{"product_id":"classical-geometry-isbn-9781118679197","title":"Classical Geometry","description":"\u003cp\u003e\u003cb\u003eFeatures the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAccessible and reader-friendly, \u003ci\u003eClassical Geometry: Euclidean, Transformational, Inversive, and Projective \u003c\/i\u003eintroduces readers to a valuable discipline that is crucial to understanding bothspatial relationships and logical reasoning. Focusing on the development of geometric intuitionwhile avoiding the axiomatic method, a problem solving approach is encouraged throughout.\u003c\/p\u003e \u003cp\u003eThe book is strategically divided into three sections: Part One focuses on Euclidean geometry, which provides the foundation for the rest of the material covered throughout; Part Two discusses Euclidean transformations of the plane, as well as groups and their use in studying transformations; and Part Three covers inversive and projective geometry as natural extensions of Euclidean geometry. In addition to featuring real-world applications throughout, \u003ci\u003eClassical Geometry: Euclidean, Transformational, Inversive, and Projective \u003c\/i\u003eincludes:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eMultiple entertaining and elegant geometry problems at the end of each section for every level of study\u003c\/li\u003e \u003cli\u003eFully worked examples with exercises to facilitate comprehension and retention\u003c\/li\u003e \u003cli\u003eUnique topical coverage, such as the theorems of Ceva and Menalaus and their applications\u003c\/li\u003e \u003cli\u003eAn approach that prepares readers for the art of logical reasoning, modeling, and proofs\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eThe book is an excellent textbook for courses in introductory geometry, elementary geometry, modern geometry, and history of mathematics at the undergraduate level for mathematics majors, as well as for engineering and secondary education majors. The book is also ideal for anyone who would like to learn the various applications of elementary geometry.\u003c\/p\u003e \u003cp\u003ePreface v\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart I Euclidean Geometry\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1 Congruency 3\u003c\/p\u003e \u003cp\u003e2 Concurrency 41\u003c\/p\u003e \u003cp\u003e3 Similarity 59\u003c\/p\u003e \u003cp\u003e4 Theorems of Ceva and Menelaus 95\u003c\/p\u003e \u003cp\u003e5 Area 133\u003c\/p\u003e \u003cp\u003e6 Miscellaneous Topics 159\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II Transformational Geometry\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7 The Euclidean Transformations or Isometries 207\u003c\/p\u003e \u003cp\u003e8 The Algebra of Isometries 235\u003c\/p\u003e \u003cp\u003e9 The Product of Direct Isometries 255\u003c\/p\u003e \u003cp\u003e10 Symmetry and Groups 271\u003c\/p\u003e \u003cp\u003e11 Homotheties 289\u003c\/p\u003e \u003cp\u003e12 Tessellations 313\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart III Inversive And Projective Geometries\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13 Introduction to Inversive Geometry 339\u003c\/p\u003e \u003cp\u003e14 Reciprocation and the Extended Plane 375\u003c\/p\u003e \u003cp\u003e15 Cross Ratios 411\u003c\/p\u003e \u003cp\u003e16 Introduction to Projective Geometry 435\u003c\/p\u003e \u003cp\u003eBibliography 466\u003c\/p\u003e \u003cp\u003eIndex 471\u003c\/p\u003e  \u003cp\u003e“The book is an extremely valuable compendium of elementary constructions of Euclidean geometry. The text, especially the proofs, is clearly structured and move forward in simple steps, and thus are at the one hand very suitable for a beginner in geometry and at the other hand exemplary for a teacher of geometry.”  (\u003ci\u003eZentralblatt MATH\u003c\/i\u003e, 1 October 2014)\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e  \u003cp\u003e\u003cb\u003eI. E. LEONARD, P\u003csmall\u003eH\u003c\/small\u003eD,\u003c\/b\u003e is Lecturer in the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada. The author of over fifteen journal articles, his areas of research interest include real analysis and discrete mathematics.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eJ. E. LEWIS, P\u003csmall\u003eH\u003c\/small\u003eD,\u003c\/b\u003e is Professor Emeritus in the Department of Mathematical Sciences at the University of Alberta, Canada. He was the recipient of the Faculty of Science Award for Excellence in Teaching in 2004.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eA. C. F. LIU, P\u003csmall\u003eH\u003c\/small\u003eD,\u003c\/b\u003e is Professor in the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada. He has authored over thirty journal articles.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eG. W. TOKARSKY, MS\u003csmall\u003eC\u003c\/small\u003e,\u003c\/b\u003e is Faculty Lecturer in the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada. His areas of research interest include polygonal billiards and symbolic logic.\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eFeatures the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAccessible and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understanding both spatial relationships and logical reasoning. Focusing on the development of geometric intuition while avoiding the axiomatic method, a problem-solving approach is encouraged throughout.\u003c\/p\u003e \u003cp\u003eThe book is strategically divided into three sections: \u003cb\u003ePart One\u003c\/b\u003e focuses on Euclidean geometry, which provides the foundation for the rest of the material covered throughout; \u003cb\u003ePart Two\u003c\/b\u003e discusses Euclidean transformations of the plane, as well as groups and their use in studying transformations; and \u003cb\u003ePart Three\u003c\/b\u003e covers inversive and projective geometry as natural extensions of Euclidean geometry. In addition to featuring real-world applications throughout, Classical Geometry: Euclidean, Transformational, Inversive, and Projective includes:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eMultiple entertaining and elegant geometry problems at the end of each section for every level of study\u003c\/li\u003e \u003cli\u003eFully worked examples with exercises to facilitate comprehension and retention\u003c\/li\u003e \u003cli\u003eUnique topical coverage, such as the theorems of Ceva and Menelaus and their applications\u003c\/li\u003e \u003cli\u003eAn approach that prepares readers for the art of logical reasoning, modeling, and proofs\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eThe book is an excellent textbook for courses in introductory geometry, elementary geometry, modern geometry, and history of mathematics at the undergraduate level for mathematics majors, as well as for engineering and secondary education majors. The book is also ideal for anyone who would like to learn the various applications of elementary geometry.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47988926087397,"sku":"NP9781118679197","price":88.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781118679197.jpg?v=1761782078","url":"https:\/\/k12savings.com\/es\/products\/classical-geometry-isbn-9781118679197","provider":"K12savings","version":"1.0","type":"link"}