Mathematical Methods for Engineers and Physicists
Mathematical Methods for Engineers and Physicists

Tags: NA, Mathematical Methods for Engineers and Physicists, A.K. Mukhopadhyay

Mathematical Methods for Engineers and Physicists

The second revised and enlarged edition of this book introduces to the students of B.E., B.Tech., AMIETE and AMIE 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 B.Sc.(Hons.) and M.Sc. 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 physical 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.
  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  Partial Differential Equations  
  8. Numerical Solution of Differential Equations  
  9. Special Functions  
  10. Integral Equations  
  11. Fourier Transform  
  12. Calculus of Variation  
  13. Functions of Complex Variables  
  14. Laplace Transform  
  15. Z-Transform  
  16. Probability Theory and Statistics
• This second edition includes chapters on Fourier Transform, Laplace Transform,
  Z-Transform, and Probability and Statistics.
• Each topic of every chapter is further explained with the help of solved examples.
• Proofs of theorems and derivations of relationships have been given appropriately.
• End-of-the-chapter exercises with solutions are provided.
• It further elaborates the theory of test of significance in the appendix.

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