Volumetric Discrete Geometry

Bezdek, Karoly, Langi, Zsolt

Volumetric Discrete Geometry
  • 出版商: CRC
  • 出版日期: 2023-01-21
  • 售價: $2,310
  • 貴賓價: 9.5 折 $2,195
  • 語言: 英文
  • 頁數: 306
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1032475641
  • ISBN-13: 9781032475646

    • 海外代購書籍(需單獨結帳)

商品描述

Volume of geometric objects plays an important role in applied and theoretical mathematics. This is particularly true in the relatively new branch of discrete geometry, where volume is often used to find new topics for research. Volumetric Discrete Geometry demonstrates the recent aspects of volume, introduces problems related to it, and presents methods to apply it to other geometric problems.

 

Part I of the text consists of survey chapters of selected topics on volume and is suitable for advanced undergraduate students. Part II has chapters of selected proofs of theorems stated in Part I and is oriented for graduate level students wishing to learn about the latest research on the topic. Chapters can be studied independently from each other.

  • Provides a list of 30 open problems to promote research
  • Features more than 60 research exercises
  • Ideally suited for researchers and students of combinatorics, geometry and discrete mathematics

商品描述(中文翻譯)

幾何物體的體積在應用和理論數學中扮演著重要的角色。在相對較新的離散幾何學中，這一點尤其明顯，因為體積常被用來尋找新的研究主題。《體積離散幾何學》展示了體積的最新方面，介紹了相關問題，並提供了應用於其他幾何問題的方法。

本書的第一部分是關於體積的選定主題的調查章節，適合高年級本科生閱讀。第二部分則包含了第一部分所述定理的選定證明，適合希望了解該主題最新研究的研究生級學生閱讀。各章節可獨立閱讀。

本書還提供了30個開放問題的列表，以促進研究，並包含60多個研究練習題。適合組合學、幾何學和離散數學的研究人員和學生閱讀。

作者簡介

Károly Bezdek is a Professor and Director - Centre for Computational & Discrete Geometry, Pure Mathematics at University of Calgary. He received his Ph.D. in mathematics at the ELTE University of Budapest. He holds a first-tier Canada chair, which is the highest level of research funding awarded by the government of Canada.

Zsolt Lángi is an associate professor at Budapest University of Technology, and a senior research fellow at the Morphodynamics Research Group of the Hungarian Academy of Sciences. He received his Ph.D. in mathematics at the ELTE University of Budapest, and also at the University of Calgary. He is particularly interested in geometric extremum problems, and equilibrium points of convex bodies.

作者簡介(中文翻譯)

Károly Bezdek是卡爾加里大學計算和離散幾何學中心的教授和主任。他在布達佩斯ELTE大學獲得數學博士學位。他擁有加拿大一級講座，這是加拿大政府授予的最高級別的研究資助。

Zsolt Lángi是布達佩斯科技大學的副教授，也是匈牙利科學院形態動力學研究小組的高級研究員。他在布達佩斯ELTE大學和卡爾加里大學都獲得了數學博士學位。他對幾何極值問題和凸體的平衡點特別感興趣。

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