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Selection Tests in Algebra for Mathematical Olympiads / by Corneliu Mănescu-Avram.
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2025 English International Available online
View online- Format:
- Book
- Author/Creator:
- Mănescu-Avram, Corneliu.
- Series:
- Problem Books in Mathematics, 2197-8506
- Language:
- English
- Subjects (All):
- Algebra.
- Difference equations.
- Functional equations.
- Algebraic fields.
- Polynomials.
- Mathematics--Study and teaching.
- Mathematics.
- Difference and Functional Equations.
- Field Theory and Polynomials.
- Mathematics Education.
- Local Subjects:
- Algebra.
- Difference and Functional Equations.
- Field Theory and Polynomials.
- Mathematics Education.
- Physical Description:
- 1 online resource (483 pages)
- Edition:
- 1st ed. 2025.
- Place of Publication:
- Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
- Summary:
- 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. .
- Contents:
- Introduction
- Problems
- Solutions
- References
- Index.
- Notes:
- Description based on publisher supplied metadata and other sources.
- Other Format:
- Print version: Mănescu-Avram, Corneliu Selection Tests in Algebra for Mathematical Olympiads
- ISBN:
- 9783032010322
- OCLC:
- 1572209584
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