Handbook of Linear Algebra, 2/e (Hardcover)
暫譯: 線性代數手冊，第二版 (精裝本)
Hogben, Leslie
- 出版商: CRC
- 出版日期: 2013-11-26
- 售價: $9,060
- 貴賓價: 9.5 折 $8,607
- 語言: 英文
- 頁數: 1904
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1466507284
- ISBN-13: 9781466507289
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相關分類:
線性代數 Linear-algebra
海外代購書籍(需單獨結帳)
相關主題
商品描述
With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition of this bestseller includes 20 new chapters.
New to the Second Edition
- Separate chapters on Schur complements, additional types of canonical forms, tensors, matrix polynomials, matrix equations, special types of matrices, generalized inverses, matrices over finite fields, invariant subspaces, representations of quivers, and spectral sets
- New chapters on combinatorial matrix theory topics, such as tournaments, the minimum rank problem, and spectral graph theory, as well as numerical linear algebra topics, including algorithms for structured matrix computations, stability of structured matrix computations, and nonlinear eigenvalue problems
- More chapters on applications of linear algebra, including epidemiology and quantum error correction
- New chapter on using the free and open source software system Sage for linear algebra
- Additional sections in the chapters on sign pattern matrices and applications to geometry
- Conjectures and open problems in most chapters on advanced topics
Highly praised as a valuable resource for anyone who uses linear algebra, the first edition covered virtually all aspects of linear algebra and its applications. This edition continues to encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, and applications of linear algebra to various disciplines while also covering up-to-date software packages for linear algebra computations.
商品描述(中文翻譯)
《線性代數手冊（第二版）》包含大量新材料，全面涵蓋線性代數的概念、應用及計算軟體包，並以易於使用的格式呈現。它將您從該主題的基本方面引導至當前研究的前沿。除了全書的修訂和更新外，這本暢銷書的第二版還新增了20個章節。
第二版的新內容
- 獨立章節介紹 Schur 互補、額外類型的標準型、張量、矩陣多項式、矩陣方程、特殊類型的矩陣、廣義逆、有限域上的矩陣、不變子空間、箭圖的表示及譜集
- 新增章節涵蓋組合矩陣理論主題，如錦標賽、最小秩問題及譜圖理論，還有數值線性代數主題，包括結構矩陣計算的演算法、結構矩陣計算的穩定性及非線性特徵值問題
- 更多關於線性代數應用的章節，包括流行病學及量子錯誤更正
- 新增章節介紹如何使用免費及開源軟體系統 Sage 進行線性代數計算
- 在有關符號模式矩陣及其在幾何中的應用的章節中增加了額外部分
- 在大多數高級主題的章節中提出了猜想和未解決的問題
第一版被高度評價為任何使用線性代數的人的寶貴資源，幾乎涵蓋了線性代數及其應用的所有方面。本版繼續涵蓋線性代數的基本原理、組合及數值線性代數，以及線性代數在各個學科中的應用，同時也涵蓋了最新的線性代數計算軟體包。
作者簡介
Leslie Hogben is the Dio Lewis Holl Chair in Applied Mathematics and Professor of Mathematics at Iowa State University (ISU), and the Associate Director for Diversity of the American Institute of Mathematics. She received her B.A. from Swarthmore College in 1974 and her Ph. D. in 1978 from Yale University under the direction of Nathan Jacobson. Although originally working in nonassociative algebras, in the mid-1990s, she changed her focus to linear algebra.
Dr. Hogben is the author of more than 60 research papers and particularly enjoys introducing students to mathematical research. She has or is advising three postdoctoral associates, 11 doctoral students, 12 master's students, and 30 undergraduate researchers. She is the co-director of the NSF-sponsored ISU Math REU and developed an early graduate research course for mathematics and applied mathematics graduate students at ISU.
Dr. Hogben is a frequent co-organizer of meetings, workshops, and special sessions/mini-symposia. She is the Secretary/Treasurer of the International Linear Algebra Society and an associate editor of the journals Linear Algebra and its Applications and Electronic Journal of Linear Algebra.
作者簡介(中文翻譯)
萊斯利·霍根是愛荷華州立大學（ISU）應用數學的迪奧·路易斯·霍爾講座教授及數學教授，並擔任美國數學研究所的多樣性副主任。她於1974年在斯沃斯莫爾學院獲得學士學位，並於1978年在耶魯大學在內森·雅各布森的指導下獲得博士學位。雖然最初專注於非聯合代數，但在1990年代中期，她將研究重心轉向線性代數。
霍根博士已發表超過60篇研究論文，並特別喜歡向學生介紹數學研究。她目前或曾指導三名博士後研究員、11名博士生、12名碩士生和30名本科研究者。她是由國家科學基金會（NSF）贊助的ISU數學研究經驗（Math REU）的共同主任，並為ISU的數學及應用數學研究生開發了一門早期研究課程。
霍根博士經常共同組織會議、研討會和特別會議/迷你研討會。她是國際線性代數學會的秘書/財務主管，並擔任期刊《線性代數及其應用》（Linear Algebra and its Applications）和《電子線性代數期刊》（Electronic Journal of Linear Algebra）的副編輯。
