000			04072nam a2200445 a 4500
003			CUTN
005			20250527165825.0
008			101117s2010 si o 001 0 eng d
020			_z9789814293556
020			_z9789814293549
020			_z9789814293532
020			_z9814293555
020			_z9789814293532 (pbk) (set)
020			_z9814293539 (pbk) (set)
020			_z9789814293570 (e-book)
041			_aEnglish
082			_a510.76 _bJIA
100	1		_aJiagu, Xu
245	1	0	_aLecture notes on mathematical olympiad courses : _bfor junior section, volume 1 & 2 / _cXu Jiagu.
260			_aSingapore : _bWorld Scientific Publishing Co., _cc2010.
300			_axii, 178 p. _bILL.; _c23CM.
440			_aMathematical olympiad series _v6
490	1		_aMathematical Olympiad series, _x1793-8570 ; _vv. 6.
500			_aIncludes index.
505			_a1. Operations on rational numbers 2. Monomials and polynomials 3. Linear equations of single variable 4. System of simultaneous linear equations 5. Multiplication formulae 6. Some methods of factorization 7. Absolute value and its applications 8. Linear equations with absolute values 9. Sides and angles of a triangle 10. Pythagoras' theorem and its applications 11. Congruence of triangles 12. Applications of midpoint theorems 13. Similarity of triangles 14. Areas of triangles and applications of area 15. Divisions of polynomials 16. Quadratic Surd expressions and their operations 17. Compound quadratic Surd form [symbol] 18. Congruence of integers 19. Decimal representation of integers 20. Perfect square numbers 21. Pigeonhole principle 22. [symbol] and [symbol] 23. Diophantine equations (I) 24. Roots and discriminant of quadratic equation ax[symbol] + bx + c = 0 25. Relation between roots and coefficients of quadratic equations 26. Diophantine equations (II) 27. Linear inequality and system of linear inequalities 28. Quadratic inequalities and fractional inequalities 29. Inequalities with absolute values 30. Geometric inequalities _tLecture notes on mathematical olympiad courses; for junior section volume 1 _tLecture notes on mathematical olympiad courses; for junior section volume 2
506			_aAccess may be limited to ProQuest affiliated libraries.
520			_aOlympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications. Besides, appropriate number of test questions is available for reader's practice and testing purpose. Their detailed solutions are also conveniently provided. The examples are not very complicated so that readers can easily understand. There are many real competition questions included which students can use to verify their abilities. These test questions are from many countries, e.g. China, Russia, USA, Singapore, etc. In particular, the reader can find many questions from China, if he is interested in understanding mathematical Olympiad in China. This book serves as a useful textbook of mathematical Olympiad courses, or as a reference book for related teachers and researchers.
533			_aElectronic reproduction. Ann Arbor, MI : ProQuest, 2015.
538			_aMode of access: World Wide Web.
611	2	0	_aInternational Mathematical Olympiad.
650		0	_aMathematics
650		0	_aMathematics
650		0	_vProblems, exercises, etc.
650		0	_xCompetitions.
830		0	_aMathematical Olympiad series ; _vv. 6.
856	4	0	_uhttps://ebookcentral.proquest.com/lib/gla/detail.action?docID=1679395
856	4	0	_zConnect to resource
907			_a.b35481249
942			_2ddc _cBOOKS
999			_c44385 _d44385