Spectra and Pseudospectra

Spectra and Pseudospectra pdf epub mobi txt 電子書 下載2025

出版者:Princeton Univ Pr
作者:Trefethen, Lloyd N./ Embree, Mark
出品人:
頁數:626
译者:
出版時間:2005-7
價格:$ 96.05
裝幀:HRD
isbn號碼:9780691119465
叢書系列:
圖書標籤:
  • 數值分析
  • 矩陣理論
  • 譜分析
  • 僞譜
  • 綫性代數
  • 算子理論
  • 數值綫性代數
  • 科學計算
  • 數學物理
  • 應用數學
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具體描述

Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on eigenvalues fails. For example, eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow, Markov chains, ecological models, and matrix iterations. That's where this book comes in. This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences.

著者簡介

Lloyd N. Trefethen is Professor of Numerical Analysis and Head of the Numerical Analysis Group at the University of Oxford. Mark Embree is Assistant Professor of Computational and Applied Mathematics at Rice University.

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