Proofs and Fundamentals A First Course in Abstract Mathematics /

This textbook is designed to introduce undergraduates to the writing of rigorous mathematical proofs, and to fundamental mathematical ideas such as sets, functions, relations, and cardinality. The book serves as a bridge between computational courses such as calculus and more theoretical courses suc...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bloch, Ethan D. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2011.
Edición:2nd ed. 2011.
Colección:Undergraduate Texts in Mathematics,
Temas:
Mathematical logic.
Algebra.
Discrete mathematics.
Mathematical Logic and Foundations.
Discrete Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface to the Second Edition
  • Preface to the First Edition
  • To the Student
  • To the Instructor
  • Part I. Proofs
  • 1. Informal Logic
  • 2. Strategies for Proofs
  • Part II. Fundamentals
  • 3. Sets
  • 4. Functions
  • 5. Relations
  • 6. Finite and Infinite Sets
  • Part III. Extras
  • 7. Selected Topics
  • 8. Explorations
  • Appendix: Properties of Numbers
  • Bibliography
  • Index.

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