## SUBJECTS

### ICT-MATHEMATICS

MATHEMATICS

Mathematics deals with exact measurement and is there a thing in the world that is not measurable? to be is to be measurable. If a thing cannot be measured, it cannot exist!

The world exists in relationship among variables and mathematics expresses that. Is it not then life?

It is....................................................

We introduce mathematics in a different way. Instead of treating mathematics abstractly, we introduce all the concepts of mathematics with a link to life. We make it totally clear that mathematics is not a game but a way of grasping and handling the world in exact quantitative terms.

We cover all the important concepts of mathematics that are needed to deal with the world powerfully!

Happy learning and discovery!

## REAL ANALYSIS AND MEASURE THEORY

LEBESGUE MEASURABLE FUNCTIONS - LEBESGUE MEASURABLE FUNCTIONS AND BASIC PROPERTIES - MODULE-1

LEBESGUE MEASURABLE FUNCTIONS - ALMOST EVERYWHERE CONCEPT AND ITS IMPLICATIONS - MODULE-2

FUNCTIONS OF BOUNDED VARIATIONS ANDASSOCIATED CONCEPTS - FUNCTIONS OF BOUNDED VARIATIONS - MODULE-1

FUNCTIONS OF BOUNDED VARIATIONS ANDASSOCIATED CONCEPTS - VITALI COVERING THEOREM - MODULE-2

FUNCTIONS OF BOUNDED VARIATIONS ANDASSOCIATED CONCEPTS - ABSOLUTELY CONTINUOUS FUNCTIONS- MODULE-3

FUNCTIONS OF BOUNDED VARIATIONS ANDASSOCIATED CONCEPTS - FURTHER RESULTS ON ABSOLUTELY CONTINUOUS FUNCTIONS AND DINI'S DERIVATES - MODULE-4

FUNCTIONS OF BOUNDED VARIATIONS ANDASSOCIATED CONCEPTS - DIFFERENTIABILITY OF NON-DECREASING FUNCTIONS - MODULE-5

MORE ON LEBESGUE INTEGRATION: EXISTENCE OF INDENITE INTEGRAL ANDFUNDAMENTAL THEOREM OF INTEGRAL CALCULUS - SOME USEFUL RESULTS OF LEBESGUE INTEGRATION - MODULE-1

MORE ON LEBESGUE INTEGRATION: EXISTENCE OF INDENITE INTEGRAL ANDFUNDAMENTAL THEOREM OF INTEGRAL CALCULUS - FUNDAMENTAL THEOREM OF INTEGRAL CALCULUS FOR LEBESGUE INTEGRATION - MODULE-3

ABSTRACT MEASURE THEORY - ABSTRACT MEASURE AND ABSTRACT OUTER MEASURE- MODULE-3

ABSTRACT MEASURE THEORY - EXTENSION OF MEASURE AND THE NOTION MEASURABLE COVERS - MODULE-4

RIEMANN-STIELTJES INTEGRAL - RIEMANN-STIELTJES INTEGRAL AND ITS BASIC PROPERTIES - MODULE-1

RIEMANN-STIELTJES INTEGRAL - NOTION OF DARBAUX STIELTJES INTEGRAL AND ITS IMPLICATIONS - MODULE-2

## CALCULUS OF SERVERAL VERIABLES – FUNCTIONS ON Rn - MEANING OF Rn CALCULUS OF SERVERAL VERIABLES – FUNCTIONS ON Rn - SCALAR AND VECTOR FIELDS CALCULUS OF SERVERAL VERIABLES – FUNCTIONS ON Rn - LINEAR TRANSFORMATIONS CALCULUS OF SERVERAL VERIABLES – CALCULUS OF SCALAR FIELDS - LIMITS AND CONTINUITY OF SCALAR FIELDS CALCULUS OF SERVERAL VERIABLES – CALCULUS OF SCALAR FIELDS - PARTIAL DERIVATIVES CALCULUS OF SERVERAL VERIABLES – CALCULUS OF SCALAR FIELDS - VECTOR DERIVATIVES CALCULUS OF SERVERAL VERIABLES – CALCULUS OF SCALAR FIELDS - PROPERTIES OF VECTOR DERIVATIVES CALCULUS OF SERVERAL VERIABLES – CALCULUS OF SCALAR FIELDS - TOTAL DERIVATIVE CALCULUS OF SERVERAL VERIABLES – CALCULUS OF SCALAR FIELDS - DISCUSSIONS ON DIFFERENTIABILITY CALCULUS OF SERVERAL VERIABLES – CALCULUS OF SCALAR FIELDS - GRADIENT OF A SCALAR FIELD CALCULUS OF SERVERAL VERIABLES – CALCULUS OF SCALAR FIELDS - SUFFICIENT CONDITIONS FOR DIFFERENTIABILITY CALCULUS OF SERVERAL VERIABLES – CALCULUS OF SCALAR FIELDS - CHAIN RULE FOR DERIVATIVES OF SCALAR FIELDS CALCULUS OF SERVERAL VERIABLES – CALCULUS OF SCALAR FIELDS - HOMOGENEOUS FUNCTIONS AND EULER'S THEOREM CALCULUS OF SERVERAL VERIABLES – CALCULUS OF SCALAR FIELDS - ON EQUALITY OF MIXED PARTIAL DERIVATIVES CALCULUS OF SERVERAL VERIABLES – CALCULUS OF VECTOR FIELDS – TAYLOR SERIES FOR SCALAR FIELDS CALCULUS OF SERVERAL VERIABLES – CALCULUS OF VECTOR FIELDS – LIMITS AND CONTINUITY OF VECTOR FIELDS CALCULUS OF SERVERAL VERIABLES – CALCULUS OF VECTOR FIELDS – VECTOR DERIVATIVE OF A VECTOR FIELD CALCULUS OF SERVERAL VERIABLES – CALCULUS OF VECTOR FIELDS – TOTAL DERIVATIVE OF A VECTOR FIELD CALCULUS OF SERVERAL VERIABLES – CALCULUS OF VECTOR FIELDS – DISCUSSIONS ON DIFFERENTIABILITY OF A VECTOR FIELD CALCULUS OF SERVERAL VERIABLES – CALCULUS OF VECTOR FIELDS – JACOBIAN MATRIX OF A DIFFERENTIABLE VECTOR FIELD CALCULUS OF SERVERAL VERIABLES – CALCULUS OF VECTOR FIELDS – MEAN VALUE THEOREM FOR A DIFFERENTIABLE VECTOR FIELD CALCULUS OF SERVERAL VERIABLES – LINE INTEGRALS – INTRODUCTION TO INTEGRATION CALCULUS OF SERVERAL VERIABLES – LINE INTEGRALS – ON CURVES AND THEIR LENGTHS CALCULUS OF SERVERAL VERIABLES – LINE INTEGRALS – ON LINE INTEGRALS CALCULUS OF SERVERAL VERIABLES – LINE INTEGRALS – FUNDAMENTAL THEOREMS OF CALCULUS ON LINE INTEGRALS CALCULUS OF SERVERAL VERIABLES – LINE INTEGRALS NECESSARY AND SUFFICIENT CONDITIONS FOR A VECTOR FIELD TO BE GRADIENT CALCULUS OF SERVERAL VERIABLES – MULTIPLE INTEGRALS – DOUBLE INTEGRALS-I CALCULUS OF SERVERAL VERIABLES – MULTIPLE INTEGRALS – DOUBLE INTEGRALS-II CALCULUS OF SERVERAL VERIABLES – MULTIPLE INTEGRALS – GREEN'S THEOREM CALCULUS OF SERVERAL VERIABLES – MULTIPLE INTEGRALS – CHANGE OF VARIABLES IN DOUBLE INTEGRAL CALCULUS OF SERVERAL VERIABLES – MULTIPLE INTEGRALS CALCULUS OF SERVERAL VERIABLES – INTRODUCTION TO SURFACES CALCULUS OF SERVERAL VERIABLES – SURFACE INTEGRALS CALCULUS OF SERVERAL VERIABLES – SURFACE INTEGRALS - STOKES THEOREM AND DIVERGENCE THEOREM CALCULUS OF SERVERAL VERIABLES – INVERSE FUNCTION THEOREM AND IMPLICIT FUNCTION THEOREM COMPLEX ANALYSIS COMPLEX ANALYSIS – COMPLEX NUMBERS – BASIC IDEAS COMPLEX ANALYSIS – COMPLEX NUMBERS – STEREOGRAPHIC PROJECTION COMPLEX ANALYSIS – COMPLEX NUMBERS – STRAIGHT LINE AND CIRCLE IN THE COMPLEX PLANE COMPLEX ANALYSIS – CONCEPT OF FUNCTIONS, LIMIT AND CONTINUITY – BASIC DEFINITIONS COMPLEX ANALYSIS – CONCEPT OF FUNCTIONS, LIMIT AND CONTINUITY – LIMIT OF A FUNCTION COMPLEX ANALYSIS – CONCEPT OF FUNCTIONS, LIMIT AND CONTINUITY – CONTINUITY OF A FUNCTION COMPLEX ANALYSIS – ANALYTIC FUNCTIONS – COMPLEX DIFFERENTIATION COMPLEX ANALYSIS – ANALYTIC FUNCTIONS – ANALYTIC FUNCTIONS-I COMPLEX ANALYSIS – ANALYTIC FUNCTIONS – ANALYTIC FUNCTIONS-II COMPLEX ANALYSIS – ANALYTIC FUNCTIONS – HARMONIC FUNCTIONS COMPLEX ANALYSIS – ELEMENTARY FUNCTIONS – EXPONENTIAL FUNCTION COMPLEX ANALYSIS – ELEMENTARY FUNCTIONS – TRIGONOMETRIC FUNCTIONS AND HYPERBOLIC FUNCTIONS COMPLEX ANALYSIS – ELEMENTARY FUNCTIONS – MULTIVALUED FUNCTIONS-I COMPLEX ANALYSIS – ELEMENTARY FUNCTIONS – MULTIVALUED FUNCTIONS-II COMPLEX ANALYSIS – COMPLEX INTEGRATIONS – LINE INTEGRALS COMPLEX ANALYSIS – COMPLEX INTEGRATIONS – CAUCHY'S FUNDAMENTAL THEOREM COMPLEX ANALYSIS – COMPLEX INTEGRATIONS – CAUCHY'S INTEGRAL FORMULA COMPLEX ANALYSIS – COMPLEX INTEGRATIONS – WINDING NUMBER COMPLEX ANALYSIS – COMPLEX INTEGRATIONS – CAUCHY'S INEQUALITY AND APPLICATION COMPLEX ANALYSIS – SERIES EXPANSION – SEQUENCE AND SERIES COMPLEX ANALYSIS – SERIES EXPANSION – SEQUENCE OF FUNCTIONS COMPLEX ANALYSIS – SERIES EXPANSION – POWER SERIES COMPLEX ANALYSIS – SERIES EXPANSION – LAURENT'S THEOREM COMPLEX ANALYSIS – CLASSIFICATION OF SINGULARITIES – RIEMANN'S THEOREM COMPLEX ANALYSIS – CLASSIFICATION OF SINGULARITIES - ZEROS OF AN ANALYTIC FUNCTION COMPLEX ANALYSIS – CLASSIFICATION OF SINGULARITIES - UNIQUENESS THEOREM AND ITS APPLICATIONS COMPLEX ANALYSIS – CALCULUS RESIDUES - RESIDUE THEOREM COMPLEX ANALYSIS – CALCULUS RESIDUES - ARGUMENT PRINCIPLE COMPLEX ANALYSIS – CALCULUS RESIDUES - SCHWARZ LEMMA AND ITS APPLICATIONS COMPLEX ANALYSIS – CONFORMAL MAPPING AND BILINEAR TRANSFORMATION - CONFORMAL MAPPING COMPLEX ANALYSIS – CONFORMAL MAPPING AND BILINEAR TRANSFORMATION - BILINEAR TRANSFORMATION BASIC PROPERTIES COMPLEX ANALYSIS – CONFORMAL MAPPING AND BILINEAR TRANSFORMATION - BILINEAR TRANSFORMATION NORMAL FORM COMPLEX ANALYSIS – CONFORMAL MAPPING AND BILINEAR TRANSFORMATION - BILINEAR TRANSFORMATION AND INVERSE POINTS COMPLEX ANALYSIS – CONTOUR INTEGRATION-I COMPLEX ANALYSIS – CONTOUR INTEGRATION-II NUMERICAL ANALYSIS NUMERICAL ANALYSIS - NUMERICAL ERRORS - ERROR IN NUMERICAL COMPUTATIONS NUMERICAL ANALYSIS - NUMERICAL ERRORS - PROPAGATION OF ERRORS AND COMPUTER ARITHMETIC NUMERICAL ANALYSIS - NUMERICAL ERRORS - OPERATORS IN NUMERICAL ANALYSIS NUMERICAL ANALYSIS - INTERPOLATION - LAGRANGE'S INTERPOLATION NUMERICAL ANALYSIS - INTERPOLATION - NEWTON'S INTERPOLATION METHODS NUMERICAL ANALYSIS - INTERPOLATION - CENTRAL DIFFERENCE INTERPOLATION FORMULAE NUMERICAL ANALYSIS - INTERPOLATION - AITKEN'S AND HERMITE'S INTERPOLATION METHODS NUMERICAL ANALYSIS - INTERPOLATION - SPLINE INTERPOLATION NUMERICAL ANALYSIS - INTERPOLATION - INVERSE INTERPOLATION NUMERICAL ANALYSIS - INTERPOLATION - BIVARIATE INTERPOLATION NUMERICAL ANALYSIS - APPROXIMATION OF FUNCTIONS - LEAST SQUARE METHOD NUMERICAL ANALYSIS - APPROXIMATION OF FUNCTION BY LEAST SQUARES METHOD NUMERICAL ANALYSIS - APPROXIMATION OF FUNCTION BY CHEBYSHEV POLYNOMIALS NUMERICAL ANALYSIS – SOLUTION OF NON-LINEAR EQUATION – NEWTON’S METHOD TO SOLVE TRANSCENDENTAL EQUATION NUMERICAL ANALYSIS – SOLUTION OF NON-LINEAR EQUATION – ROOTS OF A POLYNOMIAL EQUATION NUMERICAL ANALYSIS – SOLUTION OF NON-LINEAR EQUATION – SOLUTION OF SYSTEM OF NON- LINEAR EQUATIONS NUMERICAL ANALYSIS – SOLUTION OF SYSTEM OF LINEAR EQUATION – MATRIX INVERSE METHOD NUMERICAL ANALYSIS – SOLUTION OF SYSTEM OF LINEAR EQUATION – ITERATION METHODS TO SOLVE SYSTEM OF LINEAR EQUATIONS NUMERICAL ANALYSIS – SOLUTION OF SYSTEM OF LINEAR EQUATION – METHODS OF MATRIX FACTORIZATION NUMERICAL ANALYSIS – SOLUTION OF SYSTEM OF LINEAR EQUATION – GAUSS ELIMINATION METHOD AND TRI-DIAGONAL EQUATIONS NUMERICAL ANALYSIS – SOLUTION OF SYSTEM OF LINEAR EQUATION – GENERALIZED INVERSE OF MATRIX NUMERICAL ANALYSIS – SOLUTION OF SYSTEM OF LINEAR EQUATION – SOLUTION OF INCONSISTENT AND ILL CONDITIONED SYSTEMS NUMERICAL ANALYSIS – EIGENVALUES AND EIGENVECTORS OF MATRIX – CONSTRUCTION OF CHARACTERISTIC EQUATION OF A MATRIX NUMERICAL ANALYSIS – EIGENVALUES AND EIGENVECTORS OF MATRIX – EIGENVALUE AND EIGENVECTOR OF ARBITRARY MATRICES NUMERICAL ANALYSIS – EIGENVALUES AND EIGENVECTORS OF MATRIX – EIGENVALUES AND EIGENVECTORS OF SYMMETRIC MATRICES NUMERICAL ANALYSIS – NUMERICAL DIFFERENTIATION AND INTEGRATION – NUMERICAL DIFFERENTIATION NUMERICAL ANALYSIS – NUMERICAL DIFFERENTIATION AND INTEGRATION – NEWTON-COTES QUADRATURE NUMERICAL ANALYSIS – NUMERICAL DIFFERENTIATION AND INTEGRATION – GAUSSIAN QUADRATURE NUMERICAL ANALYSIS – NUMERICAL DIFFERENTIATION AND INTEGRATION – MONTE-CARLO METHOD AND DOUBLE INTEGRATION NUMERICAL ANALYSIS – NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS – RUNGE-KUTTA METHODS NUMERICAL ANALYSIS – NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS – PREDICTOR-CORRECTOR METHODS NUMERICAL ANALYSIS – NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS – FINITE DIFFERENCE METHOD AND ITS STABILITY NUMERICAL ANALYSIS – NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS – SHOOTING METHOD AND STABILITY ANALYSIS NUMERICAL ANALYSIS – NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS – PARTIAL DIFFERENTIAL EQUATION: PARABOLIC NUMERICAL ANALYSIS – NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS – PARTIAL DIFFERENTIAL EQUATIONS: HYPERBOLIC NUMERICAL ANALYSIS – NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS – PARTIAL DIFFERENTIAL EQUATIONS: ELLIPTIC

### FUNCTIONAL ANALYSIS

FUNCTIONAL ANALYSIS - METRIC SPACES - FUNDAMENTAL INEQUALITIES

FUNCTIONAL ANALYSIS - METRIC SPACES - SOME PROPERTIES ON METRIC SPACES

FUNCTIONAL ANALYSIS - METRIC SPACES - METRIC SUBSPACES

FUNCTIONAL ANALYSIS - FUNDAMENTAL THEOREMS FOR METRIC SPACES - COMPLETION OF METRIC SPACES

FUNCTIONAL ANALYSIS - FUNDAMENTAL THEOREMS FOR METRIC SPACES - COMPACTNESS OF C[A,B]

FUNCTIONAL ANALYSIS - FUNDAMENTAL THEOREMS FOR METRIC SPACES - FIXED POINT OF CONTRACTION MAPPING

FUNCTIONAL ANALYSIS - NORMED LINEAR SPACES AND BANACH SPACES - LINEAR SPACES

FUNCTIONAL ANALYSIS - NORMED LINEAR SPACES AND BANACH SPACES - BASIC PROPERTIES OF NORMED LINEAR SPACES

FUNCTIONAL ANALYSIS - NORMED LINEAR SPACES AND BANACH SPACES - EXAMPLES OF BANACH SPACES

FUNCTIONAL ANALYSIS - CHARACTERIZATION OF BANACH SPACES - CONVEX SET

FUNCTIONAL ANALYSIS - CHARACTERIZATION OF BANACH SPACES - EQUIVALENT NORMS AND SERIES IN BANACH SPACES

FUNCTIONAL ANALYSIS - CHARACTERIZATION OF BANACH SPACES - QUOTIENT SPACES

FUNCTIONAL ANALYSIS - BOUNDED LINEAR OPERATORS - BOUNDED LINEAR OPERATORS

FUNCTIONAL ANALYSIS - BOUNDED LINEAR OPERATORS - NORM OF BOUNDED LINEAR OPERATORS

FUNCTIONAL ANALYSIS - BOUNDED LINEAR OPERATORS - CONVERGENCE OF BOUNDED LINEAR OPERATORS

FUNCTIONAL ANALYSIS - FUNDAMENTAL THEOREMS FOR BOUNDED LINEAR OPERATORS - OPEN MAPPING THEOREM

FUNCTIONAL ANALYSIS - FUNDAMENTAL THEOREMS FOR BOUNDED LINEAR OPERATORS - CLOSED GRAPH THEOREM

FUNCTIONAL ANALYSIS - FUNDAMENTAL THEOREMS FOR BOUNDED LINEAR OPERATORS - EXTENSION OF BOUNDED LINEAR OPERATORS

FUNCTIONAL ANALYSIS - FUNDAMENTAL THEOREMS FOR BOUNDED LINEAR FUNCTIONALS - LINEAR FUNCTIONALS

FUNCTIONAL ANALYSIS - FUNDAMENTAL THEOREMS FOR BOUNDED LINEAR FUNCTIONALS - HAHN BANACH THEOREM

FUNCTIONAL ANALYSIS - FUNDAMENTAL THEOREMS FOR BOUNDED LINEAR FUNCTIONALS - APPLICATIONS OF HAHN BANACH THEOREM

FUNCTIONAL ANALYSIS - CONJUGATE SPACES - FIRST CONJUGATE SPACES

FUNCTIONAL ANALYSIS - CONJUGATE SPACES - SECOND CONJUGATE SPACES

FUNCTIONAL ANALYSIS - CONJUGATE SPACES - STRONG CONVERGENCE AND WEAK CONVERGENCE OF A SEQUENCE OF OPERATORS

FUNCTIONAL ANALYSIS - CONJUGATE SPACES - CONJUGATES OPERATORS ON NORMED LINEAR SPACES….

FUNCTIONAL ANALYSIS - INNER PRODUCT SPACES AND HILBERT SPACES - INNER PRODUCT SPACES

FUNCTIONAL ANALYSIS - INNER PRODUCT SPACES AND HILBERT SPACES - ORTHOGONAL AND ORTHONORMAL VECTORS

FUNCTIONAL ANALYSIS - INNER PRODUCT SPACES AND HILBERT SPACES - SOME FUNDAMENTAL RESULTS ON INNER PRODUCT SPACES

FUNCTIONAL ANALYSIS - INNER PRODUCT SPACES AND HILBERT SPACES - SOME RESULTS ON HILBERT SPACES

FUNCTIONAL ANALYSIS - INNER PRODUCT SPACES AND HILBERT SPACES - SERIES IN HILBERT SPACES AND ISOMETRIC ISOMORPHISM BETWEEN HILBERT SPACES

FUNCTIONAL ANALYSIS - CLASSIFICATION OF OPERATORS OVER HILBERT SPACES - ADJOINT OPERATORS ALGEBRA OF ADJOINT OPERATORS

FUNCTIONAL ANALYSIS - CLASSIFICATION OF OPERATORS OVER HILBERT SPACES - SELF ADJOINT OPERATORS OVER HILBERT SPACES AND ITS EIGEN VALUES AND EIGEN VECTORS

FUNCTIONAL ANALYSIS - CLASSIFICATION OF OPERATORS OVER HILBERT SPACES - NORMAL OPERATORS AND UNITARY OPERATORS

FUNCTIONAL ANALYSIS - CLASSIFICATION OF OPERATORS OVER HILBERT SPACES PROJECTION OPERATORS

INTEGRAL EQUATIONS AND INTEGRAL TRANSFORM

INTEGRAL EQUATIONS: AN INTRODUCTION - CLASSIFICATIONS OF INTEGRAL EQUATIONS

INTEGRAL EQUATIONS: AN INTRODUCTION - OCCURRENCE OF VOLTERRA INTEGRAL EQUATIONS

INTEGRAL EQUATIONS: AN INTRODUCTION - OCCURRENCE OF FREDHOLM INTEGRAL EQUATIONS

FREDHOLM ALTERNATIVE EQUATIONS OF SECOND KIND WITH DEGENERATE KERNEL - THE THEORY OF FREDHOLM ALTERNATIVE

HOMOGENEOUS FREDHOLM INTEGRAL EQUATIONS OF SECOND KIND WITH DEGENERATE KERNEL

SOLUTION OF FREDHOLM INTEGRAL EQUATION WITH DEGENERATE KERNEL: EXAMPLES

FREDHOLM INTEGRAL EQUATIONS OF SECOND KIND WITH CONTINUOUS KERNEL: SOLUTION BY THE METHOD

FREDHOLM INTEGRAL EQUATIONS OF SECOND KIND WITH CONTINUOUS KERNEL: SOLUTION BY THE METHOD

METHOD OF SUCCESSIVE APPROXIMATIONS APPLIED TO VOLTERRA INTEGRAL EQUATION OF SECOND KIND

FREDHOLM INTEGRAL EQUATIONS OF SECOND KIND WITH CONTINUOUS KERNEL: ITERATED KERNEL

INTEGRAL EQUATIONS OF SECOND KIND WITH MORE GENERAL FORM OF KERNEL

FREDHOLM INTEGRAL EQUATION OF SECOND KIND WITH SQUARE INTEGRABLE KERNEL AND FORCING TERM

PROPERTIES OF INTEGRAL EQUATIONS WITH SYMMETRIC KERNEL

HILBERT SCHMIDT THEOREM

SOLUTION OF ABEL INTEGRAL EQUATION: METHOD BASED ON ELEMENTARY INTEGRATION

SOLUTION OF ABEL INTEGRAL EQUATION: METHOD BASED ON LAPLACE TRANSFORM

INTRODUCTION TO FOURIER TRANSFORM

FOURIER TRANSFORMS OF SOME SIMPLE FUNCTIONS

PROPERTIES OF FOURIER TRANSFORM

CONVOLUTION THEOREM AND PARSEVAL RELATION

APPLICATION OF FOURIER TRANSFORMS IN SOLVING LINEAR ORDINARY DIFFERENTIAL EQUATIONS

APPLICATION OF FOURIER SINE AND COSINE TRANSFORMS IN SOLVING LINEAR ORDINARY DIFFERENTIAL

APPLICATION OF FOURIER TRANSFORM IN SOLVING PARTIAL DIFFERENTIAL EQUATIONS

APPLICATION OF FOURIER SINE AND COSINE TRANSFORMTO THE SOLUTION OF PARTIAL DIFFERENTIAL

AN INTRODUCTION TO LAPLACE TRANSFORM

OPERATIONAL PROPERTIES OF LAPLACE TRANSFORM

CONVOLUTION OF LAPLACE TRANSFORM

METHOD OF EVALUATION OF INVERSE LAPLACE TRANSFORM

APPLICATION OF LAPLACE TRANSFORM TO DIFFERENTIAL EQUATIONS

AN INTRODUCTION TO MELLIN TRANSFORM

OPERATIONAL PROPERTIES OF MELLIN TRANSFORM

EVALUATION OF MELLIN TRANSFORM OF SOME FUNCTIONS

HANKEL TRANSFORM AND ITS PROPERTIES

HANKEL TRANSFORM OF SOME KNOWNFUNCTIONS AND APPLICATIONS

INTRODUCTION TO Z TRANSFORM

INVERSION OF Z TRANSFORM