Set theory for physicists /

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"Version: 20190501"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.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. Subsets3. 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 complement5. 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.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 science topics in general, rather than taking a philosophical-math-fundamental oriented approach that is commonly found in set theory textbooks.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Dr Pereyra pursued his undergraduate studies in Physics in Caracas at the Universidad Central de Venezuela, where he graduated in 1991. Following this, he studied Physics at University of Maryland at College Park where he obtained his MS and PhD in 1995 and 1997. Currently, Dr Pereyra is an Associate Professor in Astrophysics at the Physics and Astronomy Department of the University of Texas Rio Grande Valley. Dr Pereyra's research work has been largely in the development of computational models of physical systems. Currently, Dr Pereyra is working on the development of computational models of accretion disk winds in QSOs.Title from PDF title page (viewed on June 5, 2019).

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Publisher

: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9781643276502

Classification

530.1/51322

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Subject(s)

SCIENCE / Physics / Mathematical & Computational.
Mathematical physics.
Statistical physics.
Set theory.

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Statement of Responsibility

Nicolas A. Pereyra.

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