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Offline Collection Thomas Michel (Frankfurt a. M.) German 1989

Eipomek 1986

The Eipomek valley (West Irian, Indonesia) was hit by a heavy earthquake in 1986. Ten years later the life of the Eipos is affected by its consequences and the following missionary work. The Eipo culture basically changed (housing scheme, religion, body decoration and clothes) and partially preserved (house building, field work). The acculturation of the Eipos becomes visible. See also film E 2718.
  • Published: 1989
  • Publisher: Thomas Michel (Frankfurt a. M.)
  • Language: German
13:59 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 15 Part 01/03

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
25:37 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 14 Part 02/02

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
34:31 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 13 Part 01/02

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
31:04 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 12 Part 02/02

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
27:56 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 01 Part 01/02

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
20:12 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 01 Part 02/02

  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
20:15 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 02 Part 03/03

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
37:41 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 12 Part 01/02

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
36:17 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 14 Part 01/02

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
29:57 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 15 Part 02/03

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
08:26 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 15 Part 03/03

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
1:50:08 African Institute for Mathematical Sciences (South Africa) English 2013

Lecture 2/12 - Physical Problem Solving

This video forms part of a Mathematics course on Physical Problem Solving by Prof Fritz Hahne In this course students, with and without a firm physics background alike, will discuss some central concepts in classical and modern physics. They will use these in some important applications. During this course the emphasis will be on the important role of conserved quantities. Energy has been selected as the main topic and the students will be required to link it to the needs of Africa and its best options, in particular in regard to renewable energy. The limits of the efficiency to which energy can be used will be a recurring theme. The students will be divided into small groups which will each pick a specific aspect of an overall project. They are required to study this and to report orally and in writing on their findings. The lecture will provide background lectures on topics from classical and quantum mechanics, as well as some elements of thermodynamics and fluid dynamics. All of these will be required for the overall class project which is to devise an energy plan for Africa. www.aims.ac.za
  • Published: 2013
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
1:26:21 African Institute for Mathematical Sciences (South Africa) English 2013

Lecture 12/12 - Physical Problem Solving

This video forms part of a Mathematics course on Physical Problem Solving by Prof Fritz Hahne In this course students, with and without a firm physics background alike, will discuss some central concepts in classical and modern physics. They will use these in some important applications. During this course the emphasis will be on the important role of conserved quantities. Energy has been selected as the main topic and the students will be required to link it to the needs of Africa and its best options, in particular in regard to renewable energy. The limits of the efficiency to which energy can be used will be a recurring theme. The students will be divided into small groups which will each pick a specific aspect of an overall project. They are required to study this and to report orally and in writing on their findings. The lecture will provide background lectures on topics from classical and quantum mechanics, as well as some elements of thermodynamics and fluid dynamics. All of these will be required for the overall class project which is to devise an energy plan for Africa. www.aims.ac.za
  • Published: 2013
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
1:23:37 African Institute for Mathematical Sciences (South Africa) English 2013

Lecture 1/12 - Physical Problem Solving

This video forms part of a Mathematics course on Physical Problem Solving by Prof Fritz Hahne In this course students, with and without a firm physics background alike, will discuss some central concepts in classical and modern physics. They will use these in some important applications. During this course the emphasis will be on the important role of conserved quantities. Energy has been selected as the main topic and the students will be required to link it to the needs of Africa and its best options, in particular in regard to renewable energy. The limits of the efficiency to which energy can be used will be a recurring theme. The students will be divided into small groups which will each pick a specific aspect of an overall project. They are required to study this and to report orally and in writing on their findings. The lecture will provide background lectures on topics from classical and quantum mechanics, as well as some elements of thermodynamics and fluid dynamics. All of these will be required for the overall class project which is to devise an energy plan for Africa. www.aims.ac.za
  • Published: 2013
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
1:01:16 African Institute for Mathematical Sciences (South Africa) English 2013

Lecture 4/12 - Physical Problem Solving

This video forms part of a Mathematics course on Physical Problem Solving by Prof Fritz Hahne In this course students, with and without a firm physics background alike, will discuss some central concepts in classical and modern physics. They will use these in some important applications. During this course the emphasis will be on the important role of conserved quantities. Energy has been selected as the main topic and the students will be required to link it to the needs of Africa and its best options, in particular in regard to renewable energy. The limits of the efficiency to which energy can be used will be a recurring theme. The students will be divided into small groups which will each pick a specific aspect of an overall project. They are required to study this and to report orally and in writing on their findings. The lecture will provide background lectures on topics from classical and quantum mechanics, as well as some elements of thermodynamics and fluid dynamics. All of these will be required for the overall class project which is to devise an energy plan for Africa. www.aims.ac.za
  • Published: 2013
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
1:46:40 African Institute for Mathematical Sciences (South Africa) English 2013

Lecture 3/12 - Physical Problem Solving

This video forms part of a Mathematics course on Physical Problem Solving by Prof Fritz Hahne In this course students, with and without a firm physics background alike, will discuss some central concepts in classical and modern physics. They will use these in some important applications. During this course the emphasis will be on the important role of conserved quantities. Energy has been selected as the main topic and the students will be required to link it to the needs of Africa and its best options, in particular in regard to renewable energy. The limits of the efficiency to which energy can be used will be a recurring theme. The students will be divided into small groups which will each pick a specific aspect of an overall project. They are required to study this and to report orally and in writing on their findings. The lecture will provide background lectures on topics from classical and quantum mechanics, as well as some elements of thermodynamics and fluid dynamics. All of these will be required for the overall class project which is to devise an energy plan for Africa. www.aims.ac.za
  • Published: 2013
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
1:05:40 African Institute for Mathematical Sciences (South Africa) English 2013

Lecture 11/12 - Physical Problem Solving

This video forms part of a Mathematics course on Physical Problem Solving by Prof Fritz Hahne In this course students, with and without a firm physics background alike, will discuss some central concepts in classical and modern physics. They will use these in some important applications. During this course the emphasis will be on the important role of conserved quantities. Energy has been selected as the main topic and the students will be required to link it to the needs of Africa and its best options, in particular in regard to renewable energy. The limits of the efficiency to which energy can be used will be a recurring theme. The students will be divided into small groups which will each pick a specific aspect of an overall project. They are required to study this and to report orally and in writing on their findings. The lecture will provide background lectures on topics from classical and quantum mechanics, as well as some elements of thermodynamics and fluid dynamics. All of these will be required for the overall class project which is to devise an energy plan for Africa.
  • Published: 2013
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
32:19 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture04 Part 02/02

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
30:56 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 04 Part 01/02

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
36:09 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 05 Part 01/02

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
34:26 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 05 Part 02/02

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
25:42 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 09 Part 01/03

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
35:51 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 11 Part 03/03

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
30:31 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 10 Part 01/02

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
32:26 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 10 Part 02/02

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
36:00 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 11 Part 02/03

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
29:29 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 11 Part 01/03

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
24:48 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 09 Part 03/03

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
21:22 African Institute for Mathematical Sciences (South Africa) English 2014

Topology & Geometry - Lecture 09 Part 02/03

This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today's mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by deformation. I hope that the course will train you to THINK IN PICTURES. Note: Some of you may have studied point-set topology (metric and topological spaces, continuous maps, compactness, etc.). The content of this course is different: it is usually called algebraic and differential topology. This course is designed so that familiarity with point-set topology is unnecessary.
  • Published: 2014
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
1:20:02 African Institute for Mathematical Sciences (South Africa) English 2013

Lecture 9/12 - Physical Problem Solving

This video forms part of a Mathematics course on Physical Problem Solving by Prof Fritz Hahne In this course students, with and without a firm physics background alike, will discuss some central concepts in classical and modern physics. They will use these in some important applications. During this course the emphasis will be on the important role of conserved quantities. Energy has been selected as the main topic and the students will be required to link it to the needs of Africa and its best options, in particular in regard to renewable energy. The limits of the efficiency to which energy can be used will be a recurring theme. The students will be divided into small groups which will each pick a specific aspect of an overall project. They are required to study this and to report orally and in writing on their findings. The lecture will provide background lectures on topics from classical and quantum mechanics, as well as some elements of thermodynamics and fluid dynamics. All of these will be required for the overall class project which is to devise an energy plan for Africa.
  • Published: 2013
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
1:30:26 African Institute for Mathematical Sciences (South Africa) English 2013

Lecture 10/12 - Physical Problem Solving

This video forms part of a Mathematics course on Physical Problem Solving by Prof Fritz Hahne In this course students, with and without a firm physics background alike, will discuss some central concepts in classical and modern physics. They will use these in some important applications. During this course the emphasis will be on the important role of conserved quantities. Energy has been selected as the main topic and the students will be required to link it to the needs of Africa and its best options, in particular in regard to renewable energy. The limits of the efficiency to which energy can be used will be a recurring theme. The students will be divided into small groups which will each pick a specific aspect of an overall project. They are required to study this and to report orally and in writing on their findings. The lecture will provide background lectures on topics from classical and quantum mechanics, as well as some elements of thermodynamics and fluid dynamics. All of these will be required for the overall class project which is to devise an energy plan for Africa.
  • Published: 2013
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
1:39:21 African Institute for Mathematical Sciences (South Africa) English 2013

Lecture 7/12 - Physical Problem Solving

This video forms part of a Mathematics course on Physical Problem Solving by Prof Fritz Hahne In this course students, with and without a firm physics background alike, will discuss some central concepts in classical and modern physics. They will use these in some important applications. During this course the emphasis will be on the important role of conserved quantities. Energy has been selected as the main topic and the students will be required to link it to the needs of Africa and its best options, in particular in regard to renewable energy. The limits of the efficiency to which energy can be used will be a recurring theme. The students will be divided into small groups which will each pick a specific aspect of an overall project. They are required to study this and to report orally and in writing on their findings. The lecture will provide background lectures on topics from classical and quantum mechanics, as well as some elements of thermodynamics and fluid dynamics. All of these will be required for the overall class project which is to devise an energy plan for Africa.
  • Published: 2013
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
1:10:42 African Institute for Mathematical Sciences (South Africa) English 2013

Lecture 5/12 - Physical Problem Solving

This video forms part of a Mathematics course on Physical Problem Solving by Prof Fritz Hahne In this course students, with and without a firm physics background alike, will discuss some central concepts in classical and modern physics. They will use these in some important applications. During this course the emphasis will be on the important role of conserved quantities. Energy has been selected as the main topic and the students will be required to link it to the needs of Africa and its best options, in particular in regard to renewable energy. The limits of the efficiency to which energy can be used will be a recurring theme. The students will be divided into small groups which will each pick a specific aspect of an overall project. They are required to study this and to report orally and in writing on their findings. The lecture will provide background lectures on topics from classical and quantum mechanics, as well as some elements of thermodynamics and fluid dynamics. All of these will be required for the overall class project which is to devise an energy plan for Africa.
  • Published: 2013
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
1:41:37 African Institute for Mathematical Sciences (South Africa) English 2013

Lecture 6/12 - Physical Problem Solving

This video forms part of a Mathematics course on Physical Problem Solving by Prof Fritz Hahne In this course students, with and without a firm physics background alike, will discuss some central concepts in classical and modern physics. They will use these in some important applications. During this course the emphasis will be on the important role of conserved quantities. Energy has been selected as the main topic and the students will be required to link it to the needs of Africa and its best options, in particular in regard to renewable energy. The limits of the efficiency to which energy can be used will be a recurring theme. The students will be divided into small groups which will each pick a specific aspect of an overall project. They are required to study this and to report orally and in writing on their findings. The lecture will provide background lectures on topics from classical and quantum mechanics, as well as some elements of thermodynamics and fluid dynamics. All of these will be required for the overall class project which is to devise an energy plan for Africa.
  • Published: 2013
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
1:32:32 African Institute for Mathematical Sciences (South Africa) English 2013

Lecture 8/12 - Physical Problem Solving

This video forms part of a Mathematics course on Physical Problem Solving by Prof Fritz Hahne In this course students, with and without a firm physics background alike, will discuss some central concepts in classical and modern physics. They will use these in some important applications. During this course the emphasis will be on the important role of conserved quantities. Energy has been selected as the main topic and the students will be required to link it to the needs of Africa and its best options, in particular in regard to renewable energy. The limits of the efficiency to which energy can be used will be a recurring theme. The students will be divided into small groups which will each pick a specific aspect of an overall project. They are required to study this and to report orally and in writing on their findings. The lecture will provide background lectures on topics from classical and quantum mechanics, as well as some elements of thermodynamics and fluid dynamics. All of these will be required for the overall class project which is to devise an energy plan for Africa.
  • Published: 2013
  • Publisher: African Institute for Mathematical Sciences (South Africa)
  • Language: English
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