Free Ebook Euclidean Geometry in Mathematical Olympiads (Maa Problem)
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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. Proofs in Mathematics - Cut-the-Knot Proofs are to mathematics what spelling (or even calligraphy) is to poetry Mathematical works do consist of proofs just as poems do consist of characters Euclidean Geometry in Mathematical Olympiads 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 Community - Art of Problem Solving Hello everyone I'm a six grader from China and I'm really amazed by mathematics of course ;) My class is kind of speciallized for mathematics(but not always about What Is Trigonometry? - Cut-the-Knot What Is Trigonometry? We learn from The Words of Mathematics: trigonometry (noun) trigonometric (adjective): the first part of the word is from Greek trigon "triangle" Various Number Theorists' Home Pages/Departmental listings Various Number Theorists' Home Pages/Departmental listings Complete listing [ A B C D E F G H I J K L M] [ N O P Q R S T U V Homepage Mathematical Association of America MAA offers many easy ways for you to connect with other members of the mathematical community face-to-face or online Join our community and share your work with
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