Scalar, Vector, and Matrix Mathematics: Theory, Facts, and Formulas (Paperback)

Dennis S. Bernstein

  • 出版商: Princeton University
  • 出版日期: 2018-02-27
  • 售價: $1,960
  • 貴賓價: 9.8$1,921
  • 語言: 英文
  • 頁數: 1600
  • 裝訂: Paperback
  • ISBN: 0691176531
  • ISBN-13: 9780691176536
  • 相關分類: JVM 語言
  • 立即出貨 (庫存=1)

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商品描述

The essential reference book on matrices―now fully updated and expanded, with new material on scalar and vector mathematics

Since its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject.

Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more.

Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index.

  • Fully updated and expanded with new material on scalar and vector mathematics
  • Covers the latest results in matrix theory
  • Provides a list of symbols and a summary of conventions for easy and precise use
  • Includes an extensive bibliography with back-referencing plus an author index

 

商品描述(中文翻譯)

《純量、向量和矩陣數學》是一本關於矩陣的基本參考書籍,現已全面更新和擴充,並新增了關於純量和向量數學的新內容。

自首次出版以來,這本書已成為工程、科學和應用數學各個領域中使用矩陣的用戶的必備參考資料。在這本修訂和擴充版中,Dennis Bernstein將廣泛的純量和向量數學材料與矩陣理論的最新成果相結合,使本書成為目前最全面、最新且易於使用的矩陣參考書。

每一章節都描述了相關的理論背景,然後是專門的結果。數百個恆等式、不等式和事實都以清晰而嚴謹的方式陳述,並附有交叉引用、文獻引用和有用的評論。從集合、邏輯、關係和函數的基礎開始,這本獨特的彙編涵蓋了矩陣理論的所有主要主題,如變換和分解、多項式矩陣、廣義逆和範數。其他主題還包括圖形、群、凸函數、多項式和線性系統。該書還包含了大量關於純量不等式、幾何、組合數學、級數、積分等方面的新材料。

《純量、向量和矩陣數學》現在比以往任何時候都更全面,包括詳細的符號列表、符號和慣例摘要、廣泛的參考文獻和作者索引以及詳盡的主題索引。

- 全面更新和擴充,新增了關於純量和向量數學的新內容
- 涵蓋了矩陣理論的最新成果
- 提供了符號列表和慣例摘要,方便準確使用
- 包括了廣泛的參考文獻和作者索引