MATHEMATICS PPT

•Great Mathematician

Aryabhatta

• Aryabhata worked on the approximation for pi (), and may have come to the conclusion that is irrational. In the second part of the Aryabhatiyam .

Srinivasa Ramanujan  (22 December 1887 – 26 April

1920) was a legendary Indian mathematician who, with almost no formal training

in pure mathematics, made substantial contributions

to mathematical analysis, number theory, infinite

series andcontinued fractions.

Galileo Galilei• 1564 A.D. – 1642 A.D.• Italy• Teacher• Astrology• Mathematician

PYTHAGORAS

569 B.C. – 475 B.C.GreeceFirst pure mathematician5 beliefsSecret societyPythagorean theorem

•384 B.C. – 322 B.C.•Greece•Philosopher•Studied mathematics in relation to science

ARISTOTLE

325 B.C. – 265 B.C.Greece

Wrote The ElementsGeometry today

Euclid

•Euclid also known as Euclid of Alexandria, was a Greek mathematician, often referred to as the "Father of Geometry“. His Elements is one of the most influential works in the history of mathematics. Euclid deduced the principles of what is now called Euclidean geometry from a small set of axioms.

Leonardo da Vinci

•1452 A.D. -1519 A.D.•Italy•Geometry with mechanical methods•Painter•Architect•Mechanic

•Carl Friedrich Gauss, the "Prince of Mathematics," exhibited his calculative powers when he corrected his father's arithmetic before the age of three. His genius was confirmed at the age of nineteen when he proved that the regular n-gon was constructible, for odd n, if and only if n is the product of distinct prime Fermat numbers.

Al-Khwarizmi780 A.D.-850 A.D.Baghdad (in Iraq)

1st book on AlgebraAlgebra

Natural NumberEquation

De L’hopital• 1661 A.D. – 1704 A.D.• France• Differential Calculus• L”Hopital’s Rule

François Viètewas

• François Viètewas a French mathematician

(1540 - February 13, 1603).

Vieta’s product of nested radicals (1592) was the first

formula for Pi

21

21

21

21

21

21

21

21

212

. John Wallis (November 23, 1616 - October 28, 1703) was an English mathematician who is given partial credit for the development of modern calculus

Wallis product for Pi - 1656

8897

6675

4453

22312

. •William Brouncker, 2nd Viscount Brouncker, FRS (1620 – 5 April 1684) was an English mathematician.

Brouncker’s continued fraction for Pi - 1656

272

52

32

114

2

2

2

2

George Berkeley  (12 March 1685 – 14 January 1753), also known as Bishop Berkeley, was an Irish philosopher.

. Leonhard Paul Euler (pronounced [ˈɔʏlɐ] in German,  in English;15 April 1707 – 18 September 1783) was a pioneering Swiss mathematician andphysicist who spent most of his life in Russia and Germany.

Zeta Function

1

1( )

1 1 11 2 3

zn

z z z

zn

Stamp of the former German

Democratic Republic honoring Euler on the 200th anniversary of his

death. In the middle, it shows his polyhedral

formula V − E + F = 2.

• Euler wrote some 866 Books, papers and letters of ground breaking mathematical content

• He is the most prolific mathematician of all time

• Even though he went blind in his later years, his mathematical productivity increased

. Joseph-Louis Lagrange, born Giuseppe Lodovico Lagrangia (25 January 1736 –10 April 1813) was an Italian mathematician and astronomer, who lived most of his life in Prussia and France, making significant contributions to all fields of analysis, to number theory, and to classical and celestial mechanics

• Lagrangian mechanics

• Between 1772 and 1788, Lagrange re-formulated Classical/Newtonian mechanics to simplify formulas and ease calculations. These mechanics are called Lagrangian mechanics.

• Worked on Celestial Mechanics and the solution of algebraic equations

. • Pierre-Simon, marquis de Laplace (23 March 1749 – 5 March 1827) was a French mathematician and astronomer whose work was pivotal to the development of mathematical astronomy and statistics.

• Laplace worked on Celestial Mechanics

• M é ca n I q u e C é l e s t e

• Tried to prove that the solar system was stable

Johann Carl Friedrich Gauss. (30 April 1777 – 23 February 1855)“The Prince of Mathematicians

•

• Prime numbers of this form are also known as the Fermat primes

•

• Gauss proved that a regular n-gon could be geometrically constructed if the number of sides were a product of distinct Fermat Primes times a power of two

Jean Baptiste Joseph Fourier (March 21, 1768 – May 16, 1830) was a French mathematician and physicist best known for I

initiating the investigation of Fourier series and their application to problems of heat.

• Let f(x) have period 2L f(x+2L)=f(x)

0

1

( ) cos sin2 n n

n

a nx nxf x a bL L

1 ( )cosc L

nc

nxa f x dxL L

1 ( )sinc L

nc

nxb f x dxL L

Augustin Louis Cauchy (21 August 1789 – 23 May 1857; was a French mathematician.

Évariste Galois October 25, 1811 – May 31, 1832) was a French mathematician

born in Bourg-la-Reine

• .

•Euler may be the most influential mathematician who ever lived he ranks #77 on Michael Hart's famous list of the Most Influential Persons in History. His notations and methods in many areas are in use to this day.

WHAT IS MATHEMATICS

• Mathematics is a subject that every student has to study at one time or another. Some love it but if we’re being honest, most people hate studying maths. The importance of maths for students has never been more prominent

• Maths is one of those subjects which you can easily spend hours studying but end up none the wiser. However much you have studied, if you can not solve the problem on day of the test, you are lost. 

mathematician• A mathematician is someone who uses

an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

• Mathematics is concerned with numbers, data, quantity, structure, space , models and change.

Archimedes of Syracuse• Nationality: Greek

• Famous For: Greatest mathematician of antiquity.

• Archimedes provided principles and methods used in mathematics today.

•  He provided the exact numerical value of pi, developed a system for large numbers to be expressed, and the method of exhaustion.

THALES• Nationality: Greek

• Famous For: Father of science & Thales’ theorem.

• Thales used principles of mathematics, specifically geometry, to solve everyday problems.

• He is considered as the “first true mathematician”.

• His deductive reasoning principles are applied in geometry that is a product of “Thales’ Theorem.”

Shakuntala Devi• Shakuntala Devi (4 November 1929 – 21 April

2013) was an Indian writer andmental calculator, popularly known as the "human computer".

• A child prodigy, her talents eventually earned her a place in the 1982 edition of The Guinness Book of World Records.

Albert Einstein• Albert Einstein 14 March 1879 – 18 April 1955)

was a German-born theoretical physcis. • He is best known for his theory of relativity and

specifically mass–energy equivalence, expressed by the equation E = mc2.

• Einstein received the 1921 Nobel Prize in Physics "for his services to Theoretical Physics, and especially for his discovery of the law of the photoelectric effect.”

René Descartes• René Descartes (/ˈdeɪˌkɑrt/;[5] French: [ʁəne

dekaʁt]; Latinized: Renatus Cartesius; adjectival form: "Cartesian";[6] 31 March 1596 – 11 February 1650) was a French philosopher, mathematician, and scientist. Dubbed the father of modern philosophy, much of subsequent Western philosophy is a response to his writings,[7][8] which are studied closely to this day. He spent about 20 years of his life in the Dutch Republic.

ANDREW WILES A CURRENT LIVING AND A GREAT MATHEMATICIAN. HE IS MOST WELL KNOWN FORHIS PROOF FOR FERMAT’S LAST THEOREM-THAT NO POSITIVE INTEGERS CAN SATISFY THE EQUATIONa^n+b^n=c^n FOR n GREATER THEN 2. (If n=2 it is the Pythagoras Formula).

Living from 1707 to 1783, he is regarded as the greatest mathematician to have ever walked this planet. His primary (if that’s possible) contribution to the field is with the introduction of mathematical notation including the concept of a function (and how it is written as f(x)), shorthand trigonometric functions, the ‘e’ for the base of the natural logarithm (The Euler Constant), the Greek letter Sigma for summation and the letter ‘/i’ for imaginary units,as well as the symbol pi for the ratio of a circles circumference to its diameter.

Child prodigy Gauss, the ‘Prince of Mathematics’, made his first major discovery whilst still a teenager, And wrote the incredible Disquisitiones Arithmeticae, his magnum opus, by the time he was 21. He went on to prove the fundamental theorem of algebra, and introduced the Gaussian gravitational constant in physics.

Computer Scientist and Cryptanalyst Alan Turing is regarded my many, if not most, to be one of the greatest minds of the 20th Century.

He wrote a range of brilliant papers on the subject of computing that are still relevant today, notably on Artificial Intelligence, on which he developed the Turing test which is still used to evaluate a computers ‘intelligence’.

French Philosopher, Physicist and Mathematician Rene Descartes is best known for his ‘Cogito Ergo Sum’ philosophy.Descartes helped provide the foundations of modern calculus(which Newton and Leibniz later built upon), which in itself had great bearing on the modern day field. Cartesian Geometry, known to most as the standard graph (Square grid lines, x and y axis, etc.) and its use of algebra to describe the various locations on such. Before this most geometers used plain paper (or another material or surface) to preform their art.

Euclid is credited with the instruction of the rigorous, logical proof for theorems and conjectures. Such a framework is still used to this day, and thus, arguably , he has had the greatest influence of all mathematicians