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An Introduction to Naïve Set Theory and Its Applications

An Introduction to Naïve Set Theory and Its Applications

Hardcover

Series: University Texts in the Mathematical Sciences

FictionGeneral Mathematics

ISBN10: 9819746426
ISBN13: 9789819746422
Publisher: Springer
Published: Dec 7 2024
Pages: 136
Weight: 0.86
Height: 0.38 Width: 6.14 Depth: 9.21
Language: English

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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