David C. Lay holds a B.A. from Aurora University (Illinois), and an M.A. and Ph.D. from the University of California at Los Angeles. David Lay has been an educator and research mathematician since 1966, mostly at the University of Maryland, College Park. He has also served as a visiting professor at the University of Amsterdam, the Free University in Amsterdam, and the University of Kaiserslautern, Germany. He has published more than 30 research articles on functional analysis and linear algebra. As a founding member of the NSF-sponsored Linear Algebra Curriculum Study Group, David Lay has been a leader in the current movement to modernize the linear algebra curriculum. Lay is also a coauthor of several mathematics texts, including Introduction to Functional Analysis with Angus E. Taylor, Calculus and Its Applications, with L. J. Goldstein and D. I. Schneider, and Linear Algebra Gems–Assets for Undergraduate Mathematics, with D. Carlson, C. R. Johnson, and A. D. Porter. David Lay has received four university awards for teaching excellence, including, in 1996, the title of Distinguished Scholar—Teacher of the University of Maryland. In 1994, he was given one of the Mathematical Association of America’s Awards for Distinguished College or University Teaching of Mathematics. He has been elected by the university students to membership in Alpha Lambda Delta National Scholastic Honor Society and Golden Key National Honor Society. In 1989, Aurora University conferred on him the Outstanding Alumnus award. David Lay is a member of the American Mathematical Society, the Canadian Mathematical Society, the International Linear Algebra Society, the Mathematical Association of America, Sigma Xi, and the Society for Industrial and Applied Mathematics. Since 1992, he has served several terms on the national board of the Association of Christians in the Mathematical Sciences.
Steven R. Lay began his teaching career at Aurora University (Illinois) in 1971, after earning an M.A. and a Ph.D. in mathematics from the University of California at Los Angeles. His career in mathematics was interrupted for eight years while serving as a missionary in Japan. Upon his return to the States in 1998, he joined the mathematics faculty at Lee University (Tennessee) and has been there ever since. Since then he has supported his brother David in refining and expanding the scope of this popular linear algebra text, including writing most of Chapters 8 and 9. Steven is also the author of three college-level mathematics texts: Convex Sets and Their Applications, Analysis with an Introduction to Proof, and Principles of Algebra. In 1985, Steven received the Excellence in Teaching Award at Aurora University. He and David, and their father, Dr. L. Clark Lay, are all distinguished mathematicians, and in 1989 they jointly received the Outstanding Alumnus award from their alma mater, Aurora University. In 2006, Steven was honored to receive the Excellence in Scholarship Award at Lee University. He is a member of the American Mathematical Society, the Mathematics Association of America, and the Association of Christians in the Mathematical Sciences.
Judi J. McDonald joins the authorship team after working closely with David on the fourth edition. She holds a B.Sc. in Mathematics from the University of Alberta, and an M.A. and Ph.D. from the University of Wisconsin. She is currently a professor at Washington State University. She has been an educator and research mathematician since the early 90s. She has more than 35 publications in linear algebra research journals. Several undergraduate and graduate students have written projects or theses on linear algebra under Judi’s supervision. She has also worked with the mathematics outreach project Math Central http://mathcentral.uregina.ca/ and continues to be passionate about mathematics education and outreach. Judi has received three teaching awards: two Inspiring Teaching awards at the University of Regina, and the Thomas Lutz College of Arts and Sciences Teaching Award at Washington State University. She has been an active member of the International Linear Algebra Society and the Association for Women in Mathematics throughout her career and has also been a member of the Canadian Mathematical Society, the American Mathematical Society, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics.
With traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations) are not easily understood and require time to assimilate. These concepts are fundamental to the study of linear algebra, so students' understanding of them is vital to mastering the subject. This text makes these concepts more accessible by introducing them early in a familiar, concrete Rn setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand.
认识一本好书就像遇见对的人,这本书就给我这种感觉,相见恨晚! 先说那些小装饰,章前都有相关知识对应的生活应用实例+配图,虽然内容很少,但也很好地拉近了线代与生活的距离;一些注释会有一些参考文献的名字,偶尔去网上翻一下可以深入了解,甚至能挖到一些厉害的书,很开...
评分在几种线性代数入门教材中我想这是最适合中国普通学生的了,抽象能力好的入门可以看linear algebra done right (修改这一部分,抽象能力好的不应该看linear algebra done right这本,这本其实真不好的,抽象能力好的我推荐gelfand的线性代数学(lecture notes on algebra) 或者...
评分作者在开篇就给了线性代数一个很新奇的定义:“从某种意义上说,线性代数是一门语言,你要像对待外语一样,每天都学。”书中有大量的应用实例,内容结构安排的很好,前几章就引入子空间,向量,线性变换的概念,还介绍了一下线性代数的核心思想和研究内容,而后面几章的内容都...
评分原书可能是好书,但是中文版翻译真是太烂了,奉劝诸位能看英文版的尽量看英文的。 ps:第二页的“两个线性方程组称为等价的.若它们有相同的解集.”这是高中生的翻译水平么?简直是侮辱高中生。我真的很怀疑这本书的译者怎么有胆量把自己的名字印在书上的,不嫌丢人么?我真的很...
评分因为是考研学习LA 所以看了全国被普遍采用的那本紫色的同济LA教材,看着看着我发现那本书其实只是一本 线性代数公式大全,言简意赅到一个境界了,不适合我这样的普通智商的学生参读。 后来选择了这本LA&applications 觉得很不错。每章用一个introductory example开头 让人...
由于时间和精力,只做了PRACTICE PROBLEMS部分,EXERCISES只挑了几题做。书中的第9章和10章是网络上的章节,可惜原书并未收录,所以只是看看章节名而已。 不过也是从头到尾翻了一遍,这确实是本好书,甩国内绝大部分教材几条街,至此也是重新学了下线性代数了。
评分由于时间和精力,只做了PRACTICE PROBLEMS部分,EXERCISES只挑了几题做。书中的第9章和10章是网络上的章节,可惜原书并未收录,所以只是看看章节名而已。 不过也是从头到尾翻了一遍,这确实是本好书,甩国内绝大部分教材几条街,至此也是重新学了下线性代数了。
评分后悔没有用这本书来入门,学习线代应该从直观的几何理解再到严谨抽象的代数概念。我的学习恰好反过来,数学系的高等代数严谨抽象,证明详细,对于入门来说,角度有些太高。这本书有着丰富的例子图像,以及线代在各个领域的实际应用,对于一些重要的定理也有粗略的证明,简直不要太棒!!
评分第一章基本读的它,后来转第四版了。但附录不错,有空学学说到的matlab。
评分看到好评如潮有点意外,算是终于得到一个例证吧。(题外话,怪不得教授怎么讲我都觉得不如看书好…………
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