An Introduction to Naïve Set Theory and Its Applications
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 c...
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| Format: | Électronique eBook |
| Langue: | anglais |
| Publié: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2024.
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| Édition: | 1st ed. 2024. |
| Collection: | University Texts in the Mathematical Sciences,
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| Accès en ligne: | https://doi.org/10.1007/978-981-97-4643-9 |
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| 100 | 1 | |a Srivastava, Shashi Mohan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 3 | |a An Introduction to Naïve Set Theory and Its Applications |h [electronic resource] / |c by Shashi Mohan Srivastava. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Singapore : |b Springer Nature Singapore : |b Imprint: Springer, |c 2024. | |
| 300 | |a 1 online resource (XII, 136 p. 1 illus.). | ||
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| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All Non-decorative content supports reading without sight |2 onix | |
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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. | ||
| 532 | 8 | |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Set theory. | |
| 650 | 0 | |a Mathematical logic. | |
| 650 | 1 | 4 | |a Set Theory. |
| 650 | 2 | 4 | |a Mathematical Logic and Foundations. |
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