Induction in Geometry

L.I. Golovina, I M Yaglom

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English

Dover Publications Inc.
01 December 2019

Mathematics & Sciences; Geometry

nduction in Geometry discusses the application of the method of mathematical induction to the solution of geometric problems, some of which are quite intricate. The book contains 37 examples with detailed solutions and 40 for which only brief hints are provided. Most of the material requires only a background in high school algebra and plane geometry; chapter six assumes some knowledge of solid geometry, and the text occasionally employs formulas from trigonometry. Chapters are self-contained, so readers may omit those for which they are unprepared.

To provide additional background, this volume incorporates the concise text, The Method of Mathematical Induction. This approach introduces this technique of mathematical proof via many examples from algebra, geometry, and trigonometry, and in greater detail than standard texts. A background in high school algebra will largely suffice; later problems require some knowledge of trigonometry. The combination of solved problems within the text and those left for readers to work on, with solutions provided at the end, makes this volume especially practical for independent study.

AUTHORS: L. I. Golovina was on the faculty of Moscow State University.

I. M. Yaglom (192188) was affiliated with Moscow State Pedagogical Institute. He wrote several popular books on mathematics, including these Dover publications: Challenging Mathematical Problems with Elementary Solutions (with A. M. Yaglom) in two volumes, and The U.S.S.R. Olympiad Problem Book (with D. O. Shklarsky and N. N. Chentzov).

I. S. Sominskii was on the faculty of the Novgorod Pedagogical Institute.

By: L.I. Golovina, I M Yaglom
Imprint: Dover Publications Inc.
Country of Publication: United States
Dimensions: Height: 203mm, Width: 127mm, Spine: 10mm
Weight: 185g
ISBN: 9780486838564
ISBN 10: 0486838560
Pages: 176
Publication Date: 01 December 2019
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Unspecified

L. I. Golovina was on the faculty of Moscow State University. I. M. Yaglom (1921-88) was affiliated with Moscow State Pedagogical Institute. He wrote several popular books on mathematics, including these Dover publications: Challenging Mathematical Problems with Elementary Solutions (with A. M. Yaglom) in two volumes, and The U.S.S.R. Olympiad Problem Book (with D. O. Shklarsky and N. N. Chentzov). I. S. Sominskii was on the faculty of the Novgorod Pedagogical Institute.