Exploring Formalisation | A Primer in Human-Readable Mathematics in Lean 3 with Examples from Simplicial Topology
Clara Löh
ISBN 10: 3031146484 ISBN 13: 9783031146480
Verlag: Springer, 2022
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Exploring Formalisation | A Primer in Human-Readable Mathematics in Lean 3 with Examples from Simplicial Topology | Clara Löh | Taschenbuch | vi | Englisch | 2022 | Springer | EAN 9783031146480 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Bestandsnummer des Verkäufers 122099864
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This primer on mathematics formalisation provides a rapid, hands-on introduction to proof verification in Lean.
After a quick introduction to Lean, the basic techniques of human-readable formalisation are introduced, illustrated by simple examples on maps, induction and real numbers. Subsequently, typical design options are discussed and brought to life through worked examples in the setting of simplicial complexes (a higher-dimensional generalisation of graph theory). Finally, the book demonstrates how current research in algebraic and geometric topology can be formalised by means of suitable abstraction layers.
Informed by the author's recent teaching and research experience, this book allows students and researchers to quickly get started with formalising and checking their proofs. The core material of the book is accessible to mathematics students with basic programming skills. For the final chapter, familiarity with elementary category theory and algebraic topology is recommended.
Über die Autorin bzw. den Autor: Clara Löh is Professor of Mathematics at the University of Regensburg, Germany. Her research focuses on simplicial volume and the interaction between geometric topology, geometric group theory, and measured group theory. This includes cohomological, geometric, and combinatorial methods. She is also interested in the foundations of mathematics and the formalisation/verification of mathematics in proof assistants.
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Titel: Exploring Formalisation | A Primer in ...
Verlag: Springer
Erscheinungsdatum: 2022
Einband: Taschenbuch
Zustand: Neu
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Exploring Formalisation : A Primer in Human-Readable Mathematics in Lean 3 with Examples from Simplicial Topology
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Exploring Formalisation : A Primer in Human-Readable Mathematics in Lean 3 with Examples from Simplicial Topology
Verlag:
Springer Nature Switzerland, 2022
ISBN 10: 3031146484
ISBN 13: 9783031146480
Neu
Taschenbuch
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This primer on mathematics formalisation provides a rapid, hands-on introduction to proof verification in Lean.After a quick introduction to Lean, the basic techniques of human-readable formalisation are introduced, illustrated by simple examples on maps, induction and real numbers. Subsequently, typical design options are discussed and brought to life through worked examples in the setting of simplicial complexes (a higher-dimensional generalisation of graph theory). Finally, the book demonstrates how current research in algebraic and geometric topology can be formalised by means of suitable abstraction layers.Informed by the author's recent teaching and research experience, this book allows students and researchers to quickly get started with formalising and checking their proofs. The core material of the book is accessible to mathematics students with basic programming skills. For the final chapter, familiarity with elementarycategory theory and algebraic topology is recommended. Artikel-Nr. 9783031146480
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