Geometry civilized : history, culture, and technique
著者
書誌事項
Geometry civilized : history, culture, and technique
Clarendon Press , Oxford University Press, 1998
- : hbk
- : pbk
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注記
Includes bibliographical references p.[297]-304
Includes index
内容説明・目次
内容説明
This text provides an unusual approach to the teaching and learning of geometry. Placing the subject in a wide general context Heilbron combines history and science. A cross-cultural examination of topics are given in this book. It covers classical plane geometry, emphasizing the methods of Euclid but also drawing on the different and often effective approaches of the Chinese and Indians. Applications as well as theories are considered, and the book offers a wide range of problems, solutions, and illustrations. A chapter on trigonometry is included, and the material covered prepares the way for study of solid geometry and conic sections.
目次
Preface. 1: An old story. 1.1: Euclid and his modern rivals. 1.2: Geometry in and as culture. 1.3: No royal road. 2: From points to proof. 2.1: Necessary ingredients. 2.2: The size of the Earth. 2.3: The point of proof. 2.4: Exercises. 3: Tricks with triangles. 3.1: Bridge of asses. 3.2: Practice. 3.3: Similarity. 3.4: Deception. 3.5: Exercises. 4: Many cheerful facts about the square of the hypoteneuse. 4.1: The Theorem of Pythagoras. 4.2: The Chinese Pythagoras. 4.3: More trigonometry. 4.4: Exercises
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