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作业问题15:由美国Lipshut线性代数z and M Lipson
Amazon review link:
http://www.amazon.com/Schaums-Outline-Algebra-Seymour-Lipschutz/dp/00713...
This "Schaum's Outlines" book was helpful to me in the first few weeks of this course (and will likely come in handy again ) for becoming more proficient in matrix operations, definitons of basis, eigenvalues and determinants, and even "elementary" things like vector products, which I haven't used in a while. I like that the book presents the material clearly and effienciently, in well defined sections. It serves well to fill in one's gaps in (or just refresh) knowledge of linear algebra without at the same time inundating one with extra theoy. Without adequate background in linear algebra, I would find ES 240 more difficult, and I think so would others; that is why I recommend it. I've discovered that graduate courses, including 240, can assume a certain level of ready math skills without taking (much) time to bring everyone to that level--hence "outline" books like this one are a wise complement.
Now an outline of the book (with the parts that I read for ES 240 highlighted):
1. Vectors in Rn and Cn, Spatial Vectors
2. Algebra of Matrices
3. Systems of Linear Equations
4. Vector Spaces
5. Linear Mappings
6.线性映射和矩阵
7. Inner Product Spaces, Orthogonality
8. Determinants
9. Diagonalization: Eigenvalues and Eigenvectors
10. Canonical Forms
11. Linear Functionals and the Dual Space
12. Bilinear, Quadratic, and Hermitian Forms
13. Linear Operators on Inner Product Spaces
14. Multilinear Products
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