Exploring Formalisation: A Primer in Human-readable Mathematics in Lean 3 With Examples from Simplicial Topology - Couverture souple

Löh, Clara

 
9783031146480: Exploring Formalisation: A Primer in Human-readable Mathematics in Lean 3 With Examples from Simplicial Topology
Couverture souple
ISBN 10 : 3031146484 ISBN 13 : 9783031146480
Editeur : Springer International Publishing AG, 2022

Synopsis

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.

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À propos de l?auteur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer International Publishing AG
Date d'édition
2022
Langue
anglais
ISBN 10 
3031146484
ISBN 13 
9783031146480
Reliure
Broché
Numéro d'édition
1
Nombre de pages
153
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Autres éditions populaires du même titre

9783031146503: Exploring Formalisation: A Primer in Human-Readable Mathematics in Lean 3 with Examples from Simplicial Topology

Edition présentée

ISBN 10 :  3031146506 ISBN 13 :  9783031146503
Editeur : Springer, 2022
Couverture souple