Linear Algebra: Core Topics for the First Course

Atanasiu, Dragu, Mikusinski, Piotr

  • 出版商: World Scientific Pub
  • 出版日期: 2020-03-12
  • 售價: $2,350
  • 貴賓價: 9.5$2,233
  • 語言: 英文
  • 頁數: 464
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 9811215960
  • ISBN-13: 9789811215964
  • 相關分類: 線性代數 Linear-algebra
  • 立即出貨 (庫存 < 3)

商品描述

The book is an introduction to linear algebra intended as a textbook for the first course in linear algebra. In the first six chapters we present the core topics: matrices, the vector space ℝn, orthogonality in ℝn, determinants, eigenvalues and eigenvectors, and linear transformations. The book gives students an opportunity to better understand linear algebra in the next three chapters: Jordan forms by examples, singular value decomposition, and quadratic forms and positive definite matrices.In the first nine chapters everything is formulated in terms of ℝn. This makes the ideas of linear algebra easier to understand. The general vector spaces are introduced in Chapter 10. The last chapter presents problems solved with a computer algebra system. At the end of the book we have results or solutions for odd numbered exercises.

商品描述(中文翻譯)

這本書是一本線性代數入門教材,旨在作為線性代數第一門課的教科書。在前六章中,我們介紹了核心主題:矩陣、向量空間ℝⁿ、ℝⁿ中的正交性、行列式、特徵值和特徵向量,以及線性變換。在接下來的三章中,本書為學生提供了更好地理解線性代數的機會:通過示例介紹約旦形式、奇異值分解以及二次形式和正定矩陣。在前九章中,所有內容都是以ℝⁿ的形式表述的,這使得線性代數的概念更容易理解。第十章介紹了一般的向量空間。最後一章介紹了使用計算代數系統解決問題的方法。在本書的末尾,我們提供了奇數編號練習的結果或解答。