Proof in Geometry: With “Mistakes in Geometric Proofs” (Dover Books on Mathematics) by A. I. Fetisov (PDF)

Description

This single-volume compilation of two books explores the construction of geometric proofs. In addition to offering useful criteria for determining correctness, it presents examples of faulty proofs that illustrate common errors. High-school geometry is the sole prerequisite.Proof in Geometry, the first in this two-part compilation, discusses the construction of geometric proofs and presents criteria useful for determining whether a proof is logically correct and whether it actually constitutes proof. It features sample invalid proofs, in which the errors are explained and corrected.Mistakes in Geometric Proofs, the second book in this compilation, consists chiefly of examples of faulty proofs. Some illustrate mistakes in reasoning students might be likely to make, and others are classic sophisms. Chapters 1 and 3 present the faulty proofs, and chapters 2 and 4 offer comprehensive analyses of the errors.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The part of the description for this book that I missed was “High-school geometry is the sole prerequisite”. The book is not written on a High School level but might be what one would want if attending college. Not saying the book is bad but if you are expecting Geometry for Dummies, then I would look elsewhere.

⭐This is a great book to read if you want to understand how to perform proofs.

⭐Great shape as described.

⭐Llevaba mucho tiempo buscando el libro en versión impresa. Tomó un tiempo normal en llegar por ser importado.

⭐

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