Strange Functions in Real Analysis - Couverture souple

Kharazishvili, Alexander

Couverture souple

ISBN 10 : 1032919884 ISBN 13 : 9781032919881

Editeur : Chapman and Hall/CRC, 2024

Synopsis

Strange Functions in Real Analysis, Third Edition differs from the previous editions in that it includes five new chapters as well as two appendices. More importantly, the entire text has been revised and contains more detailed explanations of the presented material. In doing so, the book explores a number of important examples and constructions of pathological functions.

After introducing basic concepts, the author begins with Cantor and Peano-type functions, then moves effortlessly to functions whose constructions require what is essentially non-effective methods. These include functions without the Baire property, functions associated with a Hamel basis of the real line and Sierpinski-Zygmund functions that are discontinuous on each subset of the real line having the cardinality continuum.

Finally, the author considers examples of functions whose existence cannot be established without the help of additional set-theoretical axioms. On the whole, the book is devoted to strange functions (and point sets) in real analysis and their applications.

A propos du livre

À propos de l?auteur

Prof. A. Kharazishvili is Professor I. Chavachavadze Tibilisi State University, an author of more than 200 scientific works in various branches of mathematics (set theory, combinatorics and graph theory, mathematical analysis, convex geometry and probability theory). He is an author of several monographs. The author is a member of the Editorial Board of Georgian Mathematical Journal (Heldermann-Verlag), Journal of Applied Analysis (Heldermann-Verlag), Journal of Applied Mathematics, Informatics and Mechanics (Tbilisi State University Press)

Détails de l'édition

• Éditeur: Chapman and Hall/CRC
• Date d'édition: 2024
• Langue: anglais
• ISBN 10: 1032919884
• ISBN 13: 9781032919881
• Reliure: Broché
• Numéro d'édition: 3
• Nombre de pages: 440
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible