LEADER 06024nam 22008173u 450 001 9910455565403321 005 20210107014255.0 010 $a1-282-76204-4 010 $a9786612762048 010 $a981-4293-56-3 035 $a(CKB)2490000000001753 035 $a(EBL)1679394 035 $a(OCoLC)880826779 035 $a(SSID)ssj0001680238 035 $a(PQKBManifestationID)16496212 035 $a(PQKBTitleCode)TC0001680238 035 $a(PQKBWorkID)15028426 035 $a(PQKB)10152822 035 $a(SSID)ssj0000438909 035 $a(PQKBManifestationID)12229758 035 $a(PQKBTitleCode)TC0000438909 035 $a(PQKBWorkID)10459439 035 $a(PQKB)22766452 035 $a(WSP)00000699 035 $a(MiAaPQ)EBC1679394 035 $a(EXLCZ)992490000000001753 100 $a20160509d2009|||| u|| | 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLecture Notes on Mathematical Olympiad Courses$b[electronic resource] $eFor Junior Section (In 2 Volumes) - Volume 1 210 $aRiver Edge $cWorld Scientific Publishing Company$d2009 215 $a1 online resource (183 p.) 225 1 $aMathematical Olympiad Series ;$vv.6 300 $aDescription based upon print version of record. 311 $a981-4293-54-7 327 $aContents; Preface; Acknowledgments; Abbreviations and Notations; Abbreviations; Notations for Numbers, Sets and Logic Relations; 1 Operations on Rational Numbers; 1. Basic Rules on Addition, Subtraction, Multiplication, Division; 2. Rule for Removing Brackets; 3. Ingenious Ways for Calculating; Examples; Testing Questions (A); Testing Questions (B); 2 Monomials and Polynomials; Definitions; Operations on Polynomials; Examples; Testing Questions (A); Testing Questions (B); 3 Linear Equations of Single Variable; Usual Steps for Solving Equations; Examples; Testing Questions (A) 327 $aTesting Questions (B)4 System of Simultaneous Linear Equations; Examples; Testing Questions (A); Testing Questions (B); 5 Multiplication Formulae; Basic Multiplication Formulae; Generalization of Formulae; Derived Basic Formulae; Examples; Testing Questions (A); Testing Questions (B); 6 Some Methods of Factorization; Basic Methods of Factorization; Examples; Testing Questions (A); Testing Questions (B); 7 Absolute Value and Its Applications; Basic Properties of Absolute Value; Examples; Testing Questions (A); Testing Questions (B); 8 Linear Equations with Absolute Values; Examples 327 $aTesting Questions (A)Testing Questions (B); 9 Sides and Angles of a Triangle; Basic Knowledge; Examples; Testing Questions (A); Testing Questions (B); 10 Pythagoras' Theorem and Its Applications; Examples; Testing Questions (A); Testing Questions (B); 11 Congruence of Triangles; Basic Criteria for Congruence of Two Triangles; Examples; Testing Questions (A); Testing Questions (B); 12 Applications of Midpoint Theorems; Examples; Testing Questions (A); Testing Questions (B); 13 Similarity of Triangles; Criteria for Similarity of Two Triangles; Basic Properties of Two Similar Triangles 327 $aImportant Proportional Properties of SegmentsExamples; Testing Questions (A); Testing Questions (B); 14 Areas of Triangles and Applications of Area; Basic formulae for area of a triangle; Comparison of areas of triangles; Examples; Testing Questions (A); Testing Questions (B); 15 Divisions of Polynomials; Examples; Testing Questions (A); Testing Questions (B); Solutions to Testing Questions; Solutions to Testing Questions 1; Testing Questions (1-A); Testing Questions (1-B); Solutions to Testing Questions 2; Testing Questions (2-A); Testing Questions (2-B); Solutions to Testing Questions 3 327 $aTesting Questions (3-A)Testing Questions (3-B); Solutions to Test questions 4; Testing Questions (4-A); Testing Questions (4-B); Solutions to Testing Questions 5; Testing Question (5-A); Testing Questions (5-B); Solutions to Testing Questions (6); Testing Questions (6-A); Testing Questions (6-B); Solutions to Test Questions 7; Testing Questions (7-A); Testing Questions (7-B); Solutions to Testing Questions 8; Testing Question (8-A); Testing Questions (8-B); Solutions to Testing Questions 9; Testing Questions (9-A); Testing Questions (9-B); Solutions to Testing Questions 10 327 $aTesting Question (10-A) 330 $a Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications. Besides, appropriate num 410 0$aMathematical Olympiad Series 606 $aElectronic books. -- local 606 $aInternational Mathematical Olympiad 606 $aMathematics -- Competitions 606 $aMathematics -- Problems, exercises, etc 606 $aMathematics - General$2HILCC 606 $aMathematics$2HILCC 606 $aPhysical Sciences & Mathematics$2HILCC 608 $aElectronic books. 615 4$aElectronic books. -- local. 615 4$aInternational Mathematical Olympiad. 615 4$aMathematics -- Competitions. 615 4$aMathematics -- Problems, exercises, etc. 615 7$aMathematics - General 615 7$aMathematics 615 7$aPhysical Sciences & Mathematics 676 $a510 700 $aXu$b Jiagu$0478403 712 02$aebrary, Inc 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910455565403321 996 $aLecture notes on mathematical Olympiad courses$9264280 997 $aUNINA