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An introduction to naïve set theory and its applications

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An introduction to naïve set theory and its applications/ by Shashi Mohan Srivastava.
作者:	Srivastava, S. M.
出版者:	Singapore :Springer Nature Singapore : : 2024.,
面頁冊數:	xii, 136 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Set theory. -
電子資源:	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:

579942
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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