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Proof in Geometry (With "Mistakes in Geometric Proofs")
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Product Details
Author:
A. I. Fetisov, Ya. S. Dubnov
Format:
Paperback
Pages:
144
Publisher:
Dover Publications (November 17, 2006)
Language:
English
ISBN-13:
9780486453545
ISBN-10:
0486453545
Weight:
6.32oz
Dimensions:
5.5" x 8.5"
File:
Dover-Dover_08032024_P7614837_onix30_Complete-20240803.xml
Folder:
Dover
List Price:
$11.95
Series:
Dover Books on Mathematics
Case Pack:
54
As low as:
$11.35
Publisher Identifier:
P-DOVER
Discount Code:
D
Audience:
College/higher education
Pub Discount:
65
Overview
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.
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.








