线性代数(英文版)
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￥ 50.87 6.8折 ￥ 75 全新
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广东广州
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作者(美)彼得森
出版社世界图书出版公司
ISBN9787519219215
出版时间2017-01
装帧其他
开本其他
定价75元
货号3872643
上书时间2024-06-04
商品详情
- 品相描述：全新
- 商品描述
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目录
1 Basic Theory
1.1 Induction and Well—Ordering
1.2 Elementary Linear Algebra
1.3 Fields
1.4 Vector Spaces
1.5 Bases
1.6 Linear Maps
1.7 Linear Maps as Matrices
1.8 Dimension and lsomorphism
1.9 Matrix Representations Revisited
1.10 Subspaces
1.11 Linear Maps and Subspaces
1.12 Linear Independence
1.13 Row Reduction
1.14 Dual Spaces
1.15 Quotient Spaces
2 Linear Operators
2.1 Polynomials
2.2 Linear Differential Equations
2.3 Eigenvalues
2.4 The Minimal Polynomial
2.5 Diagonalizability
2.6 Cyclic Subspaces
2.7 The Frobenius Canonical Form
2.8 The Jordan Canonical Form
2.9 The Smith Normal Form
3 Inner Product Spaces
3.1 Examples of Inner Products
3.1.1 Real Inner Products
3.1.2 Complex Inner Products
3.1.3 A Digression on Quaternions
3.2 Inner Products
3.3 Orthonormal Bases
3.4 Orthogonal Complements and Projections
3.5 Adjoint Maps
3.6 Orthogonal Projections Revisited
3.7 Matrix Exponentials
4 Linear Operators on Inner Product Spaces
4.1 Self—Adjoint Maps
4.2 Polarization and Isometries
4.3 The Spectral Theorem
4.4 Normal Operators
4.5 Unitary Equivalence
4.6 Real Forms
4.7 Orthogonal Transformations
4.8 Triangulability
4.9 The Singular Value Decomposition
4.10 The Polar Decomposition
4.11 Quadratic Forms
5 Determinants
5.1 Geometric Approach
5.2 Algebraic Approach
5.3 How to Calculate Volumes
5.4 Existence of the Volume Form
5.5 Determinants of Linear Operators
5.6 Linear Equations
5.7 The Characteristic Polynomial
5.8 Differential Equations
References
Index
内容摘要
彼得森著的《线性代数(英文版)》内容包括大学高年级学生为升入研究生的必备知识，如复矢量空间，复内积，正常算子用的谱定理，双数空间，最小多项式，若而当典范形，有理典范形，最后一章介绍行列式。《线性代数》与同类书相比，别具特色。例如
，高斯消元法被作为一个获得特征值得主要工具，各章有美妙的习题，等等。
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