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Proof in Geometry. With Mistakes in Geometric Proofs

Proof in Geometry. With Mistakes in Geometric Proofs

Автор: Fetisov A.I.

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Раздел: Dover Publications

Издательство: Dover Publications
ISBN: 978-0-486-45354-5
Год: 2006

Переплет: мягкая обложка
Страниц: 128
Язык: английский
Размеры: 215x137x7 мм

7 280 тг.

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Поступление на склад 29.12.2016
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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.

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