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A Readable Introduction to Real Mathematics

Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to engage the reader and to teach a real understanding of mathematical thinking while conveying the beauty...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Rosenthal, Daniel (Autor), Rosenthal, David (Autor), Rosenthal, Peter (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Undergraduate Texts in Mathematics,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1. Introduction to the Natural Numbers
  • 2. Mathematical Induction
  • 3. Modular Arithmetic
  • 4. The Fundamental Theorem of Arithmetic
  • 5. Fermat's Theorem and Wilson's Theorem
  • 6. Sending and Receiving Coded Messages
  • 7. The Euclidean Algorithm and Applications
  • 8. Rational Numbers and Irrational Numbers
  • 9. The Complex Numbers
  • 10. Sizes of Infinite Sets
  • 11. Fundamentals of Euclidean Plane Geometry
  • 12. Constructability.