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

By Michael L. O'Leary

A mathematical advent to the speculation and functions of good judgment and set thought with an emphasis on writing proofs

Highlighting the purposes and notations of uncomplicated mathematical recommendations in the framework of common sense and set idea, A First path in Mathematical common sense and Set Theory introduces how good judgment is used to organize and constitution proofs and resolve extra complicated problems.

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

  • Section routines designed to teach the interactions among themes and strengthen the provided principles and concepts
  • Numerous examples that illustrate theorems and hire easy ideas corresponding to Euclid’s lemma, the Fibonacci series, and exact factorization
  • Coverage of vital 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 very good textbook for college kids learning the rules of arithmetic and mathematical proofs, A First path in Mathematical good judgment and Set concept is additionally applicable for readers getting ready for careers in arithmetic schooling or desktop technological know-how. furthermore, the booklet is perfect for introductory classes on mathematical good judgment and/or set conception and acceptable for upper-undergraduate transition classes with rigorous mathematical reasoning concerning algebra, quantity idea, or analysis.


Show description

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

Similar logic books

Generalized Concavity in Fuzzy Optimization and Decision Analysis (International Series in Operations Research & Management Science)

Convexity of units in linear areas, and concavity and convexity of features, lie on the root of lovely theoretical effects that are whilst super necessary within the research and resolution of optimization difficulties, together with difficulties of both unmarried aim or a number of ambitions. now not all of those effects count unavoidably on convexity and concavity; the various effects can make sure that every one neighborhood optimal is usually a world optimal, giving those tools broader program to a much wider type of difficulties.

Computability and Unsolvability (Dover Books on Computer Science)

During this vintage textual content, Dr. Davis offers a transparent creation to computability, at a complicated undergraduate point, that serves the desires of experts and non-specialists alike. partially One (Chapters 1–5), Professor Davis outlines the final conception of computability, discussing such subject matters as computable features, operations on computable features, recursive services, Turing machines, self-applied, and unsolvable selection difficulties.

Elements of Automata Theory

Automata concept lies on the origin of machine technology, and is key to a theoretical knowing of ways pcs paintings and what constitutes formal tools. This treatise supplies a rigorous account of the subject and illuminates its genuine that means through the topic in quite a few methods. the 1st a part of the e-book is organised round notions of rationality and recognisability.

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 (London Mathematical Society Lecture Note Series)

The improvement of Maxim Kontsevich's preliminary rules on motivic integration has without warning stimulated many different parts of arithmetic, starting from the Langlands software over harmonic research, to non-Archimedean research, singularity conception and birational geometry. This publication assembles the several theories of motivic integration and their purposes for the 1st time, permitting readers to check diverse methods and examine their person strengths.

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

Sample text

Download PDF sample

Rated 4.11 of 5 – based on 24 votes