Geometric Linear Algebra
暫譯: 幾何線性代數

I-Hsiung Lin

Geometric Linear Algebra
  • 出版商: World Scientific Pub
  • 出版日期: 2005-03-22
  • 售價: $1,150
  • 貴賓價: 9.8 折 $1,127
  • 語言: 英文
  • 頁數: 856
  • 裝訂: Paperback
  • ISBN: 9812561323
  • ISBN-13: 9789812561329
  • 相關分類: 線性代數 Linear-algebra

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商品描述

Description:

This accessible book for beginners uses intuitive geometric concepts to create abstract algebraic theory with a special emphasis on geometric characterizations. The book applies known results to describe various geometries and their invariants, and presents problems concerned with linear algebra, such as in real and complex analysis, differential equations, differentiable manifolds, differential geometry, Markov chains and transformation groups. The clear and inductive approach makes this book unique among existing books on linear algebra both in presentation and in content.

 

Table of Contents:

  • The Affine and Linear Structures of ℝ1, ℝ2 and ℝ3:
  • The One-Dimensional Real Vector Space ℝ (or ℝ1)
  • The Two-Dimensional Real Vector Space ℝ2
  • The Three-Dimensional Real Vector Space ℝ3

 

商品描述(中文翻譯)

**描述：**
這本適合初學者的書籍使用直觀的幾何概念來創建抽象代數理論，特別強調幾何特徵。該書應用已知結果來描述各種幾何及其不變量，並提出與線性代數相關的問題，例如在實數和複數分析、微分方程、可微流形、微分幾何、馬可夫鏈和變換群等方面。清晰且歸納的方式使這本書在現有的線性代數書籍中無論在呈現還是內容上都獨樹一幟。

**目錄：**
- **仿射和線性結構的 ℝ¹, ℝ² 和 ℝ³：**
- 一維實向量空間 ℝ（或 ℝ¹）
- 二維實向量空間 ℝ²
- 三維實向量空間 ℝ³

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