Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Greub W.H. — Linear Algebra
Greub W.H. — Linear Algebra

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Linear Algebra

Автор: Greub W.H.

Аннотация:

The major change between the second and third edition is the separation of linear and multilinear algebra into two different volumes as well as the incorporation of a great deal of new material. However, the essential character of the book remains the same; in other words, the entire presentation continues to be based on an axiomatic treatment of vector spaces.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Third edition

Год издания: 1967

Количество страниц: 434

Добавлена в каталог: 29.11.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
A $G_p$-gradation      165
Abelian group      2
Adjoint mapping      204
Adjoint mapping, matrix      111
Affine coordinates      280
Affine coordinates, coordinate-system      280
Affine coordinates, equivalent quadrics      293
Affine coordinates, mapping      281
Affine coordinates, space      279
Affine coordinates, subspace      281
Algebra      139
Algebra of linear transformations      141
Algebra of quaternians      321
Algebraic number      161
Almost finite gradation      166
Alternative theorem      86
angle      183
Anticommutative graded algebra      171
Antiderivation      149
Associative algebra      140
Associativity (groups)      1
Augmented matrix      88
Barybicentric coordinates      208
Basis      11
Basis transformation      91
BesseFs-inequality      189
Bicommutant      403
Bilinear function      63
Binomial formula      171
Boundaries      173
Bounded linear transformation      201
Canonical injection      23
Canonical injection, involution      171
Canonical injection, projection      26
Canonical injection, projection (group)      2
Cauchy-criterion      203
Cayley — Hamilton theorem      399
Center      283
Center of an algebra      150
Chain      4
Chain, rule      341
Characteristic coefficients      118
Characteristic coefficients, equation      116
Characteristic coefficients, polynomial      118 373
Characteristic coefficients, polynomial of a matrix      120
Characteristic coefficients, zero (field)      3
Co-dimension      36
Coboundaries      174
Cocycles      174
Coefficient field      5
Cofactor      111
Cohomology space      174
Column-vectors      82
Commutant      402
Commutative algebra      140
Commutative algebra, (group)      2
Compatible gradations      165
Complementary subspace      26
Complete normed linear space      203
Complex vector space      6
components      11
composition      18
Cone with vertex      285
Conjugate determinant-function      313
Conjugate determinant-function, linear transformations      394
Conjugate determinant-function, principal axes      300
Conjugation      312
Connecting mapping      174
continuous curve      232
Continuously differentiable curve      232
Contragradient basis-transformations      92
Convergent sequence      203
Convex subsets      270
Coset (group)      2
Cosine-theorem      184
Covarient components      199
Cramer’s solution formula      112
Cross product      194
Cycles      173
Cyclic space      383
Deformable basis      132
Degree of a homogeneous linear of a polynomial      339 431
Degree of a homogeneous linear, mapping      163
Degree of a homogeneous linear, of nilpotcncy      153
DeMoivre’s formula      242
Derivation      147
Derivation, p-derivation      148
Derived algebra      143
Determinant of a linear transformation      102
Determinant of a linear transformation of an n x n matrix      106
Determinant-function      98
Diagonal mapping      56
Difference vector      279
Difference vector, space      279
Differentiable curve      232
Differential algebra      178
Differential algebra, operator      173
Differential algebra, space      173
Differentiation map      341
DIMENSION      32
Direct sum (external)      55
Direct sum (external), (internal)      24
Distance      189
Distributive law (field)      3
Division-algebra      321
Divisor      345
Dual bases      76
Dual bases, determinant-function      109
Dual bases, differential spaces      174
G-graded algebra      169
G-graded algebra, differential algebra      178
G-graded algebra, factor space      164
G-graded algebra, subalgebra      170
G-graded algebra, subspace      163
G-graded algebra, vector space      162
General linear group      53
General linear group, orthogonal group      223
Generalized eigenspaces      375
Generator      383
Ggraded spaces      174
Ggraded spaces, Eigen-space      211
Ggraded spaces, Eigenvalue      116
Ggraded spaces, Eigenvalues of a matrix      120
Ggraded spaces, Eigenvector      116
Ggraded spaces, Elementary transformation      94
Ggraded spaces, Elements of a matrix      82
Ggraded spaces, Ellipse      292
Ggraded spaces, Endomorphism      139
Ggraded spaces, Entries of a matrix      82
Ggraded spaces, Equilateral simplex      283
Ggraded spaces, Equivalent matrices      97
Ggraded spaces, Euclid algorithm      344 352
Ggraded spaces, Euclidean space      181 282
Ggraded spaces, Euler — Po incare characteristic      180
Ggraded spaces, Exact sequence      45
Ggraded spaces, Exchange theorem of Steinitz      16
Ggraded spaces, Expansion-formula      113
Ggraded spaces, Extension field      3
Ggraded spaces, Factor algebra      144
Ggraded spaces, Field      3
Ggraded spaces, Fitting decomposition      378
Ggraded spaces, Fore-cone      270
Ggraded spaces, formula      180
Ggraded spaces, Function      1
Ggraded spaces, group      3
Ggraded spaces, mappings      67
Ggraded spaces, sequence of differential spaces      174
Ggraded spaces, set      2
Ggraded spaces, space      29
Ggraded spaces, spaces      64
Ggraded spaces, vectors      28
Graded space      162
Gram determinant      192 314
Greatest common divisor      346
Greatest common divisor, lower bound      4
Group      1
Group of degrees      162
Group of linear automorphisms      53
Group of permutations      2
Hadamard’s inequality      198
Hermitian function      309
Hermitian function, matrix      310
Homogeneous linear mapping      163
Homogeneous linear mapping, system of linear equations      85
Homogeneous linear mapping, vectors      162
Homology algebra      178
Homology algebra, space      173
Homomorphism of algebras      139
Homomorphism of algebras of differential algebras      178
Homomorphism of algebras of differential spaces      173
Homomorphism of algebras of exact sequences      47
Homomorphism of algebras of groups      2
Homothetic linear transformation      223
Homotopy operator      179
Hyperbola      292
Hyperplane      281
Ideal      143
Identification      55
Identity element      1
Im^ge space      41
Indefinite bilinear function      249
Indefinite bilinear function of a bilinear function      252 432
Indefinite bilinear function, of a pseudo — Euclidean space      264
Induced basis      75
Induced basis, orientation      128
Infinite-dimensional vector space      32
Inhomogeneous system of linear, equations      85
Inner product      181
Inner product, product space      181
Instantaneous axis      239
Integration operator      343
Intersection      23
Intersection, number      132
Inverse isomorphism      17
Inverse matrix      90
Involution      18
Irreducible algebra      156
Irreducible algebra, polynomial      345
Irreducible algebra, space      54 388
Isometric linear mapping      220
Isomorphic      17
Isomorphism of exact sequences      47
Jacobi identity      151
Jordan canonical matrix      391
Kernel      41
Kronecker symbol      75
Lattice      4
Leading coefficient      339
Least common multiple      346
Least common multiple, upper bound      4
Left ideal      143
Left ideal, inverse of a linear mapping      52
Leibniz formula      147
Lie algebra      151
Light-cone      264
Light-cone, vector      264
Linear automorphism      17
Linear automorphism, closure      23
Linear automorphism, combination      8
Linear automorphism, function      16
Linear automorphism, isomorphism      17
Linear automorphism, mapping      16
Linear automorphism, transformation      17
Linearly dependent vectors      9
Linearly dependent vectors, independent vectors      10
Linearly dependent vectors, ordered elements      4
Lorenz transformation      275
Lower bound      4
Lower bound, triangular matrix      90
Mapping      1
Matrix      82
Metric normal-form      30
Metrically equivalent quadrics      302
Minimum polynomial      357
Minkowsky-space      275
Minor      113
Monic polynomial      339
Monomial polynomial      339
Multiple      345
Multiplication operator      140
Multiplication operator, n-dimensional affine space      279
Multiplication operator, n-space over      7
Neighbourhood      38
Nilpotent element      153
Nilpotent element, linear transformation      121 406
Nilpotent element, part      365
Non-degenerate bilinear function      63
Non-trivial linear relation      9
Norm of a vector      181 310
Norm-function      200
Norm-topology      201
Normal form of a matrix      94
Normal form of a matrix, form of a quadric      290
Normal form of a matrix, linear transformation      207 316
Normal-vector      299
Normed determinant-function      191
Normed determinant-function, linear space      200
Nullspaces      63
Opposite algebra      140
Orientation      127
Orientation, preserving      127
Oriented angle      191
Origin      280
Orthocroneous transformation      275
Orthogonal basis      186
Orthogonal basis, complement      66 188
Orthogonal basis, matrix      188
Orthogonal basis, projection      189 214
Orthogonal basis, vectors      66 182
parabola      292
Parallel affine subspaces      281
Parallelogram-identity      245 1—
Parallelogram-identity, parameter group      237
Partially ordered set      4
Past-cone      270
Pauli-matrices      332
Poincare series      166
Point      279
Polar subspace      292 4
Polar subspace, function, .      150
Polar subspace, U, Polynomial, .      140
Positive basis      127
Positive basis, definite      248
Positive basis, definite Hcrmitian function      309
Positive basis, gradation      162
Positive basis, selfadjoint transformation      213
Positive basis, semidcfinite symmetric bilinear, function      248
Positive basis, vector      280
Prime polynomial      345
Principal axes      300
Principal axes, minors      114
Product (algebra)      139
Product (algebra) of matrices      89
Projection operator      59
Proper rigid motion      284
Proper rigid motion, dimensional parallelepiped      192
Proper rigid motion, homology space      176
Proper rigid motion, p-th Betti number      177
Proper rigid motion, rotation      224
Pseudo — Euclidean rotation      272
1 2
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте