Author: L.I. Golovina
Publisher: Courier Dover Publications
ISBN: 0486838560
Category : Mathematics
Languages : en
Pages : 177
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Book Description
Induction 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.
Author: Lidiia Ivanovna Golovina
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 106
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Book Description
Author: Jean Nicod
Publisher: Routledge
ISBN: 1317830695
Category : Philosophy
Languages : en
Pages : 291
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Book Description
This is Volume of IV eight on a series on the Philosophy of Logic and Mathematics. Originally published in 1930, this study contains sections on geometry in the sensible world and the logical problem of induction.
Author: Jean Nicod
Publisher: Univ of California Press
ISBN: 9780520016897
Category : Mathematics
Languages : en
Pages : 270
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Book Description
Author: Jean Nicod
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 302
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Book Description
Author: Jean Nicod
Publisher:
ISBN: 9780415218030
Category : Geometry
Languages : en
Pages : 286
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Book Description
Author: Jean Nicod
Publisher:
ISBN: 9780710064530
Category : Geometry
Languages : en
Pages : 245
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Book Description
Author:
Publisher:
ISBN: 9780415225755
Category : Logic
Languages : en
Pages : 195
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Book Description
Author: Jean Nicod
Publisher:
ISBN:
Category :
Languages : en
Pages : 245
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Book Description
Author: Titu Andreescu
Publisher:
ISBN: 9780996874595
Category : Induction (Mathematics)
Languages : en
Pages : 432
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Book Description
This book serves as a very good resource and teaching material for anyone who wants to discover the beauty of Induction and its applications, from novice mathematicians to Olympiad-driven students and professors teaching undergraduate courses. The authors explore 10 different areas of mathematics, including topics that are not usually discussed in an Olympiad-oriented book on the subject. Induction is one of the most important techniques used in competitions and its applications permeate almost every area of mathematics.
