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Product details

File Size: 14661 KB

Print Length: 432 pages

Publisher: Dover Publications; 2nd Revised ed. edition (June 8, 2012)

Publication Date: June 8, 2012

Sold by: Amazon Digital Services LLC

Language: English

ASIN: B00CWR4ORE

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I am so pleased and thankful for this book! Nowhere else have I been able to find a rigorous, complete and fully motivated development of the definition of a determinant (not online, not in other linear algebra textbooks of which i have 4 including the excellent text by David Lay et al as well as numerous other books). This book has equipped me to teach not only how to DO determinants and how to prove that determinants correlate with area, volume and hypervolume, but rather develops the determinant as the geometric concept of area/volume/hypervolume of a parallelepiped in n dimensions -- which also determines whether or not a nxn matrix can be inverted -- and from this all the basic properties of determinants become clear. Elsewhere the approach seems to be, "motivate" the determinant by discussing a 2x2 matrix and then define the matrix as the row or column expansion of minor submatrices -- proving from this seemingly arbitrary definition various matrix aspects which are much more naturally discussed by this book. SOME other books even point out that all the additive terms can be formed by permutations of columns to determine which factor is selected from each row of the matrix to calculate the determinant, but not really demonstrating WHY in a general sense. Although it is not easy in the sense that some of the proofs are subtle still they are quite well done, so I recommend the book for any math major, math professor, or (in my case) former math major teaching a precocious 7th grader who has already blown through algebra, trig and calculus.

I am not a math person. I bought the book to spark some math on a higher level. I had no idea what matrices etc are. The math is on such a high abstract level that it is way beyond my ability to grab any basics for understanding it. But I am keeping the book for now. I will go over it now and then. Something may garner meanings from checking it out.

In past semesters, the course required text had always been a ridiculously expensive book with many pictures and long, tedious explanations. This book is excellent at explaining with minimal detail yet still getting the point across. The only con I can think of is the small number of problems, leaving only the conceptual and harder problems. But even this could be a pro, helping the student to think around the concepts rather than repetition of busy work exercises. I would suggest practicing from another source the topics you find more difficult.

Trying to teach myself matrix algebra. Will have to take an on-line course. These math books are difficult to follow. Others who are smarter than me would appreciate it more.

Not a bad Math book. It sure doesn't weigh alot. Not taking this math before, it doesn't seem to hard to follow. The teacher recommends this book and states its better than the other books that he has used before. Answers to questions are in the back and the proofs are not really hard to follow. The price of the book was outstanding.

except the posting take really long time. everything is OK.

this book is terrible, it's confusing and lack of explaination, i recommand u to get the Linear Algebra and it's application by Davie C. Lay

On my desk right now, books by: David C. Lay, Terry Lawson, Sheldon Axler, Klaus Jänich, Robert Valenza, and this one by Schneider and Barker. I tend to go back again and again here.I'm using this book as a supplement for the textbook in my class. Some of the books cited above don't quite fit the bill because they're so different from the linear algebra for engineering you so often see in classes. But this one is excellent for a matrix-heavy approach.This book is "bare bones", indeed, but it is very well written. Some might not be used to definitions, propositions, theorems and lemmas but in this case this makes it a whole lot easier for finding (and referencing) the important results. The notation is careful and formal, but the explanations are crystal clear. On the back cover it says it's geared towards students "outside the field of mathematics" but I think they say that because it avoids a purely algebraic approach (like in Valenza where e.g. Ker is defined in the context of group homomorphism). The approach is the one of matrixes, matrixes everywhere (row echelon algorithm, etc.) There are, however, no "modern" applications (such as networks, or ecology) as examples.Another reviewer complained about the difficulty in exercises. While you have "drill" ones, you do have more conceptual ones, but I think they're on par with the text. There are no pretty illustrations here, and you will see that you don't need them.In some other books, material might be presented in a wordy manner, but in this book, you just say "ah, so what so-and-so is saying is just Theorem number X.X.X in S&B."On the whole, this is an excellent acquisition for your undergraduate library. It is cheap and good. What more do you want?

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