Title      : Mathematics IV
Subject      : Mathematics
copyright © 2020   : Scitech Publications (India) Pvt Ltd
Author      : Anuradha P
Publisher      : Scitech Publications (India) Pvt Ltd
Chapters/Pages      : 6/700
Total Price      : Rs.      : 345
 
 
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Chapters
     
Contents Total views (0)  
This book on Mathematics - IV covers the syllabus for the 2nd year 1st Semester course of B.E / B.Tech programmes offered by various major universities and autonomous colleges. It covers the following topics Functions of a Complex Variable, Complex Integration, Evaluation of Integrals, Fourier Series and Transforms and Applications of PDE.
Pages: 10
Price: Rs 0   
 
Chapter 1 * Functions of a Complex Variable Total views (0)  
Introduction, Continuity, Differentiability, Analyticity, properties, Cauchy, Riemann equations in Cartesian and polar coordinates. Harmonic and conjugate harmonic functions-Milne-Thompson method
Pages: 50
Price: Rs 25   
 
Chapter 2 * Complex Integration Total views (0)  
Line integral, Cauchy’s integral theorem, Cauchy’s integral formula, and Generalized Cauchy’s integral formula, Power series: Taylor’s series- Laurent series, Singular points, isolated singular points, pole of order m – essential singularity, Residue, Cauchy Residue theorem (Without proof).
Pages: 78
Price: Rs 39   
 
Chapter 3 * Evaluation of Integrals Total views (0)  
Types of real integrals: a) Improper real integrals integer->infinity->(-infinity) f(x) dx (b) Integer -> (c+2pi)->(c) f(cos-theta sin- heta) d heta Bilinear transformation- fixed point- cross ratio- properties- invariance of circles.
Pages: 50
Price: Rs 25   
 
Chapter 4 * Fourier Series and Transforms Total views (0)  
Introduction, Periodic functions, Fourier series of periodic function, Dirichlet’s conditions, Even and odd functions, Change of interval, Half range sine and cosine series. Fourier integral theorem (without proof), Fourier sine and cosine integrals, sine and cosine, transforms, properties, inverse transforms, Finite Fourier transforms.
Pages: 346
Price: Rs 173   
 
Chapter 5 * Applications of PDE Total views (0)  
Classification of second order partial differential equations, method of separation of variables, Solution of one dimensional wave and heat equations.
Pages: 166
Price: Rs 83