Skip to content
Register Sign in Wishlist
Practical Foundations of Mathematics

Practical Foundations of Mathematics


Part of Cambridge Studies in Advanced Mathematics

  • Date Published: May 1999
  • availability: Available
  • format: Hardback
  • isbn: 9780521631075

£ 126.00

Add to cart Add to wishlist

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • Practical Foundations collects the methods of construction of the objects of twentieth-century mathematics. Although it is mainly concerned with a framework essentially equivalent to intuitionistic Zermelo-Fraenkel logic, the book looks forward to more subtle bases in categorical type theory and the machine representation of mathematics. Each idea is illustrated by wide-ranging examples, and followed critically along its natural path, transcending disciplinary boundaries between universal algebra, type theory, category theory, set theory, sheaf theory, topology and programming. Students and teachers of computing, mathematics and philosophy will find this book both readable and of lasting value as a reference work.

    • Covers fundamentals that underly maths and computer science
    • Immensely wide-ranging
    • No comparable books exist
    Read more

    Reviews & endorsements

    Review of the hardback: 'This is a fascinating and rewarding book … each chapter has several pages of subtle, provocative and imaginative exercises. In summary, it is a magnificent compilation of ideas and techniques: it is a mine of (well-organised) information suitable for the graduate student and experienced researcher alike.' Roy Dyckhoff, Bulletin of the London Mathematical Society

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: May 1999
    • format: Hardback
    • isbn: 9780521631075
    • length: 588 pages
    • dimensions: 238 x 150 x 43 mm
    • weight: 1.02kg
    • availability: Available
  • Table of Contents

    1. First order reasoning
    2. Types and induction
    3. Posets and lattices
    4. Cartesian closed categories
    5. Limits and colimits
    6. Structural recursion
    7. Adjunctions
    8. Algebra with dependent types
    9. The quantifiers.

  • Author

    Paul Taylor, Queen Mary University of London

Sign In

Please sign in to access your account


Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.