INTERGRAL CALCULUS HAND WRITTEN NOTE BY DIPS ACADEMY

The fundamental concepts and theory of integral and differential calculus, primarily the relationship between differentiation and integration, as well as their application to the solution of applied problems, were developed in the works of P. de Fermat, I. Newton and G. Leibniz at the end of the 17th century. Their investigations were the beginning of … Read more

INTERGRAL EQUATION NOTE BY DIPS ACADEMY

The fundamental concepts and theory of integral and differential calculus, primarily the relationship between differentiation and integration, as well as their application to the solution of applied problems, were developed in the works of P. de Fermat, I. Newton and G. Leibniz at the end of the 17th century. Their investigations were the beginning of … Read more

COMPLEX ANALYSIS NOTE BY DIPS ACADEMY

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.  It is useful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and particularly … Read more

MODERN ALGEBRA:- RING THEORY NOTE BY DIPS ACADEMY

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra. It consists of a set equipped with two binary operations that generalize the arithmetic operations of addition and multiplication. Through this generalization, theorems from arithmetic are extended to non-numerical objects such as polynomials, series, matrices and functions.  A ring is … Read more

LINEAR TRANSFORMATION AND REAL ANALYSIS HAND WRITTEN NOTE BY DIPS ACADEMY

A linear transformation is a function from one vector space to another that respects the underlying (linear) structure of each vector space. A linear transformation is also known as a linear operator or map.  The range of the transformation may be the same as the domain, and when that happens, the transformation is known as … Read more