ISBN 9788120328990,Engineering Mathematics (Volume Ll)

Engineering Mathematics (Volume Ll)



Phi Learning Private Ltd

Publication Year 2009

ISBN 9788120328990

ISBN-10 812032899X


Number of Pages 288 Pages
Language (English)


This comprehensive text is designed in such a manner that even an average student can comprehend the subject with ease. The text begins with the Fourier series expansions and harmonic analysis. The formation and solution of partial differential equations and its applications in elastic string, one- and two-dimensional heat flow are explained in detail. Also it deals with Fourier transforms, including sine and cosine transforms and their properties. The text concludes with Z transforms and its application in solving difference equations. This textbook is intended to cater to the needs of the undergraduate engineering students of all branches. Key Features: Concise and clear presentation of basic concepts Step by step derivation of results Variety of problems arranged in a graded manner Practice exercises at the end of sections Answers to unsolved problems Table of Contents Preface 1. Fourier Series Introduction Change of Interval Even and Odd Functions Half Range Expansions Fourier Series of Some Frequently Used Functions Root Mean Square Value of a Function (Parseval's Theorem) Exponential Form with Complex Coefficients of Fourier Series Practical Harmonic Analysis Points to Remember 2. Partial Differential Equations Introduction Formation of Partial Differential Equation Solution of Partial Differential Equation in Some Simple Cases Standard Types Partial Differential Equation of Higher Order Points to Remember 3. Applications of Partial Differential Equations Introduction Transverse Vibrations of a Stretched Elastic String One-dimensional Heat Flow Thermally Insulated Ends Two-dimensional Heat Flow Points to Remember 4. Fourier Transforms Definition Complex Form of Fourier Integral Complex Fourier Transform Properties of Fourier Transforms Infinite Fourier Cosine and Sine Transform Properties of Sine and Cosine Transform Convolution of Two Functions Finite Fourier Transforms Points to Remember 5. Z Transforms Introduction Definition of Z Transform Properties and Theorems of Z Transform Inverse Z Transform Applications of Z Transform to Difference Equations Points to Remember Index