A Digital Implementation of a Decision Method for Elementary Algebra

A Digital Implementation of a Decision Method for Elementary Algebra PDF Author: Arthur Louis Karp
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 286

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A Digital Implementation of a Decision Method for Elementary Algebra

A Digital Implementation of a Decision Method for Elementary Algebra PDF Author: Arthur Louis Karp
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 286

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Book Description


A Decision Method for Elementary Algebra and Geometry

A Decision Method for Elementary Algebra and Geometry PDF Author: Alfred Tarski
Publisher:
ISBN:
Category : Algebra, Abstract
Languages : en
Pages : 63

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Digital And The Real World, The: Computational Foundations Of Mathematics, Science, Technology, And Philosophy

Digital And The Real World, The: Computational Foundations Of Mathematics, Science, Technology, And Philosophy PDF Author: Mainzer Klaus
Publisher: World Scientific
ISBN: 9813225505
Category : Mathematics
Languages : en
Pages : 472

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Book Description
In the 21st century, digitalization is a global challenge of mankind. Even for the public, it is obvious that our world is increasingly dominated by powerful algorithms and big data. But, how computable is our world? Some people believe that successful problem solving in science, technology, and economies only depends on fast algorithms and data mining. Chances and risks are often not understood, because the foundations of algorithms and information systems are not studied rigorously. Actually, they are deeply rooted in logics, mathematics, computer science and philosophy. Therefore, this book studies the foundations of mathematics, computer science, and philosophy, in order to guarantee security and reliability of the knowledge by constructive proofs, proof mining and program extraction. We start with the basics of computability theory, proof theory, and information theory. In a second step, we introduce new concepts of information and computing systems, in order to overcome the gap between the digital world of logical programming and the analog world of real computing in mathematics and science. The book also considers consequences for digital and analog physics, computational neuroscience, financial mathematics, and the Internet of Things (IoT). Contents: Introduction Basics of Computability Hierarchies of Computability Constructive Proof Theory Computational Mathematics and Digital Information Systems Intuitionistic Mathematics and Human Creativity Proof Mining bridging Logic, Mathematics, and Computer Science Reverse Mathematics Bridging Logic, Mathematics, and Computer Science From Intuitionistic to Homotopy Type Theory — Bridging Logic, Mathematics, and Computer Science Real Computability and Real Analysis Complexity Theory of Real Computing Real Computing and Neural Networks Complexity of Algorithmic Information Complexity of Information Dynamics Digital and Real Physics Digital and Real Computing in the Social World Philosophical Outlook Readership: Undergraduate and graduate students, scientists and readers who are interested in foundational, interdisciplinary, and philosophical questions of mathematics, computer science, and science in general. Keywords: Computability;Complexity;Constructive Mathematics;Proof Mining;Real Computing;Analog Networks;Information System;Digital PhysicsReview: Key Features: Compact introduction into the foundations of modern mathematics and computer science Bridging the gap between digital, real and analog computing by new concepts of information systems Consequences in natural and social sciences with respect to scientific computing

Observers for Linear Systems

Observers for Linear Systems PDF Author: John O'Reilly
Publisher: Academic Press
ISBN: 0080959997
Category : Business & Economics
Languages : en
Pages : 259

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Book Description
My aim, in writing this monograph, has been to remedy this omission by presenting a comprehensive and unified theory of observers for continuous-time and discrete -time linear systems. The book is intended for post-graduate students and researchers specializing in control systems, now a core subject in a number of disciplines. Forming, as it does, a self-contained volume it should also be of service to control engineers primarily interested in applications, and to mathematicians with some exposure to control problems.

Giant brains; or, Machines that think

Giant brains; or, Machines that think PDF Author: Edmund Callis Berkeley
Publisher: Good Press
ISBN:
Category : Fiction
Languages : en
Pages : 248

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Book Description
"Giant brains; or, Machines that think" by Edmund Callis Berkeley. Published by Good Press. Good Press publishes a wide range of titles that encompasses every genre. From well-known classics & literary fiction and non-fiction to forgotten−or yet undiscovered gems−of world literature, we issue the books that need to be read. Each Good Press edition has been meticulously edited and formatted to boost readability for all e-readers and devices. Our goal is to produce eBooks that are user-friendly and accessible to everyone in a high-quality digital format.

The American Mathematical Monthly

The American Mathematical Monthly PDF Author:
Publisher:
ISBN:
Category : Mathematicians
Languages : en
Pages : 512

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SICSAM Bulletin

SICSAM Bulletin PDF Author: Association for Computing Machinery. Special Interest Committee on Symbolic & Algebraic Manipulation
Publisher:
ISBN:
Category : Electronic data processing
Languages : en
Pages : 90

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Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 PDF Author: Jennifer M. Bay-Williams
Publisher: Corwin
ISBN: 1071818430
Category : Education
Languages : en
Pages : 265

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Book Description
Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.

Logic-Based 0–1 Constraint Programming

Logic-Based 0–1 Constraint Programming PDF Author: Peter Barth
Publisher: Springer Science & Business Media
ISBN: 1461313155
Category : Business & Economics
Languages : en
Pages : 263

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Book Description
A logic view of 0-1 integer programming problems, providing new insights into the structure of problems that can lead the researcher to more effective solution techniques depending on the problem class. Operations research techniques are integrated into a logic programming environment. The first monographic treatment that begins to unify these two methodological approaches. Logic-based methods for modelling and solving combinatorial problems have recently started to play a significant role in both theory and practice. The application of logic to combinatorial problems has a dual aspect. On one hand, constraint logic programming allows one to declaratively model combinatorial problems over an appropriate constraint domain, the problems then being solved by a corresponding constraint solver. Besides being a high-level declarative interface to the constraint solver, the logic programming language allows one also to implement those subproblems that cannot be naturally expressed with constraints. On the other hand, logic-based methods can be used as a constraint solving technique within a constraint solver for combinatorial problems modelled as 0-1 integer programs.

University of Michigan Official Publication

University of Michigan Official Publication PDF Author:
Publisher: UM Libraries
ISBN:
Category : Education, Higher
Languages : en
Pages : 228

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Book Description