施奈德：矩阵与线性代数（修订版） Matrices and Linear Algebra (Revised)

基本信息

Series:Dover Books on Mathema 1.4tics

Format:Paperback / softback 432 pages

Publisher:Dover Publications Inc.

Imprint:Dover Publications Inc.

ISBN:9780486660141

Published:28 Mar 2003

Weight:450g

Dimensions:136 x 216 x 21 (mm)

页面参数仅供参考，具体以实物为准

书籍简介

线性代数是数学的核心学科之一。如果要继续学习现代代数或函数分析，学习数学的学生需要了解线性代数。现在教授给工程师和物理学家的大部分数学课程都需要它。

这本知名且备受推崇的教材让数学经验很少的本科生也能学习这门学科。本书主要面向物理、工程、经济学和数学以外其他领域的学生，介绍了矩阵理论和线性方程组的应用，以及许多相关主题，如行列式、特征值和微分方程。

目录：

l。矩阵代数

2. 线性方程

3. 向量空间

4. 行列式

5. 线性变换

6. 特征值和特征向量

7. 内积空间

8. 微分方程的应用

对于第二版，作者在每一章中都增加了几个练习，并在第 7 章中增加了一个全新的部分。这些练习既是判断题又是多项选择题，可帮助学生测试自己对本章中定义和定理的掌握程度。第 7 章中的新部分通过圆锥曲线和二次曲面说明了西尔维斯特定理的几何内容。

Linear algebra is one of the central disciplines in mathematics. A student of pure mathematics must know linear algebra if he is to continue with modern algebra or functional analysis. Much of the mathematics now taught to engineers and physicists requires it.

This well-known and highly regarded text makes the subject accessible to undergraduates with little mathematical experience. Written mainly for students in physics, engineering, economics, and other fields outside mathematics, the book gives the theory of matrices and applications to systems of linear equations, as well as many related topics such as determinants, eigenvalues, and differential equations.

Table of Contents:

l. The Algebra of Matrices

2. Linear Equations

3. Vector Spaces

4. Determinants

5. Linear Transformations

6. Eigenvalues and Eigenvectors

7. Inner Product Spaces

8. Applications to Differential Equations

For the second edition, the authors added several exercises in each chapter and a brand new section in Chapter 7. The exercises, which are both true-false and multiple-choice, will enable the student to test his grasp of the definitions and theorems in the chapter. The new section in Chapter 7 illustrates the geometric content of Sylvester's Theorem by means of conic sections and quadric surfaces.

作者简介

汉斯·施耐德（1927 年 1 月 24 日，奥地利维也纳 - 2014 年 10 月 28 日）是英裔美国数学家，威斯康星大学麦迪逊分校詹姆斯·约瑟夫·西尔维斯特名誉教授。他是国际矩阵小组（1987-1990 年）及其继任者国际线性代数学会（1990-1996 年）的主席，该学会于 1993 年设立了三年一度的汉斯·施耐德奖。施耐德是《线性代数及其应用》的创始编辑（1968-1972 年），后来担任主编（1972-2012 年），也是《线性代数电子杂志》的顾问编辑。

他于 1952 年获得爱丁堡大学博士学位；他的导师是亚历山大·克雷格·艾特肯。获得博士学位后，他在贝尔法斯特女王大学任教，直到 1959 年，他才转到威斯康星大学。他于 1993 年退休。他撰写了 160 多篇研究论文。他的研究涵盖了线性代数的许多主题，例如佩隆·弗罗贝尼乌斯理论及其相关主题、惯性理论，以及近期的代数。

Hans Schneider (24 January 1927 in Vienna, Austria - 28 October 2014) was a British-American mathematician, and James Joseph Sylvester Emeritus Professor at the University of Wisconsin–Madison. He was the first president of the International Matrix Group (1987-1990) and its successor, the International Linear Algebra Society (1990 – 1996), which established the triennial Hans Schneider Prize in 1993. Schneider was a founding editor (1968-1972) and then editor-in-chief of Linear Algebra and Its Applications (1972 - 2012) and an Advisory Editor of the Electronic Journal of Linear Algebra.

He received his Ph.D. from the University of Edinburgh in 1952; his advisor was Alexander Craig Aitken. Following his doctorate, he taught at the Queen's University of Belfast until 1959, when he moved to the University of Wisconsin. He retired in 1993. He was the author of over 160 research papers. His research covered many topics in linear algebra, such as Perron Frobenius theory and related topics, inertia theory. and lately max algebra.