TY - BOOK AU - Dumas,Bob A AU - McCarthy,John E ED - Open Textbook Library TI - Transition to Higher Mathematics: Structure and Proof T2 - Open textbook library SN - 9781941823033 AV - QA37.3 CY - Minneapolis, MN PB - Open Textbook Library KW - Mathematics KW - Textbooks KW - Proof N1 - Chapter 0. Introduction -- Chapter 1. Preliminaries -- Chapter 2. Relations -- Chapter 3. Proofs -- Chapter 4. Principle of Induction -- Chapter 5. Limits -- Chapter 6. Cardinality -- Chapter 7. Divisibility -- Chapter 8. The Real Numbers -- Chapter 9. Complex Numbers N2 - This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study. Chapter 1: Preliminaries, Chapter 2: Relations, Chapter 3: Proofs, Chapter 4: Principles of Induction, Chapter 5: Limits, Chapter 6: Cardinality, Chapter 7: Divisibility, Chapter 8: The Real Numbers, Chapter 9: Complex Numbers. The last 4 chapters can also be used as independent introductions to four topics in mathematics: Cardinality; Divisibility; Real Numbers; Complex Numbers UR - https://open.umn.edu/opentextbooks/textbooks/886 ER -