# 播放清單: 請點按影片右上角之清單標誌
source: NTHUOCW 2018年3月12日
國立清華大學開放式課程: http://ocw.nthu.edu.tw/ocw/
2018-05-17
(in English) Recent Advances in Algorithms (2017) | Computer Science Club
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source: Лекториум 2017年5月30日
The school offers the unique opportunity to learn about recent breakthroughs in several domains of algorithms: from classical areas like network flow algorithms and longest paths in graphs to recently emerged areas like streaming algorithms and algorithms for high dimensional data. The lectures will be taught by the leading researchers in these areas. Each of the tutorials will provide an introduction to the area and gradually bring to the current research frontiers. The primarily audience consists of PhD students interested in Algorithms. Bright master students, postdocs, young researchers and even faculty are also very welcome.
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1 1:01:44 Lecture 1 | Recent Advances in Algorithms | Aleksander Mądry
2 1:14:41 Lecture 2 | Recent Advances in Algorithms | Aleksander Mądry
3 1:07:50 Lecture 3 | Recent Advances in Algorithms | Aleksander Mądry
4 1:02:15 Lecture 4 | Recent Advances in Algorithms | Ilya Razenshteyn
5 57:17 Lecture 5 | Recent Advances in Algorithms | Michael Kapralov
6 1:02:07 Lecture 6 | Recent Advances in Algorithms | Saket Saurabh
7 1:02:53 Lecture 7 | Recent Advances in Algorithms | Aleksander Mądry
8 1:04:53 Lecture 8 | Recent Advances in Algorithms | Ilya Razenshteyn
9 1:05:34 Lecture 9 | Recent Advances in Algorithms | Michael Kapralov
10 1:03:19 Lecture 10 | Recent Advances in Algorithms | Saket Saurabh
11 59:31 Lecture 11 | Recent Advances in Algorithms | Ilya Razenshteyn
12 1:05:47 Lecture 12 | Recent Advances in Algorithms | Saket Saurabh
13 55:56 Lecture 13 | Recent Advances in Algorithms | Michael Kapralov
14 1:03:24 Lecture 14 | Recent Advances in Algorithms | Michael Kapralov
15 1:01:41 Lecture 15 | Recent Advances in Algorithms | Ilya Razenshteyn
16 1:18:53 Lecture 16 | Recent Advances in Algorithms | Saket Saurabh
source: Лекториум 2017年5月30日
The school offers the unique opportunity to learn about recent breakthroughs in several domains of algorithms: from classical areas like network flow algorithms and longest paths in graphs to recently emerged areas like streaming algorithms and algorithms for high dimensional data. The lectures will be taught by the leading researchers in these areas. Each of the tutorials will provide an introduction to the area and gradually bring to the current research frontiers. The primarily audience consists of PhD students interested in Algorithms. Bright master students, postdocs, young researchers and even faculty are also very welcome.
Подписывайтесь на канал: https://www.lektorium.tv/ZJA
Следите за новостями:
https://vk.com/openlektorium
https://www.facebook.com/openlektorium
1 1:01:44 Lecture 1 | Recent Advances in Algorithms | Aleksander Mądry
2 1:14:41 Lecture 2 | Recent Advances in Algorithms | Aleksander Mądry
3 1:07:50 Lecture 3 | Recent Advances in Algorithms | Aleksander Mądry
4 1:02:15 Lecture 4 | Recent Advances in Algorithms | Ilya Razenshteyn
5 57:17 Lecture 5 | Recent Advances in Algorithms | Michael Kapralov
6 1:02:07 Lecture 6 | Recent Advances in Algorithms | Saket Saurabh
7 1:02:53 Lecture 7 | Recent Advances in Algorithms | Aleksander Mądry
8 1:04:53 Lecture 8 | Recent Advances in Algorithms | Ilya Razenshteyn
9 1:05:34 Lecture 9 | Recent Advances in Algorithms | Michael Kapralov
10 1:03:19 Lecture 10 | Recent Advances in Algorithms | Saket Saurabh
11 59:31 Lecture 11 | Recent Advances in Algorithms | Ilya Razenshteyn
12 1:05:47 Lecture 12 | Recent Advances in Algorithms | Saket Saurabh
13 55:56 Lecture 13 | Recent Advances in Algorithms | Michael Kapralov
14 1:03:24 Lecture 14 | Recent Advances in Algorithms | Michael Kapralov
15 1:01:41 Lecture 15 | Recent Advances in Algorithms | Ilya Razenshteyn
16 1:18:53 Lecture 16 | Recent Advances in Algorithms | Saket Saurabh
(in English) Branching random walks | Zhan Shi (2017)
# playlist (click the video's upper-left icon)
source: Лекториум 2017年4月20日
Подписывайтесь на канал: https://www.lektorium.tv/ZJA
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https://www.facebook.com/openlektorium
source: Лекториум 2017年4月20日
Подписывайтесь на канал: https://www.lektorium.tv/ZJA
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(русский / in Russian) Лженаука в современном мире: медиасфера, школа, высшее образование (Pseudoscience in the Modern World: Media Sphere, School, Higher Education)
# playlist (click the video's upper-left icon)
source: Лекториум 2017年8月29日
Подписывайтесь на канал: https://www.lektorium.tv/ZJA
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1 10:22 Открытие конференции | Евгений Александров
2 11:46 Производство неформального знания в социальных сетях | Софья Тихонова
3 25:14 Лженаучные основы методов «чистки организма» | Алексей Водовозов, Светлана Водовозова
4 26:39 Популярная псевдопсихология | Илья Латыпов
5 26:54 Наука или лженаука? | Екатерина Виноградова, Дмитрий Жуков
6 19:31 Еще раз о «селекционизме» в публикациях по истории генетики | Михаил Конашев
7 27:25 От науки до лженауки – один шаг | Никита Хромов-Борисов
8 22:37 Теология: мировоззренческая угроза | Вадим Перов
9 28:00 Как использовать лженаучные мифы и заблуждения для популяризации науки | Георгий Соколов
10 25:20 Магистерские программы в области научных коммуникаций | Юлия Балашова
11 25:27 Наука и лженаука: противостояние продолжается. Что дальше? | Николай Курчанов
12 18:50 Образ ледового побоища: медиа-репрезентации и политика памяти | Даниил Аникин
13 18:22 Западная зодиакальная астрология: колосс на глиняных ногах | Марина Воловикова
14 18:13 Специфика лженауки в постиндустриальном обществе | Екатерина Лобанова
15 16:59 Предпосылки проникновения лженауки в геологию и другие науки о земле | Иван Хархордин
16 25:33 Отношение старшеклассников и их семей к типовым мифам лженауки | Александр Рогачев
17 12:57 Специфика популяризации научного знания в интернет-среде | Анастасия Аринушкина
18 23:38 Ложные народные представления о роли гормонов | Екатерина Виноградова, Дмитрий Жуков
19 24:40 Лженаучные идеи в современной педагогике: спрос и предложение | Марина Бигнова
20 31:35
Коммуникативное поле исторической лженауки | Денис Артамонов, Софья Тихонова
21 27:29 Проект «Новая Этимология» | Дмитрий Каунов, Анастасия Аринушкина
22 23:19 Лженаука и вода | Антон Артамонов
source: Лекториум 2017年8月29日
Подписывайтесь на канал: https://www.lektorium.tv/ZJA
Следите за новостями: https://vk.com/openlektorium
https://www.facebook.com/openlektorium
1 10:22 Открытие конференции | Евгений Александров
2 11:46 Производство неформального знания в социальных сетях | Софья Тихонова
3 25:14 Лженаучные основы методов «чистки организма» | Алексей Водовозов, Светлана Водовозова
4 26:39 Популярная псевдопсихология | Илья Латыпов
5 26:54 Наука или лженаука? | Екатерина Виноградова, Дмитрий Жуков
6 19:31 Еще раз о «селекционизме» в публикациях по истории генетики | Михаил Конашев
7 27:25 От науки до лженауки – один шаг | Никита Хромов-Борисов
8 22:37 Теология: мировоззренческая угроза | Вадим Перов
9 28:00 Как использовать лженаучные мифы и заблуждения для популяризации науки | Георгий Соколов
10 25:20 Магистерские программы в области научных коммуникаций | Юлия Балашова
11 25:27 Наука и лженаука: противостояние продолжается. Что дальше? | Николай Курчанов
12 18:50 Образ ледового побоища: медиа-репрезентации и политика памяти | Даниил Аникин
13 18:22 Западная зодиакальная астрология: колосс на глиняных ногах | Марина Воловикова
14 18:13 Специфика лженауки в постиндустриальном обществе | Екатерина Лобанова
15 16:59 Предпосылки проникновения лженауки в геологию и другие науки о земле | Иван Хархордин
16 25:33 Отношение старшеклассников и их семей к типовым мифам лженауки | Александр Рогачев
17 12:57 Специфика популяризации научного знания в интернет-среде | Анастасия Аринушкина
18 23:38 Ложные народные представления о роли гормонов | Екатерина Виноградова, Дмитрий Жуков
19 24:40 Лженаучные идеи в современной педагогике: спрос и предложение | Марина Бигнова
20 31:35
Коммуникативное поле исторической лженауки | Денис Артамонов, Софья Тихонова
21 27:29 Проект «Новая Этимология» | Дмитрий Каунов, Анастасия Аринушкина
22 23:19 Лженаука и вода | Антон Артамонов
(русский / in Russian) Математическая логика и культура математических рассуждений | Станислав Сперанский (Mathematical logic and culture of mathematical reasoning | Stanislav Speransky)
# playlist (click the video's upper-left icon)
source: Лекториум 2016年9月29日
Подписывайтесь на канал: https://www.lektorium.tv/ZJA
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source: Лекториум 2016年9月29日
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(русский / in Russian) Дискретная теория вероятностей | Юрий Давыдов (Discrete Probability Theory 2017 | Yuri Davydov)
# playlist (click the video's upper-left icon)
source: Лекториум 2017年2月20日
Подписывайтесь на канал: https://www.lektorium.tv/ZJA
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source: Лекториум 2017年2月20日
Подписывайтесь на канал: https://www.lektorium.tv/ZJA
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Jane Caplan - History - Proving Identity in English and European History
# playlist (click the video's upper-left icon)
source: GreshamCollege
The transcript and downloadable versions of the lectures are available from the Gresham College Website: http://www.gresham.ac.uk/lectures-and...
Website: http://www.gresham.ac.uk
Twitter: http://twitter.com/GreshamCollege
Facebook: https://www.facebook.com/greshamcollege
55:24 Identity and Identification
You may know who you are, but how do I know? Professor Caplan examines the knotty problem of identity verification through history: http://www.gresham.ac.uk/lectures-and...
You may know who you are, but how do I know? Looking at how this question has been answered in the past will focus on the emergence of modern ID. The concepts of identity and identification, will be defined in terms who we are to ourselves, subjectively; and who we are to others, objectively. Conventional elements of identity documents will be considered, to see how they have been regulated and used.
1:00:38 What's in a Name? More than You Might Think
How important is a name to a personal identity?: http://www.gresham.ac.uk/lectures-and...
Why start with the personal name? Because we all have one: the personal name is the universal accompaniment to living in human society. Our name encapsulates our identity for ourselves and others; it is the bedrock of almost all forms of ID. Although we probably feel that our name 'belongs' to us, names have also been the target of considerable legal regulation in certain times and places. The regulation of names in Nazi Germany will be included.
54:54 Your Hand: Signatures and Handwriting
Signing your name is now such an automatic way of proving identity and validating a document that we forget that the signature has its own history: http://www.gresham.ac.uk/lectures-and...
Signing your name is now such an automatic way of proving identity and validating a document that we forget that the signature has its own history. This presentation will explore the challenge of forged and fraudulent handwriting and the cultivation of professional expertise in its detection. The closely related field of graphology (interpretation of character from handwriting) will also be considered.
1:02:40 Speaking Scars: The Tattoo
Tattoos are one of the 'distinguishing marks' recorded by police and have also often been seen as a form of writing on the body that conveys deeper messages about the bearer's identity, especially for criminals: http://www.gresham.ac.uk/lectures-and...
Tattoos are one of the 'distinguishing marks' specified in police descriptions, and long recorded on British passports. They have also often been seen as a form of writing on the body that conveys deeper messages about the bearer's identity, especially for criminals. This lecture will discuss the original debates about the tattoo as a sign of criminal identity among 19th century European police and criminal anthropologists. It will conclude the series with some final reflections on the subjective and objective dimensions of identity and identification covered by these lectures.
source: GreshamCollege
The transcript and downloadable versions of the lectures are available from the Gresham College Website: http://www.gresham.ac.uk/lectures-and...
Website: http://www.gresham.ac.uk
Twitter: http://twitter.com/GreshamCollege
Facebook: https://www.facebook.com/greshamcollege
55:24 Identity and Identification
You may know who you are, but how do I know? Professor Caplan examines the knotty problem of identity verification through history: http://www.gresham.ac.uk/lectures-and...
You may know who you are, but how do I know? Looking at how this question has been answered in the past will focus on the emergence of modern ID. The concepts of identity and identification, will be defined in terms who we are to ourselves, subjectively; and who we are to others, objectively. Conventional elements of identity documents will be considered, to see how they have been regulated and used.
1:00:38 What's in a Name? More than You Might Think
How important is a name to a personal identity?: http://www.gresham.ac.uk/lectures-and...
Why start with the personal name? Because we all have one: the personal name is the universal accompaniment to living in human society. Our name encapsulates our identity for ourselves and others; it is the bedrock of almost all forms of ID. Although we probably feel that our name 'belongs' to us, names have also been the target of considerable legal regulation in certain times and places. The regulation of names in Nazi Germany will be included.
54:54 Your Hand: Signatures and Handwriting
Signing your name is now such an automatic way of proving identity and validating a document that we forget that the signature has its own history: http://www.gresham.ac.uk/lectures-and...
Signing your name is now such an automatic way of proving identity and validating a document that we forget that the signature has its own history. This presentation will explore the challenge of forged and fraudulent handwriting and the cultivation of professional expertise in its detection. The closely related field of graphology (interpretation of character from handwriting) will also be considered.
1:02:40 Speaking Scars: The Tattoo
Tattoos are one of the 'distinguishing marks' recorded by police and have also often been seen as a form of writing on the body that conveys deeper messages about the bearer's identity, especially for criminals: http://www.gresham.ac.uk/lectures-and...
Tattoos are one of the 'distinguishing marks' specified in police descriptions, and long recorded on British passports. They have also often been seen as a form of writing on the body that conveys deeper messages about the bearer's identity, especially for criminals. This lecture will discuss the original debates about the tattoo as a sign of criminal identity among 19th century European police and criminal anthropologists. It will conclude the series with some final reflections on the subjective and objective dimensions of identity and identification covered by these lectures.
Raymond Flood - Mathematics - Great Mathematicians, Great Mathematics (2014-16)
# playlist (click the video's upper-left icon)
source: GreshamCollege 2014年9月18日
The transcript and downloadable versions of the lectures are available from the Gresham College Website: http://www.gresham.ac.uk/lectures-and...
Website: http://www.gresham.ac.uk
Twitter: http://twitter.com/GreshamCollege
Facebook: https://www.facebook.com/greshamcollege
1 1:01:34 Fermat's Theorems
Gresham Professor of Geometry, Raymond Flood, begins his series 'Great Mathematicians, Great Mathematics' with Pierre de Fermat:http://www.gresham.ac.uk/lectures-and...
The seventeenth century mathematician Pierre de Fermat is mainly remembered for contributions to number theory even though he often stated his results without proof and published very little. He is particularly remembered for his ‘last theorem’ which was only proved in the mid-1990s by Andrew Wiles. He also stated other influential results, in particular Fermat’s ‘Little Theorem’ about certain large numbers which can be divided by primes. His ‘Little Theorem’ is the basis of important recent work in cryptography and internet security.
2 51:00 Newton's Laws
An explanation of Newton's mathematics and its applications today: http://www.gresham.ac.uk/lectures-and...
In his Principia Isaac Newton used his law of universal gravitation and three laws of motion to explain elliptical planetary motion, the orbits of comets, the variation of the tides and the flattening of the earth at its poles. Further important work on celestial mechanics was undertaken by Joseph-Louis Lagrange, Pierre-Simon Laplace and Henri Poincaré. It was Poincaré who discovered that even with Newton’s deterministic laws the resulting motion may be irregular and unpredictable, the basis of modern day chaos theory.
3 50:57 Euler's Exponentials
A thorough examination of the life and work of one of histories greatest mathematicians, the "Shakespeare of Numbers", Leonhard Euler: http://www.gresham.ac.uk/lectures-and...
Leonhard Euler was the most prolific mathematician of all time. He introduced the symbols e for the exponential number f for a function and i for √-1. He discovered what many mathematicians consider to be the most beautiful expression in mathematics, e ix = cosx + i sinx: a relation connecting the exponential and trigonometric functions. The exponential function and its inverse the logarithm function appear throughout mathematics and its applications, in physics, engineering, mathematical biology, chemistry and economics.
4 53:08 Fourier's Series
The life an work of one of the greatest mathematicians examined in detail: http://www.gresham.ac.uk/lectures-and...
Joseph Fourier was interested in the mathematical study of the diffusion of heat in solid bodies which he described using infinite trigonometric series which are now known as Fourier series. These series had major applications in many other types of physical problems and led to many of the most important mathematical discoveries of the nineteenth century. Fourier series are used not only in engineering, geology and astronomy but also in number theory, control theory and statistics.
5 57:09 Möbius and his Band
A history of one of the greatest mathematicians contribution to our understanding of the world: http://www.gresham.ac.uk/lectures-and...
Many people have heard of the Möbius band, a one-sided surface, but the work of August Möbius was more far reaching than just inventing a topological curiosity. His work in geometry, celestial mechanics and topology, sometimes called rubber sheet geometry, illuminates the mathematical and astronomical life of the nineteenth century. Möbius’s concerns, concepts and the methods he helped to develop played an important part in twentieth century mathematics.
6 53:29 Cantor's Infinities
Although many people contributed to the study of infinity over the centuries it was Georg Cantor in the nineteenth century who established its modern development. Cantor created modern set theory and established the importance of one-to-one correspondence between sets. For example he showed that the set of all integers can be put into one-to-one correspondence with the set of all fractions and so these two sets have the same infinity. But he also proved the remarkable result that there are infinitely many infinities, all of different sizes.
7 49:59 Einstein's Annus Mirabilis, 1905
Professor Flood reviews the year that made Einstein famous as he published some of his greatest work: http://www.gresham.ac.uk/lectures-and...
In 1905, his 'year of wonders', Einstein published four papers of ground-breaking importance. First he published the work that introduced quanta of energy - a core idea of quantum theory. Next was a paper on Brownian motion explaining the movement of small particles suspended in a liquid. His third paper introduced the special theory of relativity linking time, distance, mass and energy while his fourth paper contains one of the most famous equations of all, E=mc².
8 54:56 Hamilton, Boole and their Algebras
Professor Flood gives a fabulous overview of the lives and work of two mathematicians, Hamilton and Boole: http://www.gresham.ac.uk/lectures-and...
William Rowan Hamilton (1805-1865) revolutionized algebra with his discovery of quaternions, a non-commutative algebraic system, as well as his earlier work on complex numbers. George Boole (1815-1864) contributed to probability and differential equations, but his greatest achievement was to create an algebra of logic 'Boolean algebra'. These new algebras were not only important to the development of algebra but remain of current use.
9 44:50 Charles Babbage and Ada Lovelace
Professor Flood explains the lives and work of the ‘Mother and Father of Computing’: http://www.gresham.ac.uk/lectures-and...
The central figure of 19th-century computing was Charles Babbage (1791-1871), who may be said to have pioneered the modern computer age with his 'difference engines' and his 'analytical engine', although his influence on subsequent generations is hard to assess. Ada, Countess of Lovelace (1815-1852), daughter of Lord Byron and a close friend of Babbage, produced a perceptive commentary on the powers and potential of the analytical engine; this was essentially an introduction to what we now call programming.
10 54:55 Gauss and Germain
Two of the greatest mathematicians have their shared history and correspondence examined: http://www.gresham.ac.uk/lectures-and...
Carl Friedrich Gauss (1777-1855) was one of the greatest mathematicians of all time. Possibly his most famous work was his book on number theory, published in 1801. After reading this book, the French mathematicians Sophie Germain (1776-1831) began corresponding with Gauss about Fermat's last theorem, using a male pseudonym. Subsequently her interests moved to working on a general theory of vibrations of a curved surface which provided the basis for the modern theory of elasticity.
11 50:48 Hardy, Littlewood, Ramanujan and Cartwright
The story of the most productive collaborations in mathematical history: http://www.gresham.ac.uk/lectures-and...
The collaboration between G.H. Hardy (1877-1947) and J.E. Littlewood (1885-1977) was the most productive in mathematical history. Dominating the English mathematical scene for the first half of the 20th century, they obtained results of great influence, most notably in analysis and number theory. Into their world came the brilliant and intuitive mathematician, Srinivasa Ramanujan (1887-1920), who left India to work with Hardy until his untimely death at the age of 32.
12 52:11 Turing and von Neumann
An overview of the major contributions of two of the founders of computer science - John von Neumann and Alan Turing http://www.gresham.ac.uk/lectures-and...
Alan Turing (1912-1954) and John von Neumann (1903-1957) had an enormous range of interests not only in pure mathematics but also in practical applications. They made major contributions during the Second World War; Turing on cryptography and von Neumann on weapons development. The Turing machine formalised the idea of an algorithm and the Turing test is important in artificial intelligence while von Neumann founded the subject of game theory. Both are considered founders of computer science.
source: GreshamCollege 2014年9月18日
The transcript and downloadable versions of the lectures are available from the Gresham College Website: http://www.gresham.ac.uk/lectures-and...
Website: http://www.gresham.ac.uk
Twitter: http://twitter.com/GreshamCollege
Facebook: https://www.facebook.com/greshamcollege
1 1:01:34 Fermat's Theorems
Gresham Professor of Geometry, Raymond Flood, begins his series 'Great Mathematicians, Great Mathematics' with Pierre de Fermat:http://www.gresham.ac.uk/lectures-and...
The seventeenth century mathematician Pierre de Fermat is mainly remembered for contributions to number theory even though he often stated his results without proof and published very little. He is particularly remembered for his ‘last theorem’ which was only proved in the mid-1990s by Andrew Wiles. He also stated other influential results, in particular Fermat’s ‘Little Theorem’ about certain large numbers which can be divided by primes. His ‘Little Theorem’ is the basis of important recent work in cryptography and internet security.
2 51:00 Newton's Laws
An explanation of Newton's mathematics and its applications today: http://www.gresham.ac.uk/lectures-and...
In his Principia Isaac Newton used his law of universal gravitation and three laws of motion to explain elliptical planetary motion, the orbits of comets, the variation of the tides and the flattening of the earth at its poles. Further important work on celestial mechanics was undertaken by Joseph-Louis Lagrange, Pierre-Simon Laplace and Henri Poincaré. It was Poincaré who discovered that even with Newton’s deterministic laws the resulting motion may be irregular and unpredictable, the basis of modern day chaos theory.
3 50:57 Euler's Exponentials
A thorough examination of the life and work of one of histories greatest mathematicians, the "Shakespeare of Numbers", Leonhard Euler: http://www.gresham.ac.uk/lectures-and...
Leonhard Euler was the most prolific mathematician of all time. He introduced the symbols e for the exponential number f for a function and i for √-1. He discovered what many mathematicians consider to be the most beautiful expression in mathematics, e ix = cosx + i sinx: a relation connecting the exponential and trigonometric functions. The exponential function and its inverse the logarithm function appear throughout mathematics and its applications, in physics, engineering, mathematical biology, chemistry and economics.
4 53:08 Fourier's Series
The life an work of one of the greatest mathematicians examined in detail: http://www.gresham.ac.uk/lectures-and...
Joseph Fourier was interested in the mathematical study of the diffusion of heat in solid bodies which he described using infinite trigonometric series which are now known as Fourier series. These series had major applications in many other types of physical problems and led to many of the most important mathematical discoveries of the nineteenth century. Fourier series are used not only in engineering, geology and astronomy but also in number theory, control theory and statistics.
5 57:09 Möbius and his Band
A history of one of the greatest mathematicians contribution to our understanding of the world: http://www.gresham.ac.uk/lectures-and...
Many people have heard of the Möbius band, a one-sided surface, but the work of August Möbius was more far reaching than just inventing a topological curiosity. His work in geometry, celestial mechanics and topology, sometimes called rubber sheet geometry, illuminates the mathematical and astronomical life of the nineteenth century. Möbius’s concerns, concepts and the methods he helped to develop played an important part in twentieth century mathematics.
6 53:29 Cantor's Infinities
Although many people contributed to the study of infinity over the centuries it was Georg Cantor in the nineteenth century who established its modern development. Cantor created modern set theory and established the importance of one-to-one correspondence between sets. For example he showed that the set of all integers can be put into one-to-one correspondence with the set of all fractions and so these two sets have the same infinity. But he also proved the remarkable result that there are infinitely many infinities, all of different sizes.
7 49:59 Einstein's Annus Mirabilis, 1905
Professor Flood reviews the year that made Einstein famous as he published some of his greatest work: http://www.gresham.ac.uk/lectures-and...
In 1905, his 'year of wonders', Einstein published four papers of ground-breaking importance. First he published the work that introduced quanta of energy - a core idea of quantum theory. Next was a paper on Brownian motion explaining the movement of small particles suspended in a liquid. His third paper introduced the special theory of relativity linking time, distance, mass and energy while his fourth paper contains one of the most famous equations of all, E=mc².
8 54:56 Hamilton, Boole and their Algebras
Professor Flood gives a fabulous overview of the lives and work of two mathematicians, Hamilton and Boole: http://www.gresham.ac.uk/lectures-and...
William Rowan Hamilton (1805-1865) revolutionized algebra with his discovery of quaternions, a non-commutative algebraic system, as well as his earlier work on complex numbers. George Boole (1815-1864) contributed to probability and differential equations, but his greatest achievement was to create an algebra of logic 'Boolean algebra'. These new algebras were not only important to the development of algebra but remain of current use.
9 44:50 Charles Babbage and Ada Lovelace
Professor Flood explains the lives and work of the ‘Mother and Father of Computing’: http://www.gresham.ac.uk/lectures-and...
The central figure of 19th-century computing was Charles Babbage (1791-1871), who may be said to have pioneered the modern computer age with his 'difference engines' and his 'analytical engine', although his influence on subsequent generations is hard to assess. Ada, Countess of Lovelace (1815-1852), daughter of Lord Byron and a close friend of Babbage, produced a perceptive commentary on the powers and potential of the analytical engine; this was essentially an introduction to what we now call programming.
10 54:55 Gauss and Germain
Two of the greatest mathematicians have their shared history and correspondence examined: http://www.gresham.ac.uk/lectures-and...
Carl Friedrich Gauss (1777-1855) was one of the greatest mathematicians of all time. Possibly his most famous work was his book on number theory, published in 1801. After reading this book, the French mathematicians Sophie Germain (1776-1831) began corresponding with Gauss about Fermat's last theorem, using a male pseudonym. Subsequently her interests moved to working on a general theory of vibrations of a curved surface which provided the basis for the modern theory of elasticity.
11 50:48 Hardy, Littlewood, Ramanujan and Cartwright
The story of the most productive collaborations in mathematical history: http://www.gresham.ac.uk/lectures-and...
The collaboration between G.H. Hardy (1877-1947) and J.E. Littlewood (1885-1977) was the most productive in mathematical history. Dominating the English mathematical scene for the first half of the 20th century, they obtained results of great influence, most notably in analysis and number theory. Into their world came the brilliant and intuitive mathematician, Srinivasa Ramanujan (1887-1920), who left India to work with Hardy until his untimely death at the age of 32.
12 52:11 Turing and von Neumann
An overview of the major contributions of two of the founders of computer science - John von Neumann and Alan Turing http://www.gresham.ac.uk/lectures-and...
Alan Turing (1912-1954) and John von Neumann (1903-1957) had an enormous range of interests not only in pure mathematics but also in practical applications. They made major contributions during the Second World War; Turing on cryptography and von Neumann on weapons development. The Turing machine formalised the idea of an algorithm and the Turing test is important in artificial intelligence while von Neumann founded the subject of game theory. Both are considered founders of computer science.
Carolyn Roberts--Environment - Britain in Troubled Waters (2015-16)
# playlist (click the video's upper-left icon)
source: GreshamCollege 2015年10月30日
The transcript and downloadable versions of the lectures are available from the Gresham College website: http://www.gresham.ac.uk/lectures-and...
Website: http://www.gresham.ac.uk
Twitter: http://twitter.com/GreshamCollege
Facebook: https://www.facebook.com/greshamcollege
Instagram: http://www.instagram.com/greshamcollege
1:03:14 A Body in the River
Professor Roberts describes her work with UK police forces: http://www.gresham.ac.uk/lectures-and...
The bodies of murder victims, whole or in pieces, often end up in rivers or canals. Carolyn Roberts' work as an Expert Witness with UK police forces has applied the principles of hydrology to murder investigations.
In these tragic and gruesome settings, environmental science can help to identify where bodies have come from or gone to. Drawing on macabre and fascinating case studies, the lecture will range from particular cases to general principles of tracing bodies, and the application of science in supporting the law.
Probably not for those of a nervous disposition, but of guaranteed interest to the curious.
1:07:07 The Next Big UK Flood: Britain Under Water
Serious flooding and the water security of the nation’s water are Professor Roberts’ topics in this lecture: http://www.gresham.ac.uk/lectures-and...
What are the odds that events will conspire to put London under water during the next few years? Are the catastrophic Summer 2007 floods in the English Midlands and the recent events of southeast England harbingers of worse to come, particularly as the climate shifts?
Serious flooding poses major challenges to the UK's security, despite changes in the way we try to manage both water and damage.
The lecture will review the UK's recent experiences and explore how management and infrastructural improvements are being attempted. Can science, technology and collaboration reduce our vulnerability to floods?
55:22 The Creeping Paralysis of Drought
Drought threatens the globe and water security becomes a top priority for nations. Professor Roberts explains: http://www.gresham.ac.uk/lectures-and...
Water shortage is an increasingly common challenge to development in southern England, as water is progressively diverted away from supporting ecosystems, and into agri-business, industry and homes. Climate change and population growth appear to be drawing us closer to the edge of an abyss. Drawing on research in the developed world (particularly in Spain and the UK), the lecture will explore the anatomy of severe droughts, and their consequences.
Can technology innovation offer realistic solutions to this problem, or will the competing interests of many different stakeholders prevent us from agreeing what needs to be done?
58:35 Oil on Troubled Water: The Industrial Legacy and Britain's Groundwater
Britain’s Groundwater is amongst its most precious and most threatened resources. Professor Roberts explains: http://www.gresham.ac.uk/lectures-and...
Groundwater is an important source of drinking water in London and elsewhere, but the legacy of the UK's industrial revolution includes contamination at an extreme and increasingly widely-realised scale.
Drawing on research in the English Midlands, the lecture will explore how mining, metal-based manufacturing, and the oil industry have produced an environmental conundrum that is very complex to solve. How can sites that are part of our industrial heritage be prevented from polluting rivers, and poisoning local residents? Who is responsible, and how can the 'clean-up' be tackled?
56:46 Britain’s Damaged Rivers
Extensive overview of Britain’s rivers and the reasons for their destruction http://www.gresham.ac.uk/lectures-and...
From the nineteenth century onwards, growth in the UK's towns and cities damaged rivers environments. In addition to shifting patterns of erosion and deposition, and pollution, engineers created straight, concrete-lined watercourses, largely devoid of life and visual interest. The scale of change, and the impacts on the water environment, began to be understood only in the 1970s, since when specialists have attempted to manage rivers in ways that maintain channel and floodplain biodiversity.
Local communities have been vital in supporting those few areas, including a couple in London, where genuine improvements have been secured. Can we restore our rivers, and how might application of the science of geomorphology maximise the chances of success?
1:01:38 Development, Developers and the Water Environment
An overview of the impact of development and developers on the water environment by Professor Carolyn Roberts http://www.gresham.ac.uk/lectures-and...
Would you want a quarry near your house? Driven by EU law, environmental impact assessment is now a requirement for developers planning mineral extraction, waste disposal sites and major housing schemes. Initially, the emphasis lay on the prevention of environmental damage, but very rapidly this shifted into the language of 'sustainability', and what might be gained from development.
In theory, beautiful and inspirational new landscapes can be created, that encourage outdoor recreation and biodiversity. But there is still some reluctance from industry, and local residents inevitably oppose development.
source: GreshamCollege 2015年10月30日
The transcript and downloadable versions of the lectures are available from the Gresham College website: http://www.gresham.ac.uk/lectures-and...
Website: http://www.gresham.ac.uk
Twitter: http://twitter.com/GreshamCollege
Facebook: https://www.facebook.com/greshamcollege
Instagram: http://www.instagram.com/greshamcollege
1:03:14 A Body in the River
Professor Roberts describes her work with UK police forces: http://www.gresham.ac.uk/lectures-and...
The bodies of murder victims, whole or in pieces, often end up in rivers or canals. Carolyn Roberts' work as an Expert Witness with UK police forces has applied the principles of hydrology to murder investigations.
In these tragic and gruesome settings, environmental science can help to identify where bodies have come from or gone to. Drawing on macabre and fascinating case studies, the lecture will range from particular cases to general principles of tracing bodies, and the application of science in supporting the law.
Probably not for those of a nervous disposition, but of guaranteed interest to the curious.
1:07:07 The Next Big UK Flood: Britain Under Water
Serious flooding and the water security of the nation’s water are Professor Roberts’ topics in this lecture: http://www.gresham.ac.uk/lectures-and...
What are the odds that events will conspire to put London under water during the next few years? Are the catastrophic Summer 2007 floods in the English Midlands and the recent events of southeast England harbingers of worse to come, particularly as the climate shifts?
Serious flooding poses major challenges to the UK's security, despite changes in the way we try to manage both water and damage.
The lecture will review the UK's recent experiences and explore how management and infrastructural improvements are being attempted. Can science, technology and collaboration reduce our vulnerability to floods?
55:22 The Creeping Paralysis of Drought
Drought threatens the globe and water security becomes a top priority for nations. Professor Roberts explains: http://www.gresham.ac.uk/lectures-and...
Water shortage is an increasingly common challenge to development in southern England, as water is progressively diverted away from supporting ecosystems, and into agri-business, industry and homes. Climate change and population growth appear to be drawing us closer to the edge of an abyss. Drawing on research in the developed world (particularly in Spain and the UK), the lecture will explore the anatomy of severe droughts, and their consequences.
Can technology innovation offer realistic solutions to this problem, or will the competing interests of many different stakeholders prevent us from agreeing what needs to be done?
58:35 Oil on Troubled Water: The Industrial Legacy and Britain's Groundwater
Britain’s Groundwater is amongst its most precious and most threatened resources. Professor Roberts explains: http://www.gresham.ac.uk/lectures-and...
Groundwater is an important source of drinking water in London and elsewhere, but the legacy of the UK's industrial revolution includes contamination at an extreme and increasingly widely-realised scale.
Drawing on research in the English Midlands, the lecture will explore how mining, metal-based manufacturing, and the oil industry have produced an environmental conundrum that is very complex to solve. How can sites that are part of our industrial heritage be prevented from polluting rivers, and poisoning local residents? Who is responsible, and how can the 'clean-up' be tackled?
56:46 Britain’s Damaged Rivers
Extensive overview of Britain’s rivers and the reasons for their destruction http://www.gresham.ac.uk/lectures-and...
From the nineteenth century onwards, growth in the UK's towns and cities damaged rivers environments. In addition to shifting patterns of erosion and deposition, and pollution, engineers created straight, concrete-lined watercourses, largely devoid of life and visual interest. The scale of change, and the impacts on the water environment, began to be understood only in the 1970s, since when specialists have attempted to manage rivers in ways that maintain channel and floodplain biodiversity.
Local communities have been vital in supporting those few areas, including a couple in London, where genuine improvements have been secured. Can we restore our rivers, and how might application of the science of geomorphology maximise the chances of success?
1:01:38 Development, Developers and the Water Environment
An overview of the impact of development and developers on the water environment by Professor Carolyn Roberts http://www.gresham.ac.uk/lectures-and...
Would you want a quarry near your house? Driven by EU law, environmental impact assessment is now a requirement for developers planning mineral extraction, waste disposal sites and major housing schemes. Initially, the emphasis lay on the prevention of environmental damage, but very rapidly this shifted into the language of 'sustainability', and what might be gained from development.
In theory, beautiful and inspirational new landscapes can be created, that encourage outdoor recreation and biodiversity. But there is still some reluctance from industry, and local residents inevitably oppose development.
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