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Positive and Negative Quantities

When we speak of a certain quantity of money, it may either be a gain or a loss, a receipt or a payment. Gains and loss are so related that if we gain as much as we lose the effect on our stock is nothing. Hence a quantity of money forms a gain is said to be opposite in character to a quantity which forms a loss.

Filed Under: Algebra Tagged With: Negative Quantities, Positive Quantities

Classification of Numbers

Following are the types of numbers. Natural numbers, Whole numbers, Prime numbers, Composite numbers, Integers, Rational Numbers, Irrational number, Real Number etc

Filed Under: Algebra Tagged With: Composite numbers, Integers, Irrational number, Natural numbers, Prime numbers, Rational Numbers, Real Number, Whole numbers

More on Complex Numbers

In this chapter we shall cover advanced topics under complex numbers.

Filed Under: Algebra Tagged With: Amplitude of Complex Number, Argument of Complex Number, Complex Numbers

Combination

A combination is a grouping or selection of all or part of a number of things without reference to the arrangement of the things selected.

Filed Under: Algebra Tagged With: Combination, Combination Formula, Group Theory, Permutation

Permutation

A permutation is an arrangement of all or part of a number of things in a definite order. For example, the permutations of the three letters a, b, c taken all at a time are abc, acb, bac, bca, cba, cab.

Filed Under: Algebra Tagged With: Group Theory, Permutations

Logarithm

a and M be two real numbers such that a>0 and not equal to 1and M > 0. A real number x is called “the logarithm of M to the base a” if a to the power of x is equal to M.

Filed Under: Algebra Tagged With: Log 1, Log e, Logarithm, Logarithm Laws

Quadratic Equations

An equation of the form ax^2 + bx +c = 0 (a being nonzero) in which 2 is the highest power of x and a,b,c are any three numbers free from x is called an equation of second degree or a quadratic equation in x.

Filed Under: Algebra Tagged With: Complex Numbers, Quadratic Equation

Complex Numbers

Real numbers are not sufficient for solving all algebraic problems. Hence, a new set of numbers which are different from real numbers were invented and termed as complex numbers or imaginary numbers.

Filed Under: Algebra Tagged With: Complex Numbers, imaginary numbers, numbers, real numbers

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