購物比價找書網找車網
FindBook  
 有 1 項符合

LINEAR ALGEBRA WITH APPLICATIONS 4/E (S-PIE)

的圖書
LINEAR ALGEBRA WITH APPLICATIONS 4/E (S-PIE) LINEAR ALGEBRA WITH APPLICATIONS 4/E (S-PIE)

作者:BRETSCHER 
出版社:全華圖書
出版日期:2009-01-01
語言:英文   規格:平裝 / 504頁 / 普通級/ 單色印刷 / 初版
圖書選購
型式價格供應商所屬目錄
 
$ 600
博客來 博客來
數學
圖書介紹 - 資料來源:博客來   評分:
圖書名稱:LINEAR ALGEBRA WITH APPLICATIONS 4/E (S-PIE)

內容簡介

  Offering the most geometric presentation available, Linear Algebra with Applications, Fourth Edition emphasizes linear transformations as a unifying theme. This elegant textbook combines a user-friendly presentation with straightforward, lucid language to clarify and organize the many techniques and applications of linear algebra. Exercises and examples make up the heart of the text, with abstract exposition kept to a minimum. Extensive problem sets keep students involved in the material, while genuine applications for a broad range of sciences prepares them for the methods and models of contemporary scientists. In addition, the wealth and variety of exercise sets enable instructors to design a course to best suit the goals and needs of their students. This revision reflects careful review and appropriate changes to the wording of each idea, while preserving the content structure of the previous edition.

本書特色

  NEW - Many new exercises of all difficulty levels have been added, from the elementary to the challenging. For example, there are twenty-four new exercises on conic and cubic curve fitting that lead up to a discussion of the Cramer-Euler Paradox on fitting a cubic through nine points. NEW - The section on matrix products now follows discussion of the inverse of a matrix, making the presentation more sensible from an algebraic point of view. The determinant is defined in terms of patterns, a transparent way to deal with permutations; Laplace expansion and Gaussian elimination are presented as alternative approaches. This presentation strikes a balance between earlier editions of this text. NEW - Hundreds of improvements include hints on especially difficult problems and revised notations and explanations on many theorems.

  1 .  Linear transformations are introduced early in the text to make the discussion of matrix operations more meaningful and easier to navigate.

  2 .  Visualization and geometrical interpretation are emphasized extensively throughout the text.

  3 .  An abundance of problems, exercises, and applications help students assess their understanding and master the material.

  4 .  Abstract concepts are introduced gradually throughout the text. Major ideas are carefully developed at various levels of generality before the student is introduced to abstract vector spaces.

  5 .  Discrete and continuous dynamical systems are used as a motivation for eigenvectors and as a unifying theme thereafter.

  6 .  Fifty to sixty True/False questions conclude every chapter, testing conceptual understanding and encouraging students to read the text.

  7 .  Historical problems from ancient Chinese, Indian, Arabic, and early European sources add diversity to the selection of exercises.

  8 .  Rotations, reflections, projections, and shears are used throughout to illustrate new ideas.

  9 .  Multiple perspectives on the kernel of a matrix are presented, with a stronger emphasis on the relations among the columns.

  10 .  Commutative diagrams enhance students'' conceptual understanding of the matrix of a linear transformation. These diagrams enable students to visualize the relations between linear transformations.

  11 .  A more conceptual approach to the QR factorization is presented, in terms of a change-of-basis.

  12 .  The determinant is introduced in terms of Laplace expansion rather than permutations, with Gaussian elimination and permutations still presented as alternative methods.

 

目錄

1. Linear Equations
1.1 Introduction to Linear Systems
1.2 Matrices, Vectors, and Gauss-Jordan Elimination
1.3 On the Solutions of Linear Systems; Matrix Algebra

2. Linear Transformations
2.1 Introduction to Linear Transformations and Their Inverses
2.2 Linear Transformations in Geometry
2.3 Matrix Products
2.4 The Inverse of a Linear Transformation

3. Subspaces of R" and Their Dimensions
3.1 Image and Kernel of a Linear Transformation
3.2 Subspace of R"; Bases and Linear Independence
3.3 The Dimension of a Subspace of R"
3.4 Coordinates

4. Linear Spaces
4.1 Introduction to Linear Spaces
4.2 Linear Transformations and Isomorphisms
4.3 The Matrix of a Linear Transformation

5. Orthogonality and Least Squares
5.1 Orthogonal Projections and Orthonormal Bases
5.2 Gram-Schmidt Process and QR Factorization
5.3 Orthogonal Transformations and Orthogonal Matrices
5.4 Least Squares and Data Fitting
5.5 Inner Product Spaces

6. Determinants
6.1 Introduction to Determinants
6.2 Properties of the Determinant
6.3 Geometrical Interpretations of the Determinant; Cramer's Rule

7. Eigenvalues and Eigenvectors
7.1 Dynamical Systems and Eigenvectors: An Introductory Example
7.2 Finding the Eigenvalues of a Matrix
7.3 Finding the Eigenvectors of a Matrix
7.4 Diagonalization
7.5 Complex Eigenvalues
7.6 Stability

8. Symmetric Matrices and Quadratic Forms
8.1 Symmetric Matrices
8.2 Quadratic Forms
8.3 Singular Values

9. Linear Differential Equations
9.1 An Introduction to Continuous Dynamical Systems
9.2 The Complex Case: Euler's Formula
9.3 Linear Differential Operators and Linear Differential Equations

Appendix A. Vectors
Answers to Odd-numbered Exercises
Subject Index
Name Index

 

詳細資料

  • ISBN:9780135128664
  • 叢書系列: 大專一般
  • 規格:平裝 / 504頁 / 普通級 / 單色印刷 / 初版
  • 出版地:台灣
贊助商廣告
 
金石堂 - 今日66折
大人機時代的因應對策:比維他命C還重要的LIFE-C
作者:李啟龍
出版社:聚光文創
出版日期:2019-06-25
66折: $ 317 
金石堂 - 今日66折
孽子舞台劇二○二○全紀錄
66折: $ 1980 
金石堂 - 今日66折
靈界的訊息有聲書第4輯
作者:許添盛
出版社:賽斯文化
出版日期:2013-11-22
66折: $ 581 
金石堂 - 今日66折
晉升高手一定要懂的量價分析
作者:張凱文
出版社:羿勝國際出版社
出版日期:2019-04-23
66折: $ 165 
 
金石堂 - 暢銷排行榜
雙子與老師(2)
作者:かきのたね
出版社:台灣東販股份有限公司
出版日期:2025-02-06
$ 111 
博客來 - 暢銷排行榜
長期買進:財金教授周冠男的42堂自制力投資課
作者:周冠男
出版社:天下文化
出版日期:2024-07-31
$ 355 
金石堂 - 暢銷排行榜
家庭聯絡簿(空白直條版)
作者:世一文化編輯群
出版社:世一文化事業股份有限公司
出版日期:2019-01-16
$ 28 
博客來 - 暢銷排行榜
失控的焦慮世代:手機餵養的世代,如何面對心理疾病的瘟疫
作者:強納森.海德特 (Jonathan Haidt)
出版社:網路與書出版
出版日期:2024-11-29
$ 379 
 
Taaze 讀冊生活 - 新書排行榜
解密中國:習近平統治下的共產黨與解放軍
作者:財團法人中央廣播電臺
出版社:財團法人中央廣播電臺
出版日期:2025-02-01
$ 360 
博客來 - 新書排行榜
薔薇與香檳 1 【特裝版】
$ 699 
Taaze 讀冊生活 - 新書排行榜
天青色等煙雨
作者:王鴻豔
出版社:今古傳奇(滾石移動)
出版日期:2025-01-17
$ 150 
Taaze 讀冊生活 - 新書排行榜
租一間孤獨
作者:墨無聲清
出版社:今古傳奇(滾石移動)
出版日期:2025-01-17
$ 180 
 

©2025 FindBook.com.tw -  購物比價  找書網  找車網  服務條款  隱私權政策