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An introduction to naïve set theory...

Srivastava, S. M.

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An introduction to naïve set theory and its applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to naïve set theory and its applications/ by Shashi Mohan Srivastava.
Author:	Srivastava, S. M.
Published:	Singapore :Springer Nature Singapore : : 2024.,
Description:	xii, 136 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Functions and Relations -- Ordinal and Cardinal Numbers -- Applications in Other Branches of Mathematics -- Banach-Tarski Paradox.
Contained By:	Springer Nature eBook
Subject:	Set theory. -
Online resource:	https://doi.org/10.1007/978-981-97-4643-9
ISBN:	9789819746439

An introduction to naïve set theory and its applications
Srivastava, S. M.

An introduction to naïve set theory and its applications[electronic resource] /by Shashi Mohan Srivastava. - Singapore :Springer Nature Singapore :2024. - xii, 136 p. :ill., digital ;24 cm. - University texts in the mathematical sciences,2731-9326. - University texts in the mathematical sciences..

Introduction -- Functions and Relations -- Ordinal and Cardinal Numbers -- Applications in Other Branches of Mathematics -- Banach-Tarski Paradox.

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.

ISBN: 9789819746439

Standard No.: 10.1007/978-981-97-4643-9doiSubjects--Topical Terms:

520081
Set theory.

LC Class. No.: QA248 / .S658 2024

Dewey Class. No.: 511.322

An introduction to naïve set theory and its applications
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490 1 $a University texts in the mathematical sciences, $x 2731-9326
505 0 $a Introduction -- Functions and Relations -- Ordinal and Cardinal Numbers -- Applications in Other Branches of Mathematics -- Banach-Tarski Paradox.
520 $a 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.
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