Realizability Book


  • Author : Jaap van Oosten
  • Publisher : Elsevier
  • Release Date : 2008-04-10
  • Genre: Mathematics
  • Pages : 328
  • ISBN 10 : 0080560067

Realizability Book Description :

Aimed at starting researchers in the field, Realizability gives a rigorous, yet reasonable introduction to the basic concepts of a field which has passed several successive phases of abstraction. Material from previously unpublished sources such as Ph.D. theses, unpublished papers, etc. has been molded into one comprehensive presentation of the subject area. - The first book to date on this subject area - Provides an clear introduction to Realizability with a comprehensive bibliography - Easy to read and mathematically rigorous - Written by an expert in the field

Theory and Applications of Models of Computation Book

Theory and Applications of Models of Computation

  • Author : T.V. Gopal
  • Publisher : Springer
  • Release Date : 2017-04-13
  • Genre: Mathematics
  • Pages : 698
  • ISBN 10 : 9783319559117

Theory and Applications of Models of Computation Book Description :

This book constitutes the refereed proceedings of the 14th Annual Conference on Theory and Applications of Models of Computation, TAMC 2017, held in Bern, Switzerland, in April 2017. The 45 revised full papers presented together with 4 invited papers were carefully reviewed and selected from 103 submissions. The main themes of TAMC 2017 have been computability, computer science logic, complexity, algorithms, and models of computation and systems theory.

Concepts of Proof in Mathematics  Philosophy  and Computer Science Book

Concepts of Proof in Mathematics Philosophy and Computer Science

  • Author : Dieter Probst
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2016-07-25
  • Genre: Philosophy
  • Pages : 384
  • ISBN 10 : 9781501502620

Concepts of Proof in Mathematics Philosophy and Computer Science Book Description :

A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning from axioms which are considered evident for the given context and agreed upon by the community. It is this concept that sets mathematics apart from other disciplines and distinguishes it as the prototype of a deductive science. Proofs thus are utterly relevant for research, teaching and communication in mathematics and of particular interest for the philosophy of mathematics. In computer science, moreover, proofs have proved to be a rich source for already certified algorithms. This book provides the reader with a collection of articles covering relevant current research topics circled around the concept 'proof'. It tries to give due consideration to the depth and breadth of the subject by discussing its philosophical and methodological aspects, addressing foundational issues induced by Hilbert's Programme and the benefits of the arising formal notions of proof, without neglecting reasoning in natural language proofs and applications in computer science such as program extraction.

Sets  Models and Proofs Book

Sets Models and Proofs

  • Author : Ieke Moerdijk
  • Publisher : Springer
  • Release Date : 2018-11-23
  • Genre: Mathematics
  • Pages : 141
  • ISBN 10 : 9783319924144

Sets Models and Proofs Book Description :

This textbook provides a concise and self-contained introduction to mathematical logic, with a focus on the fundamental topics in first-order logic and model theory. Including examples from several areas of mathematics (algebra, linear algebra and analysis), the book illustrates the relevance and usefulness of logic in the study of these subject areas. The authors start with an exposition of set theory and the axiom of choice as used in everyday mathematics. Proceeding at a gentle pace, they go on to present some of the first important results in model theory, followed by a careful exposition of Gentzen-style natural deduction and a detailed proof of Gödel’s completeness theorem for first-order logic. The book then explores the formal axiom system of Zermelo and Fraenkel before concluding with an extensive list of suggestions for further study. The present volume is primarily aimed at mathematics students who are already familiar with basic analysis, algebra and linear algebra. It contains numerous exercises of varying difficulty and can be used for self-study, though it is ideally suited as a text for a one-semester university course in the second or third year.

A Computable Universe Book

A Computable Universe

  • Author : Hector Zenil
  • Publisher : World Scientific
  • Release Date : 2013
  • Genre: Mathematics
  • Pages : 810
  • ISBN 10 : 9789814374293

A Computable Universe Book Description :

This volume discusses the foundations of computation in relation to nature. It focuses on two main questions: What is computation? and How does nature compute?

Foundations of Secure Computation Book

Foundations of Secure Computation

  • Author : Friedrich L. Bauer
  • Publisher :
  • Release Date : 2000
  • Genre: Computer security
  • Pages : 319
  • ISBN 10 : UVA:X004438216

Foundations of Secure Computation Book Description :

Living Oil Book

Living Oil

  • Author : Stephanie LeMenager
  • Publisher : Oxford University Press
  • Release Date : 2014
  • Genre: History
  • Pages : 263
  • ISBN 10 : 9780199899425

Living Oil Book Description :

Drawing on novels, film, and photographs, Living Oil offers a literary and cultural history of modern environmentalism and petroleum in America.

Mathematical Reviews Book

Mathematical Reviews

  • Author :
  • Publisher :
  • Release Date : 2003-05
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : UOM:39015057247531

Mathematical Reviews Book Description :

Handbook of Categorical Algebra  Volume 1  Basic Category Theory Book

Handbook of Categorical Algebra Volume 1 Basic Category Theory

  • Author : Francis Borceux
  • Publisher : Cambridge University Press
  • Release Date : 1994-08-26
  • Genre: Mathematics
  • Pages : 345
  • ISBN 10 : 0521441781

Handbook of Categorical Algebra Volume 1 Basic Category Theory Book Description :

First of a 3-volume work giving a detailed account of what should be known by all working in, or using category theory. Volume 1 covers basic concepts.

An Introduction to Categorical Data Analysis Book

An Introduction to Categorical Data Analysis

  • Author : Alan Agresti
  • Publisher : John Wiley & Sons
  • Release Date : 2018-10-11
  • Genre: Mathematics
  • Pages : 400
  • ISBN 10 : 9781119405276

An Introduction to Categorical Data Analysis Book Description :

A valuable new edition of a standard reference The use of statistical methods for categorical data has increased dramatically, particularly for applications in the biomedical and social sciences. An Introduction to Categorical Data Analysis, Third Edition summarizes these methods and shows readers how to use them using software. Readers will find a unified generalized linear models approach that connects logistic regression and loglinear models for discrete data with normal regression for continuous data. Adding to the value in the new edition is: • Illustrations of the use of R software to perform all the analyses in the book • A new chapter on alternative methods for categorical data, including smoothing and regularization methods (such as the lasso), classification methods such as linear discriminant analysis and classification trees, and cluster analysis • New sections in many chapters introducing the Bayesian approach for the methods of that chapter • More than 70 analyses of data sets to illustrate application of the methods, and about 200 exercises, many containing other data sets • An appendix showing how to use SAS, Stata, and SPSS, and an appendix with short solutions to most odd-numbered exercises Written in an applied, nontechnical style, this book illustrates the methods using a wide variety of real data, including medical clinical trials, environmental questions, drug use by teenagers, horseshoe crab mating, basketball shooting, correlates of happiness, and much more. An Introduction to Categorical Data Analysis, Third Edition is an invaluable tool for statisticians and biostatisticians as well as methodologists in the social and behavioral sciences, medicine and public health, marketing, education, and the biological and agricultural sciences.

Categories  Types  and Structures Book

Categories Types and Structures

  • Author : Andrea Asperti
  • Publisher : Mit Press
  • Release Date : 1991
  • Genre: Computers
  • Pages : 306
  • ISBN 10 : UOM:39015022019742

Categories Types and Structures Book Description :

Category theory is a mathematical subject whose importance in several areas of computer science, most notably the semantics of programming languages and the design of programmes using abstract data types, is widely acknowledged. This book introduces category theory at a level appropriate for computer scientists and provides practical examples in the context of programming language design.

Handbook of Algebraic Topology Book
Score: 5
From 2 Ratings

Handbook of Algebraic Topology

  • Author : I.M. James
  • Publisher : Elsevier
  • Release Date : 1995-07-18
  • Genre: Mathematics
  • Pages : 1324
  • ISBN 10 : 0080532985

Handbook of Algebraic Topology Book Description :

Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.

Logic from Russell to Church Book

Logic from Russell to Church

  • Author : Dov M. Gabbay
  • Publisher : Elsevier
  • Release Date : 2009-06-16
  • Genre: Mathematics
  • Pages : 1068
  • ISBN 10 : 9780080885476

Logic from Russell to Church Book Description :

This volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one of the greatest achievements of our intellectual history. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration. • The entire range of modal logic is covered • Serves as a singular contribution to the intellectual history of the 20th century • Contains the latest scholarly discoveries and interpretative insights

The Optimal Implementation of Functional Programming Languages Book

The Optimal Implementation of Functional Programming Languages

  • Author : Andrea Asperti
  • Publisher : Cambridge University Press
  • Release Date : 1998-12-03
  • Genre: Computers
  • Pages : 392
  • ISBN 10 : 0521621127

The Optimal Implementation of Functional Programming Languages Book Description :

First account of the subject by two of its leading exponents. Essentially self-contained.

An Introduction to Neural Networks Book

An Introduction to Neural Networks

  • Author : Kevin Gurney
  • Publisher : CRC Press
  • Release Date : 2018-10-08
  • Genre: Computers
  • Pages : 234
  • ISBN 10 : 9781482286991

An Introduction to Neural Networks Book Description :

Though mathematical ideas underpin the study of neural networks, the author presents the fundamentals without the full mathematical apparatus. All aspects of the field are tackled, including artificial neurons as models of their real counterparts; the geometry of network action in pattern space; gradient descent methods, including back-propagation; associative memory and Hopfield nets; and self-organization and feature maps. The traditionally difficult topic of adaptive resonance theory is clarified within a hierarchical description of its operation. The book also includes several real-world examples to provide a concrete focus. This should enhance its appeal to those involved in the design, construction and management of networks in commercial environments and who wish to improve their understanding of network simulator packages. As a comprehensive and highly accessible introduction to one of the most important topics in cognitive and computer science, this volume should interest a wide range of readers, both students and professionals, in cognitive science, psychology, computer science and electrical engineering.

Programming in Martin L  f s Type Theory Book

Programming in Martin L f s Type Theory

  • Author : Bengt Nordstrom
  • Publisher : Oxford University Press
  • Release Date : 1990
  • Genre: Science
  • Pages : 221
  • ISBN 10 : UOM:39015018505134

Programming in Martin L f s Type Theory Book Description :

In recent years, several formalisms for program construction have appeared. One such formalism is the type theory developed by Per Martin-Lof. Well suited as a theory for program construction, it makes possible the expression of both specifications and programs within the same formalism. Furthermore, the proof rules can be used to derive a correct program from a specification as well as to verify that a given program has a certain property. This book contains a thorough introduction to type theory, with information on polymorphic sets, subsets, monomorphic sets, and a full set of helpful examples."

Handbook of Computability Theory Book

Handbook of Computability Theory

  • Author : E.R. Griffor
  • Publisher : Elsevier
  • Release Date : 1999-10-01
  • Genre: Mathematics
  • Pages : 724
  • ISBN 10 : 0080533043

Handbook of Computability Theory Book Description :

The chapters of this volume all have their own level of presentation. The topics have been chosen based on the active research interest associated with them. Since the interest in some topics is older than that in others, some presentations contain fundamental definitions and basic results while others relate very little of the elementary theory behind them and aim directly toward an exposition of advanced results. Presentations of the latter sort are in some cases restricted to a short survey of recent results (due to the complexity of the methods and proofs themselves). Hence the variation in level of presentation from chapter to chapter only reflects the conceptual situation itself. One example of this is the collective efforts to develop an acceptable theory of computation on the real numbers. The last two decades has seen at least two new definitions of effective operations on the real numbers.

Algebraic Set Theory Book

Algebraic Set Theory

  • Author : Andri Joyal
  • Publisher : Cambridge University Press
  • Release Date : 1995-09-14
  • Genre: Mathematics
  • Pages : 123
  • ISBN 10 : 0521558301

Algebraic Set Theory Book Description :

This book offers a new algebraic approach to set theory. The authors introduce a particular kind of algebra, the Zermelo-Fraenkel algebras, which arise from the familiar axioms of Zermelo-Fraenkel set theory. Furthermore, the authors explicitly construct these algebras using the theory of bisimulations. Their approach is completely constructive, and contains both intuitionistic set theory and topos theory. In particular it provides a uniform description of various constructions of the cumulative hierarchy of sets in forcing models, sheaf models and realizability models. Graduate students and researchers in mathematical logic, category theory and computer science should find this book of great interest, and it should be accessible to anyone with a background in categorical logic.

Epistemology Book


  • Author : Nicholas Rescher
  • Publisher : SUNY Press
  • Release Date : 2012-02-01
  • Genre: Science
  • Pages : 424
  • ISBN 10 : 9780791486375

Epistemology Book Description :

A comprehensive introduction to the theory of knowledge.

Non axiomatic Logic Book

Non axiomatic Logic

  • Author : Pei Wang
  • Publisher : World Scientific
  • Release Date : 2013
  • Genre: Computers
  • Pages : 258
  • ISBN 10 : 9789814440288

Non axiomatic Logic Book Description :

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 OC laws of thoughtOCO followed by the human mind. Different from OC mathematicalOCO logic, where the focus is the regularity required when demonstrating mathematical conclusions, Non-Axiomatic Logic is an attempt to return to the original aim of logic, that is, to formulate the regularity in actual human thinking. To achieve this goal, the logic is designed under the assumption that the system has insufficient knowledge and resources with respect to the problems to be solved, so that the OC logical conclusionsOCO are only valid with respect to the available knowledge and resources. Reasoning processes according to this logic covers cognitive functions like learning, planning, decision making, problem solving, This book is written for researchers and students in Artificial Intelligence and Cognitive Science, and can be used as a textbook for courses at graduate level, or upper-level undergraduate, on Non-Axiomatic Logic."