Reviews (18)

Was very useful for algebra review
I needed to brush up on my algebra after some years away doing other things, and had three evenings for that. I found this text very helpful (but I had to spend five evenings in the end). First, it emphasizes the operator view of linear algebra, as opposed to the matrix view; second, the solved problems start with several concrete numeric examples and then move on to proving theorems, so you get practice in both; and third, it is reasonably abstract and succint which saves time if you know the subject but need a quick review.
Better than my texbooks
I have learned more about Linear Algebra from this single book than all my other assorted (and fairly expensive!) texbooks combined; and, for that matter, more than my college class on the subject too. I'm now studying Differential Geometry and I always have this book nearby (in addition to two other Shaum's Outlines: that of Vector Analysis and Differential Geometry). Every textbook has something to offer - at least I usually give them the benefit of the doubt ;-). But for gaining a "working knowledge" of abstract mathematical concepts, there's nothing so enlightening than studying the details of problem solving performed with delightful clarity by an expert in the field. In this book you can become the apprentice to Seymour Lipschutz as he reveals the mysteries that often form clouds in the minds of students of Linear Algebra.Frequently, when working in this text, I would suddenly understand something that seemed so complex or obscure in my other LA texts. Actually, I could then see what those other texts were attempting to convey but because of their particular styles, they were just a bit "pedagogically challenged" :-)
Decided not to use it because of too many typos
Regrettably I can only give a partial review of this book.From some of the other reviews, it looks like this may in fact be a decent text, but the number of errors I encountered in the answers to the first set of problems was so annoying that I decided not to continue using this book.By the third addition I would expect most errors to have been corrected, but that is not the case here. The errors I ran across appear to be mostly typos, and I can understand a book having some typos, but to have so many in the first set of problems was enough to make me look for another text.Another reviewer mentioned that the errors were obvious.True, they were, but it was still annoying and a waste of time to have to deal with.Also, the errors were obvious in the first chapter because it was all review material, but what about later chapters when the material would not be a review?It just wasn't something I was willing to risk.I've given the book a neutral three star rating since I can't thoroughly review it, but I'll let you decide if it's worth it to give the book a chance. ... Read more

Subjects:  1. Algebra - General    2. Algebra - Linear    3. Algebras, Linear    4. Linear Algebra    5. Mathematics    6. Outlines, syllabi, etc    7. Study Guides    8. Mathematics / Algebra / General   

Subjects:  1. Algebra - Linear    2. Continuous groups    3. Geometry - General    4. Mathematics    5. Science/Mathematics    6. Topological Groups    7. Geometry    8. Mathematics / General    9. Topology   

Reviews (42)

Shameful Plugs for Study Guide
Perhaps the most important questions at the end of each section are the true/false questions dealing with the concepts developed in the section. The computational problems are good for learning the algorithms but the true/false questions represent what you need to know.
Excellent Text and Reference
This is an ideal text, which serves as both a clear guide for the beginner and a valuable reference for the practicing professional. All points are very clearly and efficiently explained. Anyone should be able to understand this text.

Babble
I like Math, Not circler illogic.Took this course in 1997; while my professor was initially excited since he had known Lay, he soon simply shook his head in disgust, and said he needs to talk to his old friend. ... Read more

Subjects:  1. Algebra - General    2. Algebra - Linear    3. Algebras, Linear    4. Mathematics    5. Science/Mathematics    6. Linear algebra    7. Mathematics / Algebra / General   

Reviews (5)

An OK book
While its a very readable book I felt at times that the book leaved out some important details about certain topics. For example it gives an example and explains how to prove something yet gives no directions on how to disprove it, problems still require to do it. Another example later in the book is when it explains how to do something, shows an example, then mentions that some problems have multiple solutions but gives no directions on how to approach these kind of problems or how to make sure that you have all the solutions, you're on your own spending hours trying to put everything together.

Computation problems = 5 stars; Proof problems = 1 star; True/False problems = 3 stars
This was the textbook that my school has been using for its first and second year Linear Algebra courses. I found it somewhat terse. It seems like it could be a great book for someone already familiar with linear algebra or the logic aspect of mathematics; I don't recommend it for anyone who is not very familiar with proofs. Fortunately, it doesn't lack examples of how to solve computation problems and solutions to the odd-numbered problems are provided in the back of the book. Unfortunately, when it comes to the proof problems, instead of just providing the reader with the answer like most other texts, the author will either mention a hint or refer the reader to the study guide (mine came with a disk which has to be installed on a computer), which could be a problem for readers not familiar with how to do proofs. Serving as a somewhat of a mediator between these two extremes are true/false questions which accompany each chapter in each section of the text. While those start out somewhat fun in the beginning, they can also get tiresome and repetive very quickly. The solutions to these, like the proofs, are not provided, but fortunately, all one has to do is read the text carefully in order to determine the appropriate response.
underwhelmed
i'm not going to write 3 paragraphs about how much i love math, and what my fricking sat score was and how many A's i have as most nerds do when they review a math book.i am a math nerd too, but i'll keep the discussion to why i dislike the book (which will be short too, as i need to get back to studying it!)
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Subjects:  1. Algebra - General    2. Algebra - Linear    3. Algebras, Linear    4. Mathematics    5. Science/Mathematics    6. Textbooks    7. Linear algebra    8. Mathematics / Algebra / General   

Reviews (57)

Excellent Math Textbook
This is one of the best math textbooks I have come across. I used this book for two graduate level courses in Linear Algebra and found it wonderful. Strang divides Linear Algebra into 2 halves - the first half revolves around the solutions to the equation Ax=B and includes vector spaces and orthogonality. The second half is about eigenvalues and positive definiteness. The two halves are connected together by determinants. The book is very informally written and the author places emphasis on intuitive understanding rather than just proofs and equations. Highly recommended along with Strang's video lectures.

Excellent Linear Algebra book to supplement Prof Strang's Video lectures
Well, this book has a peculiar feature. It seems to be a good book when read alone. But if one reads this book along with Prof. Strang's video lectures from OCW MIT, it becomes the best book for linear algebra. The best way to learn a new subject is to learn from an authentic source. I strongly believe in the complete authenticity of this book to enrich Linear Algebra knowledge in the reader. This book is an exceptional resource for any engineering student irrespective of the discipline. I wish Prof. Strang writes more books on related areas and supplements them with his thoughtful video lectures.

This book is worth the Wronskian of two linearly dependentfunctions
I am sure he is an amazing mathematician, but I found this book to be the most horrible linear book I have ever seen. The text that was bolded and italicized was inconsistent and therefore very confusing especially in a book which employs bold face to denote specific mathematical qualities. Furthermore, the conversational style and lack of fluidity had a synergy that would drive even the craziest mathematician crazier. I would reco Lay's or Pooles or Bronson's (this might be my favorite because it is proof intensive). Again, he is a better mathematician than I will ever be, even if he was wasted, but I would not reco this book to any first semester linear student, go for one of the aforementioned authors. ... Read more

Subjects:  1. Algebra - Linear    2. Algebras, Linear    3. Calculus    4. General    5. Mathematics    6. Science/Mathematics    7. Textbooks    8. Linear algebra    9. Mathematics / General   

Reviews (18)

Beautiful Scaffolding
Linear algebra is the Babel language of sciences, this book helps you to get proficient in speaking it. Clear-cut presentation, mathematical rigor and historical gossip is in such an unison, that you'll crave for a sequel. This is the 18-th 5-star rating, you shouldn't hesitate any more!

One of the best introductory (modern) books I know.
If you need to learn Linear Algebra and Matrix Theory, your best starting point is this book.
a must buy...
Although titled as Matrix Analysis and Applied Linear Algebra, this book is one of the clearest treatments of pure linear algebra in general. Most of the theorems are proved and the proofs are very well motivated. There are no hand-waving arguments yet it is very easy to follow all the material contained. I also noticed that this book provides a smooth transition to introductory functional analysis for those who already possess the adequate real analysis background.
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Subjects:  1. Algebra - General    2. Algebra - Linear    3. Algebras, Linear    4. Linear Algebra    5. Mathematics    6. Matrices    7. Science/Mathematics    8. Calculus & mathematical analysis    9. Mathematics / Algebra / General    10. Mathematics for scientists & engineers   

Reviews (21)

A classic
In certain ways, this book has been both a bane and a boon to my career as a computational mathematician.Way back in 1989, I had the mixed experience of taking a course in Numerical Analysis from Brian Smith at the University of New Mexico.Prof. Smith taught that course exclusively from this book (actually, from the 2nd edition).As a college sophomore, I was terribly out of my depth, but I managed to do okay.Later, I had the opportunity to study under Gene Golub at Stanford, although I was certainly not one of his better students :)Naturally, Prof. Golub also taught pretty much exclusively from this book, by the way, he is a gifted mathematician and wonderful instructor, and a real gentleman.Between these experiences, I'd say I became extremely familar with the contents of this book.
The standard reference
First, this isn't Numerical Recipes. If you're looking for cut&paste code, you're just looking in the wrong place. This is for people who need a deep understanding of the computational issues, and are going to put a lot of time into an implementation. It's for people who are completely at ease with linear algebra, standard matrix-oriented problems, and dense mathematical notation.
Misbound
I ordered this book new but it was misbound, apparently during publication. In my first order, the book was missing the end of Chapter 12, had two indices, and had the final references buried in the middle of another chapter; the replacement book from Amazon had similar faults -- the end of chapter 12 was again missing, there was no index, and chapter four was in the place of the end of chapter 12.
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Subjects:  1. Advanced    2. Applied    3. Data processing    4. Mathematics    5. Matrices    6. Science/Mathematics    7. Linear algebra    8. Mathematical theory of computation    9. Numerical analysis   

Reviews (12)

A classic, richness in knowledge few books attempt anymore.
I used these books (Vols. 1&2) in my last two years of high school back in South America. I remember long nights of bad coffee and cigarettes locked in my room reading it over and over. The book is full of really cool knowledge (even for a non-mathematician). Most of today's students learn like little parrots, (without thinking or understanding) just repeating things mindlessly. This will make this book unpopular among these people because having to read a sentence and stop to figure things out on their own is too hard a challenge for them. I guess that like the high standard of the education of old when teachers loved teaching and their subject this book is also going the way of the dinosaurs. I'll get my copy before that if I were you though ;-)

A righteous calculus text
This one of the more righteous books in the author's oeuvre and that is saying something!The subject matter is closely akin to a course I took in Freshman year however it excludes manifolds and operatoins on them.In this respect, the book is not as good as some others out there for an integrated view that even a frosh can grasp.However, overlooking this shortcoming, the text is definitely righteous, being one of the few out there with this integrated approach and being a classic of sorts.

Very thorough, but very dense
I'm currently taking an honors calculus sequence at the U of WI, and have used this book and the first volume for the past three semesters.Needless to say, you have to take Apostol with a grain of salt.Although the no-frills style and lack of worked examples is upsetting to many students who are used to pictures, thorough examples, and color, these volumes cover a lot of material in a small space.And also beware; my professor and others in the math department have found errors in definitions and theorems, and the archaic notation is off-setting at times.Basically, if you're looking for straighforward information (written by a mathematician, for a mathematician), you've found the perfect book.If you're looking for an easy-to-read and understand book, keep searching. ... Read more

Subjects:  1. Calculus    2. Mathematical analysis    3. Mathematics    4. Science/Mathematics    5. Calculus of variations    6. Linear algebra    7. Mathematics / Calculus   

Reviews (5)

Not for the uninitiated
I bought this book hoping to learn about matrix analyis. I did not. Thisbook is simply a reference manual with plenty of theorems, axioms etc. withlittle explanation. They give it to you rough and row. NOT A SINGLE SOLVEDEXAMPLE, and not evensolutions for the exercises given in the book areprovided. If you intend to learn about matrix analysis, as I did, let notthe 5 stars review mislead you. Don't make the same mistake, this book isnot for you.

An encyclopedic reference for matrix analysis and linear alg
Horn and Johnson's MATRIX ANALYSIS is simply a masterpiece. You can findeach and every result in matrix analysis along with it's proof in thisbook. Look at their companion volume "Topics in Matrix Analysis"too. Some of these results cannot be found elsewhere.

Excellent book.... for the initiated
Horn and Johnson has written an excellent reference book onsomewhat-advanced linear algebra (from the point of view of an engineer).There's a lot of treasures in this book, but this book is NOT for beginninglinear algebra. Rather, it is written as a handy reference to review andlearn certain topics in linear algebra.Read more

Subjects:  1. Algebra - Linear    2. Linear Algebra    3. Mathematical Analysis    4. Mathematics    5. Matrices    6. Science/Mathematics    7. Mathematics / Algebra / General   

Reviews (19)

The way to learn algebra
Most critisism of the book are based in the fact that topic are not treated in deep, and the reason is that there is no need to do that. Lang's porpouse is to introduce the reader to HIGHER ALGEBRA, while for example Dummit & Foote just end in Category Theory or Homological Algebra. He just introduce what he consider necessary to know about groups. Of course, if your porpouse is to learn, let's say Group Cohomology, then its good for you to know as much as possible about groups, modules and stuff, but Lang's try to focus on what HE consider is important to be known.
4pro
It is one of the brilliant classics, must have for every advanced algebraist. Probably you will not find here such nouveau labyrinths of mathematical thought as in Beta Algebra by Algirdas Javtokas (which in my opinion is a revolutionary book), but it is unvaluable for seminars or supplementary material for algebra courses.

This book grows on you.
When I examined this book as an undergraduate I did not like it; often this is a sign that a book is poorly written, but in this case I just needed more background.Now I see this text as a gold-mine: clearly written, provocative, and rich in examples.
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Subjects:  1. Algebra    2. Algebra - General    3. Algebra - Linear    4. General    5. Group Theory    6. Mathematics    7. Science/Mathematics    8. Algebra Textbook    9. Mathematics / Algebra / General    10. Textbook   

Reviews (12)

Execllent Easy to Read
The examples in this book are great.All concepts in the text are explained clearly with many examples for the reader to review.I consider this text to be one of the best that I have used.This text is not only a great text to be used in the classroom, but it is so easy to understand that I also recommend this text for individual learning.

Okay if required, but
The Anton book appears to be the standard in teaching undergrad LA, but I personally didn't like it very much. Part of the problem is due to several misprints in the early chapters. Some of the definitions of basic concepts are confusing at best, wrong at the worst. I found myself relying on the Hubbard-Hubbard "Vector Calculus, Linear Algebra, and Differential Forms" to get through the course. The explanations were more concise and easier to understand. If you're teaching yourself, Hubbard-Hubbard is the way to go.

Okay if required, but
The Anton book appears to be the standard in teaching undergrad LA, but I personally didn't like it very much. Part of the problem is due to several misprints in the early chapters. Some of the definitions of basic concepts are confusing at best, wrong at the worst. I found myself relying on the Hubbard-Hubbard "Vector Calculus, Linear Algebra, and Differential Forms" to get through the course. The explanations were more concise and easier to understand. If you'r eteaching yourself, Hubbard-Hubbard is the way to go. ... Read more

Subjects:  1. Algebra - Linear    2. Algebras, Linear    3. Linear Algebra    4. Mathematics    5. Science/Mathematics    6. Mathematics / Algebra / Linear   

Reviews (21)

Great Book!
This book is great.I used it for a second course in linear algebra.I can really say that I understand the subject now, which I definitely couldn't before.The material is presented in a readable and yet rigorous and abstract fasion.My only problem with this book is that it leaves so many proofs to exercises and doesn't give the answers to most exercises.

blows you away
This book blew me away! it's just great, it really explains everything (also an axiomatic approach of determinants which is very important to gain a thorough understanding of what determinants actually mean and which will help you when you are going to study multilinear algebra, exterior algebras in abstract algebra etc), the book gives you a good insight in the stucture of linear operators on a finite-dimensional vector space and provides lots of examples and useful applications (e.g. in economics and physics). There was a comment of one customer which criticized the fact that the theory doesn't offer an explanation of quotient spaces, this is true but in fact this is not important in the area of linear algebra, quotient structures should be studied in abstract algebra, when more algebraic structure has been developed so that one can really understand what quotients of algebraic structures are about. So the book is great, but I would recommend some knowledge about polynomials, fields, algebraic closure, vector space before starting to read this one.

Excellent!
I am an undergraduate taking a linear algebra course. The course does not use this book, but my friends introduced this book to me and I simply love it.
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Subjects:  1. Algebra - Linear    2. Algebras, Linear    3. Linear Algebra    4. Mathematics    5. Science/Mathematics    6. Mathematics / Algebra / General   

Reviews (15)

A Pleasure to Read
First of let me state that I own the 2nd edition of this book, and that I am a doctoral student in computational physics.
Revolutionize the way calculus is taught
This is the textbook used for the math 223/224 Theoretical Calculus and Linear Algebra sequence in Cornell University. The book is designed for prospective math students. Although the book mainly follows a rigorous development of the theories of multi-dimensional calculus, the mathematical machinery used in developing the theories is immensely broad, especially in linear algebra. The book covers most of the standard topics in a first semester linear algebra course and touches on many other areas of mathematics such as, real and complex analysis, set theory, differential geometry, integration theory, measure theory, numerical analysis, probability theory, topology, etc. The highlight of the book is its introduction of differential forms to generalize the fundamental theorems of vector calculus. The author is not the first one who follows this path. There are many other books written before this one that have similar approach, such as Calculus On Manifolds by Spivak, which was written 40 years ago and was too old to suit modern students.
Confusing book
Math and Physics major
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Subjects:  1. Algebra - Linear    2. Algebras, Linear    3. Calculus    4. Linear Algebra    5. Mathematics    6. Science/Mathematics    7. Differential equations    8. Mathematics / Calculus    9. Vector & tensor analysis   

Reviews (1)

A great reference source for advanced matrix analysis
Horn and Johnson's MATRIX ANALYSIS AND TOPICS IN MATRIX ANALYSIS are trueclassics (like Knuth's Art of Computer Programming). You will find classictheorems and lemmas in matrix theory and linear algebra here along withtheir proofs (some of these are not found elsewhere).Read more

Subjects:  1. Algebra    2. Mathematical Analysis    3. Mathematics    4. Matrices    5. Probability & Statistics - General    6. Science/Mathematics    7. Linear algebra    8. Mathematics / Algebra / General   

Subjects:  1. Algebra - Linear    2. Business & Economics    3. Business/Economics    4. Counting & Numeration    5. Finance    6. General    7. Mathematics    8. Asset allocation    9. Bayesian statistics    10. Business & Economics / Finance    11. Investment & securities    12. JEL classification: C1, C3, C5, C6, G0, G1    13. MSC (2000) 15-xx, 46-xx, 62-xx, 65-xx, 90-xx    14. Risk assessment & analysis for business    15. estimation risk    16. performance evaluation   

Reviews (10)

A lifesaver
As a computer science graduate student without the proper math background, I've been cramming mathematical concepts into my brain for the last few years.And this book, every time, has provided the most lucid, digestable and yet usefully rigorous explanation I have found for whatever concept I'm learning.The four-page explanation of Markov chains, pp. 217-220, e.g., seems very hard to top.The thing is, in CS especially perhaps, you learn to use math as a tool when you have that "ah-hah" moment of intuition.When you get the idea of what *the point* of the particular mathematical tool is.Then you can apply it and use it to think about other problems you might want to solve.Math as a way of thinking.Which is where the clarity of writing and explanation in this book comes through for you.Which is not to say the problems aren't excellent as well, because they are, and you have plenty of opportunity to practice the manipulations associated with a given concept as well.I can't recommend this book enough.

The best Linear Algebra book. ever!
This is a must have for math lovers. the book has colourful graphs and interesting equations and in addition it has interesting problems for the whole family to solve... If you're here to buy the book for your course, it has the answers in the back for those who don't understand math. Nice book to look at when you're in the Linear algebra class. Pure fun!

Great Reference Text!!
If you want a great text on linear algebra either for study or as a reference in your office, then this is it.Obviously, by the remarks of other reviewers, it seems other folks agree.It is well written, easy to follow, targets a large audience (students and professionals), and has very good examples.What more could you ask for in a linear algebra text?If its not a required text, then consider it as a supplemental text...if money is available. ... Read more

Subjects:  1. Algebra - Linear    2. Algebras, Linear    3. Calculus    4. Mathematics    5. Science/Mathematics    6. Mathematics / General   

Reviews (3)

Excellent work
We used this book to prove a theorem in our studies that is directly related to my PhD thesis on spatial data mining and spatial statistics. This book is a master-piece.
Wonderful Book
This is one of my favorite books in my library on this subject. Also I have used this book for my class as main textbook along with "Iterative Methods for Solving Linear and Nonlinear Equations" by C. T. Kelley , which is another SIAM book.
Great Book
This is a great book for this subject.The book is easy to follow and Saad does a wonderful job ofillustrating with examples.This is a great textbook or a book for reference.This book does a particularly good jobwith Krylov methods and does a reasonable job with preconditioning. ... Read more

Subjects:  1. Algebra - Linear    2. Differential equations, Partia    3. Differential equations, Partial    4. Iterative methods (Mathematics    5. Iterative methods (Mathematics)    6. Linear Programming    7. Mathematics    8. Matrices    9. Numerical solutions    10. Science/Mathematics    11. Sparse matrices    12. Algebra    13. Applied mathematics    14. Mathematics / Mathematical Analysis   

Reviews (3)

Took a course from this book
I took a course out of this book last semester and I suffered greatly.An assignment of 5-10 problems can be expected to take an average student upwards of eight hours.The text is disorganized (as a previous reviewer noted) and more important, overly formal.Mathematical symbology is used to excess, making the theorems and examples nigh impossible for most students to comprehend without guidance or hours of ponderment.In many cases, the examples are peppered with expressions such as "it is obvious that . . ." when the reader may have no idea what Cullen is doing!In one case, a notational convention (D as an operator meaning differentiation) was introduced several chapters before it was defined, and several frequently used symbols and notations are absent from the glossary inside the front cover

A Clear, Practical Synthesis
I had to respond to the student review posted here... Don't Try This at Home
This book was less than satisfactory.The author, Charels G. Cullen, does cover many of the topics in a typical Differential Equations course, but the book is completly unorganized.He provides problems at the begining ofthe first few chapters that one should not be expected to know how to dountil the book is finished.Without an instructor and supplementalmaterial, some of the topics are nearly impossible.In the course I tookwe rarely used it except for homework problems, and the reading we did doneeded detailed explanation the next day.Don't read this unless you haveto for a course. ... Read more

Subjects:  1. Algebra - Linear    2. Algebras, Linear    3. Differential Equations    4. Linear Algebra    5. Mathematics    6. Science/Mathematics   

Reviews (5)

Very good book, worth the price
I got an A in my Linear Algebra class.Part of it may be due to the countless hours upon hours that I studied every week.However, the tools at my disposal helped make the quality of the time worthy.This book is another valueable tool to keep in your toolchest and I'd recommend this as an accompanyment to your class.They do a great job with Vector spaces and Determinants as well as Gaussian elimination.I particularly liked some of the "trick" questions that they stuck in from chapter to chapter (great study aid as many teachers like to stick these types of trick questions).My only complaint is that they prefer to calculate the basis of a row space by non-transposition (whereas our teacher (in our course) used the transposition technique) so I could not really go by that section (thus the **** rather than ***** review) but I can't really fault the author as teachers have their preferences as to how they want their students to calculate certain answers. Good book but without index.
This book is a good complement for any course of Linear Algebra. Outstanding book
This book contains 3000 Solved Problems (duh) for those who learn best by example.If you need to catch up on your linear algebra knowledge, or currently taking a class, this book will take the abstract concepts and lay them out in example.Some of the problems do ask for proofs (1 out of 15 or so) of certain theories.But don't let that scare you, if you don't like proofs.Practicing answering these proofs with the answer right in front of you, will not only help you construct proofs in the future, but also will also help you organize the thought processes and give you a better concept and intuition of the material.Read more

Subjects:  1. Algebra - General    2. Algebra - Linear    3. Algebras, Linear    4. Linear Algebra    5. Mathematics    6. Problems, exercises, etc    7. Reference    8. Science/Mathematics    9. Study Guides    10. Mathematics / Algebra / Linear   

Reviews (6)

Difficult for undergrads
I think the term "undergraduate" is a bit misleading.I think you would have had to have at least one course in linear algebra and abtract algebra to truly appreciate this book.I read it over a summer (as a master's student who lacked any coursework in linear algebra) - kind of as an independent project, and I found it to be very easy to understand.Then again, I had just taken abstract algebra.There were a couple parts that I found challenging though.I love it when he says that the proof or rest of the proof is "trivial" and unnecessary to write.I have heard he does this in many of his books.Overall great book if you have some background.

Solid piece of work
Like in other math books by Lang, the theory of Linear Algebra is presented in an axiomatic way, the best way of presenting since The Elements of Euclid. The way in which the theory is presented adds to the beauty. I have read this book as a refresher for Linear Algebra, about 20 years after the completion of a master's degree in an exact science. For me the level was perfect. If you have no experience with Linear Algebra beyond high school, you must first read "Introduction to Linear Algebra" by Lang or some other introductory course. The book under review does not talk about basics like Gauss-elimination. I have seen remarkably few typos. Some cross-references to theorems in other chapters were wrong, though. In all: a very good book and well worth the money.

Serge Lang is a Very Gifted Expositor
Serge Lang is a very gifted expositor. I've read the reviews saying that his books are notorious for their "dryness". At least as concerns this book - that couldn't be less true.Read more

Subjects:  1. Algebra - Linear    2. Algebras, Linear    3. Linear Algebra    4. Mathematics    5. Science/Mathematics    6. Mathematics / Algebra / Linear