Matrix Analysis, 2/e (Paperback)
暫譯: 矩陣分析(第二版)

Roger A Horn

  • 出版商: Cambridge
  • 出版日期: 2012-10-22
  • 售價: $2,900
  • 貴賓價: 9.5$2,755
  • 語言: 英文
  • 頁數: 662
  • 裝訂: Paperback
  • ISBN: 0521548233
  • ISBN-13: 9780521548236
  • 海外代購書籍(需單獨結帳)

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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,也是研究的肥沃領域。本書的新版本是這本廣受好評的教材,展示了經典和近期矩陣分析的結果,以標準型作為統一主題,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徹底的修訂、更新和擴展。本書以有用概念和事實的擴展摘要開篇,並包含許多新的主題和特點,例如:
- 新增有關奇異值和CS分解的新章節
- 約旦標準型的新應用
- 有關Weyr標準型的新章節
- 擴展的逆問題和區塊矩陣的處理
- Von Neumann跡定理的核心角色
- 新附錄提供了一對厄米矩陣和對稱-反對稱矩陣的現代標準型列表
- 擴展的索引,包含超過3,500個條目以便於參考
- 超過1,100道問題和練習,許多附有提示,以加強理解並發展輔助主題,如有限維量子系統、複合矩陣和伴隨矩陣,以及Loewner橢圓體
- 新附錄提供了一系列解題提示。