Numbers, Sequences and Series

Lecture Notes

Author

Affiliation

Dr. Silvio Fanzon

University of Hull

Welcome

These are the Lecture Notes of Numbers, Sequences and Series 400297 for T1 2023/24 at the University of Hull. I will follow these lecture notes during the course. If you have any question or find any typo, please email me at

S.Fanzon@hull.ac.uk

Up to date information about the course, Tutorials and Homework will be published on the University of Hull Canvas Website

canvas.hull.ac.uk/courses/67551

and on the Course Webpage hosted on my website

silviofanzon.com/blog/2023/NSS

Digital Notes

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Readings

We will study the set of real numbers $\mathbb{R}$, and then sequences and series in $\mathbb{R}$. I will follow mainly the textbook by Bartle and Sherbert (Bartle, Robert G. and Sherbert, Donald R. 2011). Another good reading is the book by Abbott (Abbott 2015). I also point out the classic book by Rudin (Rudin 1976), although this is more difficult to understand.

Important

You are not expected to purchase any of the above books. These lecture notes will cover 100% of the topics you are expected to known in order to excel in the final exam.

Abbott, Sthephen. 2015. Understanding Analysis. Second Edition. Springer.

Bartle, Robert G., and Sherbert, Donald R. 2011. Introduction to Real Analysis. Fourth Edition. Wiley.

Rudin, Walter. 1976. Principles of Mathematical Analysis. Third Edition. McGraw Hill.