在抽象代数中,交换代数旨在探讨交换环及其理想,以及交换环上的模

Linear Algebra with Applications by Leon Steven Linear Algebra with Applications by Leon Steven

Renowned professor and author Gilbert Strang demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. While the mathematics is there, the effort is not all concentrated on proofs. Strang's emphasis is on understanding. He explains concepts, rather than deduces. This book is written in an informal and personal style and teaches real mathematics. The gears change in Chapter 2 as students reach the introduction of vector spaces. Throughout the book, the theory is motivated and reinforced by genuine applications, allowing pure mathematicians to teach applied mathematics.

Linear Algebra Done Right一本很有趣的高等代数讲义，比国内大学的高等代数深一些，但是看起来很简单

This course may well require a different approach than those you used in previous mathematics courses. You may have become accustomed to working a home work problem by turning back in the text to find a similar problem, and then just changing some numbers.

Gilbert Strang Introduction to Linear Algebra 第5版的习题解答solutions manual 从书籍官网math.mit.edu/∼gs下载的，将多个pdf合并成一个pdf并增加索引的版本

英文版第三版。 描述线性算子的结构是线性代数的中心任务之一，传统的方法多以行列式为工具，但是行列式既难懂又不直观，其定义的引入也往往缺乏动因。本书作者独辟蹊径，抛弃了这种曲折的思路，把重点放在抽象的向量空间和线性映射上，给出的证明不使用行列式，更显得简单而直观。本书把行列式的内容放在了最后讲解，开辟了一条理解线性算子结构的新途径。书中还对一些术语、结论、证明思路、提及的数学家做了注释，增加了行文的趣味性，便于读者掌握核心概念和思想方法。 本书起点较低，不需要太多预备知识，而特色鲜明，是公认的阐述线性代数的经典佳作。原书自出版以来，迅速风靡世界，在30多个国家为200多所高校所采用，其中包括斯坦福大学和加州大学伯克利分校等著名学府。

适合复习matrices as vectors

作者: Jeremy Kepner / John Gilbert 出版社: Society for Industrial & Applied Mathematics 出版年: 2011-7-14 页数: 389 定价: USD 110.00 装帧: Hardcover ISBN: 9780898719901 Graphs are among the most important abstract data types in computer science, and the algorithms that operate on them are critical to modern life. Graphs have been shown to be powerful tools for modeling complex problems because of their simplicity and generality. Graph algorithms are one of the pillars of mathematics, informing research in such diverse areas as combinatorial optimization, complexity theory, and topology. Algorithms on graphs are applied in many ways in today s world - from Web rankings to metabolic networks, from finite element meshes to semantic graphs. The current exponential growth in graph data has forced a shift to parallel computing for executing graph algorithms. Implementing parallel graph algorithms and achieving good parallel performance have proven difficult. This book addresses these challenges by exploiting the well-known duality between a canonical representation of graphs as abstract collections of vertices and edges and a sparse adjacency matrix representation. This linear algebraic approach is widely accessible to scientists and engineers who may not be formally trained in computer science. The authors show how to leverage existing parallel matrix computation techniques and the large amount of software infrastructure that exists for these computations to implement efficient and scalable parallel graph algorithms. The benefits of this approach are reduced algorithmic complexity, ease of implementation, and improved performance. Graph Algorithms in the Language of Linear Algebra is the first book to cover graph algorithms accessible to engineers and scientists not trained in computer science but having a strong linear algebra background, enabling them to quickly understand and apply graph algorithms. It also covers array-based graph algorithms, showing readers how to express canon

Basics of Linear Algebra for Machine Learning - Discover the Mathematical Language of Data in Python by Jason Brownlee 19 step-by-step lessons, 211 pages. 线性代数是机器学习的支柱。没有机器学习，你就无法对机器学习产生深刻的理解和应用。 在这个新的激光聚焦电子书写在友好的机器学习掌握风格，你习惯了，你最终会切开方程，希腊字母和混乱，并发现在线性代数的主题，你需要知道。 通过清晰的解释、标准的 Python 库和分步教程课程，您将发现什么是线性代数、线性代数对机器学习、矢量和矩阵操作、矩阵保理、主要组件分析等的重要性。