Linear Algebra: From the Beginning
暫譯: 線性代數:從頭開始
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 折 $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)
相關主題
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**
- **反映了電腦如何改變課程。** 擁有電腦進行數據運算開啟了多種解決幾乎所有簡單線性代數問題的方法。本書提供了對該主題基本概念及各種軟體包能力的更深入解釋,以幫助學生選擇最佳的問題解決方法。
- **謹慎引入抽象概念。** 前兩章(向量、矩陣與線性變換;線性系統的解集)旨在幫助學生從具體的代數思維過渡到抽象的代數思維,為他們學習如何以及何時使用更多樣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。
- **每章的概述部分** 開始於每一章,為學生提供清晰的章節範圍和相關性的認識,並將其與文本中的其他章節建立聯繫,使學生了解這些材料在整體課程中的位置。
**目錄**
1. 向量、矩陣與線性變換
2. 線性系統的解集
3. 線性變換的影像
4. 行列式
5. 特徵值問題
6. 更多關於特徵向量和特徵值
7. 抽象向量空間