March 30, 2017

APPLICATION S OF CLASSICAL MECHANICS IN SPECIAL THEORY - FORCE AND ENERGY IN RELATIVISTIC MECHANICS


APPLICATION S OF CLASSICAL MECHANICS IN SPECIAL THEORY - FORCE AND ENERGY IN RELATIVISTIC MECHANICS

APPLICATION S OF CLASSICAL MECHANICS IN SPECIAL THEORY - VELOCITY AND ACCELERATION IN RELATIVISTIC MECHANICS


APPLICATION S OF CLASSICAL MECHANICS IN SPECIAL THEORY - VELOCITY AND ACCELERATION IN RELATIVISTIC MECHANICS

APPLICATION S OF CLASSICAL MECHANICS IN SPECIAL THEORY - APPLICATIONS OF LORENTZ TRANSFORMATION


APPLICATION S OF CLASSICAL MECHANICS IN SPECIAL THEORY - APPLICATIONS OF LORENTZ TRANSFORMATION

APPLICATION S OF CLASSICAL MECHANICS IN SPECIAL THEORY - APPLICATIONS OF LORENTZ TRANSFORMATION


APPLICATION S OF CLASSICAL MECHANICS IN SPECIAL THEORY - APPLICATIONS OF LORENTZ TRANSFORMATION

MOTION OF A RIGID BODY - MOTION OF A TOP


MOTION OF A RIGID BODY - MOTION OF A TOP

MOTION OF A RIGID BODY - EULER’S EQUATIONS OF MOTION


MOTION OF A RIGID BODY - EULER’S EQUATIONS OF MOTION

MOTION OF A RIGID BODY - ASPECTS OF MOTION OF A RIGID BODY


MOTION OF A RIGID BODY - ASPECTS OF MOTION OF A RIGID BODY

MOTION OF A RIGID BODY - MOTION OF A SYSTEM OF PARTICLES


MOTION OF A RIGID BODY - MOTION OF A SYSTEM OF PARTICLES

CALCULUS OF VARIATIONS - ISOPERIMETRIC PROBLEMS


CALCULUS OF VARIATIONS - ISOPERIMETRIC PROBLEMS

CALCULUS OF VARIATIONS - APPLICATIONS OF EULER-LAGRANGE EQUATION


CALCULUS OF VARIATIONS - APPLICATIONS OF EULER-LAGRANGE EQUATION

CALCULUS OF VARIATIONS - EULER-LAGRANGE EQUATION


CALCULUS OF VARIATIONS - EULER-LAGRANGE EQUATION

BRACKETS- CONSTANTS OF MOTION


BRACKETS- CONSTANTS OF MOTION

BRACKETS- PROPERTIES OF POISSON BRACKETS


BRACKETS- PROPERTIES OF POISSON BRACKETS

BRACKETS- POISSON BRACKETS AND LAGRANGE BRACKETS


BRACKETS- POISSON BRACKETS AND LAGRANGE BRACKETS

CANONICAL TRANSFORMATIONS - CANONICALITY


CANONICAL TRANSFORMATIONS - CANONICALITY

CANONICAL TRANSFORMATIONS - GENERATING FUNCTION


CANONICAL TRANSFORMATIONS - GENERATING FUNCTION

CANONICAL TRANSFORMATIONS - ASPECTS OF CANONICAL TRANSFORMATION


CANONICAL TRANSFORMATIONS - ASPECTS OF CANONICAL TRANSFORMATION

VARIATIONAL PRINCIPLES - PRINCIPLE OF LEAST ACTION


VARIATIONAL PRINCIPLES - PRINCIPLE OF LEAST ACTION

VARIATIONAL PRINCIPLES - EXTENDED HAMILTON’S PRINCIPLE AND ITS USE


VARIATIONAL PRINCIPLES - EXTENDED HAMILTON’S PRINCIPLE AND ITS USE

VARIATIONAL PRINCIPLES - HAMILTON’S PRINCIPLE AND USES


VARIATIONAL PRINCIPLES - HAMILTON’S PRINCIPLE AND USES

VARIATIONAL PRINCIPLES - VARIATION OF A FUNCTIONAL


VARIATIONAL PRINCIPLES - VARIATION OF A FUNCTIONAL

HAMILTONIAN MECHANICS - APPLICATIONS OF HAMILTONIAN MECHANICS


HAMILTONIAN MECHANICS - APPLICATIONS OF HAMILTONIAN MECHANICS

HAMILTONIAN MECHANICS - HAMILTON’S EQUATIONS OF MOTION


HAMILTONIAN MECHANICS - HAMILTON’S EQUATIONS OF MOTION

HAMILTONIAN MECHANICS - HAMILTONIAN OF A DYNAMICAL SYSTEM


HAMILTONIAN MECHANICS - HAMILTONIAN OF A DYNAMICAL SYSTEM

HAMILTONIAN MECHANICS - ROUTH’S PROCESS FOR THE IGNORATION OF COORDINATES


HAMILTONIAN MECHANICS - ROUTH’S PROCESS FOR THE IGNORATION OF COORDINATES

LAGRANGIAN MACHANICS - APPLICATIONS OF LAGRANGE’S EQUATIONS OF MOTION


LAGRANGIAN MACHANICS - APPLICATIONS OF LAGRANGE’S EQUATIONS OF MOTION

LAGRANGIAN MACHANICS - RAYLEIGH’S DISSIPATION FUNCTION


LAGRANGIAN MACHANICS - RAYLEIGH’S DISSIPATION FUNCTION

LAGRANGIAN MACHANICS - LAGRANGE’S EQUATION OF MOTION FOR A NONHOLONOMIC DYNAMICAL SYSTEM


LAGRANGIAN MACHANICS - LAGRANGE’S EQUATION OF MOTION FOR A NONHOLONOMIC DYNAMICAL SYSTEM

LAGRANGIAN MACHANICS - LAGRANGE’S EQUATION OF MOTION OF SECOND KIND


LAGRANGIAN MACHANICS - LAGRANGE’S EQUATION OF MOTION OF SECOND KIND

CONSTRAINED MOTION - GENERALIZED PRINCIPLE OF D’ALEMBERT


CONSTRAINED MOTION - GENERALIZED PRINCIPLE OF D’ALEMBERT

CONSTRAINED MOTION - LAGRANGE’S EQUATION OF MOTION OF FIRST KIND


CONSTRAINED MOTION - LAGRANGE’S EQUATION OF MOTION OF FIRST KIND

CONSTRAINED MOTION - CONSTRAINTS AND ITS CLASSIFICATION


CONSTRAINED MOTION - CONSTRAINTS AND ITS CLASSIFICATION

ROTATING FRAME OF REFERENCE EFFECTS OF EARTH’S ROTATION


ROTATING FRAME OF REFERENCE EFFECTS OF EARTH’S ROTATION

ROTATING FRAME OF REFERENCE - EQUATION OF MOTION OF A FREE PARTICLE RELATIVE TO THE ROTATING EARTH


ROTATING FRAME OF REFERENCE - EQUATION OF MOTION OF A FREE PARTICLE RELATIVE TO THE ROTATING EARTH

ROTATING FRAME OF REFERENCE - ROTATING COORDINATE SYSTEM


ROTATING FRAME OF REFERENCE - ROTATING COORDINATE SYSTEM

March 25, 2017

QUOTIENT TOPOLOGY – ORBIT SPACE


QUOTIENT TOPOLOGY – ORBIT SPACE

QUOTIENT TOPOLOGY – A QUICK REVIEW ON TOPOLOGICAL GROUP


QUOTIENT TOPOLOGY – A QUICK REVIEW ON TOPOLOGICAL GROUP

QUOTIENT TOPOLOGY – QUOTIENT SPACES


QUOTIENT TOPOLOGY – QUOTIENT SPACES

COMPACTNESS –STONE WEIERSTRASS CECH COMPACTIFICATION


COMPACTNESS –STONE WEIERSTRASS CECH COMPACTIFICATION

COMPACTNESS –STONE WEIERSTRASS THEOREM


COMPACTNESS –STONE WEIERSTRASS THEOREM

COMPACTNESS – BAIRE SPACES


COMPACTNESS – BAIRE SPACES

COMPACTNESS – COMPACT OPEN TOPOLOGY - MODULE – 10


COMPACTNESS – COMPACT OPEN TOPOLOGY - MODULE – 10

COMPACTNESS- POINTWISE AND COMPACT CONVERGENCE


COMPACTNESS- POINTWISE AND COMPACT CONVERGENCE

COMPACTNESS – EQUICONTINUITY AND CLASSICAL VERSION OF ASCOLI’S THEOREM


COMPACTNESS – EQUICONTINUITY AND CLASSICAL VERSION OF ASCOLI’S THEOREM

COMPACTNESS - COMPACTNESS IN METRIC SPACES, SOME ADVANCED PROPERTIES


COMPACTNESS - COMPACTNESS IN METRIC SPACES, SOME ADVANCED PROPERTIES

COMPACTNESS- TYCHONO PRODUCT THEOREM


COMPACTNESS- TYCHONO PRODUCT THEOREM

COMPACTNESS LOCAL COMPACTNESS


COMPACTNESS LOCAL COMPACTNESS

COMPACTNESS – COMPACT IN MATRIC SPACES


COMPACTNESS – COMPACT IN MATRIC SPACES

COMPACTNESS –ALEXANDER SUB-BASE THEOREM


COMPACTNESS –ALEXANDER SUB-BASE THEOREM

COMPACTNESS –FINITE PRODUCT OF COMPACT SPACES


COMPACTNESS –FINITE PRODUCT OF COMPACT SPACES

COMPACTNESS – INTRODUCTION TO COMPACT TOPOLOGICAL SPACES


COMPACTNESS – INTRODUCTION TO COMPACT TOPOLOGICAL SPACES

CONNECTEDNESS – MATRIX LIE GROUPS


CONNECTEDNESS – MATRIX LIE GROUPS

CONNECTEDNESS – COMPONENTS


CONNECTEDNESS – COMPONENTS

CONNECTEDNESS – PATH CONNECTED SPACES


CONNECTEDNESS – PATH CONNECTED SPACES

CONNECTEDNESS – EXAMPLES OF CONNECTED SPACES


CONNECTEDNESS – EXAMPLES OF CONNECTED SPACES

CONNECTEDNESS – INTRODUCTION TO CONNECTED SPACES


CONNECTEDNESS – INTRODUCTION TO CONNECTED SPACES

March 24, 2017

SEPARATION AXIOMS – TIETZE EXTENSION THEOREM


SEPARATION AXIOMS – TIETZE EXTENSION THEOREM

SEPARATION AXIOMS – URYSHON’S LEMMA


SEPARATION AXIOMS – URYSHON’S LEMMA

SEPARATION AXIOMS – PROPERTIES OF NORMALITY SPACES


SEPARATION AXIOMS – PROPERTIES OF NORMALITY SPACES

SEPARATION AXIOMS - SEPARATION AXIOMS, NORMALITY


SEPARATION AXIOMS - SEPARATION AXIOMS, NORMALITY

SEPARATION AXIOMS - SEPARATION AXIOMS - MODULE - 1


SEPARATION AXIOMS - SEPARATION AXIOMS - MODULE - 1

COUNTABILITY AXIOMS – LINDELFOFNESS – MODULE - 3


COUNTABILITY AXIOMS – LINDELFOFNESS – MODULE - 3

COUNTABILITY AXIOMS – FIRST COUNTABILITY AND SECOND COUNTABILITY – MODULE - 2


COUNTABILITY AXIOMS – FIRST COUNTABILITY AND SECOND COUNTABILITY – MODULE - 2

COUNTABILITY AXIOMS – METRIZABLE SPACES


COUNTABILITY AXIOMS – METRIZABLE SPACES

INTRODUCTION TO TOPOLOGICAL SPACES – PRODUCT TOPOLOGY


INTRODUCTION TO TOPOLOGICAL SPACES – PRODUCT TOPOLOGY

INTRODUCTION TO TOPOLOGICAL SPACES – HOMEOMORPHISM


INTRODUCTION TO TOPOLOGICAL SPACES – HOMEOMORPHISM

INTRODUCTION TO TOPOLOGICAL SPACES – INTRODUCTION OF CONTINUITY


INTRODUCTION TO TOPOLOGICAL SPACES – INTRODUCTION OF CONTINUITY

INTRODUCTION TO TOPOLOGICAL SPACES – NEW SPACES FROM OLD ONE


INTRODUCTION TO TOPOLOGICAL SPACES – NEW SPACES FROM OLD ONE

INTRODUCTION TO TOPOLOGICAL SPACES - INTRODUCTION TO TOPOLOGICAL SPACES


INTRODUCTION TO TOPOLOGICAL SPACES - INTRODUCTION TO TOPOLOGICAL SPACES

March 22, 2017

SOME APPLICATIONS OF DIFFERENTIAL GEOMETRY – APPLICATIONS OF DIFFERENTIAL GEOMETRY IN GENERAL THEORY OF RELATIVITY AND COSMOLOGY (3)


SOME APPLICATIONS OF DIFFERENTIAL GEOMETRY – APPLICATIONS OF DIFFERENTIAL GEOMETRY IN GENERAL THEORY OF RELATIVITY AND COSMOLOGY (3)

SOME APPLICATIONS OF DIFFERENTIAL GEOMETRY – APPLICATIONS OF DIFFERENTIAL GEOMETRY IN GENERAL THEORY OF RELATIVITY AND COSMOLOGY(2)


SOME APPLICATIONS OF DIFFERENTIAL GEOMETRY – APPLICATIONS OF DIFFERENTIAL GEOMETRY IN GENERAL THEORY OF RELATIVITY AND COSMOLOGY(2)

SOME APPLICATIONS OF DIFFERENTIAL GEOMETRY – APPLICATIONS OF DIFFERENTIAL GEOMETRY IN GENERAL THEORY OF RELATIVITY AND COSMOLOGY


SOME APPLICATIONS OF DIFFERENTIAL GEOMETRY – APPLICATIONS OF DIFFERENTIAL GEOMETRY IN GENERAL THEORY OF RELATIVITY AND COSMOLOGY

SOME APPLICATIONS OF DIFFERENTIAL GEOMETRY – THE INSIDE GEOMETRY OF THE SPECIAL THEORY OF RELATIVITY


SOME APPLICATIONS OF DIFFERENTIAL GEOMETRY – THE INSIDE GEOMETRY OF THE SPECIAL THEORY OF RELATIVITY

SOME APPLICATIONS OF DIFFERENTIAL GEOMETRY – MAPPINGS ON SURFACE S AND SPACES(2)


SOME APPLICATIONS OF DIFFERENTIAL GEOMETRY – MAPPINGS ON SURFACE S AND SPACES(2)

SOME APPLICATIONS OF DIFFERENTIAL GEOMETRY – MAPPINGS ON SURFACE S AND SPACES


SOME APPLICATIONS OF DIFFERENTIAL GEOMETRY – MAPPINGS ON SURFACE S AND SPACES

SOME APPLICATIONS OF DIFFERENTIAL GEOMETRY – APPLICATIONS OF TENSORS IN PHYSICAL LAWS AND EQUATIONS


SOME APPLICATIONS OF DIFFERENTIAL GEOMETRY – APPLICATIONS OF TENSORS IN PHYSICAL LAWS AND EQUATIONS

SURFACE EMBEDDED IN SPACE: GAUSS-BONNET THEOREM WITH SOME APPLICATIONS(2)


SURFACE EMBEDDED IN SPACE: GAUSS-BONNET THEOREM WITH SOME APPLICATIONS(2)

SURFACE EMBEDDED IN SPACE: GAUSS-BONNET THEOREM WITH SOME APPLICATIONS


SURFACE EMBEDDED IN SPACE: GAUSS-BONNET THEOREM WITH SOME APPLICATIONS

SURFACE EMBEDDED IN SPACE: PROBLEMS ON SURFACE EMBEDDED IN SPACE(2)


SURFACE EMBEDDED IN SPACE: PROBLEMS ON SURFACE EMBEDDED IN SPACE(2)

SURFACE EMBEDDED IN SPACE: PROBLEMS ON SURFACE EMBEDDED IN SPACE


SURFACE EMBEDDED IN SPACE: PROBLEMS ON SURFACE EMBEDDED IN SPACE

SURFACE EMBEDDED IN SPACE: ASYMPTOTIC LINES, EULER’S THEOREM ON NORMAL CURVATURE AND DUPIN INDICATRIX


SURFACE EMBEDDED IN SPACE: ASYMPTOTIC LINES, EULER’S THEOREM ON NORMAL CURVATURE AND DUPIN INDICATRIX

SURFACE EMBEDDED IN SPACE: LINES OF CURVATURE AND RODRIGUE’S FORMULA


SURFACE EMBEDDED IN SPACE: LINES OF CURVATURE AND RODRIGUE’S FORMULA

SURFACE EMBEDDED IN SPACE: PRINCIPAL CURVATURE


SURFACE EMBEDDED IN SPACE: PRINCIPAL CURVATURE

SURFACE EMBEDDED IN SPACE: GAUSS AND CODAZZI- MAINARDI EQUATIONS(2)


SURFACE EMBEDDED IN SPACE: GAUSS AND CODAZZI- MAINARDI EQUATIONS(2)

March 20, 2017

SURFACE EMBEDDED IN SPACE: GAUSS AND CODAZZI- MAINARDI EQUATIONS


SURFACE EMBEDDED IN SPACE: GAUSS AND CODAZZI- MAINARDI EQUATIONS

SURFACES EMBEDDED IN SPACE: GAUSS AND WEINGARTEN FORMULAS AND THIRD FUNDAMENTAL FORM OF A SURFACE


SURFACES EMBEDDED IN SPACE: GAUSS AND WEINGARTEN FORMULAS AND THIRD FUNDAMENTAL FORM OF A SURFACE

SURFACE EMBEDDED IN SPACE: SECOND FUNDAMENTAL FORM AND ITS APPLICATIONS


SURFACE EMBEDDED IN SPACE: SECOND FUNDAMENTAL FORM AND ITS APPLICATIONS

CURVATURE ON SURFACE: INTRINSIC GEOMETRY OF CURVES ON SURFACE-(2)


CURVATURE ON SURFACE: INTRINSIC GEOMETRY OF CURVES ON SURFACE-(2)

CURVATURE ON SURFACE: INTRINSIC GEOMETRY OF CURVES ON SURFACE-1


CURVATURE ON SURFACE: INTRINSIC GEOMETRY OF CURVES ON SURFACE-1

CURVATURE ON SURFACE: PARALLEL VECTOR FIELD AND GAUSSIAN CURVATURE


CURVATURE ON SURFACE: PARALLEL VECTOR FIELD AND GAUSSIAN CURVATURE

SURFACE: GEODESIC ON A SURFACE


SURFACE: GEODESIC ON A SURFACE

SURFACE: PARAMETRIC REPRESENTATION OF SURFACES AND FIRST FUNDAMENTAL FORM


SURFACE: PARAMETRIC REPRESENTATION OF SURFACES AND FIRST FUNDAMENTAL FORM

GEOMETRY OF SPACE CURVE: FUNDAMENTAL THEOREM FOR SPACE CURVE


GEOMETRY OF SPACE CURVE: FUNDAMENTAL THEOREM FOR SPACE CURVE