---
product_id: 41693923
title: "Set Theory: A First Course (Cambridge Mathematical Textbooks)"
price: "£73.60"
currency: GBP
in_stock: true
reviews_count: 9
url: https://www.desertcart.co.uk/products/41693923-set-theory-a-first-course-cambridge-mathematical-textbooks
store_origin: GB
region: United Kingdom
---

# Set Theory: A First Course (Cambridge Mathematical Textbooks)

**Price:** £73.60
**Availability:** ✅ In Stock

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- **What is this?** Set Theory: A First Course (Cambridge Mathematical Textbooks)
- **How much does it cost?** £73.60 with free shipping
- **Is it available?** Yes, in stock and ready to ship
- **Where can I buy it?** [www.desertcart.co.uk](https://www.desertcart.co.uk/products/41693923-set-theory-a-first-course-cambridge-mathematical-textbooks)

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## Description

Set theory is a rich and beautiful subject whose fundamental concepts permeate virtually every branch of mathematics. One could say that set theory is a unifying theory for mathematics, since nearly all mathematical concepts and results can be formalized within set theory. This textbook is meant for an upper undergraduate course in set theory. In this text, the fundamentals of abstract sets, including relations, functions, the natural numbers, order, cardinality, transfinite recursion, the axiom of choice, ordinal numbers, and cardinal numbers, are developed within the framework of axiomatic set theory. The reader will need to be comfortable reading and writing mathematical proofs. The proofs in this textbook are rigorous, clear, and complete, while remaining accessible to undergraduates who are new to upper-level mathematics. Exercises are included at the end of each section in a chapter, with useful suggestions for the more challenging exercises.

Review: Straightforward accessible reference, good for self study - I’m only in the first chapter but have skimmed the entire book. This is the kind of book that is ideal for self study: (1) it covers a sufficiently narrow topic so as not to get bogged down, (2) the material requires thought but no special intellectual athletic prowess like differential geometry or Hilbert spaces do, (3) it’s very well laid out with an index just for special symbols and operators, worth the price of the book in itself, and (4) it’s a slim volume, easy to carry around and hold, like the “Student’s Guide to …” series (most by Daniel Fleisch) (which I also highly recommend for the same reasons). This book is manufactured as print on demand, so the “hardcover” version is basically two boards glued to a glued-bound POD cheap paperback book. I always find cheap binding using generic printer paper to manufacture a reference book to be sad. But I guess I’d rather be sadly reading good content in a real book than reading a technical/reference book on the screen of a kindle app (where would I attach my post-its?).
Review: Great refresher text - Using the text as a reference in refreshing my skills in Set Theory. Accomplishing my goal!

## Technical Specifications

| Specification | Value |
|---------------|-------|
| Best Sellers Rank | #567,674 in Books ( See Top 100 in Books ) #27 in Mathematical Set Theory #226 in Mathematical Logic #1,121 in Mathematics (Books) |
| Customer Reviews | 4.4 out of 5 stars 38 Reviews |

## Images

![Set Theory: A First Course (Cambridge Mathematical Textbooks) - Image 1](https://m.media-amazon.com/images/I/41TF+vtujfL.jpg)

## Customer Reviews

### ⭐⭐⭐⭐⭐ Straightforward accessible reference, good for self study
*by P***. on January 14, 2025*

I’m only in the first chapter but have skimmed the entire book. This is the kind of book that is ideal for self study: (1) it covers a sufficiently narrow topic so as not to get bogged down, (2) the material requires thought but no special intellectual athletic prowess like differential geometry or Hilbert spaces do, (3) it’s very well laid out with an index just for special symbols and operators, worth the price of the book in itself, and (4) it’s a slim volume, easy to carry around and hold, like the “Student’s Guide to …” series (most by Daniel Fleisch) (which I also highly recommend for the same reasons). This book is manufactured as print on demand, so the “hardcover” version is basically two boards glued to a glued-bound POD cheap paperback book. I always find cheap binding using generic printer paper to manufacture a reference book to be sad. But I guess I’d rather be sadly reading good content in a real book than reading a technical/reference book on the screen of a kindle app (where would I attach my post-its?).

### ⭐⭐⭐⭐⭐ Great refresher text
*by J***E on December 19, 2024*

Using the text as a reference in refreshing my skills in Set Theory. Accomplishing my goal!

### ⭐⭐⭐⭐⭐ Set Theory : A First Course
*by S***S on December 18, 2017*

Cunningham writes carefully and clearly. The book begins with a short introduction to logic notation and its meaning. The ZF axioms are listed together on page 24 of chapter one before used to develop the theory axiomatically, beginning in chapter two. A likely comparison to this book is Herbert Enderton's Elements of Set Theory (1977). Cunningham's book is a cleaner presentation. One difference is that Cunningham does not give a construction of the real numbers, as Enderton does. In his References, Cunningham lists 14 books. Set theory textbooks listed are Enderton's Elements, Halmos' Naive ST, Kunen's The Foundations of Mathematics, Levy's Basic ST, and Moschovakis' Notes on ST. Also listed, among others, are Potter's ST and Its Philosophy, and Enderton's A Mathematical Introduction to Logic. To my mind, Cunningham's Set Theory : A First Course is the best introduction to set theory in the English language.

## Frequently Bought Together

- Set Theory: A First Course (Cambridge Mathematical Textbooks)
- Set Theory and Logic (Dover Books on Mathematics)
- Naive Set Theory (Dover Books on Mathematics)

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*Product available on Desertcart United Kingdom*
*Store origin: GB*
*Last updated: 2026-05-16*