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 Ruiz J.M. — The basic theory of power series Обсудите книгу на научном форуме Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter Название: The basic theory of power series Автор: Ruiz J.M. Язык: Рубрика: Математика/Алгебра/Абстрактная алгебра/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1993 Количество страниц: 134 Добавлена в каталог: 05.03.2005 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель 2-real domain      42 Abhyankar's Parametrization      29 Algebraic power series      106 Algebraictry of an isolated hypcrsurface singularity      92 Anaiyticity of the function associated to convergent power series      10 Analytic completion of a local algebraic ring      111 Analytic completion of a Nash ring      109 Analytic homomorphism      16 Analytic ring      16 Analyticity of integral closures      49 Annihilator of a modulo      38 Artin — Schreier's Criterion      80 Birational equivalence to a hypersurface      30 Branches of a 1-dimensional reduced analytic ring      53 Chain rule      9 Chevalley's Theorem      112 Classical Implicit Functions Theorem      36 Classical Inverse Function Theorem      36 Coefficient field      16 109 110 Completion of a local ordering      125ff Completion of the normalization of a local algebraic domain      122ff Completion of the normalization of an analytic ring      104 Complexification      39 Conjugation      39ff Contractive map      12 Convergent power series      4 Convergent Puiseux series      59 Convex ideal      125 Derivatives of a power series      9ff Derivatives of an algebraic power series      107 Distinguished polynomial      11 Domain of a power series      4 Efroymson's Theorem      129 Equidimensionality Jacobinn Criterion      37 Equivalent power series      91 Factorization of a distinguished polynomial      22 Finite homomorphism      18 Finitehess of integral closures      27 Fixed point theorem      15 Flatness      100 112 Formal completion of a local algebraic ring      111 Formal completion of a Nash ring      109 Formal completion of an analytic ring      99 Formal homomorphism      16 Formal power series      4 Formal Puiseux series      58 Formal ring      16 Formally real domain      73 Function associated to a convergent power series      5 Function associated to a formal power series      64 Generic changes of coordinates      25 Geometric characterization of dimension in the complex case      70 Geometric characterization of finiteness in the complex case      70 Height of an ideal      22 Hensel's lemma      14 Hessian matrix      72 Hilbert's 17th Problem for power series with real coefficients      81 Homomorphism theorem      74 Hypersurface singularity      71 Identity Principle      11 Infinitesimal element      64 126 Invertthio convergent power series      9 Invertthio formal power series      7 Isolated hypersurface singularity      71 Isolated singularity      67 Iterated series      3 Jacobian ideal      31 Leibnitz formula      9 Local algebraic homomorphism      110 Local algebraic ring      110 Local ordering      125 Local Parametrization Theorem      35 Locally real domain      126 M.Artin's Approximation Theorem      94 Mather's Finitehess Theorem      18 Milnor number      72 Morse singularity      72 Morse's lemma      93 Motzkin's counterexample      84 Multiplicity compared through normalization      54ff Multiplicity of a 1-dimensional reduced analytic ring      53 Multiplicity of a planar ring      56 Nagata's comparison results      101ff Nash completion of a local algebraic ring      111 Nash homomorphism      109 Nash ring      109 Newton-Puiseux's Theorem      61 Noether's Projection Lemma      24 Normal analytic (rcsp. formal) ring      49 Normalization of a 1-dimensional reduced analytic ring      54 Normalization of a local algebraic domain      120 Normalization of a reduced aualytic ring      49 51 Normalization of the complexification of a reduced analytic (resp. formal) ring over the reals      52 Operations with power series      6ff Order of a power series      4 Ordering of a domain      73 Ordering of the ring of Puiseux series over the reals      73 Positive semidefinite power series      81 Positive semidefinite power series in two indeterminates      85 Primitive Element Theorem      24 Quadratic transform      57ff Quasifinite homomorphism      18 Real radical      79 Reduced ring      41 Regular point of dimension 1 of a zero set      67 Regular power series      11 Regular systems of parameters of a ring of power series      29 35 Regularity ideal      31 Regularity Jacobian Criterion      32 Risler's Nullstellensatz      78 Roots of invertible power series      37 Rueckcrt's Parametrization      27ff Rueckert's Division Theorem      11 Rueckert's Division Theorem for algebraic power series      108 Rueckert's Nullstellensatz      68 Schwartz Rule      9 Serre's criterion      105 Singular point of dimension 1 of a zero set      67 Standard Sturm's sequence      77 Sturm's theorem      77 Substitution of algebratic power series      106i' Substitution of power series      7 Sum of a series      1 Summahie family of power series      6 Taylor expansion      9 Tougeron's Implicit Functions Theorem      89 Transversal changes of coordinates      22ff Uniform convergence of a power series      4 Weierstrass's Preparation Theorem      14 Whitney's umbrella      78 Zariski's Condition D      115 Zariski's main theorem      117 Zero idel      65 Zero set      64 Реклама        © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024 | | О проекте