Try Again. Report Close Quick Download Go to remote file. Documents can only be sent to your Kindle devices from e-mail accounts that you added to your Approved Personal Document E-mail List. What's the problem with this file? Promotional spam Copyrighted material Offensive language or threatening Something else. Phillips - Oliver And Boyd , This book is concerned essentially with the application of the methods of the differential and integral calculus to complex numbers.

Limitations of space made it necessary for me to confine myself to the more essential aspects of the theory Fisher, I.

Schwatt - Philadelphia G. Fisher , Contents: Geometric representation of imaginary quantities; Functions of a complex variable in general; Multiform functions; Integrals with complex variables; General properties of functions; Infinite and infinitesimal values of functions; etc. Watson - Cambridge University Press , This brief monograph offers a single-volume compilation of propositions employed in proofs of Cauchy's theorem. Developing an arithmetical basis that avoids geometrical intuitions, Watson also provides a brief account of the various applications We discuss the extension of holomorphic functions, automorphisms, domains of holomorphy, pseudoconvexity, etc.

Prerequisites are real analysis and complex analysis of one variable. McMullen - Harvard University , This course covers some basic material on both the geometric and analytic aspects of complex analysis in one variable.

Prerequisites: Background in real analysis and basic differential topology, and a first course in complex analysis. Khmelnik, Inna S. Doubson - MiC , Hardware algorithms for computing of all elementary complex variable functions are proposed. Contents: A method 'digit-by-digit'; Decomposition; Compositions; Two-step-by-step operations; Taking the logarithm; Potentiation; and more. Ramachandra - Tata Institute of Fundamental Research , This short book is a text on the mean-value and omega theorems for the Riemann Zeta-function.

The author includes discussion of some fundamental theorems on Titchmarsh series and applications, and Titchmarsh's Phenomenon. Therefore, one may think that they are easy to handle. They are not in general! Congruence modulo n; highest power of a prime number p contained in n! Algebra Volume I by T. Manicavachagam Pillay,T. Natarajan, K. Ganapathy, Viswanathan Publication Algebra Volume II by T. Manicavachagom Pillay ,T. Natarajan ,K. Cos x, tan x in terms of x-Sum of roots of trigonometric equations — Formation of equation with trigonometric roots.

Hyperbolic functions-Relation between circular and hyperbolic functions - Formulas in hyperbolic functions — Inverse hyperbolic functions. Content and treatment as in Trigonometry by P.

Duraipandian and Kayalal Pachaiyappa, Muhil Publishers. Solutions of algebraic and transcendental equations, Bisection method, Iteration method, Regulafalsi method, Newton-Raphson method. E operators and relation between them, Differences of a polynomial, Factorial polynomials, differences of zero, summation series. Numerical methods in Science and Engineering by M.

Venkataraman, National publishing house, Chennai. Numerical Analysis by B. Gupta, Konark publishing. Calculus of finite differences and Numerical Analysis by Saxena, S.

Envelopes — method of finding envelopes — Curvature- circle, radius and centre of curvature- Cartesian formula for radius of curvature — coordinates of the centre of curvature — evolute-and involute - radius of curvature and centre of curvature in polar coordinates — p-r equation.

P-r equations- angle between the radius vector and the tangent — slope of the tangent in the polar coordinates — the angle of intersection of two curves in polar coordinates- polar sub tangent and polar sub normal — the length of arc in polar coordinates.

Asymptotes parallel to the axes — special cases — another method for finding asymptotes - asymptotes by inspection — intersection of a curve with an asymptote. Content and treatment as in Calculus Vol- 1 by S. Narayanan and T. Manicavachagom pillay - S. Viswanathan publishers — Chord of contact — polar and pole,- conjugate points and conjugate lines — chord with x1,y1 as its midpoint — diameters — conjugate diameters of an ellipse.

Co-normal points, co-normal points as the intersection of the conic and a certain R. Equations of the asymptotes of a hyperbola.

Representation of line — angle between a line and a plane- co-planar lines- shortest distance 2 skew lines- Length of the perpendicular- intersection of three planes. Equation of a sphere ; general equation ; section of a sphere by a plane - equation of the circle ; tangent plane ; radical plane ; coaxial system of spheres; orthogonal spheres.

Analytical Geometry of 2D by P. Durai Pandian- Muhil publishers for Unit — 1 and 2 2. Mittal for Unit — 3 to 5. Analytical Geometry of Two Dimension by T.

Manikavachakam Pillai and S. Analytical Geometry of Three Dimension by T. Mathematics for Economists — History of Thought — Graphs and Co-ordinates — intercept and slope of a straight line equations in Economics. Elementary functions — Linear functions — non - linear functions — Economic Applications — Market Equilibrium — National Income determination. Vector and matrix notations — Linear programming — Sequences and series — Simple and component interest — Investment Appraisal — Applications in Finance and Growth.

Differentiation — Slope of the function — applications — maximization, minimization and Optimization. References 1. Chiang, A. Weber, E. Reduction formulae —Types , cos , sin , , , , , ,. Multiple Integrals- definition of the double integrals- evaluation of the double integrals- double integrals in polar coordinates — triple integrals — applications of multiple integrals — volumes of solids of revolution — areas of curved surfaces — change of variables — Jocobians.

Introduction, Gradient, divergence, curl, directional derivative, unit normal to a surface. Solenoidal and irrotational. Laplacian Differential Operator. Line, surface and volume integrals; Theorems of Gauss, Stokes and Green.

Without proof — Problems. Calculus Vol- II by S. Manicavachagam pillay - S. Viswanathan publishers — for Unit 1 , Unit 2 , Unit 3 2. Content and treatment as in Vector Analysis by P. Duraipandian and Laxmi Duraipandian. Emerald Publishers. For Unit 4 , Unit 5. Vector Algebra and Analysis by Narayanan and T. Manickvachagam Pillay S. Viswanathan Publishers. Second order linear differential equations introduction. General solution of homogenous equations.

The use of known solution to find another. Homogeneous equation with constant coefficients- Method of undetermined coefficients; Method of variation of parameters;. System of first order equations-Linear systems. Homogeneous linear systems with constant coefficients. Omit non-homogeneous system of equations. Formation of P. Unit 1, 2 and 3 2. Unit 4 and 5 Reference Books Ganesh, S.

Hand Book of Public Relations in India. Introduction — Properties of Laplace transform- Laplace transform of elementary functions- Problems using properties-Laplace transform of special function, unit step function and Dirac delta function - Laplace transform of derivatives and Integrals — Evaluation of integral using Laplace Transform - Initial Value Theorem — Final Value Theorem and problems —Laplace Transform of periodic function.

Applications of Laplace transform to solution of first and second order linear differential equations constant coefficients and simultaneous linear ordinary differential equations — Application of Laplace transform to partial differential equations.

Sreenath, S. Ranganatham, Dr. Prasad and Dr. Ramesh Babu. Chand and Company Ltd. Engineering Mathematics volume 3 : M. Venkataraman National Publishing Co. Engineering Mathematics volume 3 : P. Kandasamy and others S. Chand and Co. Equilibrium of a particle:Limiting equilibrium of a particle on an inclined plane-Forces on a right body: Moment of a force-General motion of a right body-Forces along the sides of a triangle.

Kinematics: Basic units-Velocity-Acceleration-Coplanar motion-Work, energy and power: Work-Conservative field of force-Rectilinear motion under varying force: Simple harmonic motion-Simple harmonic motion along a horizontal line-Simple harmonic motion along a vertical line.

Projectiles: Forces on a projectile-Projectile projected on an inclined plane Impact- Impulsive force-Impact of a two spheres. Circular motion: Conical pendulum-Motion of a cyclist path-Circular motion on a vertical plane. Central orbits: General orbits-Central orbit-Moment of inertia- Perpendicular and parallel axis theorems.

Text Book: Mechanics by P. Dynamics- K. ViswanathaNaik and M. Kasi, Emerald Publishers. Dynamics- A. Dharmapadam, S. Viswanatha Publishers.

Introduction — Definition psychology as Science. Approaches to Psychology — Behavioral , Psychodynamic Approach, cognitive Approach, Behavioral Neuroscience, Evolutionary psychology, Sociocultural approach, humanistic movement, positive psychology.

Sensation and Attention Sensation — Definition, Sensory receptors and brain, Thresholds — absolute threshold, difference threshold, Subliminal perception, sensory adaptation, Sensory Gating, Selective Attention, Determinants of attention. Perception — definition, Perceptual constancy, Perceptual organization, Depth perception, Motion perception , Perceptual learning, Motives and perception, Perceptual expectancy, Extra Sensory perception.

Course component No. Polynomial equations; Imaginary and irrational roots; Relation between roots and coefficients: Symmetric functions of roots in terms of coefficients; Transformations of equations; Reciprocal equations. Prime number; Complex analysis by arumugam pdf free download number; decomposition of a composite number as a product of primes uniquely; divisors of a positive integer n; Euler function. Congruence modulo n; highest power of a prime number p contained in n! Algebra Volume I by T. Manicavachagam Aqwal hazrat ali in urdu pdf free download. Natarajan, K. Ganapathy, Viswanathan Publication complex analysis by arumugam pdf free download Algebra Volume II by T. Manicavachagom Pillay ,T. Natarajan ,K. Cos x, tan x in terms of x-Sum of roots- aradhana chiranjeevi telugu mp3 songs free download, assassins creed unity game free download for android, abbyy finereader pdf to word converter free download, facebook messenger apk new version free download, best of ar rahman tamil songs free download, bernice offei hold on fast free mp3 download, hour of victory pc game free download, justin bieber hold tight free mp3 download, english to hindi translation pdf free download BSC_spacesdoneright.com | Complex Number | Complex AnalysisBSC_Maths.pdfe-books in Complex Analysis category