A First Course in Mathematical Logic and Set Theory

Overview

Rather than teach mathematics and the structure of proofs simultaneously, this book first introduces logic as the foundation of proofs and then demonstrates how logic applies to mathematical topics.  This method ensures that readers gain a firm understanding of how logic interacts with mathematics and empowers them to solve more complex problems. The study of logic and applications is used throughout to prepare readers for further work in proof writing.  Readers are first introduced to mathematical ...
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Overview

Rather than teach mathematics and the structure of proofs simultaneously, this book first introduces logic as the foundation of proofs and then demonstrates how logic applies to mathematical topics.  This method ensures that readers gain a firm understanding of how logic interacts with mathematics and empowers them to solve more complex problems. The study of logic and applications is used throughout to prepare readers for further work in proof writing.  Readers are first introduced to mathematical proof-writing, and then the book provides an overview of symbolic logic that includes two-column logic proofs.  Readers are then transitioned to set theory and induction, and applications of number theory, relations, functions, groups, and topology are provided to further aid in comprehension.  Topical coverage includes propositional logic, predicate logic, set theory, mathematical induction, number theory, relations, functions, group theory, and topology.
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Product Details

  • ISBN-13: 9780470905883
  • Publisher: Wiley
  • Publication date: 7/7/2015
  • Edition number: 1
  • Pages: 448

Meet the Author

Michael L. O'Leary, PhD, is Professor of Mathematics at the College of DuPage in Glen Ellyn, Illinois. He received his doctoral degree in mathematics from the University of California, Irvine in 1994 and is the author of Revolutions of Geometry, also published by Wiley.

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