A Modern Introduction Linear Algebra, 4th edition 《现代线性代数导论》David Poole

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这本书的链接排在“numerical linear algebra”搜索的第一条，绝对经典。我买了中文翻译版，感觉翻得不是很好，差一点咬牙买原版的，最近终于从网上找到djvu格式的电子版了，扫描质量相当不错

关于微分几何的电子书，最新版本，经典著作，适合工学理学等领域

给出几何代数在理论物理中的应用

The goal of the Volume I Geometric Algebra for Computer Vision, Graphics and Neural Computing is to present a unified mathematical treatment of diverse problems in the general domain of artificial intelligence and associated fields using Clifford, or geometric, algebra. Geometric algebra provides a rich and general mathematical framework for Geometric Cybernetics in order to develop solutions, concepts and computer algorithms without losing geometric insight of the problem in question. Current mathematical subjects can be treated in an unified manner without abandoning the mathematical system of geometric algebra for instance: multilinear algebra, projective and affine geometry, calculus on manifolds, Riemann geometry, the representation of Lie algebras and Lie groups using bivector algebras and conformal geometry. By treating a wide spectrum of problems in a common language, this Volume I offers both new insights and new solutions that should be useful to scientists, and engineers working in different areas related with the development and building of intelligent machines. Each chapter is written in accessible terms accompanied by numerous examples, figures and a complementary appendix on Clifford algebras, all to clarify the theory and the crucial aspects of the application of geometric algebra to problems in graphics engineering, image processing, pattern recognition, computer vision, machine learning, neural computing and cognitive systems.

Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.

Basics of Linear Algebra for Machine Learning.zip 机器学习的线性代数基础 课程代码

随机矩阵 随机矩阵理论的软件包。 希望增加足够的功能并在2021年8月发布。 例子 随机矩阵理论 随机矩阵模型 生成3 x 3随机Unit矩阵运行 RandomUnitaryMatrix(3)或等效 rand(Haar(2,3)) 生成3 x 3随机正交矩阵 RandomOrthogonalMatrix(3)或等效 rand(Haar(1,3)) 随机线性代数 如果A是一个乘m矩阵，而B是一个乘w矩阵。 运行RandomSamplingMatrix(A,B,k=2)将生成大小为m×k的随机采样矩阵S。 其中E（SS'）= I，而E（ASS'B）= AB。 对于定义，请检查代码或在2.2节末尾（在2.3节之前）查找S：= SD。

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