An Introduction to Na?ve Set Theory and Its Applications
Series: University Texts in the Mathematical Sciences;
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24 959 Ft (23 771 Ft + 5% VAT)
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24 959 Ft
Availability
Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
Not in stock at Prospero.
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Delivery time is estimated on our previous experiences. We give estimations only, because we order from outside Hungary, and the delivery time mainly depends on how quickly the publisher supplies the book. Faster or slower deliveries both happen, but we do our best to supply as quickly as possible.
Product details:
- Edition number 2024
- Publisher Springer
- Date of Publication 7 December 2024
- Number of Volumes 1 pieces, Book
- ISBN 9789819746422
- Binding Hardback
- No. of pages136 pages
- Size 235x155 mm
- Language English
- Illustrations 1 Illustrations, black & white 668
Categories
Short description:
Primarily designed for graduate students of mathematics, this textbook delves into Na?ve 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 Na?ve 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.
MoreLong description:
Primarily designed for graduate students of mathematics, this textbook delves into Na?ve 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 Na?ve 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.
MoreTable of Contents:
Introduction.- Functions and Relations.- Ordinal and Cardinal Numbers.- Applications in Other Branches of Mathematics.- Banach-Tarski Paradox.
More
