You can teach a course that will give their students exposure to linear algebra. In their first brush with the topic, your students can work with the Euclidean space and the matrix. In contrast, this course will emphasize the abstract vector spaces and linear maps. Bold title of this book deserves an explanation. Almost all linear algebra books use determinants to prove that each linear op-erator on a finite dimensional vector space has a complex eigenvalue.
This book is a survey of abstract algebra with emphasis on algebra tinh.Do is online
for students in mathematics, computer science, and physical sciences.
The rst three or four chapters can stand alone as a one semester course in abstract
algebra. However, they are structured to provide the foundation for the program
linear algebra. Chapter 2 is the most di cult part of the book for group
written in additive notation and multiplication, and the concept of coset is confusing
at rst. Chapter 2 After the book was much easier as you go along....
It’s now not too hard to find problems and solutions on the Internet due to the increasing number of websites devoted to mathematical problem solving. It is our hope that this collection saves you considerable time searching the problems you really want. We intend to give an outline of solutions to the problems in the future. Now enjoy these “cakes” from Vietnam first.
There are many books on linear algebra, in which many people are really great
ones (see for example the list of recommended literature). One might think that one does
no books on this subject. Choose a person's words more carefully, it
can deduce that this book contains everything needed and the best
possible, and so any new book, just repeat the old ones.
This idea is evident wrong, but almost everywhere.
New results in linear algebra and are constantly appearing so refreshing, simple and
neater proof of the famous theorem.