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'The book begins with the basic concepts of logic and theory ... These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. No background standard in high scholl mathematics is assumed.' L'enseignement mathematique
Review
'The book begins with the basic concepts of logic and theory ... These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. No background standard in high scholl mathematics is assumed.' L'enseignement mathematique
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First Sentence
As we saw in the introduction, proofs play a central role in mathematics, and deductive reasoning is the foundation on which proofs are based. Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Index
As we saw in the introduction, proofs play a central role in mathematics, and deductive reasoning is the foundation on which proofs are based. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index
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Most Helpful Customer Reviews
15 of 15 people found the following review helpful
Format:Paperback
I agree with Usispaul's comments.
I only want to add that this is a wonderful introduction to mathematical thinking. It is completely engaging, and not like other textbooks. [This is a rigorous math book (not a book about math) and covers the material of first course for mathematics majors, logic, sets, relations, functions.] There are exercises (do them!) and examples.
I took math in college, but this book made me want to know MORE about mathematics.
24 of 26 people found the following review helpful
Format:Paperback
I first purchased this book two years ago and became really excited when I found that I had it in me to write proofs. The truth be told, I have NOT STOPPED writing proofs since being inspired by this book. It is a masterpiece and I think ANY student approaching the writing of proofs for the first time couldn't possibly go wrong with an investment in a copy of this book. I also think that professors teaching a first class in abstract mathematics would be doing a service to their students by either requiring the book or giving it serious recommendation. AWESOME!!
12 of 13 people found the following review helpful
Format:Paperback
The emphasis of Vellemans book on the difference between manufacturing a proof and the proof's final presentation speaks directly to the confusion of the uninitiated to proofs. It meets the (perhaps frequent) naive expectation of an invariable and immediate recognition of a polished proofs rhyme and reason. It consequently points to the often necessary autonomous efforts of the student to independantly unravel the proof of a theorem or definition.
The book moves rapidly from the necessary setential logic and truth tabels (a Wittgensteinian invention) to the chapters on proof writing and follows with chapters on functions, relations, closures, and more.
The book moves rapidly from the necessary setential logic and truth tabels (a Wittgensteinian invention) to the chapters on proof writing and follows with chapters on functions, relations, closures, and more.
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Most Recent Customer Reviews
Kindle edition spoilt by garbled formulae.
This should be an excellent introduction to the logic and construction of mathematical proofs. However, there are far too many examples and questions that are rendered unreadable... Read more
Published 11 months ago by rookie
Fabulous book but requires some commitment
This is a beautiful introduction to proofs, propositional logic, sets, relations and functions for first year university students. Read more
Published 20 months ago by Hugh Janus
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