LEADER 03888nam 22008175 450 001 9911035162903321 005 20260302135434.0 010 $a9783032010322$b(electronic bk.) 010 $z9783032010315 024 7 $a10.1007/978-3-032-01032-2 035 $a(MiAaPQ)EBC32378491 035 $a(Au-PeEL)EBL32378491 035 $a(CKB)41801845100041 035 $a(DE-He213)978-3-032-01032-2 035 $a(EXLCZ)9941801845100041 100 $a20251027d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSelection Tests in Algebra for Mathematical Olympiads /$fby Corneliu M?nescu-Avram 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (483 pages) 225 1 $aProblem Books in Mathematics,$x2197-8506 311 08$aPrint version: M?nescu-Avram, Corneliu Selection Tests in Algebra for Mathematical Olympiads Cham : Springer,c2025 9783032010315 327 $aIntroduction -- Problems -- Solutions -- References -- Index. 330 $aThis book compiles thoughtfully curated selection tests proposed to IMO (International Mathematical Olympiad) teams across many countries. Offering a blend of original solutions and adaptations by the author, this work is chronologically organized, featuring problems from 1968 to 2024, and provides a unique insight into the evolution of this mathematical contest. The work starts with a section containing key theories and examples, serving as a quick reference guide. The main inequalities and functional equations are covered, along with topics on mathematical induction and polynomials. This is followed by the problems themselves, covering equations and systems of equations, inequalities, functional equations and inequalities, mathematical induction, and polynomials. A meticulously crafted index helps the reader navigate through the topics with ease. References are provided for further reading and self-study. Besides serving as an invaluable preparation tool for both aspiring students and those passionate about mathematics alike, this book also complements 'Selection Tests in Number Theory for Mathematical Olympiads,' from the same author, available at Springer. . 410 0$aProblem Books in Mathematics,$x2197-8506 606 $aAlgebra 606 $aDifference equations 606 $aFunctional equations 606 $aAlgebraic fields 606 $aPolynomials 606 $aMathematics$xStudy and teaching 606 $aAlgebra 606 $aDifference and Functional Equations 606 $aField Theory and Polynomials 606 $aMathematics Education 606 $aEquacions diferencials$2thub 606 $aCossos algebraics$2thub 606 $aEquacions funcionals$2thub 606 $aPolinomis$2thub 606 $aĀlgebra$2thub 606 $aEnsenyament de la matemātica$2thub 608 $aLlibres electrōnics$2thub 615 0$aAlgebra. 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aAlgebraic fields. 615 0$aPolynomials. 615 0$aMathematics$xStudy and teaching. 615 14$aAlgebra. 615 24$aDifference and Functional Equations. 615 24$aField Theory and Polynomials. 615 24$aMathematics Education. 615 7$aEquacions diferencials 615 7$aCossos algebraics 615 7$aEquacions funcionals 615 7$aPolinomis 615 7$aĀlgebra 615 7$aEnsenyament de la matemātica 676 $a512 700 $aM?nescu-Avram$b Corneliu$01761998 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9911035162903321 996 $aSelection Tests in Algebra for Mathematical Olympiads$94450169 997 $aUNINA