コンテンツへ移動
Introduction to linear algebra 資料のプレビュー
閉じる資料のプレビュー
確認中…

Introduction to linear algebra

著者: Gilbert Strang
出版: Wellesley, MA : Wellesley-Cambridge Press, ©2009.
エディション/フォーマット:   書籍 : English : 4th edすべてのエディションとフォーマットを見る
データベース:WorldCat
概要:
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  続きを読む
評価:

(まだ評価がありません) 0 件のレビュー - 是非あなたから!

件名:
関連情報:

 

オンラインで入手

この資料へのリンク

オフラインで入手

&AllPage.SpinnerRetrieving; この資料の所蔵館を検索中…

詳細

ジャンル/形式: Textbooks
資料の種類: インターネット資料
ドキュメントの種類: 図書, インターネットリソース
すべての著者/寄与者: Gilbert Strang
ISBN: 9780980232714 0980232716 9780980232721 0980232724
OCLC No.: 298178914
注記: Includes index.
物理形態: ix, 574 pages : illustrations ; 24 cm
コンテンツ: 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.
責任者: Gilbert Strang.

概要:

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.

レビュー

ユーザーレビュー
GoodReadsのレビューを取得中…
DOGObooksのレビューを取得中…

タグ

すべてのユーザーのタグ (1)

人気のタグを表示: タグリスト | タグクラウド

リクエストの確認

あなたは既にこの資料をリクエストしている可能性があります。このリクエストを続行してよろしければ、OK を選択してください。

リンクデータ


<http://www.worldcat.org/oclc/298178914>
library:oclcnum"298178914"
library:placeOfPublication
library:placeOfPublication
rdf:typeschema:MediaObject
rdf:typeschema:Book
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"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: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:exampleOfWork<http://worldcat.org/entity/work/id/745035>
schema:genre"Textbooks"@en
schema:inLanguage"en"
schema:name"Introduction to linear algebra"@en
schema:publication
schema:publisher
schema:workExample
schema:workExample
wdrs:describedby

Content-negotiable representations

ウインドウを閉じる

WorldCatにログインしてください 

アカウントをお持ちではないですか?簡単に 無料アカウントを作成することができます。.