The Nuts and Bolts of Proofs An Introduction to Mathematical Proofs
Antonella Cupillari instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work and providing them with techniques they can use to gain an inside view of the subject.
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Waltham, MA :
Academic Press, an imprint of Elsevier Inc
[2013]
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| Edición: | Fourth edition |
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| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009672605506719 |
Tabla de Contenidos:
- Chapter 1: Getting Started Introduction and Basic Terminology General Suggestions Chapter 2: Basic Techniques to Prove If/Then Statements What Does "If/Then" Mean? Direct Proof The Negation of a Statement, And/Or Proof by Contrapositive Proof by Contradiction Chapter 3: Special kinds of Theorems "If and only if" or Equivalence Theorems Use of Counterexamples Mathematical Induction Existence Theorems Uniqueness Theorems Composite Statements Equality of Numbers Chapter 4: Some mathematical topics on which to practice proof techniques Basic Set Theory About Functions Relations The Basics of Groups Limits Cardinality and Sizes of Infinity Chapter 5: Review Exercises Exercises Without Solutions Collection of Proofs Solutions for the Exercises at the End of the Sections and the Review Exercises Solutions for the Exercises at the End of the Sections Solutions for the Review Exercises Other Books on the Subject of Proofs and Mathematical Writing
