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This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry. The analytic treatment builds and expands upon students' familiarity with elementary plane analytic geometry and provides a well-motivated approach to projective geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence of an infinite number of geometries, each Euclidean in nature but characterized by a different set of distance- and angle-measurement formulas. Outstanding pedagogical features include worked-through examples, introductions and summaries for each topic, and numerous theorems, proofs, and exercises that reinforce each chapter's precepts. Two helpful indexes conclude the text, along with answers to all odd-numbered exercises. In addition to its value to undergraduate students of mathematics, computer science, and secondary mathematics education, this volume provides an excellent reference for computer science professionals.
Explains geometric theories and shows many examples.
Contains over one hundred problems in which reasoning is required to reach the answer, ranging from easy to relatively difficult. Includes solutions.
The popular Bloomers Island! gardening kits and online world blossom in a playful, beautifully illustrated new book aimed at getting kids to love everything about nature. Join the Bloomers on a whimsical adventure as they attend a magical boarding school on Bloomers Island. As Pete Moss, Rosey Posey, Big Red, Violet, and their friends prepare for the Great Garden Party, they learn about gardening, healthy eating, and caring for the environment. The treehouse school is held by the arms of Mr. Banyan, a tree about to celebrate his 200th birthday. His birthday party is filled with fun games that teach the curious students that gardening is not at all boring or hard--that it's actually really fun!
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The book that helped free an innocent man who had spent twenty-seven years on death row. In January 1982, an elderly white widow was found brutally murdered in the small town of Greenwood, South Carolina. Police immediately arrested Edward Lee Elmore, a semiliterate, mentally retarded black man with no previous felony record. His only connection to the victim was having cleaned her gutters and windows, but barely ninety days after the victim’s body was found, he was tried, convicted, and sentenced to death. Elmore had been on death row for eleven years when a young attorney named Diana Holt first learned of his case. After attending the University of Texas School of Law, Holt was eager to ...
This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.