Beschreibung:
The aim of this book is to help students write mathematics better. Throughout it are large exercise sets well-integrated with the text and varying appropriately from easy to hard. Basic issues are treated, and attention is given to small issues like not placing a mathematical symbol directly after a punctuation mark. And it provides many examples of what students should think and what they should write and how these two are often not the same.
I PROOFS.- 1 Informal Logic.- 2 Strategies for Proofs.- II Fundamentals.- 3 Sets.- 4 Functions.- 5 Relations.- 6 Infinite and Finite Sets.- III Extras.- 7 Selected Topics.- 8 Number Systems.- 9 Explorations.- Appendix: Properties of Numbers.- Hints for Selected Exercises.- References.