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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.
Thoroughly Updated, Zill'S Advanced Engineering Mathematics, Third Edition Is A Compendium Of Many Mathematical Topics For Students Planning A Career In Engineering Or The Sciences. A Key Strength Of This Text Is Zill'S Emphasis On Differential Equations As Mathematical Models, Discussing The Constructs And Pitfalls Of Each. The Third Edition Is Comprehensive, Yet Flexible, To Meet The Unique Needs Of Various Course Offerings Ranging From Ordinary Differential Equations To Vector Calculus. Numerous New Projects Contributed By Esteemed Mathematicians Have Been Added. Key Features O The Entire Text Has Been Modernized To Prepare Engineers And Scientists With The Mathematical Skills Required To...
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!
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.