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Highlighting the applications and notations of basic mathematical concepts within the framework of logic and set theory, A First Course in Mathematical Logic and Set Theory introduces how logic is used to prepare and structure proofs and solve more complex problems.
The book begins with propositional logic, including two–column proofs and truth table applications. This is followed by first–order logic, which provides the structure for writing mathematical proofs. Set theory is then introduced and serves as the basis for defining relations, functions, numbers, mathematical induction, ordinals, and cardinals. The book concludes with a primer on basic model theory with applications to abstract algebra. A First Course in Mathematical Logic and Set Theory also includes:
An excellent textbook for students studying the foundations of mathematics and mathematical proofs, A First Course in Mathematical Logic and Set Theory is also appropriate for readers preparing for careers in mathematics education or computer science. In addition, the book is ideal for introductory courses on mathematical logic and/or set theory and appropriate for upper–undergraduate level transition courses with rigorous mathematical reasoning involving algebra, number theory, or analysis.
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.
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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Description du livre Etat : new. N° de réf. du vendeur 7779b08630d81854feb997a8abb20022
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Description du livre hardback. Etat : New. Language: ENG. N° de réf. du vendeur 9780470905883
Description du livre Etat : New. N° de réf. du vendeur 10112947-n
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Description du livre Etat : New. N° de réf. du vendeur ABLIING23Feb2215580222062
Description du livre Etat : New. Rather than teach mathematics and the structure of proofssimultaneously, this book first introduces logic as the foundationof proofs and then demonstrates how logic applies to mathematicaltopics. This method ensures that readers gain a firmunderstanding of how logic interacts with mathematics and empowersthem to solve more complex problems. Num Pages: 464 pages. BIC Classification: PBCD. Category: (P) Professional & Vocational. Dimension: 163 x 242 x 29. Weight in Grams: 768. . 2015. 1st Edition. Hardcover. . . . . N° de réf. du vendeur V9780470905883
Description du livre Etat : New. A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofsHighlighting the applications and notations of basic mathematical concepts within the framework of logic and set theory, A First Course in M. N° de réf. du vendeur 33636277
Description du livre Etat : New. Buy with confidence! Book is in new, never-used condition. N° de réf. du vendeur bk0470905883xvz189zvxnew