More Monthly Problem Gems
暫譯: 更多每月問題寶石
Chen, Hongwei, Tauraso, Roberto
- 出版商: CRC
- 出版日期: 2025-11-20
- 售價: $2,180
- 貴賓價: 9.5 折 $2,071
- 語言: 英文
- 頁數: 311
- 裝訂: Quality Paper - also called trade paper
- ISBN: 1041003218
- ISBN-13: 9781041003212
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相關分類:
離散數學 Discrete-mathematics
海外代購書籍(需單獨結帳)
相關主題
商品描述
More Monthly Problem Gems is a sequel to Monthly Problem Gems (CRC Press, 2021). This book covers a broader range of math problems. In addition to analysis problems, problems from number theory, combinatorics, algebra, and geometry are included.
This book offers problems to promote creative techniques for problem-solving and undergraduate research. Each problem is selected for its natural charm, the connection with an authentic mathematical experience, originating from the ingenious work of professionals, and ready developments, all into well-shaped results of broader interest.
Each problem provides either a novel application of a familiar theorem or a lively discussion of multiple solutions. Special attention is paid to informal exploration of the essential assumptions, suggestive heuristic considerations, and roots of the motivations of the problem.
This book then presents a new type of problem-solving. It will challenge and stimulate math problem-solvers at varying degrees of proficiency. Since the selected problem gems contain sophisticated ideas and connect to important current research, this book is also geared toward graduate students in math and engineering.
Many of the problems in this book were originally offered in the American Mathematical Monthly.
商品描述(中文翻譯)
《更多每月問題寶石》是《每月問題寶石》（CRC Press, 2021）的續集。本書涵蓋了更廣泛的數學問題。除了分析問題外，還包括數論、組合學、代數和幾何的問題。
本書提供的問題旨在促進創造性解題技巧和本科生研究。每個問題都是因其自然魅力、與真實數學經驗的聯繫、源自專業人士的巧妙工作以及成熟的發展，最終形成更廣泛興趣的良好結果而被選中。
每個問題提供了熟悉定理的新應用或多種解法的生動討論。特別注意非正式探索基本假設、啟發性考量和問題動機的根源。
本書接著呈現了一種新型的解題方式。它將挑戰並激發不同程度的數學解題者。由於所選的問題寶石包含複雜的思想並與重要的當前研究相連，本書也適合數學和工程的研究生。
本書中的許多問題最初是在《美國數學月刊》上提供的。
作者簡介
Hongwei Chen received his Ph.D. from North Carolina State University in 1991. He is currently a professor of mathematics at Christopher Newport University. He has published more than 60 research papers in analysis and partial differential equations. He also authored Monthly Problem Gems and Classical Analysis: An Approach through Problems published by CRC Press and Excursions in Classical Analysis published by the Mathematical Association of America.
Roberto Tauraso holds a PhD in Mathematics from Scuola Normale Superiore (Pisa). He is currently a professor of mathematical analysis at Tor Vergata University of Rome. His research interests include complex analysis, number theory, and combinatorics. He has published over 60 research papers in various mathematical journals.
作者簡介(中文翻譯)
陳宏偉於1991年獲得北卡羅來納州立大學的博士學位。目前他是克里斯多福·紐波特大學的數學教授。他在分析學和偏微分方程方面發表了超過60篇研究論文。他還著有由CRC Press出版的每月問題寶石和經典分析：透過問題的方式，以及由美國數學協會出版的經典分析的探險。
羅伯托·陶拉索擁有比薩高等師範學校的數學博士學位。目前他是羅馬托爾維爾加大學的數學分析教授。他的研究興趣包括複分析、數論和組合學。他在各種數學期刊上發表了超過60篇研究論文。
