Solution Manual for Mathematical Proofs A Transition to Advanced Mathematics 3rd Edition Chartrand Polimeni Zhang 0321797094 9780321797094

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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.

Language: English
ISBN-10: 0321797094
ISBN-13: 978-0321797094
ISBN-13: 9780321797094

Author: Gary Chartrand, Albert D. Polimeni, Ping Zhang

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Table of content:

1. Sets.

2. Logic.

3. Direct Proof and Proof by Contrapositive.

4. More on Direct Proof and Proof by Contrapositive.

5. Proof by Contradiction.

6. Prove or Disprove.

7. Equivalence Relations.

8. Functions.

9. Mathematical Induction.

10. Cardinalities of Sets.

11. Proofs in Number Theory.

12. Proofs in Calculus.

13. Proofs in Group Theory.

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