Linear Algebra

by Kenneth M. Hoffman, Ray Kunze

This introduction to linear algebra features intuitive introductions and examples to motivate important ideas and to illustrate the use of results of theorems. Linear Equations; Vector Spaces; Linear Transformations; Polynomials; Determinants; Elementary canonical Forms; Rational and Jordan Forms; Inner Product Spaces; Operators on Inner Product Spaces; Bilinear Forms For all readers interested in linear algebra.

Genres: Mathematics, Textbooks, Algebra, Nonfiction, Academic, Science, Reference

407 pages, Hardcover

First published April 15, 1971

Reviews

[Matan Algebri · Rating 4 out of 5]

Pros:
Good rigorous book.
It is good for more advanced look of linear algebra.

Cons:
No visual understanding.
Even in the inner prod. Spaces section.
Not a single picture.
A bit outdated, didn't use quotient spaces for the Jordan form proof.

[Giovanni Alberto Orlando]

May be complex for a new student of Linear Algebra

[Mohammad Rashidi · Rating 5 out of 5]

Solution can be found here
https://linearalgebras.com/solution-h...

[Meysam Ganji · Rating 5 out of 5]

اولین تجربه‌ی من در جبر خطی با این کتاب شروع شد. هنوز یادم‌ه چطور گیج بودم و چطور نمیتونستم المان‌ها رو بهم وصل کنم و چقدر با این کتاب و مفاهیم کلنجار رفتم و زندگی کردم تا کم‌کم تونستم با جبر خطی دوست شم. این کتاب رو خیلی دوست دارم. رفیق روزهای شادی و غم‌م بوده :).

[Jake · Rating 3 out of 5]

Every mathematician looks back fondly on their time with this classic. Slight hints of existentialism in the sense that so much is regarded as trivial. Reading Hoffman and Kunze will not give you meaning, but it will show you how to find it.

[Pratik Jeware]

damn good!

[Gita · Rating 4 out of 5]

ما برای درس «مبانی ماتریس‌ها و جبر خطی» دو فصل اولش -یعنی فصل ماتریس‌ها و فضای برداری- را خواندیم. خیلی درس دوست‌داشتنی‌ای بود. گمانم حداقل سه‌بار این دو فصل را خواندم. خود کتاب انگلیسی، ترجمه‌ی فارسی‌اش، و حل تمرینش را. دیروز پایانترمش را دادم و هیچ بعید نیست بیست بگیرم! :دی

دانستن این نکته که هر ماتریسی قابل تبدیل به یک ماتریس سطری-پلکانی‌است (که یعنی هر معادله‌ی خطی جواب دارد!) برایم واقعا جالب و امیدبخش بود. کم‌کم دارم بزرگی دنیای عجیب و غریب ریاضیات را درک می‌کنم. انگار یک عده نشسته‌اند و با کمک هم یک داستان مهیج و منطقی را نوشته‌اند.

۱ تیر ۱۴۰۲

[Massimo Maimone · Rating 4 out of 5]

Un excelente libro de Álgebra lineal, pero muy difícil de entender.

[Alek Frohlich · Rating 4 out of 5]

I really liked the algebraic way it treats the subject.

[HikBook]

Algebra of polynomials

[Sabrina · Rating 2 out of 5]

this book lacks in many ways... it has shown it's age.
I don't like how it lacks visuals...
this book took out all of the beauty and intuition That linear algebra had... I've read multiple linear algebra books and I can say....
this has to be the worst linear algebra book I've ever read.

[Gage Hoefer · Rating 5 out of 5]

Great textbook- I wish there were more material on bilinear forms in the very last chapter, but honestly the amount of material that would have to be added could fill several books themselves. Definitely more algebraic in its approach, which I greatly appreciated.

[NicklausEB · Rating 5 out of 5]

Its a superb book. The treatment of multilinear functions is a nice addition.

[Mauve]

Linear algebra by Kenneth. Hoffman (1961)