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  • Toward Robots That Reason: Logic, Probability & Causal Laws

    de Vaishak Belle ...
    Series series eBColl Synthesis Collection 12
    This book discusses the two fundamental elements that underline the science and design of artificial intelligence (AI) systems: the learning and acquisition of knowledge from observational data, and the reasoning of that knowledge together with whatever information is available about the application at hand. It then presents a mathematical treatment of the core issues that arise when unifying ... Leer más

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  • Discrete Mathematics DeMYSTiFied

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    MULTIPLY your chances of understanding DISCRETE MATHEMATICSIf you're interested in learning the fundamentals of discrete mathematics but can't seem to get your brain to function, then here's your solution. Add this easy-to-follow guide to the equation and calculate how quickly you learn the essential concepts.Written by award-winning math professor Steven Krantz, Discrete Mathematics Demystified ... Leer más

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  • Basic Category Theory

    de Tom Leinster ...
    Series Libro 143 - Cambridge Studies in Advanced Mathematics
    At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in ... Leer más

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  • The Nuts and Bolts of Proofs

    An Introduction to Mathematical Proofs

    The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work. It offers techniques for both reading and writing proofs. The second chapter of the book discusses the techniques in proving if/then statements by contrapositive and proofing by contradiction. It also includes the negation statement, and/or. It ... Leer más

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  • The Language of Mathematics

    Utilizing Math in Practice

    A new and unique way of understanding the translation of concepts and natural language into mathematical expressionsTransforming a body of text into corresponding mathematical expressions and models is traditionally viewed and taught as a mathematical problem; it is also a task that most find difficult. The Language of Mathematics: Utilizing Math in Practice reveals a new way to view this process ... Leer más

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  • Non-axiomatic Logic: A Model Of Intelligent Reasoning

    de Pei Wang ...
    This book provides a systematic and comprehensive description of Non-Axiomatic Logic, which is the result of the author's research for about three decades.Non-Axiomatic Logic is designed to provide a uniform logical foundation for Artificial Intelligence, as well as an abstract description of the “laws of thought” followed by the human mind. Different from “mathematical” logic, where the focus is ... Leer más

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  • The Learning and Teaching of Algebra

    Ideas, Insights and Activities

    Series series IMPACT: Interweaving Mathematics Pedagogy and Content for Teaching
    IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education.The Learning and Teaching of Algebra provides a pedagogical framework for the teaching and learning of ... Leer más

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  • A Readable Introduction to Real Mathematics

    Series series Mathematics and Statistics (R0)
    Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to engage the reader and to teach a real understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. ... Leer más

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  • An Introduction to Elementary Algebra Part 1

    This e-book is in epub3 format: it has many interactive exercises and can be read on Mac, iPad and iPhone with "ibooks", on tablet/smartphones for Android with "Gitden reader", on PCs and tablet windows and Desktop Linux with "Adobe Digital Editions".It has been designed with the intention to make it readable not only by the tablet/computer but also from smartphones with a screen size of 5 inches ... Leer más

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  • On the Logic and Learning of Language

    de Sean A. Fulop ...
    This book presents the author's research on automatic learning procedures for categorial grammars of natural languages. The research program spans a number of intertwined disciplines, including syntax, semantics, learnability theory, logic, and computer science. The theoretical framework employed is an extension of categorial grammar that has come to be called multimodal or type-logical grammar. ... Leer más

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  • Foundations of Software Science and Computation Structures

    22nd International Conference, FOSSACS 2019, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2019, Prague, Czech Republic, April 6–11, 2019, Proceedings

    Series series Springer Nature Proceedings Computer Science
    This open access book constitutes the proceedings of the 22nd International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2019, which took place in Prague, Czech Republic, in April 2019, held as part of the European Joint Conference on Theory and Practice of Software, ETAPS 2019.The 29 papers presented in this volume were carefully reviewed and selected from ... Leer más

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  • The Learning and Teaching of Number

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    Series series IMPACT: Interweaving Mathematics Pedagogy and Content for Teaching
    Numbers are the backbones of mathematics. From 1 to infinity, numbers accompany and underlie the learning of mathematics and research. While perceived as familiar and understood, numbers present fascinating and often mysterious patterns, relationships and pedagogical issues. The Learning and Teaching of Number explores how mathematics education research has addressed issues related to the ... Leer más

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