### This section contains free e-books and guides on Set Theory, some of the resources in this section can be viewed online and some of them can be downloaded.

Set Theory Books
 Introduction to Modern Set TheoryJudith RoitmanPDF | 129 Pages | EnglishThis note is aimed at two audiences- students who are interested in studying set theory for its own sake, and students in other areas who may be curious about applications of set theory to their field. Topics covered includes: Partially ordered sets, Equivalence relations , Theories and their models, The axioms, Regularity and choice, Embedding mathematics into set theory, Infinite numbers, Two models of set theory, Semi-advanced set theory. Set Theory Some Basics And A Glimpse Of Some Advanced TechniquesToby MeadowsPDF | 91 Pages | EnglishGoal of these notes is to introduce both some of the basic tools in the foundations of mathematics and gesture toward some interesting philosophical problems that arise out of them. Topics covered includes: Axioms and representations, Backbones and problems, advanced set theory. Lectures On Set TheoryJ. Donald MonkPDF | 602 Pages | EnglishThis note covers the following topics: Logic, Elementary Set Theory, Generic Sets And Forcing, Infinite Combinatorics, Pcf, Continuum Cardinals. Set Theory by Anush TserunyanAnush TserunyanOnline | NA Pages | EnglishThis note is an introduction to the Zermelo–Fraenkel set theory with Choice (ZFC). Topics covered includes: The axioms of set theory , Ordinal and cardinal arithmetic, The axiom of foundation, Relativisation, absoluteness, and reflection, Ordinal definable sets and inner models of set theory, The constructible universe L Cohen's method of forcing, Independence of the axiom of choice and the continuum hypothesis. An Introduction To Set TheoryProfessor William A. R. WeissPDF | 119 Pages | EnglishSet 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. Set Theory for Computer ScienceGlynn WinskelPDF | 141 Pages | EnglishThe aim is to introduce fundamental concepts and techniques in set theory in preparation for its many applications in computer science. Topics covered includes: Mathematical argument, Sets and Logic, Relations and functions, Constructions on sets, Inductive definitions, Well-founded induction, Inductively-defined classes and Fraenkel-Mostowski sets. The Axioms of Set TheoryThomas ForsterPDF | 98 Pages | EnglishThis note covers the following topics: The Cumulative Hierarchy, Some Philosophical Prolegomena, Listing the Axioms, First Bundle: The Axiom of Extensionality, Second Bundle: The Closure Axioms, Third Bundle: The Axioms of infinity, Replacement and Collection. Set theory and the structure of arithmeticNorman T HamiltonOnline | 286 Pages | EnglishThe purposes of this book is, first, to answer the question 'What is a number?' and, of greater importance, to provide a foundation for the study of abstract algebra, elementary Euclidean geometry and analysis. This book covers the following topics: The elements of the theory of sets, The Natural Numbers, The Integers and the Rational Numbers and the Real Numbers. A Problem Course in Mathematical Logic Background and Fundamentals of MathematicsEdwin H.ConnellOnline | NA Pages | EnglishThis note covers the following topics: Background and Fundamentals of Mathematics, De Morgan’s laws, Hausdorff Maximality Principle, Equivalence Relations, Notation for the Logic of Mathematics and Unique Factorization Theorem. Proof in Mathematics An Introduction Sets, Relations, FunctionsIvo Duntsch and Gunther GedigaOnline | NA Pages | EnglishThis note covers the following topics: Introduction to sets, Subsets, power sets, equality of sets, Finite and infinite sets, Set operations, De Morgan rules, distributivity, tables, Ordered pairs, Cartesian products, Introduction to relations, Ordering relations, Equivalence relations and Functions. Abstract Set TheoryThoralf A. SkolemOnline | NA Pages | EnglishThis note covers the following topics: Ordered sets; A theorem of Hausdorff, Axiomatic set theory; Axioms of Zermelo and Fraenkel, The well-ordering theorem, Ordinals and alephs, Set representing ordinals, The simple infinite sequence; Development of arithmetic, The theory of Quine, Lorenzen's operative mathematics and The possibility of set theory based on many-valued logic. Varieties of Lattices