A First Course in Mathematical Logic and Set Theory by Michael L. O'Leary

By Michael L. O'Leary

A mathematical creation to the speculation and purposes of common sense and set idea with an emphasis on writing proofs

Highlighting the purposes and notations of uncomplicated mathematical suggestions in the framework of common sense and set thought, A First path in Mathematical common sense and Set Theory introduces how good judgment is used to arrange and constitution proofs and clear up extra complicated problems.

The booklet starts off with propositional good judgment, together with two-column proofs and fact desk functions, via first-order common sense, which supplies the constitution for writing mathematical proofs. Set concept is then brought and serves because the foundation for outlining kin, capabilities, numbers, mathematical induction, ordinals, and cardinals. The publication concludes with a primer on easy version idea with purposes to summary algebra. A First path in Mathematical common sense and Set thought also includes:

  • Section workouts designed to teach the interactions among subject matters and strengthen the offered rules and concepts
  • Numerous examples that illustrate theorems and hire simple options reminiscent of Euclid’s lemma, the Fibonacci series, and specific factorization
  • Coverage of significant theorems together with the well-ordering theorem, completeness theorem, compactness theorem, in addition to the theorems of Löwenheim–Skolem, Burali-Forti, Hartogs, Cantor–Schröder–Bernstein, and König

An first-class textbook for college students learning the rules of arithmetic and mathematical proofs, A First direction in Mathematical good judgment and Set thought is additionally applicable for readers getting ready for careers in arithmetic schooling or machine technology. furthermore, the e-book is perfect for introductory classes on mathematical good judgment and/or set conception and acceptable for upper-undergraduate transition classes with rigorous mathematical reasoning regarding algebra, quantity conception, or analysis.

 

Show description

Read or Download A First Course in Mathematical Logic and Set Theory PDF

Best logic books

Mathematical Reasoning: Analogies, Metaphors, and Images (Studies in Mathematical Thinking and Learning Series)

How we cause with mathematical rules remains to be a desirable and difficult subject of research--particularly with the fast and various advancements within the box of cognitive technology that experience taken position in recent times. since it attracts on a number of disciplines, together with psychology, philosophy, laptop technology, linguistics, and anthropology, cognitive technological know-how presents wealthy scope for addressing concerns which are on the middle of mathematical studying.

Infinity and Truth (Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore)

This quantity is predicated at the talks given on the Workshop on Infinity and fact held on the Institute for Mathematical Sciences, nationwide collage of Singapore, from 25 to 29 July 2011. The chapters hide subject matters in mathematical and philosophical common sense that learn a variety of elements of the rules of arithmetic.

Ways of Proof Theory (Ontos Mathematical Logic)

At the get together of the retirement of Wolfram Pohlers the Institut für Mathematische Logik und Grundlagenforschung of the college of Münster prepared a colloquium and a workshop which came about July 17 – 19, 2008. This occasion introduced jointly evidence theorists from many components of the area who've been performing as lecturers, scholars and collaborators of Wolfram Pohlers and who've been shaping the sphere of facts concept through the years.

Software Technologies: Applications and Foundations: STAF 2016 Collocated Workshops: DataMod, GCM, HOFM, MELO, SEMS, VeryComp, Vienna Austria, July 4-8, ... Papers (Lecture Notes in Computer Science)

This e-book includes the completely refereed technical papers awarded in six workshops collocated with the overseas convention on software program applied sciences: purposes and Foundations, STAF 2016, held in Vienna, Austria, in July 2016. The six workshops whose papers are incorporated during this quantity are: DataMod, GCM, HOFM, MELO, SEMS, and VeryComp.

Additional info for A First Course in Mathematical Logic and Set Theory

Sample text

Download PDF sample

Rated 4.71 of 5 – based on 44 votes