{"product_id":"advanced-olympiad-inequalities-algebraic-geometric-olympiad-inequalities-paperback","title":"Advanced Olympiad Inequalities: Algebraic \u0026 Geometric Olympiad Inequalities - Paperback","description":"\u003cp\u003eby \u003cb\u003eAlijadallah Belabess\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis book contains a unique collection of \u003cb\u003enew inequalities\u003c\/b\u003e that were specifically imagined by the author to challenge the boundaries of curiosity and imagination. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e The inequalities are extremely beautiful and sharp, and the book covers various topics from \u003cb\u003e3 and 4 variables inequalities, symmetric and non-symmetric inequalities to geometric inequalities.\u003c\/b\u003e \u003cp\u003e\u003c\/p\u003e Many of the exercises are presented with detailed solutions covering a variety of must-know \u003cb\u003eold and new techniques\u003c\/b\u003e in tackling \u003cb\u003eOlympiad problems.\u003c\/b\u003e \u003cbr\u003eThe book contains also a variety of unsolved exercises which were left to the reader as additional challenges. Most importantly, the book deals with the daunting topic of asymmetric inequalities where most classical approaches fail. \u003cbr\u003eThe book has been organised in five chapters. \u003cul\u003e \u003cli\u003eIn the first one, we presented a collection of classical algebraic and geometric inequalities such as \u003cb\u003eCauchy-Schwarz\u003c\/b\u003e, \u003cb\u003eCheybeshev's\u003c\/b\u003e, \u003cb\u003e Newton's\u003c\/b\u003e, \u003cb\u003eBernoulli's\u003c\/b\u003e, \u003cb\u003eEuler's\u003c\/b\u003e, \u003cb\u003eWalker's\u003c\/b\u003e inequalities among others. These are the classical inequalities that any student should master if he is aiming for a medal at Mathematical Olympiad competitions.\u003c\/li\u003e \u003cli\u003eThe second and third chapters deal respectively with \u003cb\u003e3 and 4 variables inequalities\u003c\/b\u003e covering both \u003cb\u003esymmetric and asymmetric inequalities\u003c\/b\u003e. \u003c\/li\u003e \u003cli\u003eThe fourth chapter is about \u003cb\u003eGeometric inequalities\u003c\/b\u003e involving triangle sides, medians, altitudes, internal bisectors, areas, perimeters, orthic triangles, angles, circumradius, inradius...\u003c\/li\u003e \u003cli\u003eThe last chapter contains \u003cb\u003edetailed solutions\u003c\/b\u003e to the proposed problems with more than one solution for some of the inequalities.\u003c\/li\u003e\n\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 242\u003c\/div\u003e\n\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.51 x 9.61 x 6.69 IN\u003c\/div\u003e\n\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 14, 2019\u003c\/div\u003e\n\u003c\/ul\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":47418801750194,"sku":"9781794193925","price":33.75,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0770\/3891\/1666\/files\/68ef6a8d4aa03805a8a3c12f309ea9c8.webp?v=1778459947","url":"https:\/\/box.dadyminds.org\/products\/advanced-olympiad-inequalities-algebraic-geometric-olympiad-inequalities-paperback","provider":"DADYMINDS BOX","version":"1.0","type":"link"}