This somewhat unconventional book might be seen partly as a combination
algebra and analysis book for the the gap between elementary and more rigorous
mathematics. It would serve students well in preparation for rigorous upper
division courses in algebra and analysis. The chapter headings will indicate
the scope: 1. Sets, Functions and Relations 2. Proof 3. Complex Numbers
and Related Functions 4. Vectors and Matrics 5. Group Theory 6. Sequences
and Sets (*This should read Sequences and Series GCS*)
7. Mathematical Analysis 8. Creating the Real Numbers.
The material is not rushed, and there are just over 200 pages, so one can
accordingly conclude that, especially in Chapters 4 through 8, the depth and
breadth are limited.

Reviewer: Gerald A. Heuer (Moorhead)

Geoff Smith | Introductory Mathematics: Algebra and Analysis | group pub forum