An Introduction to Naïve Set Theory and Its Applications / by Shashi Mohan Srivastava.

Format:

Book

Author/Creator:

Srivastava, S. M. (Shashi Mohan)

Series:

University Texts in the Mathematical Sciences, 2731-9326

Language:

English

Subjects (All):

Set theory.

Logic, Symbolic and mathematical.

Set Theory.

Mathematical Logic and Foundations.

Local Subjects:

Set Theory.

Mathematical Logic and Foundations.

Physical Description:

1 online resource (143 pages)

Edition:

1st ed. 2024.

Place of Publication:

Singapore : Springer Nature Singapore : Imprint: Springer, 2024.

Summary:

Primarily designed for graduate students of mathematics, this textbook delves into Naïve set theory, offering valuable insights for senior undergraduate students and researchers specializing in set theory. Commencing with a comprehensive exploration of functions and relations, the book extends its coverage to various applications of Naïve set theory across multiple mathematical branches, including real analysis, linear and abstract algebra, general topology, and introductory aspects of complex analysis and measure theory. The text meticulously introduces cardinal and ordinal numbers, along with transfinite induction, following the natural progression discovered by Cantor during his examination of trigonometric series. While this book provides a solid foundation, students intrigued by set theory for its intrinsic value should recognize that the subject extends far beyond the scope of this text.

Contents:

Introduction

Functions and Relations

Ordinal and Cardinal Numbers

Applications in Other Branches of Mathematics

Banach-Tarski Paradox.

Notes:

Description based on publisher supplied metadata and other sources.

Other Format:

Print version: Srivastava, Shashi Mohan An Introduction to Naïve Set Theory and Its Applications

ISBN:

9789819746439

OCLC:

1481802250