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.
PCA这么重要的东西应该与SVD一样专门写一段,而不是放在“7.5 图像处理和统计学中的应用”底下当成普通例子来写。虽然这里PCA写的是真清晰真透彻,秒杀网上无数介绍。另外,SVD讲的太简略了,看完公式也抓不住本质。最好加入几何理解角度,并谈谈与PCA的异同。
评分看完之后我觉得这才是教材阿。。。 和这本书看起来差不多的还有一本叫《线性代数》,但是这本看起来更容易一些。比起其他满嘴跑概念公式的书籍来说,这本真是初学者的业界良心。。。 书中的内容由浅入深,逐步建立起线代的基本概念,从初学者的角度看,这个根本就不是罗嗦,而...
评分昨天在图书馆翻了翻"时间序列分析"的书,发现这东西还是很有用的,利用时间作为自变量来预测一个时间序列未来的值,比如,可以预测地震、天气、股票等等,由于它的自变量只有时间,所以感觉很神奇,几乎就是拿一个变量自己来做回归,称之为自回归AR(auto regression),另...
评分看过了介绍后,感觉比较适合我。 本书是一本优秀的现代教材,给出最新的线性代数基本介绍和一些有趣应用。
评分这看起来不是机翻吗?表述方式一毛一样...看的难受不?我是难受死了,原版不折磨人,感觉是不是机械工业出版社的翻译书水平都不大行...还是我买的书就不太好?继续看原版吧,勿喷我,hhh,我只是表达不满,只是我的看法哟.........................................
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评分2019s1: 手里三本不同的线代教材,这本最好懂,一周目quiz靠自学第一章拿了满分,通读一遍拿hd我觉得不是问题。2019年7月3日:考的还是挺好的,但毕竟不是学校推荐教材,学校的课程outline不是按这本教材走的。pro:这本书第五章开篇举的那个关于猫头鹰population dynamics的例子。con:关于linear transformation的内容太少。
评分2019s1: 手里三本不同的线代教材,这本最好懂,一周目quiz靠自学第一章拿了满分,通读一遍拿hd我觉得不是问题。2019年7月3日:考的还是挺好的,但毕竟不是学校推荐教材,学校的课程outline不是按这本教材走的。pro:这本书第五章开篇举的那个关于猫头鹰population dynamics的例子。con:关于linear transformation的内容太少。
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!!
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