2020-06-01T02:56:42Zhttps://teapot.lib.ocha.ac.jp/?action=repository_oaipmhoai:teapot.lib.ocha.ac.jp:000351392020-04-21T01:16:31Z00347:00359:00579
On an Elementary Treatise of Integrationenghttp://hdl.handle.net/10083/1933Departmental Bulletin PaperKametani, ShunziSince various ways of approaching the integration theory have been studied from all points of view by many authors, nothing essential seems left to be searched for especially in the classical parts of this field. Still we hope in this short note that there may be something novel in the way of putting special emphasis on the additivity of integrals as set-functions. It is easily seen from the elements of "calculus" that the whole theoretical parts of integral calculus will be much simplified if the existence of their primitive functions are assumed. This suggests the way of replacing the above primitive functions by some suitable set-functions having a certain relation to the given point-functions, so that the whole theory may, at least to a certain extent, be simplified and clarified.お茶の水女子大學自然科學報告26121951-1100298190AN00033958application/pdf400https://teapot.lib.ocha.ac.jp/?action=repository_action_common_download&item_id=35139&item_no=1&attribute_id=21&file_no=1お茶の水女子大学紀要論文2018-03-19