**Fundamental theorem of arithmetic**– any natural number (positive integer like 1,2,3) greater than 1 is either a prime number or can be expressed uniquely as a product of prime numbers.

**Fermat’s last theorem**– there are no series x,y,z (all different from 0) such that x^{n }+ y^{n}= z^{n}Where n is an integer greater than 2.

**Boldbach’s conjecture**– every integer greater than 2 can be written as a sum of two primes.

**Calculus**– calculus is a branch of mathematics developed from Algebra and geometry, and is built on to reciprocal complementary notion-

- differential calculus deals with the rate of change of one quantity with the respect to the other.
- integral calculus is concerned with the accumulation of quantities.

**Non – Euclidean geometry –**denying or going beyond Euclidean principles in geometry, especially contravening the postulate that only one line through a given point can be parallel to a given line.

**Fractals –**a curve or geometrical figure, each part of which has the same statistical character as the whole. They are useful in modelling structures (such as snowflakes) in which similar patterns recur at progressively smaller scales, and in describing partly random or chaotic phenomena such as crystal growth and galaxy formation.

**RSA algorithm –**RSA is an algorithm used by modern computers to encrypt and decrypt messages. It is an asymmetric cryptographic algorithm. Asymmetric means that there are two different keys. This is also called public key cryptography, because one of the keys can be given to anyone.

**Four colour theorem**– In mathematics, the four color theorem, or the four colormap theorem, states that, given any separation of a plane into contiguous regions, producing a figure called a map, no more than four colors are required to color the regions of the map so that no two adjacent regions have the same color.

**Game theory –**Game theoryis the study of maths models of strategic interaction between rational decision-makers. It has applications in all fields of social science, as well as in logic and computer science Originally, it addressed zero sum addressed in which one person’s gains result in losses for the other participants.

**Topology –**the study of geometrical properties and spatial relations unaffected by the continuous change of shape or size of figures.**Fundamental theorem of arithmetic**– any natural number (positive integer like 1,2,3) greater than 1 is either a prime number or can be expressed uniquely as a product of prime numbers.

**Fermat’s last theorem**– there are no series x,y,z (all different from 0) such that x^{n }+ y^{n}= z^{n}Where n is an integer greater than 2.

**Boldbach’s conjecture**– every integer greater than 2 can be written as a sum of two primes.

**Calculus**– calculus is a branch of mathematics developed from Algebra and geometry, and is built on to reciprocal complementary notion-

- differential calculus deals with the rate of change of one quantity with the respect to the other.
- integral calculus is concerned with the accumulation of quantities.

**Non – Euclidean geometry –**denying or going beyond Euclidean principles in geometry, especially contravening the postulate that only one line through a given point can be parallel to a given line.

**Fractals –**a curve or geometrical figure, each part of which has the same statistical character as the whole. They are useful in modelling structures (such as snowflakes) in which similar patterns recur at progressively smaller scales, and in describing partly random or chaotic phenomena such as crystal growth and galaxy formation.

**RSA algorithm –**RSA is an algorithm used by modern computers to encrypt and decrypt messages. It is an asymmetric cryptographic algorithm. Asymmetric means that there are two different keys. This is also called public key cryptography, because one of the keys can be given to anyone.

**Four colour theorem**– In mathematics, the four color theorem, or the four colormap theorem, states that, given any separation of a plane into contiguous regions, producing a figure called a map, no more than four colors are required to color the regions of the map so that no two adjacent regions have the same color.

**Game theory –**Game theoryis the study of maths models of strategic interaction between rational decision-makers. It has applications in all fields of social science, as well as in logic and computer science Originally, it addressed zero sum addressed in which one person’s gains result in losses for the other participants.

**Topology –**the study of geometrical properties and spatial relations unaffected by the continuous change of shape or size of figures.**Fundamental theorem of arithmetic**– any natural number (positive integer like 1,2,3) greater than 1 is either a prime number or can be expressed uniquely as a product of prime numbers.

**Fermat’s last theorem**– there are no series x,y,z (all different from 0) such that x^{n }+ y^{n}= z^{n}Where n is an integer greater than 2.

**Boldbach’s conjecture**– every integer greater than 2 can be written as a sum of two primes.

**Calculus**– calculus is a branch of mathematics developed from Algebra and geometry, and is built on to reciprocal complementary notion-

- differential calculus deals with the rate of change of one quantity with the respect to the other.
- integral calculus is concerned with the accumulation of quantities.

**Non – Euclidean geometry –**denying or going beyond Euclidean principles in geometry, especially contravening the postulate that only one line through a given point can be parallel to a given line.

**Fractals –**a curve or geometrical figure, each part of which has the same statistical character as the whole. They are useful in modelling structures (such as snowflakes) in which similar patterns recur at progressively smaller scales, and in describing partly random or chaotic phenomena such as crystal growth and galaxy formation.

**RSA algorithm –**RSA is an algorithm used by modern computers to encrypt and decrypt messages. It is an asymmetric cryptographic algorithm. Asymmetric means that there are two different keys. This is also called public key cryptography, because one of the keys can be given to anyone.

**Four colour theorem**– In mathematics, the four color theorem, or the four colormap theorem, states that, given any separation of a plane into contiguous regions, producing a figure called a map, no more than four colors are required to color the regions of the map so that no two adjacent regions have the same color.

**Game theory –**Game theoryis the study of maths models of strategic interaction between rational decision-makers. It has applications in all fields of social science, as well as in logic and computer science Originally, it addressed zero sum addressed in which one person’s gains result in losses for the other participants.

**Topology –**the study of geometrical properties and spatial relations unaffected by the continuous change of shape or size of figures.**Fundamental theorem of arithmetic**– any natural number (positive integer like 1,2,3) greater than 1 is either a prime number or can be expressed uniquely as a product of prime numbers.

**Fermat’s last theorem**– there are no series x,y,z (all different from 0) such that x^{n }+ y^{n}= z^{n}Where n is an integer greater than 2.

**Boldbach’s conjecture**– every integer greater than 2 can be written as a sum of two primes.

**Calculus**– calculus is a branch of mathematics developed from Algebra and geometry, and is built on to reciprocal complementary notion-

- differential calculus deals with the rate of change of one quantity with the respect to the other.
- integral calculus is concerned with the accumulation of quantities.

**Non – Euclidean geometry –**denying or going beyond Euclidean principles in geometry, especially contravening the postulate that only one line through a given point can be parallel to a given line.

**Fractals –**a curve or geometrical figure, each part of which has the same statistical character as the whole. They are useful in modelling structures (such as snowflakes) in which similar patterns recur at progressively smaller scales, and in describing partly random or chaotic phenomena such as crystal growth and galaxy formation.

**RSA algorithm –**RSA is an algorithm used by modern computers to encrypt and decrypt messages. It is an asymmetric cryptographic algorithm. Asymmetric means that there are two different keys. This is also called public key cryptography, because one of the keys can be given to anyone.

**Four colour theorem**– In mathematics, the four color theorem, or the four colormap theorem, states that, given any separation of a plane into contiguous regions, producing a figure called a map, no more than four colors are required to color the regions of the map so that no two adjacent regions have the same color.

**Game theory –**Game theoryis the study of maths models of strategic interaction between rational decision-makers. It has applications in all fields of social science, as well as in logic and computer science Originally, it addressed zero sum addressed in which one person’s gains result in losses for the other participants.

**Topology –**the study of geometrical properties and spatial relations unaffected by the continuous change of shape or size of figures.