- Hardcover: 780 pages
- Publisher: W. H. Freeman; 3rd edition (March 14, 2003)
- Language: English
- ISBN-10: 0716743612
- ISBN-13: 978-0716743613
- Product Dimensions: 7.8 x 1.2 x 10.8 inches
- Shipping Weight: 3.3 pounds
- Average Customer Review: 44 customer reviews
- Amazon Best Sellers Rank: #221,886 in Books (See Top 100 in Books)
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Geometry: Seeing, Doing, Understanding, 3rd Edition 3rd Edition
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Jacobs begins the text with a discussion of inductive reasoning and its limitations. He uses this discussion to stress the importance of deductive reasoning and proof before introducing Euclid's postulates. Jacobs covers lines and angles, congruence, inequalities, parallel lines, quadrilaterals, and transformations of the plane before a midterm review. Then he covers area, similarity, right triangle trigonometry, circles, concurrence theorems, regular polygons in relation to the circle, geometric solids, and non-Euclidean geometries before concluding with a final review. Each chapter contains a summary and a chapter review in addition to the problem sets at the end of each section.
Jacobs carefully develops the material, proving each result except in the more intuitive discussions in the chapters on transformations, solids, and non-Euclidean geometries. I found the chapter on concurrence theorems particularly fascinating.
The book contains a glossary, a list of formulas, and a list of postulates and theorems, making it useful as a reference. However, concepts discussed only in the problems are not included in these lists. There are answers to a few of the problems in the back of the text, but not enough of them to be useful if you want to check your answers systematically.
I recommend this book as a supplement rather than a text because it contains many intriguing problems but does not teach the reader how to write proofs. Those students who want to learn how to write proofs should consult the rigorous text Geometry by Edwin E. Moise and Floyd L. Downs, Jr.