{"id":{"repo_id":"csusb","oai_identifier":"oai:scholarworks.lib.csusb.edu:etd-project-1915"},"canonical_url":"https://search.dev.ndltd.org/etd/csusb/oai:scholarworks.lib.csusb.edu:etd-project-1915","repository":{"repo_id":"csusb","name":"CSUniversity San Bernardino","base_url":"https://scholarworks.lib.csusb.edu/do/oai/"},"display":{"title":"Nonstandard analysis based calculus","abstract":"In the first part of the project the elementary development of an extended number system called Hyperreals is discussed. The second half of this project develops the basics of Nonstandard Analysis, including the theory of ultrafilters, and the formal construction of the Hyperreals.","abstract_html":"In the first part of the project the elementary development of an extended number system called Hyperreals is discussed. The second half of this project develops the basics of Nonstandard Analysis, including the theory of ultrafilters, and the formal construction of the Hyperreals.","abstract_has_math":false,"creators":["Gibson, Kathleen Renae"],"institution":null,"degree_name":"Master of Arts in Mathematics","degree_level":"Project","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1994,"date_issued":"1994-01-01T08:00:00Z","date_published":"1994-01-01T08:00:00Z","updated_at":"2026-07-24T01:54:19Z","subjects":["Calculus","Calculus -- Study and teaching (Secondary)","Mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarworks.lib.csusb.edu/etd-project/915","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Gibson, Kathleen Renae"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Project"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Arts in Mathematics"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Calculus","Calculus -- Study and teaching (Secondary)","Mathematics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarworks.lib.csusb.edu/etd-project/915"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In the first part of the project the elementary development of an extended number system called Hyperreals is discussed. The second half of this project develops the basics of Nonstandard Analysis, including the theory of ultrafilters, and the formal construction of the Hyperreals."]},{"key":"dc:title","label":"Title","values":["Nonstandard analysis based calculus"]}]}],"canonical_facts":{"dc:creator":["Gibson, Kathleen Renae"],"dc:description.abstract":["In the first part of the project the elementary development of an extended number system called Hyperreals is discussed. The second half of this project develops the basics of Nonstandard Analysis, including the theory of ultrafilters, and the formal construction of the Hyperreals."],"dc:identifier":["https://scholarworks.lib.csusb.edu/etd-project/915"],"dc:subject":["Calculus","Calculus -- Study and teaching (Secondary)","Mathematics"],"dc:title":["Nonstandard analysis based calculus"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Project"],"thesis:degree_name":["Master of Arts in Mathematics"]},"updated_at":"2026-07-24T01:54:19Z"}