Set theory and foundations of mathematics an introduction to mathematical logic. Vol. 1, Set theory / [electronic resource] :
by Douglas Cenzer...[et al.].
- Singapore : World Scientific, [2020]
- 1 online resource (xi, 209 p.)
Introduction -- Review of sets and logic -- Zermelo-Fraenkel set theory -- natural numbers and countable sets -- Ordinal numbers and the transfinite -- Cardinality and the axiom of choice -- Real numbers -- Models of set theory -- Ramsey theory.
"This book provides an introduction to axiomatic set theory and descriptive set theory. It is written for the upper level undergraduate or beginning graduate students to help them prepare for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra. The book is designed as a flexible and accessible text for a one-semester introductory course in set theory, where the existing alternatives may be more demanding or specialized. Readers will learn the universally accepted basis of the field, with several popular topics added as an option. Pointers to more advanced study are scattered throughout the text"--Publisher's website.
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
9789811201936
Set theory.
Logic, Symbolic and mathematical.
Mathematics--Philosophy.
Electronic books.
QA248 / .S4125 2020
510
Introduction -- Review of sets and logic -- Zermelo-Fraenkel set theory -- natural numbers and countable sets -- Ordinal numbers and the transfinite -- Cardinality and the axiom of choice -- Real numbers -- Models of set theory -- Ramsey theory.
"This book provides an introduction to axiomatic set theory and descriptive set theory. It is written for the upper level undergraduate or beginning graduate students to help them prepare for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra. The book is designed as a flexible and accessible text for a one-semester introductory course in set theory, where the existing alternatives may be more demanding or specialized. Readers will learn the universally accepted basis of the field, with several popular topics added as an option. Pointers to more advanced study are scattered throughout the text"--Publisher's website.
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
9789811201936
Set theory.
Logic, Symbolic and mathematical.
Mathematics--Philosophy.
Electronic books.
QA248 / .S4125 2020
510