Mathematics Research for the Beginning Student, Volume 1: Accessible Projects for Students Before Calculus
暫譯: 初學者數學研究,第一卷:微積分前的可接觸專案

Goldwyn, Eli E., Ganzell, Sandy, Wootton, Aaron

  • 出版商: Birkhauser Boston
  • 出版日期: 2022-11-25
  • 售價: $2,990
  • 貴賓價: 9.8$2,930
  • 語言: 英文
  • 頁數: 318
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031085590
  • ISBN-13: 9783031085598
  • 相關分類: 離散數學 Discrete-mathematics
  • 無法訂購

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
Mathematics Research for the Beginning Student, Volume 1 will appeal to undergraduate students at two- and four-year colleges who are interested in pursuing mathematics research projects. Faculty members interested in serving as advisors to these students will find ideas and guidance as well. This volume will also be of interest to advanced high school students interested in exploring mathematics research for the first time. A separate volume with research projects for students who have already studied calculus is also available.

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,但對於第一年和第二年、且在高中數學之外經驗有限的學生來說,仍然難以找到可接觸的研究主題。為了滿足這一需求,本書提供了初學者具體的研究項目及所需的工具來應對這些項目。大多數這些項目對於尚未學習微積分的學生來說是可行的,但對於已經掌握一些微積分的學生來說,這裡也有很多可以進行的研究。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。每章的開頭會註明建議的先修課程。涵蓋的一些主題包括:
- 圖上的遊戲
- 生物系統建模
- 馬賽克與虛擬結
- 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,這本書也提供了想法和指導。此外,這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。針對已經學習過微積分的學生的研究項目,還有單獨的卷冊可供選擇。

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.

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。

最後瀏覽商品 (20)