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008 200728s2020 okua ob 001 0 eng d
040 _aK6U
_beng
_erda
_cK6U
_dK6U
035 _a(OCoLC)1178877793
050 4 _aQA300
_b.L43 2020eb
100 1 _aLebl, Jiří,
_eauthor.
245 1 0 _aBasic analysis.
_nI :
_bintroduction to real analysis, volume I /
_cby Jiří Lebl.
246 3 0 _aIntroduction to real analysis, volume I
246 3 _aBasic analysis one
246 3 _aIntroduction to real analysis, volume one
250 _aVersion 5.3.
264 1 _bJiří Lebl,
264 2 _bBCcampus, BC Open Textbook Project
300 _a1 online resource (281 pages) :
_billustrations
500 _aThis work is licensed under the Creative Commons Attribution NonCommercial ShareAlike International CC-BY-NC-SA and Creative Commons Attribution ShareAlike International CC-BY-SA.
500 _aThis bibliographic record is available under the Creative Commons CC0 "No Rights Reserved" license.
504 _aIncludes bibliographical references and index.
505 0 0 _gChapter 1.
_tReal Numbers --
_gChapter 2.
_tSequences and Series --
_gChapter 3.
_tContinuous Functions --
_gChapter 4.
_tThe Derivative --
_gChapter 5.
_tThe Riemann Integral --
_gChapter 5.
_tThe Riemann Integral --
_gChapter 6.
_tSequences of Functions --
_gChapter 7.
_tMetric Spaces.
520 _a"This is a course in undergraduate real analysis, also known as advanced calculus. The book works for both basic courses for students who do not necessarily wish to go to graduate school and also more advanced courses that prepare students for graduate study and cover topics such as metric spaces. A prerequisite for the course is a basic proof course. This book starts with analysis on the real line, going through sequences, series, and then into continuity, the derivative, and the Riemann integral using the Darboux approach. There are plenty of available detours along the way, or you can power through toward the metric spaces in chapter 7. The philosophy is that metric spaces are absorbed much better by the students after they have gotten comfortable with basic analysis techniques in the very concrete setting of the real line. As a bonus, the book can be used both by slower-paced, more concrete courses, as well as a faster-paced, more abstract courses for future graduate students"--BCcampus website.
588 _aDescription based on online resource; title from pdf title page (viewed on July 27, 2020).
650 0 _aMathematical analysis.
650 0 _aFunctions of real variables.
655 0 _aElectronic books.
710 2 _aBC Open Textbook Project,
_edistributor.
710 2 _aBCcampus.
856 4 0 _3BC Open Textbook Project title homepage.
_uhttps://open.bccampus.ca/browse-our-collection/find-open-textbooks/?uuid=1a921a0a-b24b-4040-92ca-79bc9d289110&contributor=&keyword=&subject=
856 4 0 _3BC Open Textbook Project.
_uhttp://solr.bccampus.ca:8001/bcc/file/1a921a0a-b24b-4040-92ca-79bc9d289110/1/OTB254-01-Basic-Analysis-Introduction-to-Real-Analysis-Volume-1.pdf
856 4 0 _3jirka.org HTML File.
_uhttps://www.jirka.org/ra/html/frontmatter-1.html
999 _c28485
_d28485