Mathematics Books Set Theory Books

An Introduction To Set Theory

An Introduction To Set Theory

An Introduction To Set Theory

Set theory is the branch of mathematical logic that studies sets, which informally are collections of objects. Topics covered includes: The Axioms of Set Theory, The Natural Numbers, The Ordinal Numbers, Relations and Orderings, Cardinality, There Is Nothing Real About The Real Numbers, The Universe, Reflection, Elementary Submodels and Constructibility.

Author(s):

s119 Pages
Similar Books
Logic     and Set Theory

Logic and Set Theory

This note describes the following topics: Propositional calculus, Well orderings and ordinals, Posets and Zorns lemma, Predicate logic, Set theory, Cardinals and incompleteness.

s70 Pages
Set Theory by Victoria University of Wellington

Set Theory by Victoria University of Wellington

This PDF covers the following topics related to Set Theory : Introduction, Well-orders and Ordinals, Classes and Transfinite Recursion, Cardinals, Zorn’s Lemma, Ramsey’s Theorem, Lo´s’s Theorem, Cumulative Hierarchy, Relativization, Measurable Cardinals, Godel’s Constructible Universe, Banach-Tarski Paradox.

s60 Pages
Set Theory by University of California Riverside

Set Theory by University of California Riverside

This PDF covers the following topics related to Set Theory : General considerations, Basic concepts, Constructions in set theory, Relations and functions, Number systems and set theory, Infinite constructions in set theory, The Axiom of Choice and related properties, Set theory as a foundation for mathematics.

s214 Pages
Descriptive Set Theory by David Marker

Descriptive Set Theory by David Marker

This note covers the following topics: Classical Descriptive Set Theory, Polish Spaces, Borel Sets, Effective Descriptive Set Theory: The Arithmetic Hierarchy, Analytic Sets, Coanalytic Sets, Determinacy, Hyperarithmetic Sets, Borel Equivalence Relations, Equivalence Relations, Tame Borel Equivalence Relations, Countable Borel Equivalence Relations, Hyperfinite Equivalence Relations.

s105 Pages