A logical introduction to proof

A Logical Introduction to Proof is a unique textbook that uses a logic-first approach to train and guide undergraduates through a transition or bridge course  between calculus and advanced mathematics courses.  The author s approach  prepares the student for the rigors required in future mathematics...

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Detalles Bibliográficos
Autor principal: Cunningham, Daniel W.
Formato: Livre numérique
Lenguaje:Anglais
Publicado: New York, NY : Springer New York : Imprint: Springer [20..].
Cham : Springer Nature
Materias:
Acceso en línea:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• A logical introduction to proof, Daniel W. Cunningham, New York, Springer, 2012, 1 vol.(XV-356 p.), 978-1-461-43630-0
Tabla de Contenidos:
  • Preface The Greek Alphabet 1. Propositional Logic 2. Predicate Logic 3. Proof Strategies and Diagrams 4. Mathematical Induction 5. Set Theory 6. Functions 7. Relations 8. Core Concepts in Abstract Algebra 9. Core Concepts in Real Analysis A Summary of Strategies References List of Symbols. Index
  • Preface
  • The Greek Alphabet
  • 1. Propositional Logic
  • 2. Predicate Logic
  • 3. Proof Strategies and Diagrams
  • 4. Mathematical Induction
  • 5. Set Theory
  • 6. Functions
  • 7. Relations
  • 8. Core Concepts in Abstract Algebra
  • 9. Core Concepts in Real Analysis
  • A Summary of Strategies
  • References
  • List of Symbols. Index