Get Free Ebook Finite-Dimensional Vector Spaces

by - Juni 04, 2012

Get Free Ebook Finite-Dimensional Vector Spaces

Many individuals who are successful and also clever have good analysis habit. Also their analysis products are various. When you are diligent enough to do reading everyday, even couple of minutes in your leisure, your success and eminence will certainly create. Individuals that are taking a look at you could be admired regarding exactly what you do. It will provide little bit self-confidence to enhance. So, when you have no suggestion about just what to do in your leisure time now, let's examine to the link to get the Finite-Dimensional Vector Spaces as well as review it sooner.

Finite-Dimensional Vector Spaces

Finite-Dimensional Vector Spaces


Finite-Dimensional Vector Spaces


Get Free Ebook Finite-Dimensional Vector Spaces

The certified traveller will have such favorite publication to check out. It is not type of publication that originates from preferred author. This has to do with exactly what the book consists of. When you require Finite-Dimensional Vector Spaces as your option, it will assist you in getting vital details. For tourist, business owner, physician, scientist, as well as many more celebrations will get both different much-loved or same publication recommendations.

Publication; however in the past time comes to be a sacral point to have by everybody. Numerous publications from thin to the really thick web pages exist. And now, for the innovation has developed advanced, we will certainly offer you guide not in the published ways. Finite-Dimensional Vector Spaces is among the items of those books. This publication version can be downloaded from the site web link that we give in this web site. We provide you not just the best publications from this nation, but several from outsides.

Asking why? You have actually seen that this site has plenty of terrific books from variant releases a libraries in the world. Getting a minimal version book is also very easy below. You can locate Finite-Dimensional Vector Spaces, as instance to be your turn and also your option now. Since, we will not hide anything regarding it here. We offer you all the best from Finite-Dimensional Vector Spaces that the writer produced particularly for you.

The book that we really recommended below will be offered to pick now. You might not have to find the various other methods or spend even more times to obtain the book somewhere. Just fin this web site and also look for the book. There are many people who read Finite-Dimensional Vector Spaces in their extra time. Why don't you become one of them?

Finite-Dimensional Vector Spaces

Product details

Paperback: 208 pages

Publisher: Benediction Classics (December 25, 2015)

Language: English

ISBN-10: 178139573X

ISBN-13: 978-1781395738

Product Dimensions:

6 x 0.5 x 9 inches

Shipping Weight: 12.6 ounces (View shipping rates and policies)

Average Customer Review:

4.2 out of 5 stars

30 customer reviews

Amazon Best Sellers Rank:

#823,100 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 PDF
Finite-Dimensional Vector Spaces EPub
Finite-Dimensional Vector Spaces Doc
Finite-Dimensional Vector Spaces iBooks
Finite-Dimensional Vector Spaces rtf
Finite-Dimensional Vector Spaces Mobipocket
Finite-Dimensional Vector Spaces Kindle

Finite-Dimensional Vector Spaces PDF

Finite-Dimensional Vector Spaces PDF

Finite-Dimensional Vector Spaces PDF
Finite-Dimensional Vector Spaces PDF

You May Also Like

0 komentar