• Login
    View Item 
    •   Digital Repository Home
    • Works by Students
    • Senior Honors Theses
    • Mathematics
    • View Item
    •   Digital Repository Home
    • Works by Students
    • Senior Honors Theses
    • Mathematics
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Enquiry concerning the hyperreal number system.

    Thumbnail
    View/Open
    Thesis (374.3Kb)
    Date
    2015
    Author
    Wu, Tianyu.
    Metadata
    Show full item record
    Abstract
    The hyperreal number system has been developed since the 1960s, starting with the ground-breaking work of Abraham Robinson, for the purpose of doing nonstandard analysis [10]. The main motivation for its development derives from the goal to conceptualize historically controversial numbers, namely innitesimals and innities. In this thesis, my goal is first of all to provide a complete but concise construction of the hyperreal number system that functions as the basic conceptual frame of nonstandard analysis, and second of all to investigate some fundamental properties of the system that determines the way in which nonstandard analysis can be conducted. This thesis can be considered as an original synthesis primarily of [5], [4], and [10].
    URI
    http://hdl.handle.net/11040/24328
    Collections
    • Mathematics [8]
    • File:Thesis_Final.pdf
      Description:Thesis
      MIME type:application/pdf
      File Size:374.3Kb

    Browse

    All of Digital RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    Login

    Wheaton College Massachusetts
    Contact Us | Send Feedback
    DSpace Express is a service operated by 
    Atmire NV