Synopsis:
"It has the content, examples, and exercises to supplement a standard text or lectures. The greater value is on subjects not appearing in many introductory texts such as Ptolemy's Theorem, Napoleon Circles, and pedal triangles." MAA Reviews This book provides a thorough, intermediate-level yet concise course in Trigonometry for use in colleges. There are 37 short chapters, each treating one specific theme and containing worked examples and easy exercises. Central to the work are the trigonometric properties of triangle ABC and its associated points. A small appendix contains some Spherical Trigonometry with interesting problems related to the earth; a larger one for enthusiastic students provides further lengthier exercises for extra practice, and full solutions are supplied in the conclusion. Compared with other books on Trigonometry, this book covers the vast spread of topics. Especially, the author reminds readers of the historical importance of theorems enunciated by such contributors as Ptolemy, Euler, Morley, etc. Their names not only invite the readers to appreciate the beauty of these results, but also direct readers to mystery unknown.
Review:
It has the content, examples, and exercises to supplement a standard text or lectures. The greater value is on subjects not appearing in many introductory texts such as Ptolemy's Theorem, Napoleon Circles, and pedal triangles. --MAA Reviews
There are many good features of this book: the use of the angle bisector theorem to deduce the half-angle formulae, the mention of theorems such as Morley, Brahmagupta and Ptolemy and a good treatment of many triangle identities which are often overlooked. --The Mathematical Gazette
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