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 Title: Proof, Sets, and Logic
 Author(s): M. Randall Holmes
 Publisher: Boise State University (12/31/2023)
 Paperback: N/A
 eBook: PDF (481 pages)
 Language: English
 ISBN10: N/A
 ISBN13: N/A
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Book Description
Addressing the importance of constructing and understanding mathematical proofs, this book introduces key concepts from logic and set theory as well as the fundamental definitions of algebra to prepare readers for further study in the field of mathematics. The author supplies a seamless, handson presentation of number systems, utilizing key elements of logic and set theory and encouraging readers to abide by the fundamental rule that you are not allowed to use any results that you have not proved yet.
Abstraction is introduced as a tool, and special focus is dedicated to concrete, accessible applications, such as public key encryption, that are made possible by abstract ideas.
The book concludes with a selfcontained proof of Abel's Theorem and an investigation of deeper set theory by introducing the Axiom of Choice, ordinal numbers, and cardinal numbers.
About the Authors M. Randall Holmes is a professor of mathematics at Boise State University.
 Mathematical Logic  Set Theory, Model Theory, Computability, etc
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 Introduction to Computer Science
 Proof, Sets, and Logic (M. Randall Holmes)
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