Srivastava S An Introduction to Naive Set Theory and Its Applications 2024
General:
Name: Srivastava S An Introduction to Naive Set Theory and Its Applications 2024
Format: pdf
Size: 5 MB
Book:
Title: An Introduction to Naïve Set Theory and Its Applications
Author: Shashi Mohan Srivastava
Language: angielski
Year: 2024
Subjects: Science & Technology, Mathematics, Mathematics – Sets, General Topology, & Categories
Publisher: Springer-Verlag New York, LLC
ISBN: 9789819746439
Total pages: 143
Description:
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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