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Elements of Logic via Numbers and Sets (Springer Undergraduate Mathematics Series) [Paperback]

D.L. Johnson (Author)

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Product details

Paperback: 188 pages
Publisher: Springer; 1st ed. 1998. Corr. 2nd printing edition (14 Jan 1998)
Language English
ISBN-10: 3540761233
ISBN-13: 978-3540761235
Product Dimensions: 2.4 x 1.7 x 0.1 cm
Amazon Bestsellers Rank: 196,979 in Books (See Top 100 in Books)
- #6 in Books > Scientific, Technical & Medical > Mathematics > Mathematical Theory > Set Theory
- #8 in Books > Scientific, Technical & Medical > Mathematics > Mathematical Theory > Mathematical Logic
- #12 in Books > Science & Nature > Mathematics > Mathematical Foundations > Set Theory

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Product Description

Review

From the reviews: “It took me a while to appreciate the need for a course intended to introduce mathematics undergraduates to advanced mathematics after they finish the calculus sequence. … This was the first book I found that seems really close to the core. It is well-written and very well suited to such a course.” (James M. Cargal, UMAP Journal, Vol. 31 (1), 2010)

Product Description

In mathematics we are interested in why a particular formula is true. Intuition and statistical evidence are insufficient, so we need to construct a formal logical proof. The purpose of this book is to describe why such proofs are important, what they are made of, how to recognize valid ones, how to distinguish different kinds, and how to construct them. This book is written for 1st year students with no previous experience of formulating proofs. Dave Johnson has drawn from his considerable experience to provide a text that concentrates on the most important elements of the subject using clear, simple explanations that require no background knowledge of logic. It gives many useful examples and problems, many with fully-worked solutions at the end of the book. In addition to a comprehensive index, there is also a useful `Dramatis Personae` an index to the many symbols introduced in the text, most of which will be new to students and which will be used throughout their degree programme.

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First Sentence
This book is based on a module given to first-year undergraduates at the University of Nottingham with the aim of bridging the gap between school and university in mathematics. Read the first page

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Amazon.com: 1 review

9 of 10 people found the following review helpful

The Best Introduction To Logic and Set Theory 12 Dec 2001

By Dino - Published on Amazon.com

Format:Paperback

This is the clearest and most thorough introduction to the subject matter I've read. The beginner interested in logic, sets, relations, maps and cardinal numbers cannot do better than to read this text.

It also has solutions to most exercises, a very good index and a guide to all of the symbols and notation that appear.

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