What do you think?
Rate this book
Undergraduate Texts in Mathematics
Linear Algebra
1 Vectors in the plane and space.- 2 Vector spaces.- 3 Subspaces.- 4 Examples of vector spaces.- 5 Linear independence and dependence.- 6 Bases and finite-dimensional vector spaces.- 7 The elements of vector a summing up.- 8 Linear transformations.- 9 Linear some numerical examples.- 10 Matrices and linear transformations.- 11 Matrices.- 12 Representing linear transformations by matrices.- 12bis More on representing linear transformations by matrices.- 13 Systems of linear equations.- 14 The elements of eigenvalue and eigenvector theory.- 15 Inner product spaces.- 16 The spectral theorem and quadratic forms.
- GenresMathematics
292 pages, Paperback
First published January 1, 1978
3 people are currently reading
32 people want to read
Ratings & Reviews
Friends & Following
Create a free account to discover what your friends think of this book!
Community Reviews
Displaying 1 of 1 review
May 13, 2014
This is a great introduction to linear algebra. I was reading it to review doing proofs...plus it's my habit to annually review linear algebra.
The exercises range from great to "Why is this here?" and sometimes "That's a sentence, not an exercise". They are not the "calculation" family of exercises, where one does a large number of matrix multiplications, determinants, finding the inverses, etc. This is a first step towards proof-based thinking.
But the proofs really are quite well done. The best exercise for the reader is to pause after a given proof, and ask one's self "IS there another way to do this? What if we remove some axioms? What if we work with a Rig instead of a field?" etc.
If the exercises were updated and/or revised, this would be a 5 star book. But since the exercises are a seeming after thought, I can't bring myself about to give it such a ranking...
The exercises range from great to "Why is this here?" and sometimes "That's a sentence, not an exercise". They are not the "calculation" family of exercises, where one does a large number of matrix multiplications, determinants, finding the inverses, etc. This is a first step towards proof-based thinking.
But the proofs really are quite well done. The best exercise for the reader is to pause after a given proof, and ask one's self "IS there another way to do this? What if we remove some axioms? What if we work with a Rig instead of a field?" etc.
If the exercises were updated and/or revised, this would be a 5 star book. But since the exercises are a seeming after thought, I can't bring myself about to give it such a ranking...
Displaying 1 of 1 review