Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics) - Image 1

£115.87

Springer Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)

Name: Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)
Brand: Springer
Price: 115.87 GBP
Availability: InStock

Discrete Mathematics

It has never been this cheap. We have no record of a lower price.

£116 today · cheaper than every other day in the last 3 months

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 49 days · 49 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 49 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £116 (45 days, 91.8%)

Price range: £116 - £122

Price levels: 2 different prices over 49 days

Description

This book, now in a revised and extended third edition, provides a comprehensive and accessible introduction to modern axiomatic set theory. After an overview of basic notions in combinatorics and first-order logic, and discussing in great detail the axioms of set theory, the author outlines in the second part the main topics of classical set theory, including Ramsey theory and the axiom of choice. As an application of the axiom of choice, a complete proof of Robinson's construction for doubling a ball by dividing it into only five parts is given. For the new edition, the chapter on permutation models has been extended, and recent results in set theory without the axiom of choice and about cardinal characteristics have been added. The third part explains the sophisticated technique of forcing from scratch, now including more details about iterated forcing. The technique is then used to show that certain statements are neither provable nor disprovable from the axioms of set theory. In particular, it is shown that both Martin's Axiom and Suslin's Hypothesis are independent of the axioms of set theory. The final part, with a new chapter on Laver forcing, is mainly concerned with consistency results obtained by iterations of forcing notions such as Cohen forcing, Sacks forcing, and Mathias forcing. The part begins with an extended chapter on countable support iterations of proper forcing notions, now also including proofs of some preservation theorems such as preservation of properness and of certain ultrafilters. In the following chapters, various consistency results concerning possible relations between cardinal characteristics and the existence of Ramsey ultrafilters are presented. For example, a detailed proof of Shelah’s astonishing construction of a model with finitely many Ramsey ultrafilters is given. Written for graduate students in axiomatic set theory, Combinatorial Set Theory will appeal to all researchers interested in the foundations of mathematics. With extensive reference lists, historical remarks, and related results at the end of the chapters, this book is also suitable for self-study.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 3031917510
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Discrete Mathematics
Domain: Amazon UK
Release Date: 27 May 2025
Listed Since: 26 March 2025

Barcode

No barcode data available

Springer Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)

It has never been this cheap. We have no record of a lower price.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)

Set Theory An Introduction To Independence Proofs: 102 (Studies in Logic and the Foundations of Mathematics): Volume 102

Lectures in Logic and Set Theory: 83 (Cambridge Studies in Advanced Mathematics, Series Number 83)

Set Theory: With an Introduction to Real Point Sets

Intuitive Axiomatic Set Theory (Textbooks in Mathematics)

Logic and Combinatorics: Joint Summer Research Conference on Applications of Mathematical Logic to Finite Combinatorics (Contemporary Mathematics)

The Forcing Method in Set Theory: An Introduction via Boolean Valued Logic: 168 (UNITEXT, 168)

Set Theory for the Working Mathematician: Krzysztof Ciesielski: 39 (London Mathematical Society Student Texts, Series Number 39)

Extremal Finite Set Theory (Discrete Mathematics and Its Applications)

Extremal Finite Set Theory (Discrete Mathematics and Its Applications)

A First Course in Enumerative Combinatorics (Pure and Applied Undergraduate Texts)

Canonical Ramsey Theory on Polish Spaces: 202 (Cambridge Tracts in Mathematics, Series Number 202)

Logic and Algebra: Logic and Algebra: 302 (Contemporary Mathematics)

Springer - Reverse Mathematics: Problems, Reductions, and Proofs

Ultrafilters Across Mathematics (Contemporary Mathematics): International Congress Ultramath 2008: Applications of Ultrafilters and Ultraproducts in Mathematics, June 1-7, 2008, Pisa, Italy

Combinators, λ-Terms and Proof Theory: 42 (Synthese Library, 42)

The Mathematics of Coordinated Inference: A Study of Generalized Hat Problems: 33 (Developments in Mathematics, 33)

Classic Set Theory: For Guided Independent Study (Chapman & Hall Mathematics S)

LMSST: 48 Set Theory (London Mathematical Society Student Texts, Series Number 48)

Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics

Set Theory for Computing: From Decision Procedures to Declarative Programming with Sets (Monographs in Computer Science)

CRC Press Classic Set Theory - For Guided Independent Study

Sets And Computations: 33 (Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore)

Mathematical Logic: On Numbers, Sets, Structures, and Symmetry: 4 (Springer Graduate Texts in Philosophy, 4)