or
Sign in to turn on 1-Click ordering.
 
 
More Buying Choices
17 used & new from £30.09
Have one to sell? Sell yours here
 
   
Classic Set Theory: A Guided Introduction (Chapman & Hall Mathematics)
 
 
Share your own customer images
Search inside this book

Classic Set Theory: A Guided Introduction (Chapman & Hall Mathematics) (Paperback)

by D.C. Goldrei (Author) "The language of sets is part of the vocabulary of any student or user of mathematics, acquired very early in one's schooling ..." (more)
4.3 out of 5 stars  See all reviews (3 customer reviews)
RRP: £42.99
Price: £30.09 & this item Delivered FREE in the UK with Super Saver Delivery. See details and conditions
You Save: £12.90 (30%)
o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o
In stock.
Dispatched from and sold by Amazon.co.uk. Gift-wrap available.

Only 4 left in stock--order soon (more on the way).

Want guaranteed delivery by Wednesday, November 25? Choose Express delivery at checkout. See Details
13 new from £30.09 4 used from £65.96
12 Days of Christmas Sale in Books
12 Days of Christmas Sale in Books
Get up to 65% off some of our top titles. Shop now

Special Offers and Product Promotions

Frequently Bought Together

Customers buy this book with Schaum's Outline of Set Theory and Related Topics (Schaum's Outline Series) by Seymour Lipschutz

Classic Set Theory: A Guided Introduction (Chapman & Hall Mathematics) + Schaum's Outline of Set Theory and Related Topics (Schaum's Outline Series)
Price For Both: £35.58

Show availability and delivery details

Customers Who Bought This Item Also Bought

Set Theory and its Philosophy: A Critical Introduction

Set Theory and its Philosophy: A Critical Introduction

by Michael Potter
£23.75
Introduction to Mathematical Logic

Introduction to Mathematical Logic

by Elliott Mendelson
5.0 out of 5 stars (1)  £54.14
An Introduction to Godel's Theorems (Cambridge Introductions to Philosophy)

An Introduction to Godel's Theorems (Cambridge Introductions to Philosophy)

by Peter Smith
5.0 out of 5 stars (1)  £13.69
Schaum's Outline of Set Theory and Related Topics (Schaum's Outline Series)

Schaum's Outline of Set Theory and Related Topics (Schaum's Outline Series)

by Seymour Lipschutz
4.0 out of 5 stars (2)  £5.49
Set Theory and the Continuum Hypothesis (Dover Books on Mathematics)

Set Theory and the Continuum Hypothesis (Dover Books on Mathematics)

by Paul J Cohen
4.5 out of 5 stars (2)  £5.97
› Explore similar items

Product details

  • Paperback: 296 pages
  • Publisher: Chapman & Hall; 1 edition (1 Jul 1996)
  • Language English
  • ISBN-10: 0412606100
  • ISBN-13: 978-0412606106
  • Product Dimensions: 24.9 x 21.3 x 1.8 cm
  • Average Customer Review: 4.3 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon.co.uk Sales Rank: 435,160 in Books (See Bestsellers in Books)

    Popular in these categories:

    #11 in  Books > Scientific, Technical & Medical > Mathematics > Mathematical Theory > Set Theory
    #33 in  Books > Science & Nature > Mathematics > Mathematical Foundations > Set Theory

    •  Would you like to update product info or give feedback on images?

  • See Complete Table of Contents

Customers Viewing This Page May Be Interested in These Sponsored Links

  (What is this?)
   Chapman opens new browser window
www.AbeBooks.co.uk  -  Find over 110 million secondhand and rare books at AbeBooks.co.uk 
  
 

Product Description

Product Description

Designed for undergraduate students of set theory, "Classic Set Theory" presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. This includes: The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbers; Defining natural numbers in terms of sets; The potential paradoxes in set theory; The Zermelo-Fraenkel axioms for set theory; The axiom of choice; The arithmetic of ordered sets; and Cantor's two sorts of transfinite number - cardinals and ordinals - and the arithmetic of these. The book is designed for students studying on their own, without access to lecturers and other reading, along the lines of the internationally renowned courses produced by the Open University. There are thus a large number of exercises within the main body of the text designed to help students engage with the subject, many of which have full teaching solutions. In addition, there are a number of exercises without answers so students studying under the guidance of a tutor may be assessed. "Classic Set Theory" gives students sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant problems that arise from the theory.


From the Back Cover

Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. This includes:

  • The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbers
  • Defining natural numbers in terms of sets
  • The potential paradoxes in set theory
  • The Zermelo-Fraenkel axioms for set theory
  • The axiom of choice
  • The arithmetic of ordered sets
  • Cantor's two sorts of transfinite number - cardinals and ordinals - and the arithmetic of these.

    The book is designed for students studying on their own, without access to lecturers and other reading, along the lines of the internationally renowned courses produced by the Open University. There are thus a large number of exercises within the main body of the text designed to help students engage with the subject, many of which have full teaching solutions. In addition, there are a number of exercises without answers so students studying under the guidance of a tutor may be assessed.

    Classic Set Theory gives students sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant problems that arise from the theory.
    • Inside This Book (Learn More)
    First Sentence
    The language of sets is part of the vocabulary of any student or user of mathematics, acquired very early in one's schooling. Read the first page
    Explore More
    Concordance
    Browse Sample Pages
    Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
    Search inside this book:

    Suggested Tags from Similar Products

     (What's this?)
    Be the first one to add a relevant tag (keyword that's strongly related to this product)
     
    set theory
    mathematics
    dc goldrei

    Your tags: Add your first tag
     
    See most popular tags

    What Do Customers Ultimately Buy After Viewing This Item?

    Classic Set Theory: A Guided Introduction (Chapman & Hall Mathematics)
    70% buy the item featured on this page:
    Classic Set Theory: A Guided Introduction (Chapman & Hall Mathematics) 4.3 out of 5 stars (3)
    £30.09
    Schaum's Outline of Set Theory and Related Topics (Schaum's Outline Series)
    14% buy
    Schaum's Outline of Set Theory and Related Topics (Schaum's Outline Series) 4.0 out of 5 stars (2)
    £5.49
    Introduction to Set Theory (Pure and Applied Mathematics)
    7% buy
    Introduction to Set Theory (Pure and Applied Mathematics)
    £41.99
    Set Theory and its Philosophy: A Critical Introduction
    4% buy
    Set Theory and its Philosophy: A Critical Introduction
    £23.75
    Explore similar items
     

    Customer Reviews

    3 Reviews
    5 star:
    		 (1)
    4 star:
    		 (2)
    3 star:    (0)
    2 star:    (0)
    1 star:    (0)
     
     
    		 
     
     
    Average Customer Review
    4.3 out of 5 stars (3 customer reviews)
     
     
     
     
    Share your thoughts with other customers:
    Most Helpful Customer Reviews

     
    1 of 1 people found the following review helpful:
    4.0 out of 5 stars Well set out introduction, 20 Nov 2002
    Derek Goldrei was writing this book whilst he was my tutor at Oxford and myself and fellow students gave him much feedback on the book - Derek was anyway gifted with a great ability to convey complex ideas in a simple manner and this book provides ample evidence of this. As the other reviewer has hinted, the book is set out quite differently from other mathematical texts and the reader is not presented with the dense style employed by others (eg. Bourbaki). In this way it was by far the best mathematical text book I've had to work with and provides a highly structured and sensible route through the subject at hand.
    Comment Comment | Permalink | Was this review helpful to you? Yes No (Report this)



     
    5.0 out of 5 stars Excellent Set Theory Book for Beginners in Math, 16 Jun 2009
    Though this book might disappoint more advanced graduate students and mathematicians, it is an ideal introduction to the basic results of ZFC Set Theory for undergrads in Mathematics, Philosophy and Computer Science. It includes a lot of background information (History, connections to the Calculus and Foundations of Mathematics, the reductions R->Q->N, Cantor's motives for his research, etc.) and the order of presentation is, I think, aptly chosen.

    Best of all, there are no sketches for proofs of basic results, and no glossing over technical details. For example, many authors hand-wave their way through points in the theory of ordinals that require the axiom of Replacement, whereas Goldrei guides us through all these small details. As in most cases, Cardinality is developed to a reasonable extent without the Axiom of Choice, before Ordinals are officially introduced. Thereupon Ordinal and Cardinal Arithmetic are treated in the standard manner.

    Another point in favor of this book is that it is very explicit and careful about the employment of induction and recursion in its various set or class forms.

    There are many solved exercises and some unsolved ones and all the proofs are VERY detailed. I have read or skimmed through all of the Introductory Set Theory books in English and I highly recommend Goldrei's book for the beginner--preferably supplemented (this is always a good idea in math) by a more advanced book (Jech's Set Theory, 3rd ed. is ideal I think), just to compare proofs and routes, and to put this introductory material in a wider context. The coverage is up to basic Ordinal and Cardinal arithmetic, without forcing.

    There are some minor misprints, but no more than the usual in Math textbooks. In short, don't be deterred by the terrible cover (it looks like a high school textbook), this is a GREAT textbook.
    Comment Comment | Permalink | Was this review helpful to you? Yes No (Report this)



     
    4.0 out of 5 stars Easy to follow, 9 April 2002
    By A Customer
    I liked the lay out of the book, it reminds me a lot of lecture notes, on a page it has the main body of the text the a margin with little notes, clarifying information and giving points of interest etc. There is a good selection of exercises and examples. I felt that some of the proofs of theorems were long and overly "wordy", this made them easy to understand, but not often easy to transcribe in to a more mathematical format. I thought that this book was very suitable as an introduction to set theory, especially for self study. It would be useful for accompanying a taught course however it may differ in notation to the point of annoyance.
    Comment Comment | Permalink | Was this review helpful to you? Yes No (Report this)


    Share your thoughts with other customers: Create your own review
     
     
     
    Only search this product's reviews


    Customer Discussions

    This product's forum
    Discussion Replies Latest Post
    No discussions yet

    Ask questions, Share opinions, Gain insight
    Start a new discussion
    Topic:
    First post:
    Prompts for sign-in
     


    Active discussions in related forums
       
    Related forums

    Listmania!

    Create a Listmania! list

    Look for similar items by category

    Look for similar items by subject








    i.e., each product must be in subject 1 AND subject 2 AND ...

    Feedback

    Ad

    Your Recent History

     (What's this?)

    After viewing product detail pages or search results, look here to find an easy way to navigate back to pages you are interested in.