Linear Algebra Done Right

Posted on 05 December 2018 by Sheldon Axler

This text for a second course in linear algebra is aimed at math majors and graduate students The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra understanding the structure of linear operators on vector spaces The author has taken unusual care to motivate concepts and to simplify proofs For example, the book presents without having defined determinants a clean proof that every linear operator on a finite dimensional complex vector space or an odd dimensional real vector space has an eigenvalue A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra This second edition includes a new section on orthogonal projections and minimization problems The sections on self adjoint operators, normal operators, and the spectral theorem have been rewritten New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text. New Read Kindle ePUB Linear Algebra Done Right By Sheldon Axler – kino-fada.fr Excellent textbook for a second look at linear algebra from a strictly theoretical standpoint It size is small enough so that one may comfortably carry it around and promptly, effortlessly smack around fools that utter linear algebra that s just y mx b LOLZ Their education is the responsibility of us all, and how often we forget the old waysThe proofs are clear but do require the reader to fill in some gaps This is intended Open to any page and witness the clarity that so ofte Excellent textbook for a second look at linear algebra from a strictly theoretical standpoint It size is small enough so that one may comfortably carry it around and promptly, effortlessly smack around fools that utter linear algebra that s just y mx b LOLZ Their education is the responsibility of us all, and how often we forget the old waysThe proofs are clear but do require the reader to fill in some gaps This is intended Open to any page and witness the clarity that so often escape the best efforts of a certain class of instructor Axler will not suffer any unmotivated concepts Everything builds from previous definitions until there s just enough structure to flesh out the chapter objectives, thus there s little fat distract the reader Moreover, Axler is so badass that he does away with determinants until the last chapter of the book, he s so pimp he just didn t need any stinking determinants in his proofs That s right, the last chapter introduce...This book was a real page turner Great approach towards linear algebra Sheldon Axler doesn t introduce determinants until the end, which was a true delight in my opinion because it surely kept me reading until the very last chapter in order to learn about those nasty determinants The section about Jordan Canonical forms had me hooked for days The way the Jordan bases were formed was absolutely mind blowing I did not see it coming at all Axler truly outdid himself with this one The book de This book was a real page turner Great approach towards linear algebra Sheldon Axler doesn t introduce determinants until the end, which was a true delight in my opinion because it surely kept me reading until the very last chapter in order to learn ...This was the textbook used in my undergraduate theory of linear algebra course taught by Seymour Goldberg, so you know the relevant view It does have the nice property, basically shared with Lax s book, that it s clearly a book about linear algebra in general finite dimensional linear spaces, and not a mix of some linear algebra, some matrix an...This is a great second book on linear algebra something you might want to read once you read a foundation text on linear algebra first It is a full color book which makes the book rather expensive It s not a large book, but it s packed with just the right explanations and amount of theory to get you to understand themathematical aspects of linear algebra the topics of spaces, linear maps and related theorems and concepts The book is very accessible, has plenty of exercises no solut This is a great second book on linear algebra something you might want to read once you read a foundation text on linear algebra first It is a full color book which ...This is how linear algebra should always be presented The unfortunate presentation one first encounters that emphasises matrices and determinants without appeal to the algebra and geometry that motivates them is absent from this text It is a full presentation that will give you an...Fantastic introduction if you ve already been introduced The idea of not introducing the determinant is fine, but it makes the practice part somewhatdifficult In particular, it s usually pretty easy to prove a small matrix is invertible using the determinant Not as easy without.I really like this text It s a nice complement to Halmos, which is curious as Halmos was Axler s advisor.Excellent book Author s brilliance is reflected in this book An in depth vision for mathematics for linear algebra made me fluent in it You may need 3 months to finish this book Since I m a student at a college, it took me 1 year to finish but worth the time Must readIt s a nice book but I really don t understand why it goes to so much trouble to avoid determinants.From a purely aesthetic viewpoint there is something to be said for the approach, but in my experience teaching line...Very good book for linear algebra, one which attempts to avoid the rather unmotivated concepts of determinants to prove many important results The book focuseson operators which areabstract andgeneral than matrices themselves, providing easy proofs of theorems such as Cayley Hamilton or that operators in complex vector space always has an eigenvalue.The first two chapters are easy to grasp and it forces us to understand linear independence and basis without explicitly using ma Very good book for linear algebra, one which attempts to avoid the rather unmotivated concepts of determinants to prove many important results The book focuseson operators which areabstract andgeneral th...

English
05 December 2018

Sheldon Axler