1.

Record Nr.

UNINA9911035162903321

Autore

Mănescu-Avram Corneliu

Titolo

Selection Tests in Algebra for Mathematical Olympiads / / by Corneliu Mănescu-Avram

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025

ISBN

9783032010322

9783032010315

Edizione

[1st ed. 2025.]

Descrizione fisica

1 online resource (483 pages)

Collana

Problem Books in Mathematics, , 2197-8506

Disciplina

512

Soggetti

Algebra

Difference equations

Functional equations

Algebraic fields

Polynomials

Mathematics - Study and teaching

Difference and Functional Equations

Field Theory and Polynomials

Mathematics Education

Equacions diferencials

Cossos algebraics

Equacions funcionals

Polinomis

Àlgebra

Ensenyament de la matemàtica

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Introduction -- Problems -- Solutions -- References -- Index.

Sommario/riassunto

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. .