跳至内容
Introduction to linear algebra 線上預覽
關閉線上預覽
正在查...

Introduction to linear algebra

作者: Gilbert Strang
出版商: Wellesley, MA : Wellesley-Cambridge Press, ©2009.
版本/格式:   圖書 : 英語 : 4th ed所有版本和格式的總覽
資料庫:WorldCat
提要:
Book Description: Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'. Introduction to Linear Algebra, Fourth Edition includes challenge problems to complement the review problems that have been highly praised in previous editions. The basic course  再讀一些...
評定級別:

(尚未評分) 0 附有評論 - 成爲第一個。

主題
更多類似這樣的

 

在線上查詢

與資料的連結

在圖書館查詢

&AllPage.SpinnerRetrieving; 正在查詢有此資料的圖書館...

詳細書目

類型/形式: Textbooks
資料類型: 網際網路資源
文件類型: 圖書, 網路資源
所有的作者/貢獻者: Gilbert Strang
ISBN: 9780980232714 0980232716 9780980232721 0980232724
OCLC系統控制編碼: 298178914
注意: Includes index.
描述: ix, 574 p. : ill. ; 24 cm.
内容: 1: Introduction To Vectors: --
1-1: Vectors and linear combinations --
1-2: Lengths and dot products --
1-3: Matrices --
2: Solving Linear Equations: --
2-1: Vectors and linear equations --
2-2: Idea of elimination --
2-3: Elimination using matrices --
2-4: Rules for matrix operations --
2-5: Inverse matrices --
2-6: Elimination = factorization: A = LU --
2-7: Transposes and permutations --
3: Vector Spaces And Subspaces: --
3-1: Spaces of vectors --
3-2: Nullspace of A: Solving Ax = 0 --
3-3: Rank and the row reduced form --
3-4: Complete solution to Ax = b --
3-5: Independence, basis and dimension --
3-6: Dimensions of the four subspaces --
4: Orthogonality: --
4-1: Orthogonality of the four subspaces --
4-2: Projections --
4-3: Least squares approximations --
4-4: Orthogonal bases and gram-Schmidt --
5: Determinants --
5-1: Properties of determinants --
5-2: Permutations and cofactors --
5-3: Cramer's rule, inverses, and volumes --
6: Eigenvalues And Eigenvectors: --
6-1: Introduction to eigenvalues --
6-2: Diagonalizing a matrix --
6-3: Applications to differential equations --
6-4: Symmetric matrices --
6-5: Positive definite matrices --
6-6: Similar matrices --
6-7: Singular Value Decomposition (SVD) --
7: Linear Transformations: --
7-1: Idea of a linear transformation --
7-2: Matrix of a linear transformation --
7-3: Diagonalization and the pseudoinverse --
8: Applications: --
8-1: Matrices in engineering --
8-2: Graphs and networks --
8-3: Markov matrices, population, and economics --
8-4: Linear programming --
8-5: Fourier series: linear algebra for functions --
8-6: Linear algebra for statistics and probability --
8-7: Computer graphics --
9: Numerical Linear Algebra: --
9-1: Gaussian elimination in practice --
9-2: Norms and condition numbers --
9-3: Iterative methods and preconditioners --
10: Complex vectors and matrices --
10-1: Complex numbers --
10-2: Hermitian and unitary matrices --
10-3: Fast Fourier transform --
Solutions to selected exercises --
Conceptual questions for review --
Glossary: A dictionary for linear algebra --
Matrix factorizations --
Teaching codes --
Index --
Linear algebra in a nutshell.
責任: Gilbert Strang.
更多資訊:

摘要:

Book Description: Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'. Introduction to Linear Algebra, Fourth Edition includes challenge problems to complement the review problems that have been highly praised in previous editions. The basic course is followed by seven applications: differential equations, engineering, graph theory, statistics, Fourier methods and the FFT, linear programming, and computer graphics. Thousands of teachers in colleges and universities and now high schools are using this book, which truly explains this crucial subject.

評論

讀者提供的評論
正在擷取GoodReads評論...
正在擷取DOGObooks的評論

標籤

所有的讀者標籤 (1)

檢視最熱門的標籤,呈現的形式是: 標籤我的最愛清單 | 標籤雲(tag cloud)

確認申請

你可能已經申請過這份資料。若還是想申請,請選確認。

連結資料


<http://www.worldcat.org/oclc/298178914>
library:oclcnum"298178914"
library:placeOfPublication
library:placeOfPublication
owl:sameAs<info:oclcnum/298178914>
rdf:typeschema:Book
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:bookEdition"4th ed."
schema:copyrightYear"2009"
schema:creator
schema:datePublished"2009"
schema:description"Book Description: Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'. Introduction to Linear Algebra, Fourth Edition includes challenge problems to complement the review problems that have been highly praised in previous editions. The basic course is followed by seven applications: differential equations, engineering, graph theory, statistics, Fourier methods and the FFT, linear programming, and computer graphics. Thousands of teachers in colleges and universities and now high schools are using this book, which truly explains this crucial subject."@en
schema:description"1: Introduction To Vectors: -- 1-1: Vectors and linear combinations -- 1-2: Lengths and dot products -- 1-3: Matrices -- 2: Solving Linear Equations: -- 2-1: Vectors and linear equations -- 2-2: Idea of elimination -- 2-3: Elimination using matrices -- 2-4: Rules for matrix operations -- 2-5: Inverse matrices -- 2-6: Elimination = factorization: A = LU -- 2-7: Transposes and permutations -- 3: Vector Spaces And Subspaces: -- 3-1: Spaces of vectors -- 3-2: Nullspace of A: Solving Ax = 0 -- 3-3: Rank and the row reduced form -- 3-4: Complete solution to Ax = b -- 3-5: Independence, basis and dimension -- 3-6: Dimensions of the four subspaces -- 4: Orthogonality: -- 4-1: Orthogonality of the four subspaces -- 4-2: Projections -- 4-3: Least squares approximations -- 4-4: Orthogonal bases and gram-Schmidt -- 5: Determinants -- 5-1: Properties of determinants -- 5-2: Permutations and cofactors -- 5-3: Cramer's rule, inverses, and volumes -- 6: Eigenvalues And Eigenvectors: -- 6-1: Introduction to eigenvalues -- 6-2: Diagonalizing a matrix -- 6-3: Applications to differential equations -- 6-4: Symmetric matrices -- 6-5: Positive definite matrices -- 6-6: Similar matrices -- 6-7: Singular Value Decomposition (SVD) -- 7: Linear Transformations: -- 7-1: Idea of a linear transformation -- 7-2: Matrix of a linear transformation -- 7-3: Diagonalization and the pseudoinverse -- 8: Applications: -- 8-1: Matrices in engineering -- 8-2: Graphs and networks -- 8-3: Markov matrices, population, and economics -- 8-4: Linear programming -- 8-5: Fourier series: linear algebra for functions -- 8-6: Linear algebra for statistics and probability -- 8-7: Computer graphics -- 9: Numerical Linear Algebra: -- 9-1: Gaussian elimination in practice -- 9-2: Norms and condition numbers -- 9-3: Iterative methods and preconditioners -- 10: Complex vectors and matrices -- 10-1: Complex numbers -- 10-2: Hermitian and unitary matrices -- 10-3: Fast Fourier transform -- Solutions to selected exercises -- Conceptual questions for review -- Glossary: A dictionary for linear algebra -- Matrix factorizations -- Teaching codes -- Index -- Linear algebra in a nutshell."@en
schema:exampleOfWork<http://worldcat.org/entity/work/id/745035>
schema:genre"Textbooks"@en
schema:genre"Textbooks."@en
schema:inLanguage"en"
schema:name"Introduction to linear algebra"@en
schema:numberOfPages"574"
schema:publisher
schema:url
schema:workExample
schema:workExample

Content-negotiable representations

關閉視窗

請登入WorldCat 

没有帳號嗎?你可很容易的 建立免費的帳號.