𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Introduction to modern set theory

✍ Scribed by Judith Roitman


Book ID
127404672
Publisher
Wiley
Year
1990
Tongue
English
Weight
995 KB
Series
Pure and applied mathematics
Category
Library
City
New York
ISBN-13
9780471635192

No coin nor oath required. For personal study only.

✦ Synopsis


This is modern set theory from the ground up--from partial orderings and well-ordered sets to models, infinite cobinatorics and large cardinals. The approach is unique, providing rigorous treatment of basic set-theoretic methods, while integrating advanced material such as independence results, throughout. The presentation incorporates much interesting historical material and no background in mathematical logic is assumed. Treatment is self-contained, featuring theorem proofs supported by diagrams, examples and exercises. Includes applications of set theory to other branches of mathematics.


πŸ“œ SIMILAR VOLUMES


Introduction to set theory
✍ Karel Hrbacek, Thomas Jech πŸ“‚ Library πŸ“… 1999 πŸ› M. Dekker 🌐 English βš– 3 MB

Revised edition intended as a primary text for mathematics courses. Basic material covered includes: relations, functions, and orderings; finite, countable, and uncountable sets; and cardinal and ordinal numbers. Advanced material discussed includes the Axiom of Choice, filters, ultrafilters, closed

Introduction to Axiomatic Set Theory
✍ Gaisi Takeuti, Wilson M. Zaring (auth.) πŸ“‚ Library πŸ“… 1982 πŸ› Springer 🌐 English βš– 2 MB

In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the conΒ­ sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the GCH. Note

Set Theory. An Introduction to Independe
✍ Kenneth Kunen πŸ“‚ Library πŸ“… 1983 πŸ› North Holland 🌐 English βš– 2 MB

Paperback. Many branches of abstract mathematics have been affected by the modern independence proofs in set theory. This book provides an introduction to relative consistency proofs in axiomatic set theory, and is intended to be used as a text in beginning graduate courses in that subject. It is ho

A Classical Introduction to Modern Numbe
✍ Kenneth Ireland, Michael Rosen (auth.) πŸ“‚ Library πŸ“… 1982 πŸ› Springer 🌐 English βš– 5 MB

Bridging the gap between elementary number theory and the systematic study of advanced topics, A CLASSICAL INTRODUCTION TO MODERN NUMBER THEORY is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical developement is stressed throughout, along

A modern introduction to quantum field t
✍ Michele Maggiore πŸ“‚ Library πŸ“… 2005 πŸ› Oxford University Press 🌐 English βš– 2 MB

The importance and the beauty of modern quantum field theory resides in the power and variety of its methods and ideas, which find application in domains as different as particle physics, cosmology, condensed matter, statistical mechanics and critical phenomena. This book introduces the reader to t