LEADER 06010nam 22008173u 450 001 9910456127203321 005 20210107014257.0 010 $a1-282-76205-2 010 $a9786612762055 010 $a981-4293-57-1 035 $a(CKB)2490000000001754 035 $a(EBL)1679395 035 $a(OCoLC)879023563 035 $a(SSID)ssj0001680239 035 $a(PQKBManifestationID)16496211 035 $a(PQKBTitleCode)TC0001680239 035 $a(PQKBWorkID)15028454 035 $a(PQKB)10790266 035 $a(SSID)ssj0000438910 035 $a(PQKBManifestationID)12163028 035 $a(PQKBTitleCode)TC0000438910 035 $a(PQKBWorkID)10460818 035 $a(PQKB)22455650 035 $a(WSP)00000700 035 $a(MiAaPQ)EBC1679395 035 $a(EXLCZ)992490000000001754 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 2 210 $aRiver Edge $cWorld Scientific Publishing Company$d2009 215 $a1 online resource (191 p.) 225 1 $aMathematical Olympiad Series ;$vv.6 300 $aDescription based upon print version of record. 311 $a981-4293-55-5 327 $aContents; Preface; Acknowledgments; Abbreviations and Notations; Abbreviations; Notations for Numbers, Sets and Logic Relations; 16 Quadratic Surd Expressions and Their Operations; Definitions; Basic Operational Rules on a; Rationalization of Denominators; Examples; Testing Questions (A); Testing Questions (B); 17 Compound Quadratic Surd Formpa ; Basic Methods for Simplifying Compound Surd Forms; Examples; Testing Questions (A); Testing Questions (B); 18 Congruence of Integers; Basic Properties of Congruence; The Units Digit of Powers of Positive Integers an 327 $aThe Last Two digits of some positive integersExamples; Testing Questions (A); Testing Questions (B); 19 Decimal Representation of Integers; Decimal Expansion of Whole Numbers with Same Digits or Periodically Changing Digits; Examples; Testing Questions (A); Testing Questions (B); 20 Perfect Square Numbers; Basic Properties of Perfect Square Numbers; Examples; Testing Questions (A); Testing Questions (B); 21 Pigeonhole Principle; Basic Forms of Pigeonhole Principle; Examples; Testing Questions (A); Testing Questions (B); 22 x and {x}; Some Basic Properties of x and {x}; Examples 327 $aTesting Questions (A)Testing Questions (B); 23 Diophantine Equations (I); Definitions; Examples; Testing Questions (A); Testing Questions (B); 24 Roots and Discriminant of Quadratic Equation ax2 + bx + c = 0; Basic Methods for Finding Roots of ax2 + bx + c = 0; Relation between Discriminant and Existence of Real Roots; Examples; Testing Questions (A); Testing Questions (B); 25 Relation between Roots and Coefficients of Quadratic Equations; Examples; Testing Questions (A); Testing Questions (B); 26 Diophantine Equations (II); Basic Methods for Solving Quadratic Equations on Z; Examples 327 $aTesting Questions (A)Testing Questions (B); 27 Linear Inequality and System of Linear Inequalities; Basic Properties of Inequalities; Steps for Solving a Linear Inequality; Examples; Testing Questions (A); Testing Questions (B); 28 Quadratic Inequalities and Fractional Inequalities; Basic Methods for Solving Quadratic Inequalities; Examples; Testing Questions (A); Testing Questions (B); 29 Inequalities with Absolute Values; Basic Methods for Removing Absolute Value Signs; Examples; Testing Questions (A); Testing Questions (B); 30 Geometric Inequalities; Examples; Testing Questions (A) 327 $aTesting Questions (B)Solutions to Testing Questions; Solutions to Testing Questions 16; Testing Questions (16-A); Testing Questions (16-B); Solutions to Testing Questions 17; Testing Questions (17-A); Testing Questions (17-B); Solutions to Testing Questions 18; Testing Questions (18-A); Testing Questions (18-B); Solutions to Testing Questions 19; Testing Questions (19-A); Testing Questions (19-B); Solutions to Testing Questions 20; Testing Questions (20-A); Testing Questions (20-B); Solutions to Testing Questions 21; Testing Questions (21-A); Testing Questions (21-B) 327 $aSolutions to Testing Questions 22 330 $a Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications. Besides, appropriate num 410 0$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 $a9910456127203321 996 $aLecture notes on mathematical Olympiad courses$9264280 997 $aUNINA