Mathematical Reasoning
Writing and Proof
Published on 10. September 2003
Book
Hardback
435 pages
978-0-13-061815-3 (ISBN)
Description
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.
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.
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Width: 240 mm
Thickness: 20 mm
Weight
810 gr
ISBN-13
978-0-13-061815-3 (9780130618153)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Ted Sundstrom
Mathematical Reasoning Writing and Proof
Book
06/2006
2nd Edition
Pearson
€76.74
Article is exhausted; no reprint
Content
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.
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.