Set Theoretical Aspects of Real Analysis - Brossura

Kharazishvili, Alexander B.

Brossura

ISBN 10: 0367659077 ISBN 13: 9780367659073

Casa editrice: Chapman and Hall/CRC, 2020

Riassunto

Set Theoretical Aspects of Real Analysis is built around a number of questions in real analysis and classical measure theory, which are of a set theoretic flavor. Accessible to graduate students, and researchers the beginning of the book presents introductory topics on real analysis and Lebesgue measure theory. These topics highlight the boundary between fundamental concepts of measurability and nonmeasurability for point sets and functions. The remainder of the book deals with more specialized material on set theoretical real analysis.

The book focuses on certain logical and set theoretical aspects of real analysis. It is expected that the first eleven chapters can be used in a course on Lebesque measure theory that highlights the fundamental concepts of measurability and non-measurability for point sets and functions. Provided in the book are problems of varying difficulty that range from simple observations to advanced results. Relatively difficult exercises are marked by asterisks and hints are included with additional explanation. Five appendices are included to supply additional background information that can be read alongside, before, or after the chapters.

Dealing with classical concepts, the book highlights material not often found in analysis courses. It lays out, in a logical, systematic manner, the foundations of set theory providing a readable treatment accessible to graduate students and researchers.

Su questo libro

Informazioni sull'autore

Alexander B. Kharazishvili

Dettagli dell'edizione

• Editore: Chapman and Hall/CRC
• Data di pubblicazione: 2020
• Lingua: Inglese
• ISBN 10: 0367659077
• ISBN 13: 9780367659073
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 456
• Contatto del produttore: Taylor and Francis, GPSR Taylor and Francis; gpsr@taylorandfrancis.com; ; Taylor & Francis Verlag GmbH, Kaufingerstraße 24; München; 80331; Germania