你是不是曾经被线性代数里奇怪的名词和繁琐的计算所困？不知道在说什么，也不知道该从哪里人手进行学习？那么，这本书最合适你不过了。这是世界上最简单的线性代数教科书，它透过漫画式的情境说明，让你边看故事边学知识，每读完一篇就能理解一个概念，每一部分还附有文字说明，只要跟着这些简单的习题进行操练，你将能在最短的时间内修炼成线性代数达人！ 有趣的故事情节、时尚的漫画人物造型、细致的内容讲解定能给你留下深刻的印象，让你看过忘不了。不论你是学生、上班族或是已经有一家属于自己的公司的老板，活学活用线性代数知识，定能为你的学习与工作增添更多的便利。

Praise for the First Edition ". . .recommended for the teacher and researcher as well as for graduate students. In fact, [it] has a place on every mathematician's bookshelf." -American Mathematical Monthly Linear Algebra and Its Applications, Second Edition presents linear algebra as the theory and practice of linear spaces and linear maps with a unique focus on the analytical aspects as well as the numerous applications of the subject. In addition to thorough coverage of linear equations, matrices, vector spaces, game theory, and numerical analysis, the Second Edition features student-friendly additions that enhance the book's accessibility, including expanded topical coverage in the early chapters, additional exercises, and solutions to selected problems. Beginning chapters are devoted to the abstract structure of finite dimensional vector spaces, and subsequent chapters address convexity and the duality theorem as well as describe the basics of normed linear spaces and linear maps between normed spaces. Further updates and revisions have been included to reflect the most up-to-date coverage of the topic, including: The QR algorithm for finding the eigenvalues of a self-adjoint matrix The Householder algorithm for turning self-adjoint matrices into tridiagonal form The compactness of the unit ball as a criterion of finite dimensionality of a normed linear spaceAdditionally, eight new appendices have been added and cover topics such as: the Fast Fourier Transform; the spectral radius theorem; the Lorentz group; the compactness criterion for finite dimensionality; the characterization of commentators; proof of Liapunov's stability criterion; the construction of the Jordan Canonical form of matrices; and Carl Pearcy's elegant proof of Halmos' conjecture about the numerical range of matrices. Clear, concise, and superbly organized, Linear Algebra and Its Applications, Second Edition serves as an excellent text for advanced undergraduate- and graduate-level courses in linear algebra. Its comprehensive treatment of the subject also makes it an ideal reference or self-study for industry professionals.

本书是同济大学数学系编《线性代数》的第五版，依据工科类本科线性代数课程教学基本要求（以下简称教学基本要求）修订而成。此次修订参照近年来线性代数课程及教材建设的经验和成果，对原有内容作了全面的审视与修改，修订的主导思想是：在满足教学基本要求的前提下，适当降低理论推导的要求，注重解决问题的矩阵方法。为此，对书中某些理论的证明改为小字排印，并调整了部分例题与习题。 本书内容分为：行列式、矩阵及其运算、矩阵的初等变换与线性方程组、向量组的线性相关性、相似矩阵及二次型、线性空间与线性变换等六章，各章均配有一定数量的习题，书末附有习题答案。其中一至五章（除用小字排印的内容外）符合教学基本要求，教学时数约34学时。一至五章中用小字排印的内容供读者选读，第六章较多地带有理科的色彩，供对数学要求较高的专业选用。 本书可供高等院校工程类各专业使用，也可供自学者和科技工作者阅读。

高等代数学习指导书（上十五国家级规划教材配套学习指导书），ISBN：9787302109754，作者：丘维声

New edition extensively revised and updated Covers new topics such as product spaces, quotient spaces, and dual spaces Features new visually appealing format for both print and electronic versions Includes almost three times the number of exercises as the previous edition This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator. From reviews of previous editions: “… a didactic masterpiece” —Zentralblatt MATH “… a tour de force in the service of simplicity and clarity … The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library.” —CHOICE The determinant-free proofs are elegant and intuitive. —American Mathematical Monthly “Clarity through examples is emphasized … the text is ideal for class exercises … I congratulate the author and the publisher for a well-produced textbook on linear algebra.” —Mathematical Reviews

《高等代数简明教程》(上册)(第2版)共十二章，分上、下两册出版。上册(第一章至第五章)是线性代数的基础教材，内容包括向量空间、矩阵、行列式、线性空间与线性变换、双线性函数与二次型。《高等代数简明教程》(上册)(第2版)每个章节都安排了相当数量的习题作为课外练习或习题课上选用，其中的计算题在书末附有答案，较难的题则有提示。《高等代数简明教程》(上册)(第2版)可作为综合大学、高等师范院校数学系、力学系、应用数学系大学生高等代数课程的教材或教学参考书，对于青年教师、数学工作者《高等代数简明教程》(上册)(第2版)也是很好的教学参考书或学习用书。