekmann on the Occasion of His 60th Birthday

Author: Dieter Hutter,Werner Stephan

Publisher: Springer

ISBN: 354032254X

Category: Computers

Page: 570

View: 2680

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By presenting state-of-the-art results in logical reasoning and formal methods in the context of artificial intelligence and AI applications, this book commemorates the 60th birthday of Jörg H. Siekmann. The 30 revised reviewed papers are written by former and current students and colleagues of Jörg Siekmann; also included is an appraisal of the scientific career of Jörg Siekmann entitled "A Portrait of a Scientist: Logics, AI, and Politics." The papers are organized in four parts on logic and deduction, applications of logic, formal methods and security, and agents and planning.
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Foundations of Bayesianism

Author: D. Corfield,Jon Williamson,Dr. Jon Williamson

Publisher: Springer Science & Business Media

ISBN: 9781402002236

Category: Business & Economics

Page: 413

View: 3997

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Foundations of Bayesianism is an authoritative collection of papers addressing the key challenges that face the Bayesian interpretation of probability today. Some of these papers seek to clarify the relationships between Bayesian, causal and logical reasoning. Others consider the application of Bayesianism to artificial intelligence, decision theory, statistics and the philosophy of science and mathematics. The volume includes important criticisms of Bayesian reasoning and also gives an insight into some of the points of disagreement amongst advocates of the Bayesian approach. The upshot is a plethora of new problems and directions for Bayesians to pursue. The book will be of interest to graduate students or researchers who wish to learn more about Bayesianism than can be provided by introductory textbooks to the subject. Those involved with the applications of Bayesian reasoning will find essential discussion on the validity of Bayesianism and its limits, while philosophers and others interested in pure reasoning will find new ideas on normativity and the logic of belief.
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Mathematical Problem Solving and New Information Technologies

Research in Contexts of Practice : [proceedings of the NATO Advanced Research Workshop on Advances in Mathematical Problem Solving Research, Held in Viana Do Castelo, Portugal, 27-30 April, 1991]

Author: Joao P. Ponte,Joao F. Matos,Domingos Fernandes,Jose M. Matos

Publisher: Springer Science & Business Media

ISBN: 9783540557357

Category: Computers

Page: 346

View: 8658

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This NATO volume discusses the implications of new information technologies and cognitive psychology for mathematical problem solving research and practice. It includes a discussion of problem solving and provides a view of developments in computerized learning environments.
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Computer Mathematics

Author: Xiao-Shan Gao,Dongming Wang

Publisher: World Scientific

ISBN: 9814491888

Category: Mathematics

Page: 336

View: 4892

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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. Contents: Symbolic, Algebraic, and Geometric ComputationAutomated ReasoningComputational Geometry/CAGDComputational Differential EquationsSoftware Design and ImplementationGraph Algorithms Readership: Researchers, university lecturers and graduate students in numerical and computational mathematics, applied mathematics and computer science. Keywords:Geometric Computation;Mathematical Software;Symbolic Computation;Algebraic Computation;Automated Reasoning;Graph AlgorithmsReviews:“Researchers, teachers, students, and engineers interested in doing mathematics using computers will find this volume good reading and a valuable reference.” Zentralblatt MATH
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