Set theory for physicists /

This book gives a rigorous, physics focused, introduction to set theory that is geared towards natural science majors. We present the science major with a robust introduction to set theory, focusing on the specific knowledge and skills that will unavoidably be needed in calculus topics and natural s...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Pereyra, Nicolas A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2019]
Colección:IOP (Series). Release 6.
IOP concise physics.
Temas:
Set theory.
Statistical physics.
Mathematical physics.
SCIENCE / Physics / Mathematical & Computational.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Equality '='
  • 2. Fundamental properties of sets
  • 2.1. What is a set?
  • 2.2. Defining a set
  • 2.3. Equality of sets
  • 2.4. A set can be an element of another set
  • 2.5. A set cannot contain itself
  • 2.6. A set can be empty (null)
  • 2.7. Subsets
  • 3. Set operators
  • 3.1. What is a set operator?
  • 3.2. The [union] operator (UNION)
  • 3.3. The [intersection] operator (INTERSECTION)
  • 3.4. Mixed properties of [union] and [intersection]
  • 3.5. The operator (SET SUBTRACTION)
  • 3.6. Mixed properties of , [union] and [intersection]
  • 3.7. The x operator (CARTESIAN PRODUCT)
  • 4. Universal set systems
  • 4.1. What is a universal set?
  • 4.2. Complement
  • 4.3. Properties of the complement
  • 5. Relations and functions
  • 5.1. What is a relation?
  • 5.2. One-to-one relations
  • 5.3. What is a function?
  • 6. Equivalence relations and classes
  • 6.1. What is an equivalence relation?
  • 6.2. What is an equivalence class?
  • 7. Mathematical theory
  • 7.1. Axiomatic definitions and definitions
  • 7.2. Axioms and theorems.

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