Mathematics without Borders - A Presence in Society which Transcends Language (Global Focus on Knowledge)
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Content List
Mathematics through the Ages
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#1 The Forms of Mathematics
In the beginning of this lecture series, we will turn a spotlight on the roles played by mathematics through the ages. We will zero in on the process by which interdisciplinary mathematics has been created, rather offer a history of mathematics per se. Specifically, celestial mechanics will be used as a basis for describing classic mathematics with the focus on differential equations.
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Available
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#2 The Birth of Mathematics
In the beginning of this lecture series, we will turn a spotlight on the roles played by mathematics through the ages. We will zero in on the process by which interdisciplinary mathematics has been created, rather offer a history of mathematics per se. Specifically, celestial mechanics will be used as a basis for describing classic mathematics with the focus on differential equations.
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Mathematics in Life Sciences-Its Modeling Potential
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#3 Mathematics for the Brain
Mathematical modeling research which employs mathematics as the descriptive language plays a key role in our understanding of life phenomena. In these lectures, the lecturer will pay special attention to the topics of the brain and cancer, as he introduces some specific examples of mathematical approaches to life phenomena, including work on nerve equations which was awarded the Nobel Prize for P…
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Available
#4 Mathematics for Cancer
Mathematical modeling research which employs mathematics as the descriptive language plays a key role in our understanding of life phenomena. In these lectures, the lecturer will pay special attention to the topics of the brain and cancer, as he introduces some specific examples of mathematical approaches to life phenomena, including work on nerve equations which was awarded the Nobel Prize for P…
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rom Communication/Codes to the Cutting-edge Modern Mathematics
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#5 Mathematics for More Efficient Communications – Network Encoding
With the increasing use of the Internet, the efficiency and security of network communications have become extremely critical issues. The lecturer will describe mathematical theories of codes pertinent to such network communications, and relate them to cutting-edge topics involving abstract modern mathematics that may be the themes of future candidates for the Fields Medal.
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Available
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#6 Mathematics for the Internet and Ciphers
With the increasing use of the Internet, the efficiency and security of network communications have become extremely critical issues. The lecturer will describe mathematical theories of codes pertinent to such network communications, and relate them to cutting-edge topics involving abstract modern mathematics that may be the themes of future candidates for the Fields Medal.
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Listening
Available
Audio-Only
Listening
#7 Error-correcting Codes and Mathematics
With the increasing use of the Internet, the efficiency and security of network communications have become extremely critical issues. The lecturer will describe mathematical theories of codes pertinent to such network communications, and relate them to cutting-edge topics involving abstract modern mathematics that may be the themes of future candidates for the Fields Medal.
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Mathematics of Networks – Identifying Connections
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#8 Common Structures for Networks
Our society is full of a variety of networks including personal relationships, business relationships, the Internet and food webs. Network structures have long been a subject of research in the fields of mathematics and sociology. However, it has only been during the last dozen years or so that sufficient data has been accumulated, to make possible development of data-based theories and applicati…
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Available
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#9 Mathematical Theory of Inequalities
Our society is full of a variety of networks including personal relationships, business relationships, the Internet and food webs. Network structures have long been a subject of research in the fields of mathematics and sociology. However, it has only been during the last dozen years or so that sufficient data has been accumulated, to make possible development of data-based theories and applicati…
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Available
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#10 Network Transmissions of Infections
Our society is full of a variety of networks including personal relationships, business relationships, the Internet and food webs. Network structures have long been a subject of research in the fields of mathematics and sociology. However, it has only been during the last dozen years or so that sufficient data has been accumulated, to make possible development of data-based theories and applicati…
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Utility of Randomness and a World Where 1+1=0
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#11 Making Use of Randomness without Being Aware of It
You can find randomness in your immediate surroundings, as it is used for coded communications through the Internet, electronic games, stock market forecasts and computer simulations. What is the utility of randomness? What methods have been devised to generate randomness? Have they proved successful? The mathematics which rules a world where 1+1=0 is true can produce precise randomness quite eff…
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Available
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#12 It Is Difficult to Generate Randomness
You can find randomness in your immediate surroundings, as it is used for coded communications through the Internet, electronic games, stock market forecasts and computer simulations. What is the utility of randomness? What methods have been devised to generate randomness? Have they proved successful? The mathematics which rules a world where 1+1=0 is true can produce precise randomness quite eff…
Available
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Listening
Available
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Listening
#13 Generating Randomness in a Mathematical World Where 1+1=0
You can find randomness in your immediate surroundings, as it is used for coded communications through the Internet, electronic games, stock market forecasts and computer simulations. What is the utility of randomness? What methods have been devised to generate randomness? Have they proved successful? The mathematics which rules a world where 1+1=0 is true can produce precise randomness quite eff…
Available
Audio-Only
Listening
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