Электронная библиотека Попечительского советамеханико-математического факультета Московского государственного университета
 Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум Авторизация Поиск по указателям     Manturov O.V., Matveev N.M. — A course of higher mathematics: linear algebra, analytic geometry, differential calculus of functions of one variable Обсудите книгу на научном форуме Нашли опечатку?Выделите ее мышкой и нажмите Ctrl+Enter Название: A course of higher mathematics: linear algebra, analytic geometry, differential calculus of functions of one variable Авторы: Manturov O.V., Matveev N.M. Аннотация: Книга "Курс высшей математики" представлена на английском языке. Язык: Рубрика: Математика/ Серия: Сделано в холле Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1989 Количество страниц: 470 Добавлена в каталог: 08.12.2011 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель
 Abscissa (s)      292 Applying Taylor’s formula in approximate calculations      233—235 Associativity      296 Asymptote(s)      243 420 Asymptote(s) oblique      244 420 Asymptote(s) vertical      244 420 Basic equivalences      180 Basis(es) of a linear space      18 Basis(es), dual adjoint      320 Basis(es), orthogonal in Rn      26 Basis(es), orthogonalization of      307 Basis(es), orthonormal      307 Cauchy — Buniakovski inequality      24 Cauchy’s equivalent      164 Cauchy’s for convergence of a sequence      171 Cauchy’s necessary      164 Cauchy’s necessary, for an extremum to exist      237 Cauchy’s sufficient      164 Characteristic, equation      107 350 Characteristic, polynomial      350 Classification of discontinuity      185 Classification of second-order curves in 132—135 367 Classification of second-order surfaces in 135—140 Cofactor(s)      62 Commutativity      296 Complement      157 374 Complex number(s)      262 425 Complex number(s) root of      264 Complex number(s) algebraic form of      263 426 Complex number(s) amplitude of      263 Complex number(s) argument of      263 Complex number(s) exponential form of      266 426 Complex number(s) imaginary part of      263 Complex number(s) properties of      425 Complex number(s) real part of      263 Complex number(s) trigonometric form of      263 426 Composition of mappings      160 Computing, derivatives of basic elementary functions      399 Computing, eigenvalues and eigenvectors      104 Computing, rank of a matrix      68 Conditional extrema      448 Cone      372 Coordinate axes      292 Coordinate(s) of a point      11 Coordinate(s) of a vector      12 294 Cylinder of a composite function      199 402 Cylinder of an inverse function      203 403 Cylinder of hyperbolic functions      206 Cylinder of inverse trigonometric functions      199 403 Cylinder, Derivative(s)      192 397 Cylinder, elliptic      139 372 Cylinder, geometrical meaning of      194 398 Cylinder, higher-order      212 Cylinder, hyperbolic      139 372 Cylinder, imaginary elliptic      373 Cylinder, parabolic      140 373 Derivative(s) mechanical meaning of      194 398 Derivative(s) of a vector function      255 Derivative(s) partial      273 434 Derivative(s) properties of      398 Derivative(s) table of, for basic elementary functions      196—197 Determinant(s) basic properties of      54 Determinant(s) Difference of two sets      374 Determinant(s) minor      61 Determinant(s) nth-order      55 326 Determinant(s) properties of      55 326 Determinant(s) second- and third-order      52 Differentials) of a product      211 Differentials) of a quotient      211 Differentials) of a sum      211 Differentials), first      214 Differentials), geometrical meaning of      209 277 Differentials), higher-order      214 Differentials), invariant form of      209 Differentials), nth      214 Directed line segment      292 Direction cosines      27 Discontinuity(ies)      393 Discontinuity(ies) of the first kind      186 Discontinuity(ies) of the second kind      186 Discontinuity(ies), classification of      185 393 Discontinuity(ies), removable      188 Distance, between skew lines in R      3 313 Distance, between two points      24 Domain(s)      432 Eccentricity      369 Eigenvalue(s)      104 349 Eigenvector(s)      103 349 Eigenvector(s) of a matrix      105 ellipse      369 Ellipse, imaginary      133 370 Ellipsoid      136 371 Elliptic, cylinder      139 Elliptic, paraboloid      138 Equation(s) in coordinate form      31 Equation(s) in vector form      31 Equation(s) of a plane      31 310 Equation(s) vector      311 Equation(s), coordinate      311 Equation(s), matrix-vector      91 Equation(s), parametric, of a curve      258 Equation(s), parametric, of a straight line      311 Equivalence, class      294 Equivalence, relation      293 Evaluation of indeterminate forms      218—225 Evaluation of limits by Taylor’s formula      231 Examples of algorithms      376 Existence of intermediate values      395 Expanding a determinant by a row (column)      330—333 Finding the canonical form of a second-order curve or surface      140—142 Formula (s) with remainder in Lagrange’s form      227 410 Formula (s) with remainder in Peano’s form      227 410 Formula (s), Cramer’s      57 78 88 345 Formula (s), De Moivre’s      264 Formula (s), Euler’s      266 Formula (s), Leibniz      212 406 Formula (s), Maclaurin’s      227 Formula (s), Taylor’s      226 282 441 Fredholm’s alternatives      100 347 Function(s)      158—159 375 Function(s) of a real variable with real values      159—160 Function(s) of several variables      270 Function(s), argument of      159 Function(s), basic elementary      174 Function(s), composite      160 Function(s), composition of      160 Function(s), continuous at a point      173 Function(s), decreasing      161 236 414 Function(s), differentiable      207 274 4 04 Function(s), differential of      207 Function(s), domain of      159 Function(s), exponential      174 384 Function(s), hyperbolic      204 404 Function(s), implicit      285 443 Function(s), increasing      161 236 414 Function(s), infinitely large      178 388 Function(s), infinitesimal      178 388 Function(s), inverse of      160 Function(s), inverse trigonometric      175 Function(s), Lagrange’s      290 Function(s), limit of      377 Function(s), linearized      209 Function(s), logarithmic      174 384 Function(s), monotone      161 Function(s), power      174 384 Function(s), range of      159 Function(s), rational      174 384 Function(s), represented parametrically      258 424 Function(s), smooth      212 Function(s), superposition of      160 Function(s), trigonometric      175 Function(s), value of      159 Fundamental theorem of algebra      269 430 Gaussian elimination      79 339 General procedure for investigating, functions      246 421 Half-line, negative      292 Half-line, positive      292 Hodograph of a vector function      258 Hyperbola      133 369 Hyperbolic, cosine      204 Hyperbolic, cylinder      139 Hyperbolic, derivative of      206 Hyperbolic, functions      204 Hyperbolic, graphs of      204—205 Hyperbolic, paraboloid      138 Hyperbolic, properties of      204—205 Hyperbolic, sine      204 Hyperbolic, tangent      204 Hyperboloid of one sheet      136 371 Hyperboloid of two sheets      137 371 Identity condition for two polynomials      269 Imaginary, cone      372 Imaginary, ellipse      133 Increment in a function      273 Increment partial      273 Infinitesimal(s) comparison of      179 Infinitesimal(s) equivalent      179 Infinitesimal(s) principal part of      181 intersection of two sets      374 Invariant form of differential      208 276 Isomorphism      305 Isotherm      272 Jordan box      359 Jordan form of a matrix      120 359 Kronecker — Capelli theorem      78 83 105 343 Lagrange multipliers      290 Leibniz notation for the derivative of a function      211 Level surface      272 Limit (s)      165 Limit (s) first remarkable      171 Limit (s) left-hand      184 377 Limit (s) of a function      168 Limit (s) of a ratio of polynomials      166—167 Limit (s) of a sequence      165 Limit (s) one-sided      184 377 393 Limit (s) right-hand      184 377 Limit (s) second remarkable      170 Linear      298 Linear operators      35 314 Linear operators, canonical form of      120 Linear operators, characteristic polynomial of      109 350 Linear operators, degenerate      98 Linear operators, eigenvector of      103 Linear operators, kernel of      97 Linear operators, matrix of      38 314 Linear operators, nondegenerate      98 Linear operators, product of, by a number      39 315 Linear operators, range of      97 Linear operators, sum of      39 315 Linearization      209 405 Local extrema      236 Mapping(s) bijective      160 Mapping(s) composition of      160 Mapping(s) injective      160 Mapping(s) surjective      160 Matrix(es)      38 Matrix(es) characteristic polynomial of      107 Matrix(es) determinant of      57 Matrix(es) diagonal      51 Matrix(es) eigenvalue of      107 350 Matrix(es) eigenvector of      350 Matrix(es) elementary transformation of      79 Matrix(es) inverse of      90 316 Matrix(es) of a linear operator in a new basis      117 Matrix(es) orthogonal      49 319 Matrix(es) rank of      64 333 Matrix(es) root of      350 Matrix(es) similar      109 354—355 Matrix(es) spectrum of      109 Matrix(es) stepped form of      68 Matrix(es) symmetric      48 319 Matrix(es) transpose of      48 Matrix(es) transposed      47 Matrix(es) triangular form of      59 Mechanical meaning of a vector function of a scalar argument      355 356 Minor(s)      61 n-Dimensional coordinate, Euclidean space      28 n-Dimensional coordinate, linear space      15 Notion of algorithmic and nonalgorithmic proofs      375 One-sided continuity      393 Operator(s) adjoint      46 319 321 Operator(s) canonical form of      121 358 Operator(s) eigenvalue of      349 Operator(s) eigenvector of      349 Operator(s) elementary      68 Operator(s) kernel of      346 Operator(s) linear      35 Operator(s) range of      346 Operator(s) self-adjoint      47 319 Ordered vector triple      72 Ordered vector triple, left-handed      72 Ordered vector triple, right-handed      72 Ordinate(s)      292 Pair of imaginary intersecting planes      373 Pair of imaginary intersecting straight lines      370 Pair of imaginary parallel lines      370 Pair of imaginary planes      373 Pair of intersecting planes      373 Pair of intersecting straight lines      370 Pair of merged parallel lines      371 Pair of merged parallel planes      373 Pair of parallel lines      370 Pair of parallel planes      373 parabola      134 370 Parabolic cylinder      140 Paraboloid, elliptic      138 372 Paraboloid, hyperbolic      138 372 Pascal’s triangle      213 Permutation(s)      56 323 Permutation(s) even      56 Permutation(s) identity      56 Permutation(s) odd      56 Permutation(s) properties of      323 Phospital’s      218 221 409 Point(s) initial      292 Point(s) of inflection      243 Point(s) stationary      237 Point(s) terminal      272 Point(s), critical      237 Product of a matrix by a number      39 Product of a vector and a real number      13 Product of sets      156 Product of two matrices      39 Product scalar, of two vectors      22 305 Product, vector      71 Properties of derivatives of vector functions      423 Properties of functions continuous at a point      183 Properties of functions having limits      172—173 377 Properties of infinitesimal functions      177 Properties of variables      195 Properties, interval      189 Proposition(s)      374 Proposition(s), conjunction of      374 Proposition(s), disjunction of      374 Proposition(s), false      354 Proposition(s), true      374 Quadratic form      123 360 Quadratic form, matrix of      123 360 Quadratic form, rank of      129 Quadratic form, signature of      129
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