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A course of mathematics for engineers and scientists. Volume 4 /
A Course of Mathematics for Engineers and Scientists offers a mathematics course for undergraduate students reading science and engineering at British and Commonwealth Universities and colleges. The aim of this volume is to generalize and develop the ideas and methods of earlier volumes so that the...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford :
Pergamon Press,
1964.
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| Colección: | Pergamon international library of science, technology, engineering, and social studies.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; A Course of Mathematics for Engineers and Scientists; Copyright Page; Table of Contents; Preface; CHAPTER I. VECTOR ANALYSIS ; 1:1 Transformation of coordinates; 1:2 Scalar fields : gradient; 1:3 Vector fields; 1:4 Line and surface integrals; 1:5 Applications to vector analysis; 1:6 Green's theorem; 1:7 Discontinuities: surface derivatives; 1:8 Uniqueness theorems and Green's function; 1:9 Variation with time; 1:10 Orthogonal curvilinear coordinates; 1:11 Suffix notation and the summation convention; 1:12 Cartesian tensors; CHAPTER II. THE SOLUTION OF SOME DIFFERENTIAL EQUATIONS
- 2:1 Laplace's equation in two and three dimensions 2:2 Solution in series of ordinary differential equations; 2:3 The behaviour of the solution of a differential equation; 2:4 Eigenvalues: Sturm-Liouville systems; CHAPTER III. SOME SPECIAL FUNCTIONS; 3:1 Bessel functions; 3:2 Legendre polynomials; 3:3 Other special functions; CHAPTER IV. THE DIFFERENTIAL EQUATIONS OF FIELD LINES AND LEVEL SURFACES; 4:1 Introduction; 4:2 Field lines; 4:3 Lagrange's partial differential equation; 4:4 Level surfaces and orthogonal trajectories; CHAPTER V. MATRICES; 5:1 Introduction and notation
- 5:2 Matrix algebra5:3 The rank of a matrix: singular matrices; 5:4 The reciprocal of a square matrix; 5:5 Partitioned matrices; 5:6 The solution of linear equations; 5:7 Vector spaces; 5:8 Eigenvalues and eigenvectors; 5:9 Quadratic forms; 5:10 Simultaneous reduction of quadratic forms; 5:11 Multiple eigenvalues; 5:12 Hermitian matrices; BIBLIOGRAPHY; ANSWERS TO THE EXERCISES; INDEX