Is Artin algebra good?
Unlike some other algebra books, this book was very slim and easy to understand. I definitely recommend it for a beginner, but if you’re more than a beginner then you may want to use Artin (used at UPenn) or Dummit and Foote (used at Caltech).
What is the big idea of linear algebra?
Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. Equations like this are linear in that they describe a line on a two-dimensional graph.
Is linear algebra finished?
These are not algebraic questions, even though they are questions about vectors and matrices. If you count these, then linear algebra is far from complete. In many ways, it is the most important active field of research in computational and applied mathematics.
Why is linear algebra named so?
Linear algebra is called linear because it is the study of straight lines. A linear function is any function that graphs to a straight line, and linear algebra is the mathematics for solving systems that are modeled with multiple linear functions.
Is linear algebra real analysis?
Linear algebra concerns vector space, that is a space of vectors over a field, usually the field of real numbers. This means that each dimension of a vector space (no matter what basis you chose) behaves in exactly the same way as the reals. Hence all of real analysis applies immediately in each dimension.
Is linear algebra The most important math?
In all seriousness, linear algebra is probably the single most important class (or two) that you are going to take throughout your degree. Linear algebra is profoundly useful in just about every corner of mathematics and other STEM fields.
Why is linear algebra so hard?
Linear algebra is so hard because it is not very intuitive, it places a strong emphasis on rigorous proofs, and its concepts are very abstract and difficult to visualize. Linear algebra is difficult because it is fundamentally different from most high school and college courses you have taken until now.
Is linear algebra easier than calculus?
The pure mechanics of Linear algebra are very basic, being far easier than anything of substance in Calculus. The difficulty is that linear algebra is mostly about understanding terms and definitions and determining the type of calculation and analysis needed to get the required result.