Matrix Analysis, 2/e (Paperback)

Roger A Horn

  • 出版商: Cambridge
  • 出版日期: 2012-10-22
  • 售價: $1,920
  • 貴賓價: 9.8$1,882
  • 語言: 英文
  • 頁數: 662
  • 裝訂: Paperback
  • ISBN: 0521548233
  • ISBN-13: 9780521548236
  • 立即出貨(限量) (庫存=1)

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商品描述

Linear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This new edition of the acclaimed text presents results of both classic and recent matrix analysis using canonical forms as a unifying theme, and demonstrates their importance in a variety of applications. The authors have thoroughly revised, updated, and expanded on the first edition. The book opens with an extended summary of useful concepts and facts and includes numerous new topics and features, such as: - New sections on the singular value and CS decompositions - New applications of the Jordan canonical form - A new section on the Weyr canonical form - Expanded treatments of inverse problems and of block matrices - A central role for the Von Neumann trace theorem - A new appendix with a modern list of canonical forms for a pair of Hermitian matrices and for a symmetric-skew symmetric pair - Expanded index with more than 3,500 entries for easy reference - More than 1,100 problems and exercises, many with hints, to reinforce understanding and develop auxiliary themes such as finite-dimensional quantum systems, the compound and adjugate matrices, and the Loewner ellipsoid - A new appendix provides a collection of problem-solving hints.

商品描述(中文翻譯)

線性代數和矩陣理論是數學和物理科學中的基本工具,也是豐富的研究領域。這本廣受好評的新版教材以規範形式作為統一主題,介紹了經典和最新的矩陣分析結果,並展示了它們在各種應用中的重要性。作者對第一版進行了全面修訂、更新和擴充。書籍以一個延伸的有用概念和事實摘要開始,並包含許多新的主題和特點,例如: - 新增奇異值和CS分解的章節 - 約旦規範形式的新應用 - Weyr規範形式的新章節 - 對逆問題和區塊矩陣的擴展處理 - Von Neumann追蹤定理的核心作用 - 新的附錄列出了一對共軛矩陣和對稱-反對稱矩陣的現代規範形式 - 擴展的索引,包含超過3,500個條目,方便查閱 - 超過1,100個問題和練習,其中許多有提示,以加深理解並發展輔助主題,如有限維量子系統、復合矩陣和伴隨矩陣、Loewner橢球 - 新的附錄提供了一系列解題提示。