Introduction to calculus and analysis / Richard Courant, Fritz John (Record no. 16510)
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| 000 -CABECERA | |
|---|---|
| campo de control de longitud fija | 03713nam a22004697a 4500 |
| 008 - LONGITUD FIJA | |
| campo de control de longitud fija | 140202b ck ||||| |||| 00| 0 spa d |
| 100 1# - AUTOR PERSONAL | |
| nombre | Courant, Richard |
| 9 (RLIN) | 38386 |
| 245 10 - TÍTULO PROPIAMENTE DICHO | |
| título | Introduction to calculus and analysis / Richard Courant, Fritz John |
| 264 ## - PIE DE IMPRENTA | |
| lugar (ciudad) | New York : Interscience Publishers, 1965 |
| 300 ## - DESCRIPCIÓN FÍSICA | |
| Extensión | Vol. 1 - xxiii, 661 p. ; 23 cm. |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | The continuum of numbers -- The concept of function -- The elementary functions -- Sequences -- Mathematical |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | induction -- The limited of a sequence -- Further discussion of the concept of limit -- The concept of limit |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | for functions of a continous variable -- Limits and the number concept -- Theorems on continuous functions -- |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | Polar coordinates -- Remarks on complex numbers -- The fundamental ideas of the integral and differential |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | calculus -- The integral -- Elementary examples of integration -- Fundamental rules of integration -- The |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | integral as a function of the upper limit (Indifinite integral) -- Logarithm defined by an integral -- |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | Exponiental function and powers -- The integral of an arbitrary power of x --The derivative -- The integral, |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | the primitive function, and the fundamental theorems of the calculus -- The techniques of calculus -- |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | Differentiation and integration of the elementary functions -- The simplest rules for differentiation and |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | their applications -- The derivative of the inverse function -- Differentiation of composite functions -- Some |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | applications of the exponential function -- The hyperbolic functions -- Maxima and minima -- The order of |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | magnitude of functions -- Techniques of integration -- Table of elementary integrals -- The method of |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | substitution -- Further examples of the substitution method -- Integration by parts -- Integration of rational |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | functions -- Integration of some other claseses of functions -- Integrals of elementary functions -- Extension |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | of the concept of integral -- The differential equations of the trigonometric functions -- Applications in |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | Physics and Geometry -- Theory of plane curves -- Vectors in two dimensions -- Motion of a particle under |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | given forces -- Free fall of a body resisted by air -- The simplest type of elstic vibration -- Motion on a |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | given curve -- Motion in a gravitational field -- Work and energy -- Taylor´s expansion -- Expansion of the |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | Logarithm and the inverse tangent -- Taylor´s theorem -- Expression and estimates for the remainder -- |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | Expansions of the elementary functions -- Numerical meethods -- Computation of integrals -- Other examples of |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | numerical methods -- Numerical solution of equations -- Infinite sums and products -- The concepts of |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | convergence and divergence -- Sequences of functions -- Expasion of given functions in power series. Method of |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | undetermined coefficient -- Trigonometric series -- Periodic functions -- Superposition of harmonic vibrations |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | -- Fourier series -- Further discussion of convergence -- Aproximation by Trigonometric and rational |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | polynomials -- Differential equations for the simplest types of vibration -- Vibration problems of mechanics |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | and physics -- Solution of the homogeneous equation. Free oscillations -- The nonhomogeneous equation. Forced |
| 505 00 - NOTA DE CONTENIDO | |
| Nota de contenido | oscillations -- |
| 700 1# - COAUTOR PERSONAL | |
| Nombre de persona | John, Fritz |
| 9 (RLIN) | 51706 |
| 082 04 - CLASIFICACIÓN DECIMAL DEWEY | |
| Clasificación | 515 / C858i |
| 650 14 - MATERIA GENERAL | |
| Término de materia o nombre geográfico como elemento inicial | Calculo |
| 9 (RLIN) | 102208 |
| 650 14 - MATERIA GENERAL | |
| Término de materia o nombre geográfico como elemento inicial | Analisis matematico |
| 9 (RLIN) | 100313 |
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