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A course of mathematics for engineers and scientists. Volume 2 /

A Course of Mathematics for Engineers and Scientists, Volume 2 continues the course of pure and applied mathematics for undergraduate science and engineering students. It contains further examples and exercises from examination papers from Oxford University, Cambridge University, and the University...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Chirgwin, Brian H. (Autor), Plumpton, C. (Charles) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford ; New York : Pergamon Press, 1972.
Edición:Second edition.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Chirgwin, Brian H.,  |e author. 
245 1 2 |a A course of mathematics for engineers and scientists.  |n Volume 2 /  |c Brian H. Chirgwin and Charles Plumpton. 
250 |a Second edition. 
264 1 |a Oxford ;  |a New York :  |b Pergamon Press,  |c 1972. 
300 |a 1 online resource (533 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
588 0 |a Online resource; title from PDF title page (Ebsco, viewed Feb. 25, 2015). 
500 |a First edition 1963. 
504 |a Includes bibliographical references and index. 
505 0 |a Front Cover; A Course of Mathematics for Engineers and Scientists; Copyright Page; Table of Contents; PREFACE TO THE SECOND EDITION; CHAPTER I.FIRST ORDER DIFFERENTIAL EQUATIONS; 1:1 Introduction-formation of differential equations; 1:2 Simple examples solved by direct integration; 1:3 Separable and homogeneous types; 1:4 First order linear equations-Bernoulli's equation; 1:5 Miscellaneous first order types; 1:6 Orthogonal trajectories and geometrical applications; 1:7 Application to dynamics-resisted motion; 1:8 Other applications; 1:9 Graphical methods; 1:10 Picard's method 
505 8 |a 1:11 The Taylor series method1:12 Step-by-step methods; 1:13 The use of difference formulae; CHAPTER II.LINEAR DIFFERENTIAL EQUATIONS; 2:1 Introduction and general principles; 2:2 Linear differential equations with constant coefficients-the operator D; 2:3 Homogeneous linear differential equations; 2:4 Simultaneous linear differential equations with constant coefficients; 2:5 Special methods for the solution of differential equations of the second order; 2:6 Separable partial differential equations; 2:7 Simple applications to particle dynamics; 2:8 Applications to electric circuits 
505 8 |a 2:9 Linear difference equations2:10 Step-by-step methods for second and higher order differential equations; 2:11 Predictor-corrector methods; 2:12 Build-up of error; CHAPTER III. LINEAR EQUATIONS, MATRICES AND DETERMINANTS; 3:1 Introduction; 3:2 Linear equations in two unknowns; 3:3 Matrix notation; 3:4 The determinant of a matrix; 3:5 Matrix algebra; 3:6 Some properties of determinants; 3:7 The solution of linear equations; 3:8 The use of triangular matrices; 3:9 Singular matrices; 3:10 Linear dependence; 3:11 Eigenvalues and eigenvectors 
505 8 |a CHAPTER IV. VECTOR ALGEBRA AND COORDINATE GEOMETRY OF THREE DIMENSIONS4:1 The concept of a vector; 4:2 Cartesian coordinates and elements; 4:3 The definitions of vectors and scalars; 4:4 The addition and subtraction of vectors; 4:5 The scalar product; 4:6 The vector product; 4:7 Triple products; 4:8 Surfaces in general; 4:9 Special characteristics of surfaces; 4:10 The sphere; 4:11 The standard equation of a quadric surface; 4:12 Curves in space; 4:13 Differentiation and integration of vectors with respect to a scalar parameter; CHAPTER V.PARTIAL DIFFERENTIATION 
505 8 |a 5:1 Continuity and partial derivatives5:2 Applications of the Mean Value Theorem; 5:3 Differentiation under the integral sign; 5:4 Taylor's theorem; 5:5 Tangent plane and normal to a surface; 5:6 Maxima and minima; 5:7 Conditional stationary points; 5:8 The Method of Least Squares; 5:10 Jacobian; CHAPTER VI.MULTIPLE INTEGRALS; 6:1 Area integrals; 6:2 Volume integrals; 6:3 Change in the order of integration in repeated integrals; 6:4 Change of variables in multiple integrals; 6:5 Applications of multiple integrals; 6:6 Some special integrals: Gamma and Beta Functions; ANSWERS TO THE EXERCISES 
520 |a A Course of Mathematics for Engineers and Scientists, Volume 2 continues the course of pure and applied mathematics for undergraduate science and engineering students. It contains further examples and exercises from examination papers from Oxford University, Cambridge University, and the University of London. The topics covered in this book include differential equations, linear equations, matrices and determinants, vector algebra and coordinate geometry, and differentiation and integration of functions of two or more variables. This book is intended as a reference for students taking science. 
650 0 |a Mathematics. 
650 0 |a Engineering mathematics. 
650 2 |a Mathematics  |0 (DNLM)D008433 
650 6 |a Math�ematiques.  |0 (CaQQLa)201-0068291 
650 6 |a Math�ematiques de l'ing�enieur.  |0 (CaQQLa)201-0021991 
650 7 |a MATHEMATICS  |x Essays.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Pre-Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Reference.  |2 bisacsh 
650 7 |a Engineering mathematics  |2 fast  |0 (OCoLC)fst00910601 
650 7 |a Mathematics  |2 fast  |0 (OCoLC)fst01012163 
700 1 |a Plumpton, C.  |q (Charles),  |e author. 
776 0 8 |i Print version:  |a Chirgwin, Brian H.  |t Course of mathematics for engineers and scientists. Volume 2.  |b 2d ed.  |d Oxford, New York, Pergamon Press [1970]-  |z 0080063888  |w (DLC) 74012416  |w (OCoLC)73890 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780080159706  |z Texto completo