Linear Algebra: Algorithms, Application, and Techniques, 3/e (Paperback)

Richard Bronson , Gabriel B. Costa , John T. Saccoman

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商品描述

<內容簡介>

Introduces deductive reasoning and helps the reader develop a facility with mathematical proofs
Provides a balanced approach to computation and theory by offering computational algorithms for finding eigenvalues and eigenvectors 
Offers excellent exercise sets, ranging from drill to theoretical/challeging along with useful and interesting applications not found in other introductory linear algebra texts

Editorial Reviews
"The quality of the exercises is better than that of Anton. Bronson's exercises seem more original and less trivial. While he does have routine drill problems his non-routine problems require the student to either extend the student's knowledge base or fill in a portion of a proof."--Renee Britt, Louisiana State University
"I appreciate the slow increase in the progression of difficulty with proofs... I regard the exposition as superior. Prof. Bronson's text is the best example I've ever seen of motivating definitions in linear algebra, right from the very first page... Bronson incorporates the application first, thus motivating the definition, going from concrete to abstract, instead of the reverse."--Michael Ecker, The Pennsylvania State University

 

<章節目錄>

1. MATRICES
2. VECTOR SPACES
3. LINEAR TRANSFORMATIONS
4. EIGENVALUES, EIGENVECTORS, AND DIFFERENTIAL EQUATIONS
5. APPLICAIONS OF EIGENVALUES
6. EUCLIDEAN INNER PRODUCT
APPENDIX A: JORDAN CANONICAL FORMS
APPENDIX B: MARKOV CHAINS
APPENDIX C: MORE ON SPANNING TREES OF GRAPHS
APPENDIX D: TECHNOLOGY
APPENDIX E: MATHEMATICAL INDUCTION
ANSWERS AND HINTS TO SELECTED PROBLEMS

 

商品描述(中文翻譯)

內容簡介:
- 介紹演繹推理並幫助讀者培養數學證明的能力
- 提供平衡的計算和理論方法,提供計算特徵值和特徵向量的算法
- 提供優質的練習題,從基礎練習到理論性/具挑戰性的題目,並包含其他入門線性代數教材中找不到的有用和有趣的應用

編輯評論:
- 「練習題的品質比Anton的更好。Bronson的練習題似乎更原創,不那麼簡單。儘管他有例行練習問題,但他的非例行問題要求學生擴展知識基礎或填寫證明的一部分。」- Louisiana State University的Renee Britt
- 「我欣賞證明的難度逐漸增加...我認為這本書的解釋是優秀的。Bronson教授的教材是我見過的最好的線性代數定義動機的例子,從第一頁開始... Bronson先介紹應用,從具體到抽象,而不是相反。」- The Pennsylvania State University的Michael Ecker

章節目錄:
1. 矩陣
2. 向量空間
3. 線性變換
4. 特徵值、特徵向量和微分方程
5. 特徵值的應用
6. 歐幾里得內積
附錄A:約旦標準型
附錄B:馬可夫鏈
附錄C:更多關於圖的生成樹
附錄D:技術
附錄E:數學歸納法
選擇性問題的答案和提示