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Linear Algebra (2nd Edition) [Hardcover]

Kenneth M Hoffman , Ray Kunze
4.2 out of 5 stars  See all reviews (27 customer reviews)

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Linear Algebra Linear Algebra
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Book Description

April 25, 1971 0135367972 978-0135367971 2

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.

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Linear Algebra (2nd Edition) + Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics)
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Editorial Reviews

From the Publisher

This introduction to linear algebra features intuitive introductions and examples to motivate important ideas and to illustrate the use of results of theorems.

Product Details

  • Hardcover: 407 pages
  • Publisher: Pearson; 2 edition (April 25, 1971)
  • Language: English
  • ISBN-10: 0135367972
  • ISBN-13: 978-0135367971
  • Product Dimensions: 1 x 6.6 x 9.4 inches
  • Shipping Weight: 1.6 pounds (View shipping rates and policies)
  • Average Customer Review: 4.2 out of 5 stars  See all reviews (27 customer reviews)
  • Amazon Best Sellers Rank: #147,498 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews
132 of 135 people found the following review helpful
5.0 out of 5 stars The Evolution of Linear Algebra October 6, 2007
As a professor of mathematics, I was recently assigned a section of our undergraduate linear algebra course; the last time I taught the course was twelve years ago. While doing the obligatory search for a course text, I have been surprised to see how the first course in linear algebra for mathematicians and scientists has "evolved" since I last taught it, at least insofar as that evolution is reflected through available and popular textbooks.

In one of the more popular linear algebra texts currently on the market (I will refrain from naming it), the formal definition of a vector space does not even occur until page 198, and this is not atypical. Looking through half a dozen of the more popular texts, one finds lengthy introductory chapters on vectors in R^n and their properties, basic matrix algebra, systems of linear equations, special algorithms for computing determinants and matrix inverses in efficient time, and significant space devoted to special matrix factorizations, such as the LU factorization. I would like to point out, without passing judgment, that this has not always been the case. Over time, the undergraduate course in linear algebra for mathematicians and scientists has evidently acquired a partial resemblance to the computational, non-proof-based course in "Matrix Algebra" that used to be offered to "casual users" of this area of mathematics at nearly all major universities.

Hoffman and Kunze's book was written for the undergraduate linear algebra course at MIT in the 1960s. Those of us who pursued graduate study in mathematics in the 1970s saw copies of this text, with its vivid purple stripes down the cover, on the shelves of virtually every serious graduate student.
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29 of 31 people found the following review helpful
5.0 out of 5 stars Not for the faint hearted, but worth the effort October 20, 2000
This is a fantastic book on linear algebra. Not only does it cover abstract vector spaces through the Jordan canonical form, but takes the reader through complex inner-product spaces and the Spectral Theorem as well. For the reader who has the mathematical sophistication, this is a great book. Excellent preparation for the student planning to attend graduate school.
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28 of 30 people found the following review helpful
5.0 out of 5 stars Best Linear Algebra Book but not for lay people March 1, 2004
I got this book for my Linear Algebra class about four years ago. This is a great book if you are getting a degree in mathematics. It won't help if you are just trying to get by the class and don't like math. It is not very practical but if you are looking for a real math book on Linear Algebra this is it. It contains a wealth of theorems that only a math lover would appreciate. If you really want to learn about Linear Algebra from a rigorous mathematical point of view this is it. This book taught me so much.
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24 of 26 people found the following review helpful
5.0 out of 5 stars A unique approach April 11, 2006
By R. Sun
This was the textbook they used to use at MIT in the past few decades. Virtually, however, nobody uses this book in a regular undergraduate course anymore. Instead of developing the ideas in the familiar context of the real numbers, Hoffman and Kunze give a more abstract (and general) discussion. For example, the theorems about determinants work in all commutative rings. The rigorousness and the wealth of information are overwhelming for most undergraduates to handle. You will not learn anything if you just glance through the pages. Every line requires deep thought. Down-to-earth applications are not included. So I do not recommend this book for engineers.
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16 of 18 people found the following review helpful
5.0 out of 5 stars Best intro to linear algebra I've seen. February 10, 2005
I simply loved this book. Hoffman and Kunze have written a very sturdy book that begins with the most basic concepts of linear algebra(such as echelon form) and goes through cannonical forms, inner product spaces, and Bilinear forms. The proofs are complete and at an appropriate level for a first look at the subject. Perhaps one of my favorite aspects of this book was the treatment of dual spaces and tensors. It seems many linear texts deal with one subject or the other but rarely do I see both subjects dealt with in the same book.

The only non-positive comment I would like to make about this book is that its beauty is not in its appearence. When you open the book and flip through the pages you feel a little uneasy. The typeset looks uninviting. Take heart! The beauty of the book lies in its content. Give it a thorough chance, and I don't think you will be disapointed

I highly recomend this book for both learning and reference.
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10 of 11 people found the following review helpful
5.0 out of 5 stars NC-17. For Adults Only. August 21, 2004
I studied this book between undergraduate school and graduate school in mathematics. It puts linear algebra on a rigorous foundation. I solved hundreds of the problems and found it enjoyable and intellectually satisfying. Before tackling this book, I would suggest the reader get an exposure to matrices and related ideas from something a little more concrete.

A strong grasp of vector spaces is essential for anyone who wants to do mathematics. The study of this book will give you that understanding.
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9 of 10 people found the following review helpful
5.0 out of 5 stars Linear Algebra February 8, 2007
This book is very rigorous and detailed. This book covers what usually is covered in 2 semesters of Linear Algebra, it covers introductory and advanced Linear ALgebra. I would not recommend it for someone who has not ever seen Linear Algebra because of the lack of concrete examples although I would highly recommend it for someone who has had Linear Algebra. This book is all the Linear Algebra you need up to a Master's degree in Mathematics. For Linear Algebra beginners I would recommend the following 2 books because no one book is good enough : "Elementary Linear Algebra" by Robert S. Johnson; and "Linear Algebra 3rd edition" by Fraleigh. Please see also "Linear Algebra, an applied first course 8th edition" page 447 for those of you intersted in Differential Equations.
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Most Recent Customer Reviews
5.0 out of 5 stars Great Condition
This book was in very good condition it looked brand new with no markings, no torn pages, great cover. I was very happy with this product!
Published on July 10, 2012 by rm_o
5.0 out of 5 stars Excellent Book for Math Majors
I used this book in a Linear Algebra II course. I will admit at first I loathed Hoffman and Kunze. To say that it was drastically different and more difficult from my first Lin Al... Read more
Published on June 30, 2012 by Karl Gross
5.0 out of 5 stars This quintessential text is worth the effort
If you're looking for the kind of math book that will hold your hand along the way with cute diagrams and superfluous examples, you should probably look elsewhere. Read more
Published on June 5, 2011 by W. G. Merrill
5.0 out of 5 stars A great reference for linear algebra
I've given this book 5 stars, but I would like to qualify that by saying that if a scale of 10 were available I would give it 9 out 10. Read more
Published on May 19, 2011 by svenkatr
5.0 out of 5 stars Best Underrated Linear Algebra Book
So we all hear stories of how Axler sought to change the curriculum of Linear Algebra by Gaussian elimination of determinants as a basis for teaching Spectral Theory, but he... Read more
Published on May 4, 2011 by darkprince117
5.0 out of 5 stars Classic text on "Vector Space Linear Algebra"
I remember taking this course many years ago and liking the course and this book. Although 40 years old, Hoffman and Kunze remains a classic text in applied mathematics. Read more
Published on February 8, 2011 by Chad R. Bhatti
3.0 out of 5 stars It's decent, but overrated
I will start with the positives of this book:

This book seems to cover all of the right material that an undergrad must know. Read more
Published on December 4, 2010 by U of M Math Student
5.0 out of 5 stars Bible on the subject
I have used this book as the textbook for a Linear Algebra discipline. It is considered the "reference" for that discipline in my institute. Read more
Published on March 11, 2010 by L. Nogueira
5.0 out of 5 stars A Beautiful Mathematics Book
A comphrensive introduction to the subject of linear algebra that every undergraduate should read. This book explains in detail the concepts that make up linear algebra and will be... Read more
Published on January 22, 2007 by David Von Rudisill
5.0 out of 5 stars Another Striking Review by Captain Obvious
This book is the second edition. If I've done the math correctly, and I think I have, this is the edition that, sequentially, comes after the first edition. Read more
Published on February 27, 2006 by Captain Obvious
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