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"Written by well-known mathematical problem solvers, Modern Geometry features up-to-date and applicable coverage of the wide spectrum of modern geometry and aids readers in learning the art of logical reasoning, modeling, and proof. With its reader-friendly approach, this undergraduate text features: self-contained coverage of modern geometry, provides a large selection of solved exercises to aid in reader comprehension, contains material that can be tailored for a one-, two-, or three-semester sequence, and provides a wide range of fully worked exercises throughout"--
List of contents
PART I EUCLIDEAN GEOMETRY 1 Congruency 3 2 Concurrency 11 3 Similarity 17 4 Theorems of Ceva and Menelaus 27 5 Area 31 6 Miscellaneous Topics 43 PART II TRANSFORMATIONAL GEOMETRY 7 Euclidean Transformations 57 8 The Algebra of Isometries 69 9 The Product of Direct Isometries 81 10 Symmetry and Groups 97 11 Homotheties 107 12 Tessellations 117 PART III INVERSIVE AND PROJECTIVE GEOMETRIES 13 Introduction to Inversive Geometry 127 14 Reciprocation and the Extended Plane 137 15 Cross Ratios 145 16 Introduction to Projective Geometry 153
About the author
I. E. LEONARD, PHD, 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.
J. E. LEWIS, PHD, 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.
A. C. F. LIU, PHD, is Professor in the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada. He has authored over thirty journal articles.
G. W. TOKARSKY, MSC, 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.
Summary
Solutions Manual to accompany
