(Original PDF) Mathematical Proofs: A Transition to Advanced Mathematics 4th Edition – Digital Ebook – Instant Delivery Download
Product details:
- ISBN-10 : 0134746759
- ISBN-13 : 978-0134746753
- Author: Gary Chartrand; Albert D. Polimeni; Ping Zhang
Mathematical Proofs: A Transition to Advanced Mathematics, 4th Edition introduces students to proof techniques, analyzing proofs, and writing proofs of their own that are not only mathematically correct but clearly written. Written in a student-friendly manner, it provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as optional excursions into fields such as number theory, combinatorics, and calculus. The exercises receive consistent praise from users for their thoughtfulness and creativity. They help students progress from understanding and analyzing proofs and techniques to producing well-constructed proofs independently. This book is also an excellent reference for students to use in future courses when writing or reading proofs.
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)
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