Linear Algebra : An Interactive Approach (with CD-ROM)

個数：
  • ポイントキャンペーン

Linear Algebra : An Interactive Approach (with CD-ROM)

  • ウェブストア価格 ¥27,984（本体¥25,440）
  • Brooks/Cole（2003/02発売）
  • 外貨定価 UK£ 110.00
  • ゴールデンウィーク ポイント2倍キャンペーン対象商品(5/6まで)
  • ポイント 508pt
  • 在庫がございません。海外の書籍取次会社を通じて出版社等からお取り寄せいたします。
    通常6～9週間ほどで発送の見込みですが、商品によってはさらに時間がかかることもございます。
    【重要ご説明事項】
    1. 納期遅延や、ご入手不能となる場合がございます。
    2. 複数冊ご注文の場合、分割発送となる場合がございます。
    3. 美品のご指定は承りかねます。
  • 【入荷遅延について】
    世界情勢の影響により、海外からお取り寄せとなる洋書・洋古書の入荷が、表示している標準的な納期よりも遅延する場合がございます。
    おそれいりますが、あらかじめご了承くださいますようお願い申し上げます。
  • ◆画像の表紙や帯等は実物とは異なる場合があります。
  • ◆ウェブストアでの洋書販売価格は、弊社店舗等での販売価格とは異なります。
    また、洋書販売価格は、ご注文確定時点での日本円価格となります。
    ご注文確定後に、同じ洋書の販売価格が変動しても、それは反映されません。
  • ページ数 480 p.
  • 言語 ENG
  • 商品コード 9780534409159
  • DDC分類 512.5

Full Description

Utilizing technology to enrich the learning experience, S.K. Jain and A.D. Gunawardena provide an exciting introduction to linear algebra. The accompanying CD-ROM contains the entire contents of the book in a searchable format. The CD-ROM also includes MATLAB drills, concept demonstrations, solutions, projects, and chapter tests. In addition to the CD-ROM, the Web site contains additional problems, projects, and applications, as well as support for MAPLE and Mathematica. In the book, the authors introduce matrices as a handy tool for solving systems of linear equations and then demonstrate that their utility goes far beyond this initial application. Students discover that hardly any area of modern mathematics exists where matrices do not have some application. Offering flexibility in the approach, this book can be used in a traditional course without technology or in a course using technology.

Contents

1. LINEAR SYSTEMS AND MATRICES.
Linear Systems of Equations. Elementary Operations and Gauss Elimination Method. Homogeneous Linear Systems. Introduction to Matrices and the Matrix of a Linear System. Elementary Row Operations on a Matrix. Proofs of Facts. Chapter Review Questions and Project.
2. ALGEBRA OF MATRICES.
Scalar Multiplication and Addition of Matrices. Matrix Multiplication and its Properties. Transpose. Proofs of Facts. Chapter Review Questions and Projects.
3. SUBSPACES.
Linear Combination of Vectors. Vector Subspaces. Linear Dependence, Linear Independence and Basis. Proofs of Facts. Chapter Review Questions and Project.
4. RANK.
Elementary Operations and Rank. Null Space and Nullity of a Matrix. Elementary Matrices. Proofs of Facts. Chapter Review Questions and Project.
5. INVERSE, RANK FACTORIZATION, AND LU-DECOMPOSITION.
Inverse of a Matrix and Its Properties. Further Properties of Inverses. Full-Rank Factorization. LU-Decomposition of a Matrix. Proofs of Facts. Chapter Review Questions and Projects.
6. DETERMINANTS.
Determinant. Properties of the Determinant. Cofactors and Inverse of a Matrix. Cramer''s Rule. Chapter Review Questions and Projects.
7. EIGENVALUE PROBLEMS.
Eigenvalues and Eigenvectors. Characteristic Polynomial. Calculating Eigenvalues and Eigenvectors (Another Approach) and the Cayley-Hamilton. Applications of the Cayley-Hamilton Theorem/ Properties of Eigenvalues, Diagonalizability, and Triangularizability. Proofs and Facts. Chapter Review Questions and Project.
8. INNER PRODUCT SPACES.
Gram-Schmidt Orthogonalization Process. Diagonalization of Symmetric Matrices. Application of the Spectral Theorem. Least-Squares Solution. Generalized Inverse and Least-Squares Solution. Proofs and Facts. Chapter Review Questions and Projects.
9. VECTOR SPACES AND LINEAR MAPPINGS.
Vector Spaces. Linear Dependence and Linear Independence. Linear Mappings. Some Properties of Linear Mappings:Image and Kernel. Linear Mappings and Matrices. Chapter Review Questions and Project.
10. DETERMINANTS (REVISITED).
Permutations. Determinants. Cofactor Expansion. Adjoint of a Matrix. Cramer''s Rule. Product Theorem of Determinants.
Answers and Hints to Selected Exercises.
Drill Solutions Using Matlab.
Some Basic Matlab Operations.
Index.