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abelgalois
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"100% Mathematical Proof" vs Vellmen's "How to Prove it"
Hello, I'm looking for books that teach proof methods and techniques. I know Vellemen's book is a popular choice but a few dissenting reviews among unanimous praise, on its amazon page, caught my attention. Like this one:
And here are a coupe of positive reviews under "100% Mathematical Proofs" page:
So has anyone else used this book to learn how to write proofs? How does it compare to Vellemen's book?
Hello, I'm looking for books that teach proof methods and techniques. I know Vellemen's book is a popular choice but a few dissenting reviews among unanimous praise, on its amazon page, caught my attention. Like this one:
I found that this book utilized a little too much set theory for beginning students. If the author could have given more concrete examples, perhaps from group theory or simpler ones from analysis or number theory, it would have been much better. For students wanting a more lucid exposition of proof techniques, I highly recommend, "100% Mathematical Proof" by Rowan Garnier and someone else,whos name escapes me at the moment. "100% Mathematical Proof" is far superior to this book, and it has answers to the exercises which is crucial to the beginning student learning on his/her own. Velleman needs to bring the abstract nearer to the concrete for the beginning student.
And here are a coupe of positive reviews under "100% Mathematical Proofs" page:
This sentence exactly describes the books content. You'll find a lucid explanation without any shortcoming. This is the math that masters keep as secret of their kingdom. This book reveals all secrets and you'll see, masters are also humans like you.
You'll understand what the real power of mathematical proofs (without mythes). Further you'll have a good idea about the structure of mathematical theories, and their axiomatic base.
I first came across this book while searching for similar titles in a university library. Of all of the books on mathematical logic/proofs, this one stands as the definitive source for proof techniques of all skill levels. This book is easy to read, while at the same time, presents the methods in a systematic way to help the reader's conceptual understanding and develop their full potential. I am a mathematics major and this book has helped me tremendously and I am sure it will do the same for others!
So has anyone else used this book to learn how to write proofs? How does it compare to Vellemen's book?