Introduction to Modern Set Theory

This text is designed for a one-semester course in set theory at the advanced undergraduate or beginning graduate level.

**Tag(s):**
Mathematics

**Publication date**: 15 Aug 2013

**ISBN-10**:
0989897516

**ISBN-13**:
9780989897518

**Paperback**:
129 pages

**Views**: 4,308

**Type**: N/A

**Publisher**:
Orthogonal Publishing L3C

**License**:
Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported

**Post time**: 27 Jun 2016 01:00:00

Introduction to Modern Set Theory

This text is designed for a one-semester course in set theory at the advanced undergraduate or beginning graduate level.

You are free to:

Share — copy and redistribute the material in any medium or format

The licensor cannot revoke these freedoms as long as you follow the license terms.

Click**here** to read the full license.

Share — copy and redistribute the material in any medium or format

The licensor cannot revoke these freedoms as long as you follow the license terms.

Click

From the Preface:

Judith Roitman wrote:It is designed for a one-semester course in set theory at the advanced undergraduate or beginning graduate level. It assumes no knowledge of logic, and no knowledge of set theory beyond the vague familiarity with curly brackets, union and intersection usually expected of an advanced mathematics student. It grew out of my experience teaching this material in a first-year graduate course at the University of Kansas over many years. It 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. While a one-semester course with no logic as a prerequisite cannot begin to tell either group of students all they need to know, it can hope to lay the foundations for further study. In particular, I am concerned with developing the intuitions that lie behind modern, as well as classical, set theory, and with connecting set theory with the rest of mathematics.

Tweet

About The Author(s)

Judith Roitman is a mathematician, a retired professor in the Department of Mathematics at the University of Kansas. She specializes in set theory, topology, Boolean algebra, and mathematics education.

Book Categories

Computer Science
Introduction to Computer Science
Introduction to Computer Programming
Algorithms and Data Structures
Artificial Intelligence
Computer Vision
Machine Learning
Neural Networks
Game Development and Multimedia
Data Communication and Networks
Coding Theory
Computer Security
Information Security
Cryptography
Information Theory
Computer Organization and Architecture
Operating Systems
Image Processing
Parallel Computing
Concurrent Programming
Relational Database
Document-oriented Database
Data Mining
Big Data
Data Science
Digital Libraries
Compiler Design and Construction
Functional Programming
Logic Programming
Object Oriented Programming
Formal Methods
Software Engineering
Agile Software Development
Information Systems
Geographic Information System (GIS)

Mathematics
Mathematics
Algebra
Abstract Algebra
Linear Algebra
Number Theory
Numerical Methods
Precalculus
Calculus
Differential Equations
Category Theory
Proofs
Discrete Mathematics
Theory of Computation
Graph Theory
Real Analysis
Complex Analysis
Probability
Statistics
Game Theory
Queueing Theory
Operations Research
Computer Aided Mathematics

Supporting Fields
Web Design and Development
Mobile App Design and Development
System Administration
Cloud Computing
Electric Circuits
Embedded System
Signal Processing
Integration and Automation
Network Science
Project Management

Operating System
Programming/Scripting
Ada
Assembly
C / C++
Common Lisp
Forth
Java
JavaScript
Lua
Microsoft .NET
Rexx
Perl
PHP
Python
R
Rebol
Ruby
Scheme
Tcl/Tk

Miscellaneous
Sponsors