Matrices and Matroids for Systems Analysis (Paperback)
暫譯: 系統分析的矩陣與矩陣體
Kazuo Murota
- 出版商: Springer
- 出版日期: 2009-11-18
- 售價: $6,390
- 貴賓價: 9.5 折 $6,071
- 語言: 英文
- 頁數: 496
- 裝訂: Paperback
- ISBN: 3642039936
- ISBN-13: 9783642039935
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相關主題
商品描述
A matroid is an abstract mathematical structure that captures combinatorial properties of matrices. This book offers a unique introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis.
This book serves also as a comprehensive presentation of the theory and application of mixed matrices, developed primarily by the present author in the 1990's. A mixed matrix is a convenient mathematical tool for systems analysis, compatible with the physical observation that "fixed constants" and "system parameters" are to be distinguished in the description of engineering systems.
This book will be extremely useful to graduate students and researchers in engineering, mathematics and computer science.
From the reviews:
"…The book has been prepared very carefully, contains a lot of interesting results and is highly recommended for graduate and postgraduate students."
András Recski, Mathematical Reviews Clippings 2000m:93006
商品描述(中文翻譯)
一個 matroid 是一種抽象的數學結構，用來捕捉矩陣的組合性質。本書提供了對 matroid 理論的獨特介紹，強調來自矩陣理論的動機以及在系統分析中的應用。
本書同時也全面呈現了混合矩陣的理論與應用，這一理論主要由本書作者在1990年代發展而來。混合矩陣是一種方便的數學工具，用於系統分析，與物理觀察相容，即在工程系統的描述中，應區分「固定常數」和「系統參數」。
本書對於工程、數學和計算機科學的研究生和研究人員將非常有用。
來自評價的摘錄：
「……本書準備得非常仔細，包含了許多有趣的結果，強烈推薦給研究生和研究所學生。」
— András Recski, 數學評論摘錄 2000m:93006
