A Brief History Of Mathematics

Episodes

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01Newton and Leibniz20100614Marcus du Sautoy argues that mathematics is the driving force behind modern science: Newton, Leibniz and calculus.

This ten-part history of mathematics reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, the story of two late 17th century mathematicians who worked on the same problem at the same time - the calculus - in which the great hero of British science, Newton, reveals himself to be a little less gentlemanly than his German rival, Leibniz. The calculus is one of the greatest achievements of mankind: an astronaut and an investment analyst pay homage to its enormous power.

Producer: Anna Buckley

Marcus du Sautoy argues that mathematics is the driving force behind modern science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

01Newton and Leibniz2010061420100927 (R4)Marcus du Sautoy argues that mathematics is the driving force behind modern science: Newton, Leibniz and calculus.

This ten-part history of mathematics reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, the story of two late 17th century mathematicians who worked on the same problem at the same time - the calculus - in which the great hero of British science, Newton, reveals himself to be a little less gentlemanly than his German rival, Leibniz. The calculus is one of the greatest achievements of mankind: an astronaut and an investment analyst pay homage to its enormous power.

Producer: Anna Buckley

Marcus du Sautoy argues that mathematics is the driving force behind modern science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

01Newton and Leibniz2010061420140203 (R4)Marcus du Sautoy argues that mathematics is the driving force behind modern science: Newton, Leibniz and calculus.

This ten-part history of mathematics reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, the story of two late 17th century mathematicians who worked on the same problem at the same time - the calculus - in which the great hero of British science, Newton, reveals himself to be a little less gentlemanly than his German rival, Leibniz. The calculus is one of the greatest achievements of mankind: an astronaut and an investment analyst pay homage to its enormous power.

Producer: Anna Buckley

Marcus du Sautoy argues that mathematics is the driving force behind modern science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

02Leonhard Euler20100615Marcus du Sautoy argues that mathematics is the driving force behind modern science: Leonhard Euler and an 18th-century puzzle.

This ten-part history of mathematics reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, how the mathematics that Leonard Euler invented two hundred years ago has transformed the internet. Euler's solution to an 18th-century conundrum paved the way for the search engines most of us use every day.

Producer: Anna Buckley

From 2010.

Marcus du Sautoy argues that mathematics is the driving force behind modern science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

02Leonhard Euler2010061520100927 (R4)Marcus du Sautoy argues that mathematics is the driving force behind modern science: Leonhard Euler and an 18th-century puzzle.

This ten-part history of mathematics reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, how the mathematics that Leonard Euler invented two hundred years ago has transformed the internet. Euler's solution to an 18th-century conundrum paved the way for the search engines most of us use every day.

Producer: Anna Buckley

From 2010.

Marcus du Sautoy argues that mathematics is the driving force behind modern science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

02Leonhard Euler2010061520140204 (R4)Marcus du Sautoy argues that mathematics is the driving force behind modern science: Leonhard Euler and an 18th-century puzzle.

This ten-part history of mathematics reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, how the mathematics that Leonard Euler invented two hundred years ago has transformed the internet. Euler's solution to an 18th-century conundrum paved the way for the search engines most of us use every day.

Producer: Anna Buckley

From 2010.

Marcus du Sautoy argues that mathematics is the driving force behind modern science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

03Joseph Fourier20100616Marcus du Sautoy argues that mathematics is the driving force behind modern science: Joseph Fourier's insightful maths.

This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, the mathematics of Joseph Fourier. It's thanks to his mathematical insight that you can hear Marcus on the radio and that Brian Eno can create sounds that have never been heard before.

Producer: Anna Buckley

From 2010.

Marcus du Sautoy argues that mathematics is the driving force behind modern science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

03Joseph Fourier2010061620100928 (R4)Marcus du Sautoy argues that mathematics is the driving force behind modern science: Joseph Fourier's insightful maths.

This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, the mathematics of Joseph Fourier. It's thanks to his mathematical insight that you can hear Marcus on the radio and that Brian Eno can create sounds that have never been heard before.

Producer: Anna Buckley

From 2010.

Marcus du Sautoy argues that mathematics is the driving force behind modern science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

03Joseph Fourier2010061620140205 (R4)Marcus du Sautoy argues that mathematics is the driving force behind modern science: Joseph Fourier's insightful maths.

This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, the mathematics of Joseph Fourier. It's thanks to his mathematical insight that you can hear Marcus on the radio and that Brian Eno can create sounds that have never been heard before.

Producer: Anna Buckley

From 2010.

Marcus du Sautoy argues that mathematics is the driving force behind modern science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

04Evariste Galois20100617Marcus du Sautoy argues that mathematics is the driving force behind modern science: mathematics during the French Revolution.

This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today how the mathematics of the French revolutionary, Evariste Galois, has proved invaluable to particle physicists working today.The mathematics that Galois began, over two hundred years ago, now absolutely describes the fundamental particles that make up our universe.

Producer: Anna Buckley

From 2010.

Marcus du Sautoy argues that mathematics is the driving force behind modern science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

04Evariste Galois2010061720100928 (R4)Marcus du Sautoy argues that mathematics is the driving force behind modern science: mathematics during the French Revolution.

This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today how the mathematics of the French revolutionary, Evariste Galois, has proved invaluable to particle physicists working today.The mathematics that Galois began, over two hundred years ago, now absolutely describes the fundamental particles that make up our universe.

Producer: Anna Buckley

From 2010.

Marcus du Sautoy argues that mathematics is the driving force behind modern science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

04Evariste Galois2010061720140206 (R4)Marcus du Sautoy argues that mathematics is the driving force behind modern science: mathematics during the French Revolution.

This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today how the mathematics of the French revolutionary, Evariste Galois, has proved invaluable to particle physicists working today.The mathematics that Galois began, over two hundred years ago, now absolutely describes the fundamental particles that make up our universe.

Producer: Anna Buckley

From 2010.

Marcus du Sautoy argues that mathematics is the driving force behind modern science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

05Carl Friedrich Gauss20100618Marcus du Sautoy argues that mathematics is the driving force behind modern science: German mathematician, Carl Friedrich Gaus.

This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

It was the German scientist and mathematician, Carl Friedrich Gauss, who said mathematics was the Queen of Science. One of his many mathematical breakthroughs, the Gaussian or normal distribution, is the lifeblood of statistics. It underpins modern medicine and is a valuable tool in the fight against prejudice.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

05Carl Friedrich Gauss2010061820100929 (R4)Marcus du Sautoy argues that mathematics is the driving force behind modern science: German mathematician, Carl Friedrich Gaus.

This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

It was the German scientist and mathematician, Carl Friedrich Gauss, who said mathematics was the Queen of Science. One of his many mathematical breakthroughs, the Gaussian or normal distribution, is the lifeblood of statistics. It underpins modern medicine and is a valuable tool in the fight against prejudice.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

05Carl Friedrich Gauss2010061820140207 (R4)Marcus du Sautoy argues that mathematics is the driving force behind modern science: German mathematician, Carl Friedrich Gaus.

This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

It was the German scientist and mathematician, Carl Friedrich Gauss, who said mathematics was the Queen of Science. One of his many mathematical breakthroughs, the Gaussian or normal distribution, is the lifeblood of statistics. It underpins modern medicine and is a valuable tool in the fight against prejudice.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

06The Mathematicians Who Helped Einstein20100621This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, the pioneering nineteenth century mathematicians who helped Albert Einstien with his maths: Jonas Bolyai, Nicolas Loachevski and Bernhard Riemann. Without the mathematics to describe curved space and multiple dimensions, the theory of relativity doesn't really work.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

06The Mathematicians Who Helped Einstein2010062120100929 (R4)This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, the pioneering nineteenth century mathematicians who helped Albert Einstien with his maths: Jonas Bolyai, Nicolas Loachevski and Bernhard Riemann. Without the mathematics to describe curved space and multiple dimensions, the theory of relativity doesn't really work.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

06The Mathematicians Who Helped Einstein2010062120140210 (R4)This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, the pioneering nineteenth century mathematicians who helped Albert Einstien with his maths: Jonas Bolyai, Nicolas Loachevski and Bernhard Riemann. Without the mathematics to describe curved space and multiple dimensions, the theory of relativity doesn't really work.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

07Georg Cantor20100622This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, Georg Cantor, the mathematician who showed us how to carry on counting when the numbers run out. An insight into the nature of infinity that Roger Penrose believes helps to explain why the human brain will always be cleverer than artificial intelligence.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

07Georg Cantor2010062220100930 (R4)This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, Georg Cantor, the mathematician who showed us how to carry on counting when the numbers run out. An insight into the nature of infinity that Roger Penrose believes helps to explain why the human brain will always be cleverer than artificial intelligence.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

07Georg Cantor2010062220140211 (R4)This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, Georg Cantor, the mathematician who showed us how to carry on counting when the numbers run out. An insight into the nature of infinity that Roger Penrose believes helps to explain why the human brain will always be cleverer than artificial intelligence.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

08Henri Poincar\u00e920100623This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today Henri Poincar退, the man who proved there are certain problems that mathematics will never be able to answer: a mathematical insight that gave rise to chaos theory.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

08Henri Poincar\u00e92010062320100930 (R4)This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today Henri Poincar退, the man who proved there are certain problems that mathematics will never be able to answer: a mathematical insight that gave rise to chaos theory.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

08Henri Poincar\u00e92010062320140212 (R4)This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today Henri Poincar退, the man who proved there are certain problems that mathematics will never be able to answer: a mathematical insight that gave rise to chaos theory.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

09Hardy and Ramanujan20100624This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, G.H.Hardy, the mathematician who insisted he had never done anything useful. And yet his work on the "diabolical malice" inherent in prime numbers inspired the millions of codes that now help to keep the internet safe.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

09Hardy and Ramanujan2010062420101001 (R4)This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, G.H.Hardy, the mathematician who insisted he had never done anything useful. And yet his work on the "diabolical malice" inherent in prime numbers inspired the millions of codes that now help to keep the internet safe.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

09Hardy and Ramanujan2010062420140213 (R4)This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, G.H.Hardy, the mathematician who insisted he had never done anything useful. And yet his work on the "diabolical malice" inherent in prime numbers inspired the millions of codes that now help to keep the internet safe.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

10Nicolas Bourbaki20100625This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, the mathematician that never was, Nicolas Bourbaki. A group of French mathematicians, working between the two world wars and writing under the pseudonym Nicolas Bourbaki transformed their discipline and paved the way for several mathematical breakthroughs in the 21st century.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

10Nicolas Bourbaki2010062520101001 (R4)This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, the mathematician that never was, Nicolas Bourbaki. A group of French mathematicians, working between the two world wars and writing under the pseudonym Nicolas Bourbaki transformed their discipline and paved the way for several mathematical breakthroughs in the 21st century.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.

10Nicolas Bourbaki2010062520140214 (R4)This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, the mathematician that never was, Nicolas Bourbaki. A group of French mathematicians, working between the two world wars and writing under the pseudonym Nicolas Bourbaki transformed their discipline and paved the way for several mathematical breakthroughs in the 21st century.

Producer: Anna Buckley

From 2010.

Professor Marcus du Sautoy argues that mathematics drives science.

Professor Marcus du Sautoy reveals the personalities behind the calculations.