Skip to content
Register Sign in Wishlist
Sets for Mathematics

Sets for Mathematics

£40.99

textbook
  • Date Published: April 2003
  • availability: Available
  • format: Paperback
  • isbn: 9780521010603

£ 40.99
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback, eBook


Request inspection copy

Lecturers may request a copy of this title for inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Advanced undergraduate or beginning graduate students need a unified foundation for their study of geometry, analysis, and algebra. This book, first published in 2003, uses categorical algebra to build such a foundation, starting from intuitive descriptions of mathematically and physically common phenomena and advancing to a precise specification of the nature of Categories of Sets. Set theory as the algebra of mappings is introduced and developed as a unifying basis for advanced mathematical subjects such as algebra, geometry, analysis, and combinatorics. The formal study evolves from general axioms which express universal properties of sums, products, mapping sets, and natural number recursion. The distinctive features of Cantorian abstract sets, as contrasted with the variable and cohesive sets of geometry and analysis, are made explicit and taken as special axioms. Functor categories are introduced in order to model the variable sets used in geometry, and to illustrate the failure of the axiom of choice. An appendix provides an explicit introduction to necessary concepts from logic, and an extensive glossary provides a window to the mathematical landscape.

    • The first undergraduate text that develops a foundation for set theory and logic based on categorical data
    • Includes a complete mini-course in logic and an instructive glossary
    • Exercises embedded in text to assist student in participating fully in the proofs and development
    Read more

    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: April 2003
    • format: Paperback
    • isbn: 9780521010603
    • length: 276 pages
    • dimensions: 251 x 170 x 17 mm
    • weight: 0.49kg
    • contains: 84 b/w illus. 219 exercises
    • availability: Available
  • Table of Contents

    Foreword
    1. Abstract sets and mappings
    2. Sums, monomorphisms and parts
    3. Finite inverse limits
    4. Colimits, epimorphisms and the axiom of choice
    5. Mapping sets and exponentials
    6. Summary of the axioms and an example of variable sets
    7. Consequences and uses of exponentials
    8. More on power sets
    9. Introduction to variable sets
    10. Models of additional variation
    Appendices
    Bibliography.

  • Authors

    F. William Lawvere, State University of New York, Buffalo

    Robert Rosebrugh, Mount Allison University, Canada

Sign In

Please sign in to access your account

Cancel

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 lecturers@cambridge.org

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 www.ebooks.com. Please see the permission section of the www.ebooks.com 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.

Cancel

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.
×