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1.

図書

図書
by Chris Rorres, Howard Anton
出版情報: New York : Wiley, c1977  ix, 233 p. ; 23 cm
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2.

図書

図書
Howard Anton, Irl Bivens, Stephen Davis著 ; 井川満訳
出版情報: 京都 : 京都大学学術出版会, 2013-2014.5  3冊 ; 26cm
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目次情報: 続きを見る
第1章 関数 : 関数とグラフの解析
関数の性質 ほか
第2章 極限と連続性 : 極限 / 直感的なアプローチ
極限の計算 : ほか
第3章 微分 : 傾きと変化率
微分 ほか
第4章 導関数を用いてグラフを描くことおよび他の応用 : 関数の解析1:増加、減少、凸性
関数の解析2:極値
1階導関数と2階導関数によるテスト ほか
第5章 : 積分法
第6章 : 定積分の、幾何学、科学、および工学における応用
第7章 : 指数関数、対数関数、逆三角関数
第8章 : 積分計算の原理
第9章 : 微分方程式による数学的モデル化
第10章 : 無限級数
第11章 微積分学における解析幾何学 : 極座標
パラメータ曲線や極曲線の接線と弧長 ほか
第12章 3次元空間とベクトル : 3次元空間の直交座標系—球面と柱面
ベクトル ほか
第13章 ベクトル値関数 : ベクトル値関数の導入
ベクトル値関数の微積分 ほか
第14章 偏導関数 : 2つ以上の変数をもつ関数
極限と連続性 ほか
第15章 多重積分 : 2重析分
長方形以外の領域上の2重積分 ほか
第16章 ベクトル解析 : ベクトル場
線積分 ほか
第1章 関数 : 関数とグラフの解析
関数の性質 ほか
第2章 極限と連続性 : 極限 / 直感的なアプローチ
概要: 大学の数学はここから始まる。丁寧な解説で概念や公式の理解を深め、豊富な演習問題で思考力と計算力を鍛える。具体的な場面設定の演習問題で、理学や工学、経済学ほか、広範な専門領域への応用に役立つ。<br />丁寧な解説で概念や公式の理解を深め、豊 富な演習問題で思考力と計算力を鍛える。中巻は積分法の基礎と応用、さまざまな関数の微積分、無限級数。<br />丁寧な解説で概念や公式の理解を深め、豊富な演習問題で思考力と計算力を鍛える。下巻は偏微分、多重積分、ベクトル解析を扱う。 続きを見る
3.

図書

図書
Howard Anton
出版情報: Hoboken, N.J. : Wiley, c2013  xii, 525, 43, 10 p. ; 27 cm
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4.

図書

図書
Howard Anton
出版情報: New York : Wiley, c1981  491 p. in various pagings ; 24 cm
所蔵情報: loading…
目次情報: 続きを見る
Systems of Linear Equations and Matrices
Note: All relevant chapters end with Supplementary Exercises.
Determinants
Vectors in 2-Space and 3-Space / 1:
Linear Equations and Matrices
Euclidean Vector Spaces
Systems of Linear Equations
General Vector Spaces
Matrices
Inner Product Spaces
Matrix Multiplication
Eigenvalues, Eigenvectors
Algebraic Properties of Matrix Operations
Linear Transformations
Special Types of Matrices and Partitioned Matrices
Additional Topics
Matrix Transformations
Complex Vector Spaces
Computer Graphics
Answers to Exercises
Correlation Coefficient (Optional)
Photo Credits
Index / 2:
Solving Linear Systems
Echelon Form of a Matrix
Elementary Matrices: Finding A-1
Equivalent Matrices
LU-Factorization (Optional)
Real Vector Spaces / 3:
Vectors in the Plane and in 3-space
Vector Spaces
Subspaces
Span and Linear Independence
Basis and Dimension
Homogeneous Systems
Coordinates and Isomorphisms
Rank of a Matrix
Standard Inner Product on R2 and R3 / 4:
Cross Product in R3 (Optional)
Gram-Schmidt Process
Orthogonal Complements
Least Squares (Optional)
Linear Transformations and Matrices / 5:
Definition and Examples
Kernel and Range of a Linear Transformation
Matrix of a Linear Transformation
Vector Space of Matrices and Vector Space of Linear Transformations (Optional)
Similarity
Inroduction to Homogeneous Coordinates (Optional)
Definition / 6:
Properties of Determinants
Cofactor Expansion
Inverse of a Matrix
Other Applications of Determinants
Determinants from a Computational Point of View
Eigenvalues and Eigenvectors / 7:
Diagonalization and Similar Matrices
Stable Age Distribution in a Population
Markov Processes (Optional)
Diagonalization of Symmetric Matrices
Spectral Decomposition and Singular Value Decomposition (Optional)
Real Quadratic Forms
Conic Sections
Quadric Surfaces
Dominant Eigenvalue and Principal Component Analysis (Optional)
Differential Equations (Optional) / 8:
Differential Equations
Dynamical Systems
MATLAB for Linear Algebra / 9:
Input and Output in MATLAB
Matrix Operations in MATLAB
Matrix Powers and Some Special Matrices
Elementary Row Operations in MATLAB
Matrix Inverses in MATLAB
Vectors in MATLAB
Applications of Linear Combinations in MATLAB
Linear Transformations in MATLAB
MATLAB Command Summary
MATLAB Exercises / 10:
Preliminaries Sets Functions / Appendix A:
Complex Numbers Complex Numbers Complex Numbers in Linear Algebra / Appendix B:
Introduction to Proofs / Appendix C:
Answers to Odd-Numbered Exercises
Systems of Linear Equations and Matrices
Note: All relevant chapters end with Supplementary Exercises.
Determinants
5.

図書

図書
Howard Anton
出版情報: New York : Wiley, c1977  xv,366 p. in various pagings ; 24 cm
所蔵情報: loading…
目次情報: 続きを見る
Systems of Linear Equations and Matrices
Note: All relevant chapters end with Supplementary Exercises.
Determinants
Vectors in 2-Space and 3-Space / 1:
Linear Equations and Matrices
Euclidean Vector Spaces
Systems of Linear Equations
General Vector Spaces
Matrices
Inner Product Spaces
Matrix Multiplication
Eigenvalues, Eigenvectors
Algebraic Properties of Matrix Operations
Linear Transformations
Special Types of Matrices and Partitioned Matrices
Additional Topics
Matrix Transformations
Complex Vector Spaces
Computer Graphics
Answers to Exercises
Correlation Coefficient (Optional)
Photo Credits
Index / 2:
Solving Linear Systems
Echelon Form of a Matrix
Elementary Matrices: Finding A-1
Equivalent Matrices
LU-Factorization (Optional)
Real Vector Spaces / 3:
Vectors in the Plane and in 3-space
Vector Spaces
Subspaces
Span and Linear Independence
Basis and Dimension
Homogeneous Systems
Coordinates and Isomorphisms
Rank of a Matrix
Standard Inner Product on R2 and R3 / 4:
Cross Product in R3 (Optional)
Gram-Schmidt Process
Orthogonal Complements
Least Squares (Optional)
Linear Transformations and Matrices / 5:
Definition and Examples
Kernel and Range of a Linear Transformation
Matrix of a Linear Transformation
Vector Space of Matrices and Vector Space of Linear Transformations (Optional)
Similarity
Inroduction to Homogeneous Coordinates (Optional)
Definition / 6:
Properties of Determinants
Cofactor Expansion
Inverse of a Matrix
Other Applications of Determinants
Determinants from a Computational Point of View
Eigenvalues and Eigenvectors / 7:
Diagonalization and Similar Matrices
Stable Age Distribution in a Population
Markov Processes (Optional)
Diagonalization of Symmetric Matrices
Spectral Decomposition and Singular Value Decomposition (Optional)
Real Quadratic Forms
Conic Sections
Quadric Surfaces
Dominant Eigenvalue and Principal Component Analysis (Optional)
Differential Equations (Optional) / 8:
Differential Equations
Dynamical Systems
MATLAB for Linear Algebra / 9:
Input and Output in MATLAB
Matrix Operations in MATLAB
Matrix Powers and Some Special Matrices
Elementary Row Operations in MATLAB
Matrix Inverses in MATLAB
Vectors in MATLAB
Applications of Linear Combinations in MATLAB
Linear Transformations in MATLAB
MATLAB Command Summary
MATLAB Exercises / 10:
Preliminaries Sets Functions / Appendix A:
Complex Numbers Complex Numbers Complex Numbers in Linear Algebra / Appendix B:
Introduction to Proofs / Appendix C:
Answers to Odd-Numbered Exercises
Systems of Linear Equations and Matrices
Note: All relevant chapters end with Supplementary Exercises.
Determinants
6.

図書

図書
Howard Anton, Chris Rorres
出版情報: New York : John Wiley, c2000  xvi, [8], 822 p. ; 27 cm
所蔵情報: loading…
目次情報: 続きを見る
Systems of Linear Equations and Matrices
Note: All relevant chapters end with Supplementary Exercises.
Determinants
Vectors in 2-Space and 3-Space / 1:
Linear Equations and Matrices
Euclidean Vector Spaces
Systems of Linear Equations
General Vector Spaces
Matrices
Inner Product Spaces
Matrix Multiplication
Eigenvalues, Eigenvectors
Algebraic Properties of Matrix Operations
Linear Transformations
Special Types of Matrices and Partitioned Matrices
Additional Topics
Matrix Transformations
Complex Vector Spaces
Computer Graphics
Answers to Exercises
Correlation Coefficient (Optional)
Photo Credits
Index / 2:
Solving Linear Systems
Echelon Form of a Matrix
Elementary Matrices: Finding A-1
Equivalent Matrices
LU-Factorization (Optional)
Real Vector Spaces / 3:
Vectors in the Plane and in 3-space
Vector Spaces
Subspaces
Span and Linear Independence
Basis and Dimension
Homogeneous Systems
Coordinates and Isomorphisms
Rank of a Matrix
Standard Inner Product on R2 and R3 / 4:
Cross Product in R3 (Optional)
Gram-Schmidt Process
Orthogonal Complements
Least Squares (Optional)
Linear Transformations and Matrices / 5:
Definition and Examples
Kernel and Range of a Linear Transformation
Matrix of a Linear Transformation
Vector Space of Matrices and Vector Space of Linear Transformations (Optional)
Similarity
Inroduction to Homogeneous Coordinates (Optional)
Definition / 6:
Properties of Determinants
Cofactor Expansion
Inverse of a Matrix
Other Applications of Determinants
Determinants from a Computational Point of View
Eigenvalues and Eigenvectors / 7:
Diagonalization and Similar Matrices
Stable Age Distribution in a Population
Markov Processes (Optional)
Diagonalization of Symmetric Matrices
Spectral Decomposition and Singular Value Decomposition (Optional)
Real Quadratic Forms
Conic Sections
Quadric Surfaces
Dominant Eigenvalue and Principal Component Analysis (Optional)
Differential Equations (Optional) / 8:
Differential Equations
Dynamical Systems
MATLAB for Linear Algebra / 9:
Input and Output in MATLAB
Matrix Operations in MATLAB
Matrix Powers and Some Special Matrices
Elementary Row Operations in MATLAB
Matrix Inverses in MATLAB
Vectors in MATLAB
Applications of Linear Combinations in MATLAB
Linear Transformations in MATLAB
MATLAB Command Summary
MATLAB Exercises / 10:
Preliminaries Sets Functions / Appendix A:
Complex Numbers Complex Numbers Complex Numbers in Linear Algebra / Appendix B:
Introduction to Proofs / Appendix C:
Answers to Odd-Numbered Exercises
Systems of Linear Equations and Matrices
Note: All relevant chapters end with Supplementary Exercises.
Determinants
7.

図書

図書
Howard Anton
出版情報: Hoboken, NJ : John Wiley & Sons, c2005  xv, 606 p. ; 26 cm
所蔵情報: loading…
目次情報: 続きを見る
Systems of Linear Equations and Matrices
Note: All relevant chapters end with Supplementary Exercises.
Determinants
Vectors in 2-Space and 3-Space / 1:
Linear Equations and Matrices
Euclidean Vector Spaces
Systems of Linear Equations
General Vector Spaces
Matrices
Inner Product Spaces
Matrix Multiplication
Eigenvalues, Eigenvectors
Algebraic Properties of Matrix Operations
Linear Transformations
Special Types of Matrices and Partitioned Matrices
Additional Topics
Matrix Transformations
Complex Vector Spaces
Computer Graphics
Answers to Exercises
Correlation Coefficient (Optional)
Photo Credits
Index / 2:
Solving Linear Systems
Echelon Form of a Matrix
Elementary Matrices: Finding A-1
Equivalent Matrices
LU-Factorization (Optional)
Real Vector Spaces / 3:
Vectors in the Plane and in 3-space
Vector Spaces
Subspaces
Span and Linear Independence
Basis and Dimension
Homogeneous Systems
Coordinates and Isomorphisms
Rank of a Matrix
Standard Inner Product on R2 and R3 / 4:
Cross Product in R3 (Optional)
Gram-Schmidt Process
Orthogonal Complements
Least Squares (Optional)
Linear Transformations and Matrices / 5:
Definition and Examples
Kernel and Range of a Linear Transformation
Matrix of a Linear Transformation
Vector Space of Matrices and Vector Space of Linear Transformations (Optional)
Similarity
Inroduction to Homogeneous Coordinates (Optional)
Definition / 6:
Properties of Determinants
Cofactor Expansion
Inverse of a Matrix
Other Applications of Determinants
Determinants from a Computational Point of View
Eigenvalues and Eigenvectors / 7:
Diagonalization and Similar Matrices
Stable Age Distribution in a Population
Markov Processes (Optional)
Diagonalization of Symmetric Matrices
Spectral Decomposition and Singular Value Decomposition (Optional)
Real Quadratic Forms
Conic Sections
Quadric Surfaces
Dominant Eigenvalue and Principal Component Analysis (Optional)
Differential Equations (Optional) / 8:
Differential Equations
Dynamical Systems
MATLAB for Linear Algebra / 9:
Input and Output in MATLAB
Matrix Operations in MATLAB
Matrix Powers and Some Special Matrices
Elementary Row Operations in MATLAB
Matrix Inverses in MATLAB
Vectors in MATLAB
Applications of Linear Combinations in MATLAB
Linear Transformations in MATLAB
MATLAB Command Summary
MATLAB Exercises / 10:
Preliminaries Sets Functions / Appendix A:
Complex Numbers Complex Numbers Complex Numbers in Linear Algebra / Appendix B:
Introduction to Proofs / Appendix C:
Answers to Odd-Numbered Exercises
Systems of Linear Equations and Matrices
Note: All relevant chapters end with Supplementary Exercises.
Determinants
8.

図書

図書
Howard Anton, Chris Rorres
出版情報: Hoboken, N.J. : John Wiley & Sons, c2011  xiv, 777 p. ; 26 cm
所蔵情報: loading…
目次情報: 続きを見る
Systems of Linear Equations and Matrices / Chapter 1:
Determinants / Chapter 2:
Euclidean Vector Spaces / Chapter 3:
General Vector Spaces / Chapter 4:
Eignvalues and Eigenvectors / Chapter 5:
Inner Product Spaces / Chapter 6:
Diagonalization and Quadratic Forms / Chapter 7:
Linear Transformations / Chapter 8:
Numerical Methods / Chapter 9:
Applications of Linear Algebra / Chapter 10:
Systems of Linear Equations and Matrices / Chapter 1:
Determinants / Chapter 2:
Euclidean Vector Spaces / Chapter 3:
9.

図書

図書
Howard Anton, Chris Rorres
出版情報: Hoboken, N.J. : John Wiley & Sons, c2015  xiii, 769 p. ; 26 cm
所蔵情報: loading…
10.

図書

図書
Howard Anton, Irl Bivens, Stephen Davis
出版情報: Hoboken, N.J. : John Wiley & Sons, c2012  xix, 1168, 97, 26 p. ; 27 cm
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目次情報: 続きを見る
Before Calculus / Chapter 0:
Limits and Continuity / Chapter 1:
The Derivative / Chapter 2:
Topics in Differentiation / Chapter 3:
The Derivative in Graphing and Applications / Chapter 4:
Integration / Chapter 5:
Applications of the Definite Integral in Geometry, Science, and Engineering / Chapter 6:
Principles of Integral Evaluation / Chapter 7:
Mathematical Modeling with Differential Equations / Chapter 8:
Infinite Series / Chapter 9:
Parametric and Polar Curves; Conic Sections / Chapter 10:
Three-Dimensional Space; Vectors / Chapter 11:
Vector-Valued Functions / Chapter 12:
Partial Derivatives / Chapter 13:
Multiple Integrals / Chapter 14:
Topics in Vector Calculus / Chapter 15:
Appendix
Graphing Functions Using Calculators and Computer Algebra Systems / A:
Trigonometry Review / B:
Solving Polynomial Equations / C:
Mathematical Models / D:
Selected Proofs / E:
Web Appendices
Real Numbers, Intervals, and Inequalities / F:
Absolute Value / G:
Coordinate Planes, Lines, and Linear Functions / H:
Distance, Circles, and Quadratic Functions / I:
Second-Order Linear Homogeneous Differential Equations; The Vibrating String / J:
The Discriminant. / K:
Before Calculus / Chapter 0:
Limits and Continuity / Chapter 1:
The Derivative / Chapter 2:
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