Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series, and analytic functions. These theories are often studied in the context of real numbers, complex numbers, and real and complex functions. However, they can also be defined and studied in any space of mathematical objects that has a definition of nearness (a topological space) or, more specifically, distance (a metric space).
Multiplying Complex Numbers
Understanding i and the complex plane
Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.
Adding Complex Numbers
Subtracting Complex Numbers
Dividing Complex Numbers
3 basic differential equations that can be solved by taking the antiderivatives of both sides.
Differential equations with only first derivatives.
Dividing complex numbers. Complex conjugates.
The references ... are to the tenth edition of the Differential calculus.--Pref
Differential calculus -- Problems, exercises, etc
Description: This note contains problems and their solutions related to Second-Order Linear Differential Equations
Description: This book covers the following topics: Introduction to odes, First-order odes, Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations
Description: The aim of this book is to give a self contained introduction to the field of ordinary differential equations with emphasis on the dynamical systems point of view while still keeping an eye on classical tools as pointed out before. Covered topics are: Newton�s equations, Classification of differential equations, First order autonomous equations, Qualitative analysis of first order equations, Initial value problems, Linear equations, Differential equations in...
Description: Although mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, other undergraduates, especially those in education and the liberal arts, often need a more basic introduction to the topic. In this book the author solves the problem of maintaining the interest of students at both levels by offering a combinatorial approach to elementary number theory. In studying number theory from such a per...
2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 1)
Introduction to separable differential equations.
2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 3)
2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 2)