DIFFERENCE BETWEEN RATIONAL AND IRRATIONAL NUMBERS

All integers are rational numbers; but it does not necessarily mean that all non-integers are irrational.

 Rational numbers can be expressed as both fraction and decimal; irrational numbers can be expressed as decimal but not in fraction form.

Series vs Sequence

• Sequence and series are encountered in mathematics

• Sequence is an arrangement of numbers in an orderly manner.

• Sequences are of many types and most popular are arithmetic and geometric

• Series is the sum of a sequence which one gets when he adds up all individual numbers of a sequence.

Difference between sphere and Circle

       Both sphere and circle are round in shape but both of these are different to each other. If we compare a football and wheel we can understand the difference between them. A sphere is three dimensional object while a circle is a two dimensional object.

Fields Medal

The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years. The Fields Medal is sometimes viewed as the highest honor a mathematician can receive.^[1][2] The Fields Medal and the Abel Prize have often been described as the mathematician's "Nobel Prize". The Fields Medal differs from the Abel in view of the age restriction mentioned above.

The prize comes with a monetary award, which since 2006 has been 15,000.The colloquial name is in honour of Canadian mathematician John Charles Fields. Fields was instrumental in establishing the award, designing the medal itself, and funding the monetary component.

The medal was first awarded in 1936 to Finnish mathematician Lars Ahlfors and American mathematician Jesse Douglas, and it has been awarded every four years since 1950. Its purpose is to give recognition and support to younger mathematical researchers who have made major contributions.