Differential equations / (Registro nro. 10955)

Detalles MARC
000 -Cabecera
Campo de control de longitud fija 05300nam a2200277 a 4500
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Identificador del número de control AR-sfUTN
008 - Códigos de información de longitud fija-Información general
Códigos de información de longitud fija 170717s1984 nyu||||| |||| 00| 0 eng d
020 ## - ISBN
ISBN 0471032948
040 ## - Fuente de la catalogación
Centro transcriptor AR-sfUTN
041 ## - Código de lengua
Código de lengua del texto eng
080 ## - CDU
Clasificación Decimal Universal 517.9 R733
Edición de la CDU 2000
100 1# - Punto de acceso principal-Nombre de persona
Nombre personal Ross, Shepley L.
245 10 - Mención de título
Título Differential equations /
Mención de responsabilidad Shepley L. Ross.
250 ## - Mención de edición
Mención de edición 3rd.
260 ## - Publicación, distribución, etc. (pie de imprenta)
Lugar de publicación, distribución, etc. New York :
Nombre del editor, distribuidor, etc. John Wiley and Sons,
Fecha de publicación, distribución, etc. 1984
300 ## - Descripción física
Extensión 807 p.
336 ## - Tipo de contenido
Fuente rdacontent
Término de tipo de contenido texto
Código de tipo de contenido txt
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Fuente rdamedia
Nombre del tipo de medio sin mediación
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Fuente rdacarrier
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Código del tipo de soporte nc
505 80 - Nota de contenido con formato
Nota de contenido con formato CONTENIDO<br/>PART ONE. FUNDAMENTAL METHODS AND APPLICATIONS<br/>One. Differential Equations and Their Solutions 3<br/>1.1 Classification of Differential Equations; Their Origin and Application 3<br/>1.2 Solutions 7<br/>1.3 Initial- Value Problems, Boundary-Value Problems, and Existence of Solutions 15<br/>Two. First-Order Equations for Which Exact Solutions Are Obtainable 25<br/>2.1 Exact Differential Equations and Integrating Factors 25<br/>2.2 Separable Equations and Equations Reducible to This Form 39<br/>2.3 Linear Equations and Bernoulli Equations 49<br/>2.4 Special Integrating Factors and Transformations 61<br/>Three. Applications of First-Order Equations 70<br/>3.1 Orthogonal and Oblique Trajectories 70<br/>3.2 Problems in Mechanics 77<br/>3.3 Rate Problems 89<br/>Four. Explicit Methods of Solving Higher-Order Linear Differential Equations 102<br/>4.1 Basic Theory of Linear Differential Equations 102<br/>4.2 The Homogeneous Linear Equation with Constant Coefficients 125<br/>4.3 The Method of Undetermined Coefficients 137<br/>4.4 Variation of Parameters 155<br/>4.5 The Cauchy-Euler Equation 164<br/>4.6 Statements and Proofs of Theorems on the Second-Order Homogeneous Linear Equation 170<br/>Five. Applications of Second-Order Linear Differential Equations with Constant Coefficients 179<br/>5.1 The Differential Equation of the Vibrations of a Mass on a Spring 179<br/>5.2 Free, Undamped Motion 182<br/>5.3 Free, Damped Motion 189<br/>5.4 Forced Motion 199<br/>5.5 Resonance Phenomena 206<br/>5.6 Electric Circuit Problems 211<br/>Six. Series Solutions of Linear Differential Equations 221<br/>6.1 Power Series Solutions About an Ordinary Point 221<br/>6.2 Solutions About Singular Points; The Method of Frobenius 233<br/>6.3 Bessel's Equation and Bessel Functions 252<br/>Seven. Systems of Linear Differential Equations 264<br/>7.1 Differential Operators and an Operator Method 264<br/>7.2 Applications 278<br/>7.3 Basic Theory of Linear Systems in Normal Form: Two Equations in Two Unknown Functions 290<br/>7.4 Homogeneous Linear Systems with Constant Coefficients: Two Equations in Two Unknown Functions 301<br/>7.5 Matrices and Vectors 312<br/>7.6 The Matrix Method for Homogeneous Linear Systems with Constant Coefficients: Two Equations in Two Unknown Functions 346<br/>7.7 The Matrix Method for Homogeneous Linear Systems with Constant Coefficients: n Equations in n Unknown Functions 355<br/>Eight. Approximate Methods of Solving First-Order Equations 377<br/>8.1 Graphical Methods 377<br/>8.2 Power Series Methods 384<br/>8.3 The Method of Successive Approximations 390<br/>8.4 Numerical Methods 394<br/>Nine. The Laplace Transform 411<br/>9.1 Definition, Existence, and Basic Properties of the Laplace Transform 411<br/>9.2 The Inverse Transform and the Convolution 431<br/>9.3 Laplace Transform Solution of Linear Differential Equations with Constant Coefficients 441<br/>9.4 Laplace Transform Solution of Linear Systems 453<br/>PART TWO. FUNDAMENTAL THEORY AND FURTHER METHODS<br/>Ten. Existence and Uniqueness Theory 461<br/>10.1 Some Concepts from Real Function Theory 461<br/>10.2 The Fundamental Existence and Uniqueness Theorem 473<br/>10.3 Dependence of Solutions on Initial Conditions and on the Function 488<br/>10.4 Existence and Uniqueness Theorems for Systems and Higher-Order Equations 495<br/>Eleven. The Theory of Linear Differential Equations 505<br/>11.1 Introduction 505<br/>11.2 Basic Theory of the Homogeneous Linear System 510<br/>11.3 Further Theory of the Homogeneous Linear System 522<br/>11.4 The Nonhomogeneous Linear System 533<br/>11.5 Basic Theory of the nth-Order Homogeneous Linear Differential Equation 543<br/>11.6 Further Properties of the nth-Order Homogeneous Linear Differential Equation 558<br/>11.7 The nth-Order Nonhomogcneous Linear Equation 569<br/>11.8 Sturm Theory 573<br/>Twelve. Sturm-Liouville Boundary-Value Problems and Fourier Series 588<br/>12.1 Sturm-Liouville Problems 588<br/>12.2 Orthogonality of Characteristic Functions 597<br/>12.3 The Expansion of a Function in a Series of Orthonorma Functions 601<br/>12.4 Trigonometric Fourier Series 608<br/>Thirteen. Nonlinear Differential Equations 632<br/>13.1 Phase Plane, Paths, and Critical Points 632<br/>13.2 Critical Points and Paths of Linear Systems 644<br/>13.3 Critical Points and Paths of Nonlinear Systems 658<br/>13.4 Limit Cycles and Periodic Solutions 692<br/>13.5 The Method of Kryloff and Bogoliuboff 707<br/>Fourteen. Partial Differential Equations 715<br/>14.1 Some Basic Concepts and Examples 715<br/>14.2 The Method of Separation of Variables 722<br/>14.3 Canonical Forms of Second-Order Linear Equations with Constant Coefficients 743<br/>14.4 An Initial Value Problem; Characteristics 757<br/>Appendices 771<br/>Answers 777<br/>Suggested Reading 801<br/>Index 803
650 ## - Punto de acceso adicional de materia - Término de materia
Término de materia DIFFERENTIAL EQUATIONS
650 ## - Punto de acceso adicional de materia - Término de materia
Término de materia ECUACIONES DIFERENCIALES
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Tipo de ítem Koha Libro
Esquema de clasificación Clasificación Decinal Universal
Existencias
Estado Estado perdido Estado de conservación Tipo de préstamo Biblioteca Biblioteca Fecha de adquisición Número de inventario Total Checkouts ST completa de Koha Código de barras Date last seen Precio efectivo a partir de Tipo de ítem Koha
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