Mathematical Reasoning

Writing and Proof

Ted A. Sundstrom (Autor)

Buch | Hardcover

435 Seiten

2003
Pearson (Verlag)
978-0-13-061815-3 (ISBN)

Infos

Designed for undergraduates beginning mathematics courses after calculus. Focusing on the formal development of mathematics, this text teaches students how to read and understand, write and construct mathematical proofs.

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For one-semester courses in Transition to Advanced Mathematics and Proofs. For undergraduates beginning mathematics courses after calculus.

Focusing on the formal development of mathematics, this text teaches students how to read and understand, write and construct mathematical proofs. It emphasizes active learning, and uses elementary number theory and congruence arithmetic throughout. This text assumes students have taken one semester of calculus.

Inhalt

1. Introduction to Writing in Mathematics.


2. Logical Reasoning.


3. Constructing and Writing Proofs in Mathematics.


4. Set Theory.


5. Mathematical Induction.


6. Functions.


7. Equivalence Relations.


8. Topics in Number Theory.


9. Topics in Set Theory.


A: Guidelines for Writing Mathematical Proofs.


B: Answers and Hints for Selected Exercises.


C: List of Symbols.

Produkt-Details

• Erscheint lt. Verlag: 10.9.2003
• Sprache: englisch
• Gewicht: 810 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• ISBN-10: 0-13-061815-2 / 0130618152
• ISBN-13: 978-0-13-061815-3 / 9780130618153
• Zustand: Neuware