03888nam 22008175 450 991103516290332120260302135434.09783032010322(electronic bk.)978303201031510.1007/978-3-032-01032-2(MiAaPQ)EBC32378491(Au-PeEL)EBL32378491(CKB)41801845100041(DE-He213)978-3-032-01032-2(EXLCZ)994180184510004120251027d2025 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSelection Tests in Algebra for Mathematical Olympiads /by Corneliu Mănescu-Avram1st ed. 2025.Cham :Springer Nature Switzerland :Imprint: Springer,2025.1 online resource (483 pages)Problem Books in Mathematics,2197-8506Print version: Mănescu-Avram, Corneliu Selection Tests in Algebra for Mathematical Olympiads Cham : Springer,c2025 9783032010315 Introduction -- Problems -- Solutions -- References -- Index.This 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. .Problem Books in Mathematics,2197-8506AlgebraDifference equationsFunctional equationsAlgebraic fieldsPolynomialsMathematicsStudy and teachingAlgebraDifference and Functional EquationsField Theory and PolynomialsMathematics EducationEquacions diferencialsthubCossos algebraicsthubEquacions funcionalsthubPolinomisthubÀlgebrathubEnsenyament de la matemàticathubLlibres electrònicsthubAlgebra.Difference equations.Functional equations.Algebraic fields.Polynomials.MathematicsStudy and teaching.Algebra.Difference and Functional Equations.Field Theory and Polynomials.Mathematics Education.Equacions diferencialsCossos algebraicsEquacions funcionalsPolinomisÀlgebraEnsenyament de la matemàtica512Mănescu-Avram Corneliu1761998MiAaPQMiAaPQMiAaPQ9911035162903321Selection Tests in Algebra for Mathematical Olympiads4450169UNINA