Exploring Mathematics Problem-Solving and Proof
Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving p...
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| Otros Autores: | |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer
2018.
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| Colección: | Springer Undergraduate Mathematics Series,
Springer eBooks. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b38043646*spi |
Tabla de Contenidos:
- Introduction
- 1 First explorations
- 2 Recursion - a fundamental idea
- 3 Mathematical induction
- 4 Graphs
- 5 Counting
- 6 General problem solving strategies
- 7 Logic and proofs
- 8 Elementary number theory
- 9 The pigeonhole principle
- 10 The extremal principle
- 11 The invariance principle
- A A survey of problem-solving strategies
- B Basics on sets and maps
- List of symbols
- Glossary
- Lists of problems, theorems and methods
- Hints for selected exercises
- References.
