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Elements of Logic Via Numbers and Sets : Springer Undergraduate Mathematics - D.L. Johnson

Elements of Logic Via Numbers and Sets

Springer Undergraduate Mathematics

Paperback Published: 25th September 1998
ISBN: 9783540761235
Number Of Pages: 188

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In pure mathematics we are interested in why a particular formula is true rather than when to apply it. Intuition and statistical evidence are insufficient justification, 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. In writing this text for first year students with no previous experience of formulating proofs, Dave Johnson has drawn from his considerable experience of teaching 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, number theory or set theory. 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 undergraduates and which will be used throughout their degree programme.

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)

Cardinal Numbers
Solutions to Selected Excercises
Guide to Literature
Dramatis Personae
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540761235
ISBN-10: 3540761233
Series: Springer Undergraduate Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 188
Published: 25th September 1998
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: GB
Dimensions (cm): 23.5 x 16.94  x 1.3
Weight (kg): 0.32