Linear Algebra: From the Beginning

Eric A. Carlen, Maria C. Carvalho

  • 出版商: W.H. Freeman and Com
  • 出版日期: 2006-12-15
  • 售價: $1,180
  • 貴賓價: 9.8$1,156
  • 語言: 英文
  • 頁數: 542
  • 裝訂: Paperback
  • ISBN: 0716748940
  • ISBN-13: 9780716748946
  • 相關分類: 線性代數 Linear-algebra
  • 下單後立即進貨 (約5~7天)

商品描述

Description

  • Reflects the ways computers have changed the course. Having computers to do the number-crunching opens up a number of ways to solve all but the simplest linear algebra problems.  This text provides more thorough explanations of the subject’s fundamental ideas and of the capabilities of various software packages, to help students choose the best way to solve a problem.

    Careful introduction of abstraction. The first two chapters (Vectors, Matrices, and Linear Transformations; and The Solution Set of a Linear System) are designed to help students make the transition from concrete to abstract algebraic thinking, preparing them for learning how and when to use a greater variety of problem-solving methods.

    Full proofs with every theorem help students achieve a basic level of “mathematical maturity” realm at this introductory stage.  Concise yet accurate proofs, as well as interesting examples, accompany every theorem.

    Overview sections begin each chapter and provide students with a clear sense of the scope and relevance of the chapter, making connections to other chapters in the text so students see where the material fits in the overall course.
Table of Contents
1.Vectors, Matrices, and Linear Transformations
2. The Solution Set of a Linear System
3. The Image of Linear Transformation
4. Determinants
5. The Eigenvalue Problem
6. More About Eigenvectors and Eigenvalues
7. Abstract Vector Spaces

商品描述(中文翻譯)

描述

反映了電腦改變了課程的方式。讓電腦進行數字運算開啟了解決除了最簡單的線性代數問題之外的多種方法。本書提供了更詳細的主題基本概念解釋以及各種軟體套件的功能,以幫助學生選擇解決問題的最佳方法。

引入抽象概念的細心介紹。前兩章(向量、矩陣和線性變換;以及線性系統的解集)旨在幫助學生從具體到抽象的代數思維轉變,為他們學習更多以及何時使用更多種類的問題解決方法做好準備。

每個定理都有完整的證明,幫助學生在這個入門階段達到基本的“數學成熟度”。簡潔而準確的證明以及有趣的例子伴隨著每個定理。

每章開始時都有概述部分,為學生提供對該章節的範圍和相關性的清晰感受,並將其與本課程的其他章節聯繫起來,讓學生看到材料在整個課程中的位置。

目錄

1. 向量、矩陣和線性變換
2. 線性系統的解集
3. 線性變換的圖像
4. 行列式
5. 特徵值問題
6. 更多關於特徵向量和特徵值的內容
7. 抽象向量空間