First Order Mathematical Logic

First Order Mathematical Logic by ANGELO MARGARIS


Authors
ANGELO MARGARIS
ISBN
9780486662695
Published
Binding
Paperback
Pages
212
Dimensions
136 x 215mm

""Attractive and well-written introduction."" - Journal of Symbolic LogicThe logic that mathematicians use to prove their theorems is itself a part of mathematics, in the same way that algebra, analysis, and geometry are parts of mathematics. This attractive and well-written introduction to mathematical logic is aimed primarily at undergraduates with some background in college-level mathematics; however, little or no acquaintance with abstract mathematics is needed.Divided into three chapters, the book begins with a brief encounter of naive set theory and logic for the beginner, and proceeds to set forth in elementary and intuitive form the themes developed formally and in detail later. In Chapter Two, the predicate calculus is developed as a formal axiomatic theory. The statement calculus, presented as a part of the predicate calculus, is treated in detail from the axiom schemes through the deduction theorem to the completeness theorem. Then the full predicate calculus is taken up again, and a smooth-running technique for proving theorem schemes is developed and exploited.Chapter Three is devoted to first-order theories, i.e., mathematical theories for which the predicate calculus serves as a base. Axioms and short developments are given for number theory and a few algebraic theories. Then the metamathematical notions of consistency, completeness, independence, categoricity, and decidability are discussed, and the predicate calculus is proved to be complete. The book concludes with an outline of Godel's incompleteness theorem.Ideal for a one-semester course, this concise text offers more detail and mathematically relevant examples than those available in elementary books on logic. Carefully chosen exercises, with selected answers, help students test their grasp of the material. For any student of mathematics, logic, or the interrelationship of the two, this book represents a thought-provoking introduction to the logical underpinnings of mathematical theory.""An excellent text."" - Mathematical Reviews
Christmas Catalogue 2024 x BookFrenzy
21.24
RRP: $24.99
15% off RRP


This product is unable to be ordered online. Please check in-store availability.
Instore Price: $24.99
Enter your Postcode or Suburb to view availability and delivery times.

You might also like

Simply Maths
19.99
16.99
15% Off
Adam Spencers Maths 101
35.00
16.00
54% Off
Humble Pi
24.99
21.24
15% Off
Speed Mathematics 3rd Ed
22.95
19.51
15% Off
Vector
44.99
38.24
15% Off

RRP refers to the Recommended Retail Price as set out by the original publisher at time of release.
The RRP set by overseas publishers may vary to those set by local publishers due to exchange rates and shipping costs.
Due to our competitive pricing, we may have not sold all products at their original RRP.