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Selection tests in algebra for mathematical olympiads

Record Type:	Electronic resources : Monograph/item
Title/Author:	Selection tests in algebra for mathematical olympiadsby Corneliu Mănescu-Avram.
Author:	Mănescu-Avram, Corneliu.
Published:	Cham :Springer Nature Switzerland :2025.
Description:	xiii, 379 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Algebra
Online resource:	https://doi.org/10.1007/978-3-032-01032-2
ISBN:	9783032010322$q(electronic bk.)

Selection tests in algebra for mathematical olympiads
Mănescu-Avram, Corneliu.

Selection tests in algebra for mathematical olympiads[electronic resource] /by Corneliu Mănescu-Avram. - Cham :Springer Nature Switzerland :2025. - xiii, 379 p. :ill., digital ;24 cm. - Problem books in mathematics,2197-8506. - Problem books in mathematics..

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.

ISBN: 9783032010322$q(electronic bk.)

Standard No.: 10.1007/978-3-032-01032-2doiSubjects--Topical Terms:

254086
Algebra

LC Class. No.: QA157

Dewey Class. No.: 512

Selection tests in algebra for mathematical olympiads
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505 0 $a Introduction -- Problems -- Solutions -- References -- Index.
520 $a 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.
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