Euclidean Geometry in Mathematical Olympiads (MAA Problem Book Series)

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Description
Euclidean Geometry in Mathematical Olympiads (MAA Problem Book Series)

This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains as selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads, or for teachers looking for a text for an honor class.
Specifications
Country USA
Manufacturer American Mathematical Society
Binding Paperback
ItemPartNumber 0883858398
UnitCount 1
Format International Edition
EANs 9780883858394
ReleaseDate 0000-00-00

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Country	USA
Manufacturer	American Mathematical Society
Binding	Paperback
ItemPartNumber	0883858398
UnitCount	1
Format	International Edition
EANs	9780883858394
ReleaseDate	0000-00-00