Linear algebra problem book paul halmos obituary

Paul halmos thinks so, and you will too once you read this book. Linear algebra problem book dolciani mathematical expositions by paul richard halmos paperback, 349 pages, published 1995. Linear algebra problem book dolciani mathematical expositions. It takes the student step by step from the basic axioms of a field through the notion of vector spaces, on to advanced concepts. Paul halmos, 19162006, in a glimpse at hilbert space operators. From his 1985 retirement from indiana until his death, he was affiliated with the. Linear algebra problem book book king county library. My first suggestion would have been schaums outline. Paul halmos s finitedimensional vector spaces 6 and ho man and kunzes linear algebra 8. Good set of exercises with solutions for linear algebra. Buy linear algebra problem book dolciani mathematical expositions by paul r. He was also recognized as a great mathematical expositor. Definitions of concepts named for paul richard halmos can be found here. The techniques taught are meant to be generalizable to the infinite dimensional cases i.

Advanced level books may not be a good source for study. Its in the dolciani mathematical expositions series published by the mathematical association of america. Master expositor paul halmos presents linear algebra in the pure axiomatic spirit. Halmos is able to cover a massive amount of material in a short time, though i think the book could have benefitted from a bit more abstraction. The linear algebra problem book is an ideal text for a course in linear. Betst linear algebra books i would suggest starting with a basic level textbook and then put more effort on one or two intermediate level textbooks.

It is written in a conversational style and has both hints and solutions at the back of the book. Linear algebra problem book can be either the main course or the dessert for someone who needs linear algebra and nowadays that means every user of mathematics. Halmos published and distributed by the mathematical association of america. The book broke ground as the first formal introduction to linear algebra, a branch of modern mathematics that studies vectors and vector spaces. This is the most beautiful linear algebra textbook ever written, a joy to read, by wit and clarity never surpassed even by its remarkable author himself. A linear algebra problem book mathematical association. Like halmo s book linear algebra problem book, this provides the reader with truly amazing insights. Buy finitedimensional vector spaces book online at low. Problem book on linear algebra mathematics stack exchange. These notes do assume that the reader has a good working knowledge of basic algebra. Paul richard halmos 19162006 is known for his work in operator theory, ergodic theory. It operates by looking at specific examples usually matrices, sometimes vector spaces to derive some conjectures and generalizations and then asking the reader to prove or disprove these. Can one learn linear algebra solely by solving problems.

Paul halmos died on october 2, 2006, at the age of 90. Buy linear algebra problem book dolciani mathematical expositions by halmos, paul r. Linear algebra problem book, dolciani mathematical expositions. That is why his books and expository articles are so wonderful. Buy linear algebra problem book dolciani mathematical. Among the dozens and dozens of linear algebra books that have appeared, two that were written before \dumbing down of textbooks became fashionable are especially notable, in my opinion, for the clarity of their authors mathematical vision. It takes the student step by step from the basic axioms of a field through the notion of vector spaces, on to advanced concepts such as inner product spaces and normality. However since you have gone through that already, another book i am quite fond of which i think covers a good portion of the topics you mentioned is linear algebra problem book by paul halmos. Even if the reader prefers more recent books, i would highly recommend to use this as a supplement. Linear algebra problem book 1995, by paul r halmos, the mathematical gazette 81 490 1997. It takes the student step by step from the basic axioms of a field through the notion of vector spaces, on to advanced concepts such as. Click to read more about linear algebra problem book by paul r.

So im going with speculation here in terms of what i think. Very few formal prerequisites are needed to read this, but some mathematical maturity is necessary. It can be used as the basis of either an official course or a program of private study. References for paul halmos mactutor history of mathematics. You simply cant go wrong with it, although it must be said that more modern treatments of linear algebra could be more appropriate. Paul r halmos can one learn linear algebra solely by solving problems.

Clara university 19851996, where he was professor emeritus until his death in 2006. March 3, 1916 october 2, 2006 was a hungarianborn american mathematician and statistician who made fundamental advances in the areas of mathematical logic, probability theory, statistics, operator theory, ergodic theory, and functional analysis in particular, hilbert spaces. Logic as algebra, by paul halmos and steven givant, the. This text treats linear algebra much more formally than it is usually treated. Another book that has answers to exercises is jim hefferons linear algebra, which is freely available online, but i personally have not read it. Preface here are my online notes for my linear algebra course that i teach here at lamar university. Linear algebra problem book 1995, by paul r halmos, the. The linear algebra problem book is an ideal text for a course in linear algebra. Finitedimensional vector spaces by paul halmos is a classic of linear algebra. And theyve generally been isomorphic the same and not particularly inspiring.

Linear algebra problem book dolciani mathematical expositions by halmos, paul r. Halmos has a unique way too lecture the material cover in his books. Halmos equally enjoyable companion linear algebra problem book, published by ama, 1995, is a bonus icing on the cake. Paul richard halmos was a hungarianborn american mathematician and statistician who. This book develops linear algebra the way mathematicians see it. Finite dimensional vector spaces combines algebra and geometry to discuss the threedimensional area where vectors can be plotted. Paul richard halmos, who lived a life of unbounded devotion to mathematics and to the mathematical community, died at the age of 90 on october 2, 2006.

These methods are now related with the idea of a dual algebra. All of this occurs by way of a series of 164 problems, each with hints and, at the back of the book, full solutions. All of this occurs by way of a series of 164 problems, each with hints and, at the back of the. Linear algebra problem book 1995, by paul r halmos. Linear algebra problem book ross honsberger download. Librarything is a cataloging and social networking site for booklovers. Despite the fact that these are my class notes they should be accessible to anyone wanting to learn linear algebra or needing a refresher. Basic introduction to linear algebra 5th edition by gilbert strang this is an erudite and discursive introduction to linear. The book brought him instant fame as an expositor of mathematics. Everyday low prices and free delivery on eligible orders. Give linear algebra problem book by paul halmos a try.