SET THEORY - ACADEMIC TEXTBOOK

Discover the fascinating world of set theory with a modern textbook written by experienced lecturers. This comprehensive guide is the ideal source of knowledge for mathematics, computer science students and all enthusiasts of logical thinking. Immerse yourself in the depths of mathematical concepts and broaden your horizons!

• Elementary lecture on the introduction to mathematics
• Axiomatic therapy of set theory, arithmetic of ordinal and cardinal numbers
• Applications of set theory in the theory of Boolean algebras, topology, measure theory, combinatorics and other fields
• The most interesting consequences of the axiom of choice, in particular the paradoxical decomposition of the sphere
• Valuable comments at the end of each chapter, making it easier to delve into the topic

This textbook offers a comprehensive introduction to set theory, starting from basic concepts and moving on to advanced topics. The reader will find here both an elementary lecture on the introduction to mathematics and an axiomatic therapy of set theory, the arithmetic of ordinal and cardinal numbers. The authors have also not forgotten about the practical applications of set theory in various fields of mathematics, such as the theory of Boolean algebras, topology, measure theory and combinatorics.

Particular attention is paid to the consequences of the axiom of choice, including the paradoxical decomposition of the sphere, which will certainly interest more advanced students and researchers. At the end of each chapter, there are valuable comments that help the reader to understand and delve into the topic. This makes the textbook ideal for both beginners and those wishing to expand their knowledge of set theory.

This textbook was published by Wydawnictwo Naukowe PWN, which guarantees the high quality and reliability of the presented content. The paperback cover makes the book light and easy to transport, and the 162x236 mm format ensures comfortable reading. The number of pages is 450, which proves the abundance and detail of the material contained in the textbook.