Mathematical reasoning patterns, problems, conjectures, and proofs
"This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the 'truths' of mathemat...
| Autor principal: | |
|---|---|
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
New York :
Psychology Press
c2010.
|
| Edición: | 1st ed |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009798144806719 |
Tabla de Contenidos:
- Cover; Mathematical Reasoning: Patterns, problems, conjectures, and proofs; Copyright; Contents; The Author; Preface; 1. What Is Mathematics?; 2. Counting; 3. Numbers; 4. Deduction and Abstraction; 5. Proofs; 6. Informal Reasoning in Mathematics; 7. Representation in Mathematics; 8. Infinity; 9. Infinitesimals; 10. Predilections, Presumptions, and Personalities; 11. Esthetics and the Joys of Mathematics; 12. The Usefulness of Mathematics; 13. Foundations and the "Stuff" of Mathematics; 14. Preschool Development of Numerical and Mathematical Skills; 15. Mathematics in School
- 16. Mathematical Problem Solving17. Final Thoughts; References; Appendix: Notable (Deceased) Mathematicians, Logicians, Philosophers, and Scientists Mentioned in the Text; Author Index; Subject Index
