A.S. Troelstra's Books

Basic Proof Theory

By: A. S. Troelstra,H. Schwichtenberg

Write a review Read reviews Take a Quiz Solve Book Puzzle

This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to selected exercises have been included.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

436

Publisher

Cambridge University Press

Published Date

ISBN 10

0521779111

ISBN 13

9780521779111

Constructivism in Mathematics, Vol 1

By: A.S. Troelstra,D. van Dalen

Write a review Read reviews Take a Quiz Solve Book Puzzle

Constructivism in Mathematics, Vol 1

By: A.S. Troelstra,D. van Dalen

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.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

378

Publisher

Elsevier

Published Date

ISBN 10

0080570887

ISBN 13

9780080570884

Constructivism in Mathematics, Vol 2

By: A.S. Troelstra,D. van Dalen

Write a review Read reviews Take a Quiz Solve Book Puzzle

Constructivism in Mathematics, Vol 2

By: A.S. Troelstra,D. van Dalen

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.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

607

Publisher

Elsevier

Published Date

ISBN 10

008095510X

ISBN 13

9780080955100

Introduction to World Vegetation

By: A. S. Collinson

Write a review Read reviews Take a Quiz Solve Book Puzzle

Introduction to World Vegetation

By: A. S. Collinson

This book should be of interest to ecologists and plant scientists.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

344

Published Date

ISBN 10

0045810303

ISBN 13

9780045810307

Colloid and Surface Chemistry

By: E.D. Shchukin,A.V. Pertsov,E.A. Amelina,A.S. Zelenev

Write a review Read reviews Take a Quiz Solve Book Puzzle

Colloid and Surface Chemistry

By: E.D. Shchukin,A.V. Pertsov,E.A. Amelina,A.S. Zelenev

This book covers major areas of modern Colloid and Surface Science (in some countries also referred to as Colloid Chemistry) which is a broad area at the intersection of Chemistry, Physics, Biology and Material Science investigating the disperse state of matter and surface phenomena in disperse systems. The book arises of and summarizes the progress made at the Colloid Chemistry Division of the Chemistry Department of Lomonosov Moscow State University (MSU) over many years of scientific, pedagogical and methodological work. Throughout the book the presentation of fundamental theoretical and experimental approaches and results is combined with discussion of general scientific basis of their role in nature and applications in various technological processes.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

779

Publisher

Elsevier

Published Date

ISBN 10

0080529364

ISBN 13

9780080529363

Constructivism in Mathematics, Vol 1

By: A.S. Troelstra,D. van Dalen

Write a review Read reviews Take a Quiz Solve Book Puzzle

Constructivism in Mathematics, Vol 1

By: A.S. Troelstra,D. van Dalen

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

378

Publisher

Elsevier

Published Date

ISBN 10

0080570887

ISBN 13

9780080570884

Basic Proof Theory

By: A. S. Troelstra,H. Schwichtenberg

Write a review Read reviews Take a Quiz Solve Book Puzzle

Basic Proof Theory

By: A. S. Troelstra,H. Schwichtenberg

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

436

Publisher

Cambridge University Press

Published Date

ISBN 10

0521779111

ISBN 13

9780521779111

Book's by A.S. Troelstra

Basic Proof Theory

Basic Proof Theory

Constructivism in Mathematics, Vol 1

Constructivism in Mathematics, Vol 1

Constructivism in Mathematics, Vol 2

Constructivism in Mathematics, Vol 2

Introduction to World Vegetation

Introduction to World Vegetation

Colloid and Surface Chemistry

Colloid and Surface Chemistry

Constructivism in Mathematics, Vol 1

Constructivism in Mathematics, Vol 1

Basic Proof Theory

Basic Proof Theory

Username

Password

Username

Password

Password again

Birthday

Email