# Numbers, Sequences and Series

Lecture Notes

# Welcome

These are the Lecture Notes of **Numbers, Sequences and Series 400297** for 2024/25 at the University of Hull. I will use this material during lectures. If you have any question or find any typo, please email me at

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

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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 a more difficult read.

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 Homework and Final Exam.