Mathematics Books Set Theory Books

Set Theory Some Basics And A Glimpse Of Some Advanced Techniques

Set Theory Some Basics And A Glimpse Of Some Advanced Techniques

Set Theory Some Basics And A Glimpse Of Some Advanced Techniques

Goal 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.

Author(s):

s91 Pages
Similar Books
Set Theory Some Basics And A Glimpse Of Some Advanced Techniques

Set Theory Some Basics And A Glimpse Of Some Advanced Techniques

Goal 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.

s91 Pages
Lectures On Set Theory

Lectures On Set Theory

This note covers the following topics: Logic, Elementary Set Theory, Generic Sets And Forcing, Infinite Combinatorics, Pcf, Continuum Cardinals.

s602 Pages
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.

s119 Pages
Set theory and the structure of arithmetic

Set theory and the structure of arithmetic

The 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.

s286 Pages
Background and               Fundamentals of Mathematics

Background and Fundamentals of Mathematics

This note covers the following topics: Background and Fundamentals of Mathematics, De Morganís laws, Hausdorff Maximality Principle, Equivalence Relations, Notation for the Logic of Mathematics and Unique Factorization Theorem.

sNA Pages
Proof in               Mathematics An Introduction

Proof in Mathematics An Introduction

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages
Sets,               Relations, Functions

Sets, Relations, Functions

This 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.

sNA Pages
Varieties of Lattices

Varieties of Lattices

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages