Mathematics Research for the Beginning Student, Volume 1: Accessible Projects for Students Before Calculus
Goldwyn, Eli E., Ganzell, Sandy, Wootton, Aaron
- 出版商: Birkhauser
- 出版日期: 2023-11-25
- 售價: $2,430
- 貴賓價: 9.5 折 $2,309
- 語言: 英文
- 頁數: 318
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031085620
- ISBN-13: 9783031085628
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相關分類:
微積分 Calculus
海外代購書籍(需單獨結帳)
相關主題
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 with minimal experience beyond high school mathematics are still hard to find. To address this need, this volume provides beginning students with specific research projects and the tools required to tackle them. Most of these projects are accessible to students who have not yet taken Calculus, but students who know some Calculus will find plenty to do here as well. Chapters are self-contained, presenting projects students can pursue, along with essential background material and suggestions for further reading. Suggested prerequisites are noted at the beginning of each chapter. Some topics covered include:
- games on graphs
- modeling of biological systems
- mosaics and virtual knots
- mathematics for sustainable humanity
- mathematical epidemiology
商品描述(中文翻譯)
近年來,大學本科生的數學研究機會有了顯著增長,但對於只有高中數學經驗的一、二年級學生來說,能夠接觸到的研究主題仍然很難找到。為了滿足這一需求,本書提供了初學者專門的研究項目和所需工具。這些項目大多適合還未學過微積分的學生,但對於已經學過一些微積分的學生來說,這裡也有很多可以做的事情。每個章節都是獨立的,提供學生可以追求的項目,以及必要的背景材料和進一步閱讀的建議。每個章節開始時都會注明建議的先修知識。一些涵蓋的主題包括:圖上的遊戲、生物系統建模、馬賽克和虛擬結、可持續人類的數學、數學流行病學。《初學者的數學研究,第一卷》將吸引兩年制和四年制大學的本科生,他們有興趣進行數學研究項目。對於有興趣擔任這些學生指導教師的教職員工,本書也提供了想法和指導。這本書還對於對於首次探索數學研究的高中生也很有吸引力。另外還有一本針對已經學過微積分的學生的研究項目的分冊可供選擇。
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。他的研究專注於使用數學來更好地理解和管理自然族群。
Sandy Ganzell 是馬里蘭聖瑪麗學院的數學教授。他的研究涵蓋結繩理論、4-流形的拓撲以及組合遊戲理論。
Aaron Wootton 是波特蘭大學的數學教授。他的研究興趣包括複雜代數幾何、群論和幾何群論。