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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:
Acceso en línea:Texto completo

MARC

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020 |z 9781643276472  |q print 
024 7 |a 10.1088/2053-2571/ab126a  |2 doi 
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072 7 |a PHU  |2 bicssc 
072 7 |a SCI040000  |2 bisacsh 
082 0 4 |a 530.1/51322  |2 23 
100 1 |a Pereyra, Nicolas A.,  |e author. 
245 1 0 |a Set theory for physicists /  |c Nicolas A. Pereyra. 
264 1 |a San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) :  |b Morgan & Claypool Publishers,  |c [2019] 
264 2 |a Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :  |b IOP Publishing,  |c [2019] 
300 |a 1 online resource (various pagings) :  |b illustrations (some color). 
336 |a text  |2 rdacontent 
337 |a electronic  |2 isbdmedia 
338 |a online resource  |2 rdacarrier 
490 1 |a [IOP release 6] 
490 1 |a IOP concise physics,  |x 2053-2571 
500 |a "Version: 20190501"--Title page verso. 
500 |a "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso. 
504 |a Includes bibliographical references. 
505 0 |a 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 
505 8 |a 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) 
505 8 |a 4. Universal set systems -- 4.1. What is a universal set? -- 4.2. Complement -- 4.3. Properties of the complement 
505 8 |a 5. Relations and functions -- 5.1. What is a relation? -- 5.2. One-to-one relations -- 5.3. What is a function? 
505 8 |a 6. Equivalence relations and classes -- 6.1. What is an equivalence relation? -- 6.2. What is an equivalence class? 
505 8 |a 7. Mathematical theory -- 7.1. Axiomatic definitions and definitions -- 7.2. Axioms and theorems. 
520 3 |a 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. 
530 |a Also available in print. 
538 |a Mode of access: World Wide Web. 
538 |a System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. 
545 |a 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. 
588 0 |a Title from PDF title page (viewed on June 5, 2019). 
650 0 |a Set theory. 
650 0 |a Statistical physics. 
650 7 |a Mathematical physics.  |2 bicssc 
650 7 |a SCIENCE / Physics / Mathematical & Computational.  |2 bisacsh 
710 2 |a Morgan & Claypool Publishers,  |e publisher. 
710 2 |a Institute of Physics (Great Britain),  |e publisher. 
776 0 8 |i Print version:  |z 9781643276472 
830 0 |a IOP (Series).  |p Release 6. 
830 0 |a IOP concise physics. 
856 4 0 |u https://iopscience.uam.elogim.com/book/978-1-64327-650-2  |z Texto completo