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出版商:
Springer
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出版日期:
2010-11-02
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售價:
$4,230
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貴賓價:
9.5 折
$4,018
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語言:
英文
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頁數:
289
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裝訂:
Hardcover - also called cloth, retail trade, or trade
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ISBN:
1441976825
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ISBN-13:
9781441976826
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相關分類:
線性代數 Linear-algebra
商品描述
In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. With forty percent new material, this second edition is significantly different from the first edition. Newly added topics include: - Dunford decomposition, - tensor and exterior calculus, polynomial identities, - regularity of eigenvalues for complex matrices, - functional calculus and the Dunford-Taylor formula, - numerical range, - Weyl's and von Neumann's inequalities, and - Jacobi method with random choice. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the Ecole Normale Supérieure de Lyon.
商品描述(中文翻譯)
在這本書中，Denis Serre 首先提供了一個清晰且簡潔的矩陣基本理論介紹。接著，他展示了矩陣在數學及其他科學和工程領域的許多有趣應用。這第二版包含了四成的新內容，與第一版有顯著不同。新增的主題包括：- Dunford 分解，- 張量和外微積分，多項式恆等式，- 複矩陣的特徵值正則性，- 函數微積分和 Dunford-Taylor 公式，- 數值範圍，- Weyl 和 von Neumann 不等式，以及 - 隨機選擇的 Jacobi 方法。這本書將代數、分析、複雜性理論和數值分析混合在一起。因此，這本書將為許多科學家（不僅僅是數學家）提供一個有用且可靠的參考資料。它的目標讀者是具有應用或理論目標的高年級本科生和研究生。這本書是基於作者在里昂高等師範學院（Ecole Normale Supérieure de Lyon）所授課程的內容。
作者簡介
Denis Serre is Professor of Mathematics at École Normale Supérieure de Lyon and a former member of the Institut Universitaire de France. He is a member of numerous editorial boards and the author of "Systems of Conservation Laws" (Cambridge University Press 2000). With S. Benzoni-Gavage, he is the co-author of "Multi-Dimensional Hyperbolic Partial Differential Equations. First Order Systems and Applications" (Oxford University Press 2007). With S. Friedlander, he has co-edited four volumes of a "Handbook of Mathematical Fluid Dynamics" (Elsevier 2002--2007). The first edition of the present book is a translation of the original French edition, "Les Matrices: Théorie et Pratique", published by Dunod (2001).
作者簡介(中文翻譯)
丹尼斯·塞爾（Denis Serre）是里昂高等師範學院（École Normale Supérieure de Lyon）的數學教授，並曾是法國大學研究所（Institut Universitaire de France）的成員。他是多個編輯委員會的成員，並著有《守恆律系統》（Systems of Conservation Laws，劍橋大學出版社 2000）。與S. Benzoni-Gavage合著的《多維雙曲偏微分方程：一階系統及其應用》（Multi-Dimensional Hyperbolic Partial Differential Equations. First Order Systems and Applications，牛津大學出版社 2007）。與S. Friedlander共同編輯了四卷《數學流體動力學手冊》（Handbook of Mathematical Fluid Dynamics，愛思唯爾 2002--2007）。本書的第一版是原法文版《矩陣：理論與實踐》（Les Matrices: Théorie et Pratique）的翻譯，該書由Dunod於2001年出版。
