Mathematics of Networks: Modulus Theory and Convex Optimization
暫譯: 網絡數學：模數理論與凸優化
Albin, Nathan, Poggi-Corradini, Pietro
- 出版商: CRC
- 出版日期: 2025-08-29
- 售價: $4,350
- 貴賓價: 9.5 折 $4,133
- 語言: 英文
- 頁數: 388
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 0367457075
- ISBN-13: 9780367457075
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相關分類:
數學、Data Science
海外代購書籍(需單獨結帳)
相關主題
商品描述
Mathematics of Networks: Modulus Theory and Convex Optimization explores the question: "What can be learned by adapting the theory of p-modulus (and related continuum analysis concepts) to discrete graphs?" This book navigates the rich landscape of p-modulus on graphs, demonstrating how this theory elegantly connects concepts from graph theory, probability, and convex optimization.
This book is ideal for anyone seeking a deeper understanding of the theoretical foundations of network analysis and applied graph theory. It serves as an excellent primary text or reference for graduate and advanced undergraduate courses across multiple disciplines, including mathematics, data science, and engineering, particularly those focusing on network analysis, applied graph theory, optimization, and related areas.
Features:
- Accessible to students with a solid foundation in multivariable calculus and linear algebra.
- Broad interdisciplinary appeal, relevant to mathematics, data science, and engineering curricula.
- Numerous engaging exercises.
商品描述(中文翻譯)
《網路數學：模數理論與凸優化》探討了這個問題：「透過將 p-模數（及相關的連續分析概念）應用於離散圖形，我們可以學到什麼？」本書深入探討了圖形上的 p-模數，展示了這一理論如何優雅地將圖論、機率和凸優化的概念聯繫起來。
本書非常適合任何希望深入了解網路分析和應用圖論理論基礎的人士。它是研究生和高年級本科課程的優秀主要教材或參考書，涵蓋數學、數據科學和工程等多個學科，特別是那些專注於網路分析、應用圖論、優化及相關領域的課程。
特點：
- 適合具有多變量微積分和線性代數堅實基礎的學生。
- 廣泛的跨學科吸引力，與數學、數據科學和工程課程相關。
- 許多引人入勝的練習題。
作者簡介
Nathan Albin received a BA in Mathematics from the University of Hawaii and Hilo in 2001. Following a short stint as a software engineer, he attended graduate school at the University of Utah and received a PhD in Mathematics in 2006. He was then awarded an NSF Mathematical Sciences Postdoctoral Research Fellowship, hence spent one year researching at the University of Duisburg-Essen, before moving to Pasadena, CA to complete his postdoctoral research at Caltech. He was hired as an Assistant Professor of Mathematics in 2011 and was promoted to Associate Professor in 2016. His primary research interests include Applied Mathematics, Network Theory, Optimization Theory, and Numerical Analysis.
Pietro Poggi-Corradini grew up in Milan, Italy, and in 1992 received a Bachelor in Mathematics from the University of Milan. He then pursued his studies at the University of Washington in Seattle (USA) and graduated in 1996 with a PhD Thesis in Complex Dynamics and Operator Theory under Professor Don Marshall. Thereafter he became Whyburn Instructor at the University of Virginia and in 1998 joined the faculty at Kansas State University. He has been Full Professor at Kansas State University since 2005. His interests currently span Network Theory, Complex Analysis, Probability, and Applied Mathematics.
作者簡介(中文翻譯)
Nathan Albin 於2001年獲得夏威夷大學希洛分校的數學學士學位。在短暫擔任軟體工程師後，他進入猶他大學攻讀研究生，並於2006年獲得數學博士學位。隨後，他獲得了美國國家科學基金會數學科學博士後研究獎學金，因此在杜伊斯堡-埃森大學進行了一年的研究，之後移居加州帕薩迪納，於加州理工學院完成他的博士後研究。他於2011年被聘為數學助理教授，並於2016年晉升為副教授。他的主要研究興趣包括應用數學、網路理論、優化理論和數值分析。
Pietro Poggi-Corradini 在意大利米蘭長大，並於1992年獲得米蘭大學的數學學士學位。隨後，他在美國西雅圖的華盛頓大學繼續深造，並於1996年在唐·馬歇爾教授的指導下，完成了有關複雜動力學和算子理論的博士論文。此後，他成為維吉尼亞大學的Whyburn講師，並於1998年加入堪薩斯州立大學的教職。自2005年以來，他一直擔任堪薩斯州立大學的正教授。他目前的研究興趣涵蓋網路理論、複分析、機率論和應用數學。
