A.S. Troelstra – författare

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4 produkter

Constructivism in Mathematics, Vol 1
AvD. van Dalen,A.S. Troelstra
E-bok
PDF, Engelska, 1988
781 kr
Läs direkt efter köp
These two volumes cover the principal approaches to constructivism in mathematics. They present a thorough, up-to-date introduction to the metamathematics of constructive mathematics, paying special attention to Intuitionism, Markov''s constructivism and Martin-Lof''s type theory with its operational semantics. A detailed exposition of the basic features of constructive mathematics, with illustrations from analysis, algebra and topology, is provided, with due attention to the metamathematical aspects. Volume 1 is a self-contained introduction to the practice and foundations of constructivism, and does not require specialized knowledge beyond basic mathematical logic. Volume 2 contains mainly advanced topics of a proof-theoretical and semantical nature.
Constructivism in Mathematics, Vol 2
AvD. van Dalen,A.S. Troelstra
E-bok
PDF, Engelska, 2014
781 kr
Läs direkt efter köp
Studies in Logic and the Foundations of Mathematics, Volume 123: Constructivism in Mathematics: An Introduction, Vol. II focuses on various studies in mathematics and logic, including metric spaces, polynomial rings, and Heyting algebras.The publication first takes a look at the topology of metric spaces, algebra, and finite-type arithmetic and theories of operators. Discussions focus on intuitionistic finite-type arithmetic, theories of operators and classes, rings and modules, linear algebra, polynomial rings, fields and local rings, complete separable metric spaces, and located sets. The text then examines proof theory of intuitionistic logic, theory of types and constructive set theory, and choice sequences.The book elaborates on semantical completeness, sheaves, sites, and higher-order logic, and applications of sheaf models. Topics include a derived rule of local continuity, axiom of countable choice, forcing over sites, sheaf models for higher-order logic, and complete Heyting algebras.The publication is a valuable reference for mathematicians and researchers interested in mathematics and logic.
Del 121 - Studies in Logic and the Foundations of Mathematics
Constructivism in Mathematics, Vol 1
AvA.S. Troelstra,D. van Dalen
Inbunden, Engelska, 1988
701 kr
Skickas inom 10-15 vardagar
These two volumes cover the principal approaches to constructivism in mathematics. They present a thorough, up-to-date introduction to the metamathematics of constructive mathematics, paying special attention to Intuitionism, Markov's constructivism and Martin-Lof's type theory with its operational semantics. A detailed exposition of the basic features of constructive mathematics, with illustrations from analysis, algebra and topology, is provided, with due attention to the metamathematical aspects. Volume 1 is a self-contained introduction to the practice and foundations of constructivism, and does not require specialized knowledge beyond basic mathematical logic. Volume 2 contains mainly advanced topics of a proof-theoretical and semantical nature.
Del 123 - Studies in Logic and the Foundations of Mathematics
Constructivism in Mathematics, Vol 2
AvA.S. Troelstra,D. van Dalen
Inbunden, Engelska, 1988
796 kr
Skickas inom 10-15 vardagar
Studies in Logic and the Foundations of Mathematics, Volume 123: Constructivism in Mathematics: An Introduction, Vol. II focuses on various studies in mathematics and logic, including metric spaces, polynomial rings, and Heyting algebras.

The publication first takes a look at the topology of metric spaces, algebra, and finite-type arithmetic and theories of operators. Discussions focus on intuitionistic finite-type arithmetic, theories of operators and classes, rings and modules, linear algebra, polynomial rings, fields and local rings, complete separable metric spaces, and located sets. The text then examines proof theory of intuitionistic logic, theory of types and constructive set theory, and choice sequences.

The book elaborates on semantical completeness, sheaves, sites, and higher-order logic, and applications of sheaf models. Topics include a derived rule of local continuity, axiom of countable choice, forcing over sites, sheaf models for higher-order logic, and complete Heyting algebras.

The publication is a valuable reference for mathematicians and researchers interested in mathematics and logic.

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A.S. Troelstra – författare

Constructivism in Mathematics, Vol 1

Constructivism in Mathematics, Vol 2

Constructivism in Mathematics, Vol 1

Constructivism in Mathematics, Vol 2

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