The Foundations of Mathematics in the Theory of Sets PDF Download
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Author: John P. Mayberry
Publisher: Cambridge University Press
ISBN: 9780521770347
Category : Mathematics
Languages : en
Pages : 454
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Book Description
This book presents a unified approach to the foundations of mathematics in the theory of sets, covering both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of 'natural number' and 'set'. The author investigates the logic of quantification over the universe of sets and discusses its role in second order logic, as well as in the analysis of proof by induction and definition by recursion. Suitable for graduate students and researchers in both philosophy and mathematics.
Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9781556080104
Category : Mathematics
Languages : en
Pages : 982
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Book Description
The Encyclopaedia of Mathematics is the most up-to-date, authoritative and comprehensive English-language work of reference in mathematics which exists today. With over 7,000 articles from `A-integral' to `Zygmund Class of Functions', supplemented with a wealth of complementary information, and an index volume providing thorough cross-referencing of entries of related interest, the Encyclopaedia of Mathematics offers an immediate source of reference to mathematical definitions, concepts, explanations, surveys, examples, terminology and methods. The depth and breadth of content and the straightforward, careful presentation of the information, with the emphasis on accessibility, makes the Encyclopaedia of Mathematics an immensely useful tool for all mathematicians and other scientists who use, or are confronted by, mathematics in their work. The Enclyclopaedia of Mathematics provides, without doubt, a reference source of mathematical knowledge which is unsurpassed in value and usefulness. It can be highly recommended for use in libraries of universities, research institutes, colleges and even schools.
Author: John P. Mayberry
Publisher: Cambridge University Press
ISBN: 9780521770347
Category : Mathematics
Languages : en
Pages : 454
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Book Description
This book presents a unified approach to the foundations of mathematics in the theory of sets, covering both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of 'natural number' and 'set'. The author investigates the logic of quantification over the universe of sets and discusses its role in second order logic, as well as in the analysis of proof by induction and definition by recursion. Suitable for graduate students and researchers in both philosophy and mathematics.
Author: Joshua D. Mathias
Publisher: Nova Science Publishers
ISBN: 9781613242285
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Includes bibliographical references and index.
Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9401512795
Category : Mathematics
Languages : en
Pages : 639
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Book Description
This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing eleven volumes, and together these twelve volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.
Author: Nathalie Caspard
Publisher: Cambridge University Press
ISBN: 1107013690
Category : Mathematics
Languages : en
Pages : 351
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Book Description
A comprehensive account that gives equal attention to the combinatorial, logical and applied aspects of partially ordered sets.
Author: Louise Grinstein
Publisher: Routledge
ISBN: 1136787232
Category : Education
Languages : en
Pages : 910
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Book Description
This single-volume reference is designed for readers and researchers investigating national and international aspects of mathematics education at the elementary, secondary, and post-secondary levels. It contains more than 400 entries, arranged alphabetically by headings of greatest pertinence to mathematics education. The scope is comprehensive, encompassing all major areas of mathematics education, including assessment, content and instructional procedures, curriculum, enrichment, international comparisons, and psychology of learning and instruction.
Author: Konrad Engel
Publisher: Cambridge University Press
ISBN: 0521452066
Category : Mathematics
Languages : en
Pages : 430
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Book Description
The starting point of this book is Sperner's theorem, which answers the question: What is the maximum possible size of a family of pairwise (with respect to inclusion) subsets of a finite set? This theorem stimulated the development of a fast growing theory dealing with external problems on finite sets and, more generally, on finite partially ordered sets. This book presents Sperner theory from a unified point of view, bringing combinatorial techniques together with methods from programming, linear algebra, Lie-algebra representations and eigenvalue methods, probability theory, and enumerative combinatorics. Researchers and graduate students in discrete mathematics, optimisation, algebra, probability theory, number theory, and geometry will find many powerful new methods arising from Sperner theory.
Author: Robert Curtis
Publisher: Cambridge University Press
ISBN: 052185721X
Category : Mathematics
Languages : en
Pages : 333
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Book Description
Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.
Author: Sarah J. Greenwald
Publisher:
ISBN: 9781587658457
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Presents articles showing the math behind our daily lives. Explains how and why math works, and allows readers to better understand how disciplines such as algebra, geometry, calculus, and others affect what we do every day.
Author:
Publisher:
ISBN:
Category : Encyclopedias and dictionaries
Languages : en
Pages : 554
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Book Description
An encyclopedia designed especially to meet the needs of elementary, junior high, and senior high school students.
