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Ayres F. — Schaum's Outline of Theory and Problems of Differential Equations
Ayres F. — Schaum's Outline of Theory and Problems of Differential Equations



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Название: Schaum's Outline of Theory and Problems of Differential Equations

Автор: Ayres F.

Аннотация:

This book is designed primarily to supplement standard texts in elementary differential equations. All types of ordinary and partial differential equations found in eurrent texts, together with the various procedures for solving them, are included. Since the beginning student must be eoneerned largely with uia>tcring the methods of solving a variety of different type equations. it is felt that there is need for a comprehensive problem hook such as this. It should prove also of equal service to practicing engineers and scientists who feel the need for a review of the theory and problem work in this increasingly important field.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1952

Количество страниц: 297

Добавлена в каталог: 12.01.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Applications, geometric      41 75 133 178
Applications, physical      49 133 178
Approximation, numerical      186
Arbitrary constant      1 78 231
Arbitrary function      232
Auxiliary system      239
Beams      134
Bernoulli’s equation      35
Bessel equation      222
Bessel functions      222
C-discriminant      69
Cauchy linear equation      108
Characteristic equation, complex roots      83
Characteristic equation, distinct real roots      83
Characteristic equation, repeated roots      83
Charpit’s method      247
Clairaut equation      62
Complementary function      79 257 266
Complete solution of ordinary differential equation      79
Complete solution of partial differential equation      240 244
Conditions for exactness      24 165
Conditions for integrability      164
Conditions for linear independence      78
Damping factor      134
Differential equation non-homogeneous, partial, irreducible      268
Differential equation non-homogeneous, partial, reducible      265
Differential equation non-linear partial      244 280
Differential equation numerical solution      186
Differential equation partial, first order      238
Differential equation partial, higher order, constant coefficients      255 265
Differential equation partial, higher order, variable coefficients      276
Differential equation solution in series      197
Differential equation total      164
Differential equation, Bernoulli      35
Differential equation, Bessel      222
Differential equation, Clairaut      62
Differential equation, exact      12 24 123
Differential equation, extended Clairaut      246
Differential equation, first order, first degree      12 24 35
Differential equation, first order, higher degree      61
Differential equation, Gauss      223
Differential equation, homogeneous ordinary      15 78 82
Differential equation, homogeneous partial      255
Differential equation, Legendre      220
Differential equation, Legendre linear      108
Differential equation, linear of order n      78 123
Differential equation, linear of order one      13 35
Differential equation, linear of order two      111
Differential equation, linear, partial, first order      238
Differential equation, linear, partial, higher order      276
Differential equation, systems of      157
Direction field      8
Electric circuits      57 136
exact equations      12 24 123
Existence theorem      7
Extended Clairaut equation      246
Extraneous loci      68
First derivative method      187
Functions, Bessel      222
Functions, complementary      79 257 266
Functions, homogeneous      15
Gauss equation      223
General solution of ordinary differential equation      7
General solution of partial differential equation      238 256 265
Harmonic motion      134
Homogeneous equation      15
Homogeneous function      15
Homogeneous linear equation      78 82 255
Hooke’s law      55
Hypergeometric series      223
Indicial equation      208
Infinite series      197
Integral curve      7
Integrating factor      12 24
Intermediate integral      280
Kutta’s Simpson’s method      188
Lagrange system      239
Laplace’s transformation      278
Legendre equation      220
Legendre linear equation      108
Legendre polynomial      221
Linear ordinary differential equation of order n      78
Linear ordinary differential equation of order one      13 35
Linear ordinary differential equation with known particular integral      123
Linear partial differential equation      238 276
Loci, extraneous      68
Monge’s method      280
Newton’s Law of Cooling      51
Newton’s second law of motion      49
Non-homogeneous linear partial differential equation, irreducible      268
Non-homogeneous linear partial differential equation, reducible      265
Non-linear partial differential equation      244 280
Operators, factorization of operators      112
Order of differential equation      1
Order, reduction of      122
Origin of ordinary differential equation      1
Origin of partial differential equation      231
Orthogonal trajectories      43
p-discriminant      69
Parameters, variation of      93
Partial differential equations      1 231
Partial fractions, method of      88
Particular integral      79 257 266
Particular solution      7
Picard’s method      186
primitive      1
Recursion formula      198
Reduction of order      122
Regular singular point      206
Runge’s method      188
Separation of variable      15
Series Taylor      187
Series, hypergeometric      223
Series, solution in      197
Short methods ordinary differential equation      99
Short methods partial differential equation      266
Simultaneous equations      157
Singular point      199
Singular solution      7 67 244
Solutions in series      197
Solutions, complete      79 240 244
Solutions, general      7 238
Solutions, particular      7
Solutions, singular      7 67 244
springs      140
Systems of equations      157
Taylor series      187
Total differential equation      164
Trajectories      43
Undetermined coefficients, method of      9
Variables separable      13 15
Variation of parameters      93
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