Selection Tests in Algebra for Mathematical Olympiads
暫譯: 數學奧林匹克代數選拔測試

Mănescu-Avram, Corneliu

Selection Tests in Algebra for Mathematical Olympiads
  • 出版商: Springer
  • 出版日期: 2025-10-27
  • 售價: $2,750
  • 貴賓價: 9.5 折 $2,613
  • 語言: 英文
  • 頁數: 379
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3032010314
  • ISBN-13: 9783032010315
  • 相關分類: 離散數學 Discrete-mathematics

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商品描述

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.

商品描述(中文翻譯)

本書匯編了針對國際數學奧林匹亞（IMO）各國隊伍所提出的精心策劃的選拔測試。這部作品融合了作者的原創解答和改編，按時間順序組織，涵蓋了1968年至2024年的問題，提供了對這項數學競賽演變的獨特見解。

本書首先包含一個關鍵理論和範例的部分，作為快速參考指南。主要的不等式和函數方程式都被涵蓋，還包括數學歸納法和多項式的主題。接下來是問題本身，涵蓋方程式和方程組、不等式、函數方程式和不等式、數學歸納法以及多項式。一個精心製作的索引幫助讀者輕鬆導航各個主題。書中還提供了進一步閱讀和自學的參考資料。

除了作為有志學生和熱愛數學者的寶貴準備工具外，本書還補充了同一作者的《數論選拔測試：數學奧林匹亞》，該書可在Springer獲得。

作者簡介

Corneliu Mănescu-Avram is a graduate of the Faculty of Mathematics at the University of Bucharest, Romania. In 2010, he obtained the QTS (Qualified Teacher Status) certification. He is an active problem solver and contributor to numerous mathematical journals, including Mathematical Reflections, Crux Mathematicorum, Pi Mu Epsilon Journal, Pentagonal Kappe Mathematical Journal, Mathematical Excalibur, School Science and Mathematics, Mathematical Recreations (in Romanian), and Mathematical Review from Timișoara (in Romanian). Manescu-Avram has worked as a computer programmer and a high school teacher of mathematics, computer science, and astronomy. He has also authored 'Selection Tests in Number Theory for Mathematical Olympiads, ' published by Springer. Although retired, he remains actively engaged in mathematical pursuits.

作者簡介(中文翻譯)

Corneliu Mănescu-Avram 是羅馬尼亞布加勒斯特大學數學系的畢業生。2010年，他獲得了QTS（合格教師資格）認證。他是一位活躍的問題解決者，並為多本數學期刊貢獻文章，包括《Mathematical Reflections》、《Crux Mathematicorum》、《Pi Mu Epsilon Journal》、《Pentagonal Kappe Mathematical Journal》、《Mathematical Excalibur》、《School Science and Mathematics》、《Mathematical Recreations》（羅馬尼亞文）以及《Mathematical Review from Timișoara》（羅馬尼亞文）。Mănescu-Avram曾擔任計算機程式設計師及高中數學、計算機科學和天文學教師。他還著有《Selection Tests in Number Theory for Mathematical Olympiads》，由Springer出版。雖然已退休，但他仍積極參與數學相關的活動。

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