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Basic Analysis I - jirka.org

Basic AnalysisIntroduction to Real Analysisby Ji r LeblFebruary 29, 2016(version )2 Typeset in 2009 2016 Ji r LeblThis work is licensed under the Creative Commons Attribution-Noncommercial-Share Alike States License. To view a copy of this license, send a letter to Creative Commons, 171 Second Street, Suite300, San Francisco, California, 94105, can use, print, duplicate, share these notes as much as you want. You can base your own noteson these and reuse parts if you keep the license the same. If you plan to use these commercially (sellthem for more than just duplicating cost), then you need to contact me and we will work somethingout. If you are printing a course pack for your students, then it is fine if the duplication service ischarging a fee for printing and selling the printed copy.

Rudin is a bit more advanced and ambitious than this present course. For those that wish to continue mathematics, Rudin is a fine investment. An inexpensive and somewhat simpler alternative to Rudin is Rosenlicht’s Introduction to Analysis [R1 ]. There is also the freely downloadable Introduction to Real Analysis by William Trench [T ].

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