Mathematical Reasoning Writing and Proof

Ted Sundstrom (Autor)

Buch | Hardcover

544 Seiten

2006 | 2nd edition
Pearson (Verlag)
978-0-13-187718-4 (ISBN)

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Focusing on the formal development of mathematics, this text teaches students how to read and understand mathematical proofs and to construct and write mathematical proofs. Addressing issues dealing with writing, it emphasizes practices of good writing. It is intended for one-semester courses in Transition to Advanced Mathematics.

For one-semester courses in Transition to Advanced Mathematics that emphasize the construction and writing of mathematical proofs.

Focusing on the formal development of mathematics, this text teaches students how to read and understand mathematical proofs and to construct and write mathematical proofs. Developed as a text for a writing course requirement, issues dealing with writing are addressed directly and practices of good writing are emphasized throughout the text. Active learning is emphasized with preview activities for each section and activities in each section that enable both teachers and students to test understanding and explore ideas in a traditional or non-lecture setting. Elementary number theory and congruence arithmetic are used throughout.

1. Introduction to Writing in Mathematics.

2. Logical Reasoning.

3. Constructing & Writing Proofs in Mathematics.

4. Set Theory.

5. Mathematical Induction.

6. Functions.

7. Equivalence Relations.

8. Topics in Number Theory.

9. Finite and Infinite Sets

Appendix: Guidelines for Writing Mathematical Proofs.

Erscheint lt. Verlag	29.6.2006
Sprache	englisch
Maße	242 x 184 mm
Gewicht	862 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	0-13-187718-6 / 0131877186
ISBN-13	978-0-13-187718-4 / 9780131877184
Zustand	Neuware