IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-94-91216-86-2_1.html
   My bibliography  Save this book chapter

Introduction to Numbers and Set Theory

In: Single Variable Differential and Integral Calculus

Author

Listed:
  • E. Mahmudov

    (Istanbul Technical University)

Abstract

Here we will give the main definitions and concepts of sets, the concepts of surjective, injective, and bijective functions, countability and uncountability of sets, cardinal number, and the cardinality of the continuum. These are very important in mathematical analysis and in other fields of the mathematical sciences. For this reason, different theorems connected with the concepts of countability and uncountability of sets are proved and it is shown that the cardinality of the set of functions defined on a closed interval is greater than the cardinality of the continuum. Furthermore, the Dedekind completeness theorem for the set of real numbers is proved. Finally, some of the topological properties of metric spaces are treated.

Suggested Citation

  • E. Mahmudov, 2013. "Introduction to Numbers and Set Theory," Springer Books, in: Single Variable Differential and Integral Calculus, edition 127, chapter 0, pages 1-30, Springer.
    • Handle: RePEc:spr:sprchp:978-94-91216-86-2_1
    DOI: 10.2991/978-94-91216-86-2_1
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-94-91216-86-2_1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.