Mathematical Proofs: A Transition to Advanced Mathematics (Featured Titles for Transition to Advanced Mathematics) 3rd Edition, (Ebook PDF)

Mathematical Proofs: A Transition to Advanced Mathematics (Featured Titles for Transition to Advanced Mathematics) 3rd Edition, (Ebook PDF) – Digital Instant Dowload.

Product details:

• ISBN-10 ‏ : ‎ 0321797094
• ISBN-13 ‏ : ‎ 978-0321797094
• Author: Gary Chartrand, Albert D. Polimeni, Ping Zhang

Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition, prepares students for the more abstract mathematics courses that follow calculus. Appropriate for self-study or for use in the classroom, this text introduces students to proof techniques, analyzing proofs, and writing proofs of their own. Written in a clear, conversational style, this book provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory. It is also a great reference text that students can look back to when writing or reading proofs in their more advanced courses.

Table contents:

0. Communicating Mathematics

1. Sets

2. Logic

3. Direct Proof and Proof by Contrapositive

4. More on Direct Proof and Proof by Contrapositive

5. Existence and Proof by Contradiction

6. Mathematical Induction

7. Reviewing Proof Techniques

8. Prove or Disprove

9. Equivalence Relations

10. Functions

11. Cardinalities of Sets

12. Proofs in Number Theory

13. Proofs in Combinatorics

14. Proofs in Calculus

15. Proofs in Group Theory

16. Proofs in Ring Theory (Online)

17. Proofs in Linear Algebra (Online)

18. Proofs with Real and Complex Numbers (Online)

19. Proofs in Topology (Online)