[PDF/ePUB] Euclidean Geometry in Mathematical Olympiads

Euclidean Geometry in Mathematical Olympiads (Problem Books) (Problem Books, 27) image

DOWNLOAD PDF

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.<br /><br />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 a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions.<br /><br />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.

✔ Author(s):
✔ Title: Euclidean Geometry in Mathematical Olympiads (Problem Books) (Problem Books, 27)
✔ Rating : 4.6 out of 5 base on (39 reviews)
✔ ISBN-10: 1470466201
✔ Language: English
✔ Format ebook: PDF, EPUB, Kindle, Audio, HTML and MOBI
✔ Device compatibles: Android, iOS, PC and Amazon Kindle

Readers' opinions about Euclidean Geometry in Mathematical Olympiads by Evan Chen

/
Molly Adams
Delve into a dystopian world where survival hinges on ingenuity and courage. The author's vivid descriptions and fast-paced narrative keep you on the edge of your seat. The protagonist's journey is filled with thrilling moments and unexpected twists. The world-building is detailed and immersive, creating a believable and haunting setting. It's a gripping tale that explores themes of power, resistance, and hope. Ideal for fans of dystopian fiction.
/
Poppy Anderson
Discover the magic of first love and self-discovery in this enchanting coming-of-age story. The author's lyrical prose and relatable characters create a heartwarming narrative. Each chapter explores the joys and challenges of growing up with sensitivity and insight. The emotional journey is both poignant and uplifting. It's a story that resonates with readers of all ages. Ideal for fans of young adult fiction.
/
Bets Leonard
Explore the impact of technology on society in this thought-provoking novel. The author's insightful writing and compelling characters create a narrative that challenges your perceptions. Each chapter delves into the complexities of modern life with depth and nuance. The plot's twists and turns keep you engaged throughout. It's a story that prompts deep reflection on the role of technology in our lives. Perfect for readers interested in contemporary issues.


The Secrets of the Federal Reserve — The London Connection, A Knife in the Heart (A Hank Fallon Western), State Legislatures Today: Politics under the Domes, Protection & Reversal Magick (Revised and Updated Edition): A Witch’s Defense Manual (Strategic Sorcery Series), DK Eyewitness Vienna (Travel Guide), Day Trading Chart Patterns : Price Action Patterns + Candlestick Patterns, Fairy Picnic – Usborne Sticker Dollies, A Concise History of Mexico (Cambridge Concise Histories), Counterintelligence Theory and Practice (Security and Professional Intelligence Education Series), How to Suffer Outside: A Beginner’s Guide to Hiking and Backpacking,