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     Bronson R. — Differential Equations Crash Course Обсудите книгу на научном форуме Нашли опечатку?Выделите ее мышкой и нажмите Ctrl+Enter Название: Differential Equations Crash Course Автор: Bronson R. Аннотация: What could be better than the bestselling Schaum's Outline series? For students looking for a quick nuts-and-bolts overview, it would have to be Schaum's Easy Outline series. Every book in this series is a pared-down, simplified, and tightly focused version of its bigger predecessor. With an emphasis on clarity and brevity, each new title features a streamlined and updated format and the absolute essence of the subject, presented in a concise and readily understandable form. Graphic elements such as sidebars, reader-alert icons, and boxed highlights feature selected points from the text, illuminate keys to learning, and give students quick pointers to the essentials. Язык: Рубрика: Математика/Анализ/Дифференциальные уравнения/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2003 Количество страниц: 136 Добавлена в каталог: 06.04.2005 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель
 Adams — Bashforth — Moulton method      109 111—112 Amplitude      53 Analytic functions      86—87 Archimedes' principle      51 Bernoulli equations      6 14 Bessel functions      99—100 Boundary-value problems      5 115—120 Buoyancy problems      51—52 Characteristic equations      34—35 73 Circular frequency      53 Classifying solutions      52—53 Coefficients      See constant coefficients; undetermined coefficients; variable coefficients Completing the square      58 Constant coefficients      30 Constant coefficients, Laplace transforms solutions      66—67 Constant coefficients, linear equations      79—83 Constant matrix      70 Convolutions      59—60 Critically damped motion      53 Damped motion      53 Decay problems      20—21 Defining properties      10—11 Denominators      58—59 derivatives      65—66 72 Differential equations      See also linear differential equations applications; 20—26 Differential equations, classifying      5—7 Differential equations, definitions      2—5 Differential equations, first-order      8—14 20—26 105—112 Differential equations, general solutions      4—5 Differential equations, notation      3 Differential equations, order      3 Differential equations, particular solutions      4 Differential equations, solutions      3—5 8—14 Differential forms      5—6 Dilution problems      23—25 Direction fields      105 Dummy index      101 Eigenfunctions      117 119—120 eigenvalue problems      117 Eigenvalues      117 Electrical circuit problems      49—51 electrical circuits      25—26 Equations      See also differential; linear differential Equations, Bernoulli      6 14 Equations, characteristic      34—35 73 Equations, exact      7 10—12 Equations, homogeneous      6—7 9—10 30 87—88 Equations, indicial      91 Equations, n-th order      34—35 Equations, nonhomogeneous      32 39—44 88—89 Equations, ordinary differential      2 Equations, partial differential      2—3 Equations, second-order      34 35—36 Equations, separable      7 Equilibrium position      47 Euler's method      106 108 111 exact equations      7 10—12 Falling body problems      21—22 First-order differential equations      8—14 First-order differential equations, applications      20—26 First-order differential equations, numerical methods      105 -112 First-order systems      79—83 110 Forced motion      53 Fourier series      120—121 Free motion      52—53 Froebenius, method of      90—91 Functions, Bessel      99—100 Functions, gamma      98—99 Gamma functions      98—99 general solutions      4—5 32 Growth problems      20—21 Homogeneous equations      6—7 9—10 30 87—88. Hooke's law      48—49 Identity matrix      72 Independent variables      57 Indicial equation      91 Initial-value problems      5 9 44 82 89 integral      72 Integrating factors      11—12 Inverse Laplace transforms      57—58 Isoclines      105 Kirchhoff 's law      50 Laplace transforms      56—62 124—132 Laplace transforms, inverse      57—58 Laplace transforms, solutions by      65—67 Laws, Hooke's      48—49 Laws, Kirchhoff's      50—51 Laws, Newton's of cooling      21 Laws, Newton's second of motion      22 Line elements      105 Linear differential equations      6 12—14 Linear differential equations, first-order      105—112 Linear differential equations, homogeneous      30 34—37 39—44 Linear differential equations, nonhomogeneous      39—44 Linear differential equations, reduction to first-order system      79—83 Linear differential equations, second-order      47—53 86 115—117 Linear differential equations, solutions      34—37 79—83 Linear differential equations, theory of solutions      29—32 Linear systems      67 Linearly dependent solutions      31 Linearly independent solutions      31 Matrices      70—75 Matrix addition      71 Matrix exponential      73 -75 Matrix multiplication      71 Matrix solution methods      79—83 Method of Frobenius      90—91 Method of undetermined coefficients      40—42 Methods, Adams — Bashforth — Moulton      109 111—112 Methods, Euler's      106 108 111 Methods, Frobenius      90—91 Methods, modified Euler's      108 Methods, numerical for first-order equations      105—112 Methods, predictor-corrector      108 Methods, Runge — Kutta      108—109 111 Methods, undetermined coefficients      40—42 Modified Euler's method      108 Motion      52—53 Natural frequency      53 Natural length      49 Newton's law of cooling      21 Newton's Second Law of Motion      22 Nonhomogeneous equations      32 39—44 88—89 Notation      3 nth-order equations      34—36 Numerators      59 Numerical instability      107 Numerical methods      105—112 Ordinary differential equations      2 Ordinary points      87 Orthogonal trajectories      26 Oscillatory damped motion      53 Overdamped motion      53 Partial differential equation      2—3 Partial fractions      58—59 Particular solutions      4 Period      53 Phase angle      53 Power series      86—92 Power series method      87—88 Predictor-corrector method      108 Problems, boundary-value      5 115—120 Problems, buoyancy      51—52 Problems, decay      20—21 Problems, dilution      23—25 Problems, eigenvalue      117 Problems, electrical circuit      49—51 Problems, falling body      21—22 Problems, growth      20—21 Problems, initial-value      44 82 Problems, spring      47—49 Problems, Sturm — Liouville      117—118 Problems, temperature      21 Recurrence formula      88 Regular singular points      89—90 Runge — Kutta method      108—109 111 Scalar multiplication      71 Second-order equations      34 35—36 Second-order linear differential equations      47—53 86 115—117 separable equations      7 simple harmonic motion      53 Solutions      3—5 Solutions, classifying      52—53 Solutions, first-order differential equations      8—14 Solutions, initial-value problems      82 Solutions, Laplace transforms      65—67 Solutions, linear differential      34—37 79—83 Solutions, linear systems      67 Solutions, linearly dependent      31 Solutions, linearly independent      31 Solutions, matrix methods      79—83 Solutions, no initial conditions      82—83 Solutions, particular      4 Solutions, power series      86—92 Solutions, theory of      29—32 Spring problems      47—49 Square matrix      70 Standard forms      5—6 Steady-state motion      53 Step sizes      107 Sturm — Liouville problems      117—118 Temperature problems      21 Transient motion      53 Translations      61—62 Undamped motion      53 Underdamped motion      53 Undetermined coefficients      40—42 Unit step function      60—61 Variable coefficients      30 86 Variation of parameters      42—44 Vectors      70 Wronskian, the      31—32 Реклама     © Электронная библиотека попечительского совета мехмата МГУ, 2004-2021 | | О проекте