Isbn: 9789380578033 - mathematical methods for engineers and physicists (1 Ergebnisse)

Second edition. Contents Preface 1 Differential equation 2 Linear differential equations of second order 3 Some special types of second order differential equations 4 Application of differential equations in solving physical and engineering problems 5 Series solution of a differential equation 6 Solution of some special differential equations 7 Fourier series 8 Partial differential equations 9 Numerical solution of differential equations 10 Special functions 11 Integral equations 12 Fourier transform 13 Calculus of variation 14 Functions of complex variables 15 Laplace transform 16 Z transform 17 Probability theory and statistics References Index The second revised and enlarged edition of this book introduces to the students of BEB Tech AMIETE and AMIE and courses the important application oriented areas of mathematics specially in the field of technology and general science It also caters to the requirements of the BSc Hons and MSc students of physics and mathematics as well as institutions offering extended mathematical training and follows the general trend of broadening the curriculum in mathematics The book comprises 17 chapters Almost all the chapters have dealt with various aspects of differential equations considering these as effective tools for modelling of phyiscal and engineering systems Solution of some special differential equations viz the Bessel Legendre Hermite Leguerre and Tschebyscheff have also been presented Numerical methods for solving differential equations have been presented and the solution methods to partial differential equations have been thoroughly covered Fourier series has been explained in a separate chapter and the theory of functions of complex variables and the variational calculus have been discussed along with their applications in engineering and physical systems The newly added chapters include Fourier transform Laplace transform Z transform and Probability theory and statistics Different aspects of direct and inverse transform have been added Laplace transform method being a very powerful tool for solving linear and non linear differential equations have been discussed Methods of solving integral equations have been discussed in a separate chapter The book is an indispensable companion to the readers on account of its wide discussion of varied subject matter and solution of plenty of examples in a crystal clear language 1028 pp.…