at the moment I'm looking for a book that has the following properties:
- Is accessible to math undergraduates, preferably not much higher than first or second year undergraduates.
- Treats summation notation at length in one or more of its chapters, going over such topics as change of index/variable, double summation, summation in which the index of summation is a set or contains some inequality. Exercises are very much preferred, and longer treatments are preferred over shorter treatments (short is certainly anything less than 5 pages).
- Is not Knuth's "Concrete Mathematics".
- Does not cost more than 150 USD, ideally not more than 90 USD.
- Is a book. I'm well-acquainted with various online sources. I am explicitly looking for a book.
Kenneth Rosen in his Discrete Mathematics text treats summation notation, both double and with change of index, but only in passing at the start, and barely spends any time on this in the exercises. In contrast, Epp in her Discrete Mathematics text spends more time discussing summation notation, but unfortunately doesn't treat double summation or multiple summation, which is one of my requirements.
I hope some of you have any book suggestions.