Linearity and the Mathematics of Several VariablesWorld Scientific, 2000 - 445 lappuses Neither a list of theorems and proofs nor a recipe for elementary matrix calculations, this textbook acquaints the student of applied mathematics with the concepts of linear algebra ? why they are useful and how they are used. As each concept is introduced, it is applied to multivariable calculus or differential equations, extending and consolidating the student's understanding of those subjects in the process. |
Saturs
Matrices | 27 |
Vector Spaces and Linear Functions | 89 |
Bases | 148 |
Local Bases Associated with a Coordinate System | 164 |
Dimension | 170 |
Coordinates with Respect to a Basis | 178 |
Change of Basis | 191 |
Subspaces and Linear Equations | 210 |
Implicit and Inverse Functions | 257 |
Inner Products and Differential Vector Calculus | 272 |
Determinants and Integral Vector Calculus | 321 |
Surface Integrals | 352 |
The Integral Theorems of Vector Analysis | 361 |
Direct Methods of Evaluating Line and Surface Integrals | 378 |
Eigenvectors and Diagonalization | 393 |
| 437 | |
Citi izdevumi - Skatīt visu
Linearity and the Mathematics of Several Variables Stephen A Fulling,Michael N Sinyakov,Sergei V Tishchenko Ierobežota priekšskatīšana - 2000 |
Bieži izmantoti vārdi un frāzes
algebra answer apply approximation arbitrary bases basis boundary Calculate called column components Consider consisting constant continuous coordinates corresponding course curve defined definition dependent derivatives determinant diagonal differential differential equation dimension direction discussion domain eigenvalues eigenvectors elements equal equation evaluate example Exercise exists expression fact field Find formula given important independent inner product integral inverse length linear combination linear function matrix method multiplication natural normal notation Note numbers operator origin orthogonal parametric partial particular physical plane polynomials positive problem proof Prove range region REMARK represented respect result rule satisfies scalar Show solution solve span subspace surface tangent tangent vector theorem transformation unit usually values variables vector space write zero მე მყ