Proof in Geometry: With Mistakes in Geometric Proofs - Brossura

Fetisov, A. I.; Dubnov, Ya. S.

Brossura

ISBN 10: 0486453545 ISBN 13: 9780486453545

Casa editrice: Dover Pubns, 2006

Riassunto

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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Product Description

This single-volume compilation of 2 books, Proof in Geometry and Mistakes in Geometric Proofs, 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. 1963 editions.

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 0486453545
• ISBN 13: 9780486453545
• Rilegatura: Copertina flessibile
• Numero di pagine: 128
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia