000			02994cam a22004457i 4500
003			CUTN
005			20240814164415.0
008			160226t20162016cc a 000 0 eng d
020			_a9789814704137
020			_a981470413X
020			_a9789814696487 (pbk.)
020			_a981469648X (pbk.)
041	1		_aeng
042			_alccopycat
082	0	4	_a516.4 _223 _bLEN
100	1		_aLeng, Gangsong,
100	1		_eauthor.
245	1	0	_aGeometric inequalities / _cGangsong Leng, Shanghai University, China ; translated by Yongming Liu, East China Normal University, China.
260			_aSingapore : _bEast China National University Press : World Scientific Publishing Co., Shanghai, China, Hackensack, NJ, _c2016.
300			_aviii, 136 pages : _billustrations ; _c24 cm.
490	1		_aMathematical Olympiad series ; _vvol. 12
505			_tCover Halftitle Title Page Copyright Contents Preface Chapter 1 The method of segment replacement for distance inequalities Chapter 2 Ptolemy’s inequality and its application Chapter 3 Inequality for the inscribed quadrilateral Chapter 4 The area inequality for special polygons Chapter 5 Linear geometric inequalities Chapter 6 Algebraic methods Chapter 7 Isoperimetric and extremal value problem Chapter 8 Embed inequality and inequality for moment of inertia Chapter 9 Locus problem of Tsintsifas’s inequality Chapter 10 Shum’s minimal circle problem Chapter 11 Inequalities for tetrahedron Answers and hints to selected exercises
520			_aIn China, lots of excellent maths students take an active interest in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results — they won the first place almost every year.The author is one of the coaches of China's IMO National Team, whose students have won many gold medals many times in IMO.This book is part of the Mathematical Olympiad Series which discusses several aspects related to maths contests, such as algebra, number theory, combinatorics, graph theory and geometry. The book elaborates on Geometric Inequality problems such as inequality for the inscribed quadrilateral, the area inequality for special polygons, linear geometric inequalities, etc.
650		0	_aGeometry, Algebraic
650		0	_aGeometry, Plane
650		0	_aInequalities (Mathematics)
650		7	_aGeometry, Plane.
650		7	_aInequalities (Mathematics)
650		0	_vProblems, exercises, etc.
650		0	_vProblems, exercises, etc.
650		0	_vProblems, exercises, etc.
650		7	_2fast _94
650		7	_2fast _94
700	1		_aLiu, Yongming,
700	1		_etranslator.
830		0	_aMathematical Olympiad series ; _vv. 12.
906			_a7 _bcbc _ccopycat _d2 _encip _f20 _gy-gencatlg
942			_2ddc _cBOOKS
999			_c43399 _d43399