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Handbook of Mathematical Induction.
"Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathe...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boca Raton :
Chapman and Hall/CRC,
2014.
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| Colección: | Discrete Mathematics and Its Applications Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Dedication; Contents; Foreword; Preface; About the author; Part I: Theory; Chapter 1: What is mathematical induction?; Chapter 2: Foundations; Chapter 3: Variants of finite mathematical induction; Chapter 4: Inductive techniques applied to the infinite; Chapter 5: Paradoxes and sophisms from induction; Chapter 6: Empirical induction; Chapter 7: How to prove by induction; Chapter 8: The written MI proof; Part II: Applications and exercises; Chapter 9: Identities; Chapter 10: Inequalities; Chapter 11: Number theory; Chapter 12: Sequences; Chapter 13: Sets.
- Chapter 14: Logic and languageChapter 15: Graphs; Chapter 16: Recursion and algorithms; Chapter 17: Games and recreations; Chapter 18: Relations and functions; Chapter 19: Linear and abstract algebra; Chapter 20: Geometry; Chapter 21: Ramsey theory; Chapter 22: Probability and statistics; Part III: Solutions and hints to exercises; Chapter 23: Solutions: Foundations; Chapter 24: Solutions: Inductive techniques applied to the infinite; Chapter 25: Solutions: Paradoxes and sophisms; Chapter 26: Solutions: Empirical induction; Chapter 27: Solutions: Identities.
- Chapter 28: Solutions: InequalitiesChapter 29: Solutions: Number theory; Chapter 30: Solutions: Sequences; Chapter 31: Solutions: Sets; Chapter 32: Solutions: Logic and language; Chapter 33: Solutions: Graphs; Chapter 34: Solutions: Recursion and algorithms; Chapter 35: Solutions: Games and recreation; Chapter 36: Solutions: Relations and functions; Chapter 37: Solutions: Linear and abstract algebra; Chapter 38: Solutions: Geometry; Chapter 39: Solutions: Ramsey theory; Chapter 40: Solutions: Probability and statistics; Part IV: Appendices; Appendix A: ZFC axiom system.
- Appendix B: Inducing you to laugh?Appendix C: The Greek alphabet; References.