liceoartisticolisippo-ta
» » Linear Algebra

# Linear Algebra ebook

## by Jim Hefferon

Jim Hefferon Saint Michael’s College, Colchester VT USA 2017-Jan-01. Chapter One: Linear Systems Solving Linear Systems .

Hefferon has clearly made a great effort to find relevant examples and to make everything as clear as possible.

The coverage is standard: linear systems and Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Prerequisites: A semester of calculus. Students with three semesters of calculus can skip a few sections.

1 LINEAR ALGEBRA Jim Hefferon. Calculus books often describe a plane by using a single linear equation

1 LINEAR ALGEBRA Jim Hefferon }, complex numbers (. .Calculus books often describe a plane by using a single linear equation. x P { y 2x + y + z 4} z. 50 4 Chapter One. Linear Systems To translate from this to the vector description, think of this as a one-equation linear system and parametrize: x 2 y/2 z/2.

Jim Hefferon, Saint Michael's College. The book covers the standard material for an introductory course in linear algebra

Jim Hefferon, Saint Michael's College. ISBN 13: 9781944325039. Publisher: Jim Hefferon. The book covers the standard material for an introductory course in linear algebra.

18 Linear Algebra, by Hefferon

18 Linear Algebra, by Hefferon. a) Every such set has the form {r · v + s · w r, s ∈ R} where either or both of v, w may be 0. With the inherited operations, closure of addition (r1v + s1w) + (r2v + s2w) (r1 + r2)v + (s1 + s2)w and scalar multiplication c(rv + sw) (cr)v + (cs).

The text covers linear systems and Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Each chapter has three or four discussions of additional topics and applications. Elementary Linear Algebra by Keith Matthews - University of Queensland This an introduction to linear algebra with solutions to all exercises.

Most of the dierences between this book and others follow straight from that goal. One consequence of this goal of development is that, unlike in many compu-tational texts, all of the results here are proved. On the other hand, in contrast with more abstract texts, many examples are given, and they are often quite detailed.

com on behalf of the author.

The coverage is standard: linear systems and Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Prerequisites: A semester of calculus. Students with three semesters of calculus can skip a few sections. Applications: Each chapter has three or four discussions of additional topics and applications. These are suitable for independent study or for small group work. What makes it different? The approach is developmental. Although the presentation is focused on covering the requisite material by proving things, it does not start with an assumption that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise the level of mathematical maturity of the class.
Meztisho
I got an A in Calculus 1 with Analytic Geometry, and I am very comfortable using programs like Mathematica, Maple, and to a degree: programming in Fortran 95. I have at least met, if not exceeded the requirements to teach myself linear algebra with this book. Although, guidance on occasion is advised in the preface of the book. It is also advised that the reader have taken at least a semester of Calculus. If one hasn't studied Calculus, it shouldn't be a problem to pick up this book, read carefully, do the problems, and learn quickly and easily.

The reason behind that is, a student who has taken calculus REALLY had to learn quickly that mathematical concepts build upon themselves. Forgetting mathematical concepts, or telling oneself "I'm done with that section. It's all over. Now I can forget this stuff and worry about the next test" WILL cause some very serious problems in Calculus or any course afterwards.

Fortunately, this book starts out with solving systems of equations. Then you learn basic matrix operations, and your mathematical maturity builds throughout the course (by that, I mean proofs, notations, and other things that are major parts of upper level mathematics courses). I have a few other well known, highly regarded books, but none compare to Jim Hefferon's version.

Applications with computers are emphasized strongly, there are generally far more problems and examples than any other Linear Algebra book that I've read, and science applications, very unusually, are used as examples in this first-semester linear algebra book.

The first example actually uses a system of equations to balance a chemical formula. Now that I have this book, I can finally show my chemistry and physics professor how useful the subject is.

The book is also very good at being set up for not only self learning (there is even a hypothetical syllabus for one to use in the beginning of the book), but it's also designed to be a 1 semester classroom book for a Junior/Senior level Linear Algebra class.

All in all, this is a FANTASTIC book. Buy it. You won't regret it.
Hrguig
Exceptionally clear and well written. Introduces difficult concepts hently but thoroughly.
sunrise bird
This is a Dover Book. Hence, not expensive.

Well written with good explanations.

The author continuously updates the contents of the book on his web site.

He has also posted the solutions-- good for those who have embarked on self study!
Beazerdred
This is probably the most simple book on linear algebra. It is excellent for a beginner like myself. You must buy this if you are just starting out with linear algebra. It's better than most expensive textbooks on the subject.
Frei
Excellent.
I ℓ٥ﻻ ﻉ√٥υ
This book is very good -- organization, typesetting and visual presentation, clarity, reasonable rigor (not exaggerated, but not lacking), good examples, several exercises (from simple operational "calculate this" to others that require more thinking or involve modeling) -- overall, it's very good... Hefferon has clearly made a great effort to find relevant examples and to make everything as clear as possible. Lots of theorems are proved, but the book is *not* dense or terse -- on the contrary!

There is also some (just a bit, actually) computer code used as example (Scheme, C, Python, Octave, Fortran).

There are special sections on computer algebra systems, crystallography, voting paradoxes, projective geometry, for example.

Solutions to the exercises are available fro mthe author's website.

Undergrads having problems with Linear Algebra should check out this book.

By the way, the book is also available for free from his website (but the printed copy is absolutely worth the price)
greatest
Excellent introductory book. Well done!
I just feel like learning a little bit linear algebra as I have no idea what those matrix stuffs are, but I don't see the point why this book charges a whopping \$4,500...maybe mathematicians are used to large numbers. Author:
Jim Hefferon
Category:
Mathematics
Subcat:
EPUB size:
1148 kb
FB2 size:
1612 kb
DJVU size:
1898 kb
Language:
Publisher:
Virginia Commonwealth University Mathematics (June 1, 2009)
Pages:
450 pages
Rating:
4.8
Other formats:
rtf lit doc txt