**The Journey of Maths**

Egypt

3000 BC*

3000 BC*

The Egyptian Number System

Multiplying

Fractions

Mesopotamia (now called Iraq)

1500 BC*

1500 BC*

1 10

0

India

600 BC*

600 BC*

Greece

550 BC*

550 BC*

a²=b²+c²

a

b

c

China

≈1 AD*

Dates with asterisks (*) after them are approximate.

Pictures are from other sources unless otherwise specified. I take no credit for those photos.

1 AD*

Persia (now called Iran)

750 AD*

750 AD*

Al-Kitāb al-mukhtasar fī hīsāb al-ğabr wa’l-muqābala

The Compendious Book on Calculation by Completion and Balancing

Italy

1460 AD

1460 AD

France

1637 AD

England

1665 AD

Germany

1666 AD

16-1700 AD

Descartes' Co-ordinates

Calculus

60s

1s

3600s

60s

1s

1736 AD

Europe

1850 AD*

17-1900 AD

Topology

Primes for Codes

1900 AD

1. The Continuum Hypothesis: there is no set whose size is strictly between that of the integers and that of the real numbers

2. Prove that the axioms of logic are consistent

3. Given two polyhedra of equal volume, can we always cut the first into finitely many pieces that can be reassembled to yield the second

4. Construct all metrics whose lines are geodesics

5. Are continuous groups automatically differential groups?

6. Axiomatise all of physics

7. Is ab always transcendental for algebraic a ≠ 0, 1 and irrational algebraic b?

8. The Riemann hypothesis: prove that the real part of any non-trivial zero of the Riemann zeta function is ½

9. Find the most general law of reciprocity theorem in any algebraic number field

10. Find an algorithm to determine whether a given polynomial Diophantine equation with integer coefficients has an integer solution

11. Solve quadratic fields with algebraic numerical coefficients

12. Extend the Kronecker-Weber theorem on abelian extensions of the rational numbers to any base number field

13. Solve all 7th-degree equations using functions of two variables

14. Prove the finiteness of certain systems of functions

15. Provide a rigorous foundation for Schubert's enumerative calculus

16. Study the topology of algebraic curves and surfaces

17. Express a definite rational function as a quotient of sums of squares

18. Is there a non-regular space-filling polyhedron? What is the densest sphere packing?

19. Are the solutions of Lagrangians always analytic?

20. Do all variational problems with certain boundary conditions have solutions?

21. Prove the existence of linear differential equations with a prescribedmonodromy group

22. Uniformization of analytic relations by means of automorphic forms

23. Extend the methods of the calculus of variations

1900 AD

8. The Riemann hypothesis: prove that the real part of any non-trivial zero of the Riemann zeta function is ½

NOW!

Egyptian numbers

Multiplying

Fractions

Place Value

The Sexagesimal System

The Placeholder Zero

The Real Zero

Pythagoras' Theorem

The Ten System

Algebra

Perspective

Co-ordinates

Calculus

Topology

Primes For Codes

Hilbert's Problems

**Goodbye! :-)**

these are my photos

these are my photos

Fascinating

Facts!

Fascinating

Fact No. 1

In Egypt, the 'unlucky' number 13 was a symbol of eternal life. They believed that life was in twelve stages; the thirteenth being immortal life.

Fascinating

Fact No. 2

The Mesopotamian 'Long Count' Calendar predicted that the world would end on the 21st of December last year - but luckily for us it was wrong!

Fascinating

Fact No. 3

Ancient China also liked the number 13. As it is pronounced 'shisan', it sounds extremely like the word for 'assured growth' or 'definitely vibrant'. Cool!

Fascinating

Fact No. 4

Did you know that until 1751, the British followed the 'Julian' Calendar, meaning that the New Year started on the 25th of May! Now everyone is on the modern 'Gregorian' Calendar.

Fascinating

Fact No. 5

In Britain, football shirts with numbers on were first worn in 1928, in the matches: Sheffield Wednesday vs Arsenal; and

Chelsea vs Swansea Town.