The cornerstone of ELEMENTARY LINEAR ALGEBRA is the authors' clear, careful, and concise presentation of material--written so that students can fully understand how mathematics works. This program balances theory with examples, applications, and geometric intuition for a complete, step-by-step learning system. The Sixth Edition incorporates up-to-date coverage of Computer Algebra Systems (Maple/MATLAB/Mathematica); additional support is provided in a corresponding technology guide. Data and applications also reflect current statistics and examples to engage students and demonstrate the link between theory and practice. This Enhanced Edition includes instant access to WebAssign, the most widely-used and reliable homework system. WebAssign presents over 500 problems, as well as links to relevant textbook sections, that help students grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this text. This guide contains instructions to help students learn the basics of WebAssign quickly.
The problems frequently cover material not explained in the chapter leaving the reader to search the internet for explanation. Proofs are frequently "left to the reader" rather than explained. Generally written as if someone with expertise was writing to display expertise rather than teach. Horrible introduction book for beginners.
Ok, I'm an engineer and I have forgotten everything from Uni so have blown the dust off linear algebra as I need it for a few things. I have tried, and am still using, the following texts: David Lay, Schaum's, Keith Nicholson and A. Wayne Roberts but the best one I've found so far is Larson. If you are a math major you won't like Larson, you'll find the Schuam's, Lay or Nicholson texts more detailed and into proofs and all that. If you are an engineer, physics or chemist, Larson's book is for you. Linear algebra, unlike calculus and differential equations, can be very tedious like other things in pure maths. Lots to memorize, axioms, rules, proofs.....not my thing. I need the linear algebra to understand basis, vector spaces, 3D geometry and the matrix algebra that goes along with it. The proofs to me are a tedious waste of time, a comment that the math majors will fume about but there it is. I want this as am relearning my vector calculus and want to move into tensors which require the LA....but not to the minute detail that Nicholson and Lay present. 30 years ago I asked my antennas professor why he didn't publish his notes as a text book as the book he had us buy, Balanis, was almost impossible and he dropped a line that has stayed with me since, "Balanis is not and was never written for you to learn from. Prof Balanis wrote it to impress me and his other colleagues world wide, he was not thinking of students. Most text books are like this, it's professors trying to impress other professors, students are an afterthought." . There is much meat in that statement. Larson is written for students to learn from, providing you're not a math major. If you need more details, Nicholson, Lay or Harm's Speigel is what you need.
Chiefly used for practices, this book comes to use when you do not have much time before examinations to attend to rather casual or say, literary prose of Gilbert Strang. A stopgap? No, the exercises are instrumental. Post script: why doesn't Cengage print it in India which would make it more available in the subcontinent. Or do they impel us to read pirated versions?
The publisher's pitch for the title indicates that three chapters were "moved online" as of the fourth edition due to "popular demand". I smell BS. I think the publisher did this to juice the margins on this textbook, which like most is overpriced.
Here are the chapter and section titles for the missing material from the book, which is now in its sixth edition:
8 Complex Vector Spaces
8.1 Complex Numbers 8.2 Conjugates and Divisors of Complex Numbers 8.3 Polar Form and DeMoivre's Theorem 8.4 Complex Vector Spaces and Inner Products 8.5 Unitary and Hermitian Matrices
9 Linear Programming
9.1 Systems of Linear Inequalities 9.2 Linear Programming Involving Two Variables 9.3 The Simplex Method: Maximization 9.4 The Simplex Method: Minimization 9.5 The Simplex Method: Mixed Constraints
10 Numerical Methods
10.1 Gaussian Elimination with Partial Pivoting 10.2 Iterative Methods for Solving Linear Systems 10.3 Power Method for Approximating Eigenvalues 10.4 Applications of Numerical Methods
I could perhaps be talked into believing that chapter 10 could be made an online supplement, as numerical methods are a huge subject with their own course, and to which any student of college mathematics will get some limited exposure through via calculus and differential equations courses.
But relegating complex-valued matrices, complex spaces, and linear programming to PDFs on the web where few students will see them is a crime against education.
I dock this textbook a star for its price and another for shunting three chapters into the online ghetto. However, compared to many other linear algebra textbooks I looked at, Larson/Falvo appears to be nearly the broadest survey of the subject around while remaining accessible to beginners (where "beginners" have at least a semester of single-variable calculus under their belt and ideally at least a brief exposure to ordinary differential equations). This text is heavy on applications, which I consider a major virtue.
loved: ‧₊˚ amazing explanations - very easy to understand ‧₊˚ helpful examples ‧₊˚ lots of practice problems
hated: ‧₊˚ can’t think of anything i hated!
overall review: ‧₊˚ i think this is the first textbook that i absolutely loved! i learned so much from this. the practice problems helped so much and was able to check some answers in the provided answer key. it was cool/interesting to read the little snippets of how linear algebra applies to other fields of study. would absolutely recommend this book to anyone wanting to learn linear algebra- amazing introductory book!!
Basic LA, some nice geo demo of low dimensional example to illustrate some theories. I expect more about eigenvector and eigenvalue however, so that I can better understand PCA, which is completely untouched here. Perhaps that is what "elementary" means.
Very good book. Everything clearly explained and most of the theorems are easy to pick up, without removing space for the reader to explore by himself.