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Core concepts in mathematics : set theory / authored and edited by 3G E-Learning LLC, USA

By: Copyright date: New York : 3G E-Learning LLC, 2019Description: 225 pages : color illustrations ; 24 cm + 1 DVD 4 3/4 inContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9781984620576
Subject(s): DDC classification:
  • 511.322 .T531 2019
Summary: "The set theory was developed by George Cantor in 1845-1918. Today, it is used in almost every branch of mathematics and serves as a fundamental part of present-day mathematics. Set theory is a branch of mathematical logic that studies set, which informally are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics. The language of set theory can be used in the definitions of nearly all mathematical objects. Core Concepts in Set Theory introduces set theory, mathematical induction, and formalizes the notion of mathematical functions. The material is mostly elementary. For those of you new to abstract mathematics elementary does not mean simple. In this book, we will learn about representation in roster form and set builder form, types of sets, cardinal number of a set, subsets (Proper subset, super set, power set), number of proper subsets, universal set, operation on sets (Union, intersection, difference and complement of sets). Rather, elementary means that the material requires very little previous education to understand it. Elementary material can be quite challenging and some of the material in this book, if not exactly rocket science, may require that you adjust your point of view to understand it. Although the necessary logic is presented in this book, it would be beneficial for the reader to have taken a prior course in logic under the auspices of mathematics, computer science or philosophy. In fact, it would be beneficial for everyone to have had a course in logic, but most people seem to make their way in the world without one. This is a classic introduction to set theory, from the basics through to the modern tools of combinatorial set theory. This book provides students of mathematics with the minimum amount of knowledge in logic and set theory needed for a profitable continuation of their studies. The DVD is also a useful tool for teachers to teach with digital resources in classroom and do a great job of illustrating skills and techniques that are otherwise difficult to explain."-- Provided by publisher
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Holdings
Item type Current library Collection Call number Status Date due Barcode
Print Materials Main Library General Circulation Non-fiction 511.322 .T531 2019 (Browse shelf(Opens below)) Available 0123834
Print Materials Main Library Multimedia Non-fiction 511.322 .T531 2019 (Browse shelf(Opens below)) Available CD05038
Browsing Main Library shelves, Shelving location: General Circulation, Collection: Non-fiction Close shelf browser (Hides shelf browser)
495.1 .R393 2018 Mandarin Chinese for beginners : 510.71 .F663 2019 Leading primary mathematics / 511.1 .Ad244 2016 Advanced discrete mathematics / 511.322 .T531 2019 Core concepts in mathematics : 512.9 .T531 2019 Core concepts in mathematics : 515 .St849 2018 Calculus : 515 .T531 2018 Basic calculus /

"With DVD" --cover page

Features:

- Full color book plus DVD
- Over 100 hours Interactive
E-lectures, Quiz and Videos in DVD
- DVD has many useful features for teachers to teach with digital resources in classroom --cover page

Includes bibliographical references and index

"The set theory was developed by George Cantor in 1845-1918. Today, it is used in almost every branch of mathematics and serves as a fundamental part of present-day mathematics. Set theory is a branch of mathematical logic that studies set, which informally are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics. The language of set theory can be used in the definitions of nearly all mathematical objects.
Core Concepts in Set Theory introduces set theory, mathematical induction, and formalizes the notion of mathematical functions. The material is mostly elementary. For those of you new to abstract mathematics elementary does not mean simple. In this book, we will learn about representation in roster form and set builder form, types of sets, cardinal number of a set, subsets (Proper subset, super set, power set), number of proper subsets, universal set, operation on sets (Union, intersection, difference and complement of sets). Rather, elementary means that the material requires very little previous education to understand it. Elementary material can be quite challenging and some of the material in this book, if not exactly rocket science, may require that you adjust your point of view to understand it. Although the necessary logic is presented in this book, it would be beneficial for the reader to have taken a prior course in logic under the auspices of mathematics, computer science or philosophy. In fact, it would be beneficial for everyone to have had a course in logic, but most people seem to make their way in the world without one. This is a classic introduction to set theory, from the basics through to the modern tools of combinatorial set theory. This book provides students of mathematics with the minimum amount of knowledge in logic and set theory needed for a profitable continuation of their studies.
The DVD is also a useful tool for teachers to teach with digital resources in classroom and do a great job of illustrating skills and techniques that are otherwise difficult to explain."-- Provided by publisher

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