This manual covers a comprehensive range of information for the mathematics textbook "A Course on Set Theory" by Ernest Schimmerling, published by Cambridge University Press. Designed for undergraduate students, this text offers a balanced approach to set theory, integrating theoretical fundamentals with practical applications across various mathematical disciplines. It explores concepts such as Boolean algebras, trees, games, and dense linear orderings, providing readers with a solid understanding of set theory's place within broader mathematical contexts. The book is suitable for both classroom instruction and independent study, aiming to be neither overly esoteric nor encyclopedic.
The manual serves as an essential resource for students, instructors, and researchers engaging with set theory. It details the book's structure, pedagogical approach, and content, including motivating examples and over 100 exercises suitable for homework, review, and examination purposes. This guide facilitates a deeper comprehension of pure set theory and its connections to topology, analysis, and combinatorics. It is intended to support learning, reinforce understanding, and provide a valuable reference for anyone studying or working with set theory.
Set theory is the mathematics of infinity and part of the core curriculum for mathematics majors. This book blends theory and connections with other parts of mathematics so that readers can understand the place of set theory within the wider context. Beginning with the theoretical fundamentals, the author proceeds to illustrate applications to topology, analysis and combinatorics, as well as to pure set theory. Concepts such as Boolean algebras, trees, games, dense linear orderings, ideals, filters and club and stationary sets are also developed. Pitched specifically at undergraduate students, the approach is neither esoteric nor encyclopedic. The author, an experienced instructor, includes motivating examples and over 100 exercises designed for homework assignments, reviews and exams. It is appropriate for undergraduates as a course textbook or for self-study. Graduate students and researchers will also find it useful as a refresher or to solidify their understanding of basic set theory.
Author: Schimmerling, Ernest
Publisher: Cambridge University Press
Illustration: N
Language: ENG
Title: A Course on Set Theory
Pages: 00176 (Encrypted PDF)
On Sale: 2011-07-31
SKU-13/ISBN: 9781107008175
Category: Mathematics : Logic
Set theory is the mathematics of infinity and part of the core curriculum for mathematics majors. This book blends theory and connections with other parts of mathematics so that readers can understand the place of set theory within the wider context. Beginning with the theoretical fundamentals, the author proceeds to illustrate applications to topology, analysis and combinatorics, as well as to pure set theory. Concepts such as Boolean algebras, trees, games, dense linear orderings, ideals, filters and club and stationary sets are also developed. Pitched specifically at undergraduate students, the approach is neither esoteric nor encyclopedic. The author, an experienced instructor, includes motivating examples and over 100 exercises designed for homework assignments, reviews and exams. It is appropriate for undergraduates as a course textbook or for self-study. Graduate students and researchers will also find it useful as a refresher or to solidify their understanding of basic set theory.
Author: Schimmerling, Ernest
Publisher: Cambridge University Press
Illustration: N
Language: ENG
Title: A Course on Set Theory
Pages: 00176 (Encrypted PDF)
On Sale: 2011-07-31
SKU-13/ISBN: 9781107008175
Category: Mathematics : Logic
