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|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA184.SPR FCT 82560 (Browse shelf) | 1 | Available |
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| QA184.SPR FCT 81428 The mathematics of Frobenius in context | QA184.SPR FCT 81515 Mathematics for econometrics | QA184.SPR FCT 81663 Max-linear systems | QA184.SPR FCT 82560 Linear algebra and geometry | QA184.SPR FCT 82837 Combinatorial matrix theory and generalized inverses of matrices | QA184.SPR FCT 82886 Algebra lineare ed equazioni differenziali ordinarie | QA184.SPR FCT 82890 Linear algebra |
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This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior algebras, non-Euclidean geometry, topological properties of projective spaces, theory of quadrics (in affine and projective spaces), decomposition of finite abelian groups, and finitely generated periodic modules (similar to Jordan normal forms of linear operators). Mathematical reasoning, theorems, and concepts are illustrated with numerous examples from various fields of mathematics, including differential equations and differential geometry, as well as from mechanics and physics.
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