Mathematics Research for the Beginning Student, Volume 2: Accessible Projects for Students After Calculus
暫譯: 初學者數學研究,第二卷:微積分後學生可接觸的專案
Goldwyn, Eli E., Ganzell, Sandy, Wootton, Aaron
- 出版商: Birkhauser Boston
- 出版日期: 2022-11-18
- 售價: $2,800
- 貴賓價: 9.8 折 $2,744
- 語言: 英文
- 頁數: 308
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031085639
- ISBN-13: 9783031085635
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相關分類:
微積分 Calculus
無法訂購
商品描述
Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students are still hard to find. To address this need, this volume provides beginning students who have already had some exposure to calculus with specific research projects and the tools required to tackle them. Chapters are self-contained, presenting projects students can pursue, along with essential background material and suggestions for further reading. In addition to calculus, some of the later chapters require prerequisites such as linear algebra and statistics. Suggested prerequisites are noted at the beginning of each chapter. Some topics covered include:
- lattice walks in the plane
- statistical modeling of survival data
- building blocks and geometry
- modeling of weather and climate change
- mathematics of risk and insurance
商品描述(中文翻譯)
近年來,針對本科生的數學研究機會顯著增加,但對於大一和大二學生來說,易於接觸的研究主題仍然難以找到。為了滿足這一需求,本書為已經接觸過微積分的初學者提供了具體的研究項目及所需的工具。各章節內容獨立,介紹學生可以追求的項目,並提供必要的背景資料和進一步閱讀的建議。除了微積分外,後面的某些章節還需要線性代數和統計學等先修知識。每章的開頭會註明建議的先修課程。涵蓋的一些主題包括:
- 平面上的格子行走
- 生存數據的統計建模
- 基本構件與幾何
- 天氣與氣候變化的建模
- 風險與保險的數學
《初學者的數學研究,第二卷》將吸引對數學研究項目感興趣的兩年制和四年制大學本科生。對於有意擔任這些學生顧問的教職員來說,本書也提供了想法和指導。此外,本書對於有興趣首次探索數學研究的高年級高中生也會有吸引力。另有一卷專為尚未學習微積分的學生提供研究項目。
作者簡介
Eli Goldwyn is Assistant Professor of Mathematics at the University of Portland. His research is focused on using mathematics to better understand and manage natural populations.
Sandy Ganzell is Professor of Mathematics at St. Mary's College of Maryland. His research covers knot theory, topology of 4-manifolds, and combinatorial game theory.
Aaron Wootton is Professor of Mathematics at the University of Portland. His research interests include complex algebraic geometry, group theory, and geometric group theory.
Sandy Ganzell is Professor of Mathematics at St. Mary's College of Maryland. His research covers knot theory, topology of 4-manifolds, and combinatorial game theory.
Aaron Wootton is Professor of Mathematics at the University of Portland. His research interests include complex algebraic geometry, group theory, and geometric group theory.
作者簡介(中文翻譯)
Eli Goldwyn 是波特蘭大學的數學助理教授。他的研究專注於利用數學更好地理解和管理自然族群。
Sandy Ganzell 是馬里蘭州聖瑪麗學院的數學教授。他的研究涵蓋了結理論、四維流形的拓撲學以及組合遊戲理論。
Aaron Wootton 是波特蘭大學的數學教授。他的研究興趣包括複代數幾何、群論和幾何群論。