Free PDF Finite-Dimensional Vector Spaces Second Edition
Yeah, hanging around to check out guide Finite-Dimensional Vector Spaces Second Edition by on the internet can likewise offer you favorable session. It will relieve to stay connected in whatever condition. Through this could be much more interesting to do and also much easier to review. Now, to obtain this Finite-Dimensional Vector Spaces Second Edition, you could download in the web link that we give. It will help you to obtain very easy means to download the publication Finite-Dimensional Vector Spaces Second Edition.
Finite-Dimensional Vector Spaces Second Edition
Free PDF Finite-Dimensional Vector Spaces Second Edition
Visualize that you obtain such specific remarkable experience and also expertise by simply reviewing a publication Finite-Dimensional Vector Spaces Second Edition. How can? It seems to be greater when a publication can be the ideal point to find. Publications now will appear in published and soft documents collection. Among them is this book Finite-Dimensional Vector Spaces Second Edition It is so usual with the printed e-books. However, numerous people often have no space to bring guide for them; this is why they cannot read guide any place they really want.
It is not secret when connecting the creating abilities to reading. Reviewing Finite-Dimensional Vector Spaces Second Edition will certainly make you get even more sources and sources. It is a manner in which could enhance how you overlook and comprehend the life. By reading this Finite-Dimensional Vector Spaces Second Edition, you could greater than just what you receive from other publication Finite-Dimensional Vector Spaces Second Edition This is a widely known publication that is published from well-known author. Seen type the writer, it can be relied on that this publication Finite-Dimensional Vector Spaces Second Edition will certainly offer several inspirations, about the life as well as experience as well as everything within.
Finite-Dimensional Vector Spaces Second Edition as one of the referred books that we will certainly offer in this web site has actually been examined to be one legitimate source. Even this subject prevails, the means how author makes it is really eye-catching. It can bring in individuals that have not feels for reviewing to start reading. It will make somebody fond of this publication to check out. As well as it will certainly instruct somebody to earn better choice.
It will certainly believe when you are visiting pick this book. This motivating Finite-Dimensional Vector Spaces Second Edition publication can be reviewed totally in particular time depending upon exactly how frequently you open up and also review them. One to bear in mind is that every publication has their very own manufacturing to acquire by each visitor. So, be the good visitor and also be a better person after reviewing this book Finite-Dimensional Vector Spaces Second Edition
Your recently viewed items and featured recommendations
›
View or edit your browsing history
After viewing product detail pages, look here to find an easy way to navigate back to pages you are interested in.
Product details
Hardcover
Publisher: Springer-Verlag (1974)
ASIN: B000LZHUZW
Package Dimensions:
9.1 x 6 x 1 inches
Shipping Weight: 1.2 pounds
Average Customer Review:
4.2 out of 5 stars
30 customer reviews
Amazon Best Sellers Rank:
#3,729,576 in Books (See Top 100 in Books)
Halmos's FDVS is a classic undergraduate text. The second edition of this text (1958, Van Nostrand) is an excellent text which deserves five stars.However, the Martino Publishing edition (2012) in question is a reprint of the preliminary 1942 Princeton University Press edition. While of historical value, the typesetting of this text (done in typewriter) makes it a challenge to decipher. For instance, the Script and Fraktur letters are written in by hand!If you are buying this for a class, this is definitely not the edition you are looking for!On the other hand, the 2nd edition, reprinted by Benediction Classics (2015), with ~200 exercises and beautifully typeset (by 1958 standards) is a true gem. Linear algebra (despite the almost trivial first impression it might give you) is a difficult and subtle subject. It's easy to miss these things when most introductory classes treat it as if it is synonymous with the study of matrix algebra and determinants. Despite having an introductory linear algebra course (semirigorous with some technical definitions and proofs) and graduate matrix computation course under my belt, I didn't understand the true nature of the subject until I studied from this book (as part of a real analysis course).The emphasis this text places on the coordinate-free (abstract linear algebra) point of view shows you how a mathematician would think about this elementary and classical subject, in light of its modern generalizations (most notably Banach and Hilbert spaces), which form a large part of functional analysis and the theory of linear operators, in particular. The author's main goal was to draw an analogy between the finite-dimensional theory (the subject of this book) and its infinite-dimensional generalizations, of benefit to both novices in terms of their future studies and someone reading the book for review who has already studied the latter.In spite of these praises, this book is admittedly not the most appropriate exposure to higher-level math, though all the proofs are "elementary". Without some appreciation of its applications (either in a pure or applied math setting), the beginner won't see importance of studying linear transformations and subspaces. The most natural setting for learning this material might be during or just before a course in real analysis of several variables. Only then does the importance of linear maps become obvious.Compared to its modern competitor, Axler's Linear Algebra Done Right, FDVS assumes some degree of mathematical maturity, whereas Axler starts by teaching the reader the basics of writing a proof. The newer editions of Axler cater even more to the complete beginner, with a bunch of colors and pretty pictures. (If you need colors and pretty pictures, pure math is probably isn't for you!) Moreover, Axler has this weird obsession against the determinant, a perfectly legitimate coordinate-independent function of a finite-dimensional linear operator, IMHO. And as stated above, I don't think linear algebra is the best setting to introduce mathematical rigor, since it's not a flashy field: its results often appear trivial, boring, or both to the beginner (even though neither claim is actually justifiable on further study.)The other textbook of comparable coverage is Hoffman and Kunze, much longer, because it tries to include and give a balanced presentation of both the computational and coordinate-free approaches. However, it only makes sense to use a long book (>400 pages) covering both approaches when you have the luxury of a year-long course, and there is enough time to do justice to both.tl; dr, for the student with a moderate undergrad abstract math background, FDVS is an enlightening presentation of linear algebra the way a pure mathematician sees it. Though on balance better than its modern counterparts, as a word of warning, some notation and terminology are dated, since the text is almost 60 years old!
I love this book. It could use more problems, but I went elsewhere(Lang, schaums, etc.)It is to LA as Rudin is to Analysis, or Spivak is to "Calculus on Manifolds"I do love this book for its terseness. The subject is very well described, although I definitely think some subsections have no motivation. Lectures on Linear Algebra, is a good book to supplement for theoretical content.
I was looking for a book that would help bridge the gap between the linear algebra courses taught in the now typical undergraduate style (think LA for engineers) and the type of finite-dimensional LA that is expected as a prerequisite in upper division analysis and abstract algebra courses. Reading many of the favorable reviews of this book I thought I found that bridge. I was a little disappointed. The tone was perhaps a little too informal and there was still a fairly noticeable abstract-leap from my "LA for engineers" course. There is too much of an assumption by the author that the reader has been exposed to advanced topics in mathematics beyond perhaps a very introductory course in real analysis.I do not think this gap is really a fault of the author, than merely a reflection of the very different direction that the teaching undergraduate mathematics has taken since the author published this book. A much more accessible treatment of finite-dimensional spaces is "Linear Algebra Done Right" by Axler. Axler's book really does a much better job of helping a student of mathematics make the transition from "LA for engineers" to the LA of upper division math courses.
This book is NOT an introductory linear algebra text. For that see Linear Algebra Done Right (assuming the reader is familiar with Boolean algebra and has had a course in discrete mathematics). That said, this book serves as an incredible reference, covering a wide range of topics, and developing the theory without the egregious use of matrices and determinants. The proofs are often different (when given) than the usual proofs given in other texts. The exercises are numerous and instructive, although rarely difficult (that is not to say they won't make you think). Many interesting results are given in exercises rather than the text, and the proofs for most corollaries of main theorems are left to the reader.Downsides: Terse, very little explanation. This is why I recommend (and use) this book as a reference. No solutions (I prefer it this way, but hints would be nice for some of the exercises).Overall: The breadth of the material is simply incredible at such a great price. Halmos is a celebrated mathematician whose style is well worth studying. Perfect for advanced study / general linear algebra reference.
This text seems to be the progenitor of several of the other texts on my shelf. For example Axler's Linear Algebra Done Right and Lang's Linear Algebra. All these texts take an operator approach to the subject at the beginning. In particular Halmos has written a compact, pictureless treatment of Linear Algebra that is punctuated with thoughtful execises. The text treats Linear Algebra exclusively, with no mention of non-mathematical applications. It easily contains material for 2 quarter courses, or even a full year, if it is augmented with applications from diverse areas. It is an excellent reference for graduates, but I would not recommend it for an undergraduate text unless the audience is mathematically mature.
Great book.
Halmos is a great reference for those who know the material. Its a short book but if you just need a reminder of what a certain property is or how to apply a theorem, this will have it. Not necessarily an intuitive approach to Linear algebra though.
the whole book is fantastic. The best is def. of Det , the weakest quotient spaces
Finite-Dimensional Vector Spaces Second Edition PDF
Finite-Dimensional Vector Spaces Second Edition EPub
Finite-Dimensional Vector Spaces Second Edition Doc
Finite-Dimensional Vector Spaces Second Edition iBooks
Finite-Dimensional Vector Spaces Second Edition rtf
Finite-Dimensional Vector Spaces Second Edition Mobipocket
Finite-Dimensional Vector Spaces Second Edition Kindle