Электронная библиотека Попечительского совета механико-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 Glenn O.E. — A Treatise on the Theory of Invariants Обсудите книгу на научном форуме Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter Название: A Treatise on the Theory of Invariants Автор: Glenn O.E. Язык: Рубрика: Математика/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1915 Количество страниц: 245 Добавлена в каталог: 25.03.2006 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель Absolute covariants      2 42 Algebraically complete systems      see “fundamental systems” Anharmonic ratio      3 Annihilators: binary      25 Annihilators: ternary      189 Anti-seminvariants      176 179 Apolarity      51 173 Arithmetical invariants      12 32 48 157 Aronhold's polar operators      46 Associated forms      158 Bezout's resultant      168 Bilinear invariants      51 Boolean concomitants of a linear form      156 Boolean concomitants of a quadratic      157 Canonical forms: binary cubic      108 Canonical forms: binary quartic      111 Canonical forms: binary sextic      112 Canonical forms: ternary cubic      111 Class of ternary form      230 Classes in modular theory      204 Co variant curves      171 Cogrediency      20 Combinants      162 Complete system: absolutely      129 Complete system: relatively      130 Conic, system of      224 Contragrediency      212 Contravariants      228 conversion operators      70 Convolution      93 220 coordinates      15 Covariants: definition      23 Covariants: systems      144—161 Covariants: universal      32 Cubic, binary: canonical form      108 Cubic, binary: fundamental system      68 100 141 Cubic, binary: syzygy      107 110 161 Cubic, ternary: canonical form      111 Cubic, ternary: fundamental system      225 Cubic, ternary: semi-discrimiuants      193 Degree      20 Determinant, symbolical      55 170 Differential equation, satisfied by combinants      163; see “also annihilators” Differential invariant      9 Diophantine equations      116 Discriminant      4 31 Eliminant      30 End coefficients      179 Euler's theorem      44 Existence theorem      40 Factors of forms      69 191 Fermat's theorem      14 21 Finiteness: algebraical concomitants      66 Finiteness: formal-modular concomitants      204 Finiteness: modular concomitants      204 Formal modular concomitants      12 157 Fundamental systems      144 161 204 223 225 Geometry of point ranges      78 Gordan's proof of Hilbert's theorem      112 Gordan's series      83 Gordan's Theorem      128 Grade of binary concomitant      123 Grade of ternary concomitant      220 Group of transformations      18 Group, the induced group      19 Harmonically conjugate      6 Hermite's reciprocity theorem      76 Hesse's canonical form      111 Hessians      28 Hilbert's theorem      112 Identities, fundamental: binary      66 Identities, fundamental: ternary      218 INDEX      34 Induced group      19 Inflexion points      171 Intermediate concomitants      47 Invariant area      1 Invariants: formal modular      157 204 Invariants: fundamental systems      144—161 Invariants: modular      203 Involution      78 Irreducible systems      see “fundamental systems” Isobarism      35 Jacobians      27 Jordan's lemma      119 Line equation of conic      223 Line equation of cubic      229 Line equation of form of order m      230 Linear transformations      15 Linearly independent seminvariants      178 205 Mixed concomitants      228 Modular: concomitants      203 Modular: forms      203 Modular: transformation      12 Operators      see “annihilators” Operators, Aronhold      46 operators, conversion      70 Parametric representation      169 Partitions      238 Polars      42 Projective properties      78 Quadratic      65 Quadric      225 Quartic      89 Quaternary form      33 Quintic      147 Range of points      78 Rational curves      169 Reciprocity, Hermite's law      76 Reduction      64 83 Representation, typical      159 Resultants      29 166 168 Resultants in Aronhold's symbols      151 Robert's theorem      179 Roots, concomitants in terms of      69 Semi-discriminants      193 Seminvariants: algebraic      175 Seminvariants: modular      205 Sextic, canonical form of      112 Simultaneous concomitants      23 Skew concomitants      39 Standard method of transvection: binary      57 Standard method of transvection: ternary      219 Stroh's series      89 Symbolical theory: binary      53 Symbolical theory: ternary      209 Symmetric funtions: binary      69 Symmetric funtions: ternary      191 Symmetry      39 Syzygies: algebraic      104 Syzygies: modular      208 Tables: I. Concomitants of binary cubic      68 Tables: II. Concomitants of binary quartic      89 Tables: III. System of quadratic and cubic      147 Tables: IV. System of quintic      150 Tables: V. Semi-discriminants of ternary cubic      200 Tables: VI. Modular system of quadratic      204 Tables: VII. System of ternary cubic      225 Ternary quantics: fundamental systems      223 225 Ternary quantics: symbolical theory      209 Ternary quantics: transvection      219 Transformations, non-linear      9; see “linear transformations” Transformed form: binary      16 Transformed form: ternary      187 Translation principle: Clebsch's      228 Translation principle: Meyer's      169 Transvectants, binary: definition      51 Transvectants, binary: theorems on      92 Transvectants, ternary: definition      209 219 Transvectants, ternary: theorems on      220 Types      48 Typical representation      159 Uniqueness of canonical reduction      109 112 Universal covariants      32 212 Weight      34 Реклама        © Электронная библиотека попечительского совета мехмата МГУ, 2004-2025 | | О проекте