Artikel dan Jurnal Matematika
Artikel dan Jurnal Matematika
spesial buat Otim
Topology and L. Euler (School of Mathematics and Statistics, University of St Andrews Scotland):
"The beginning of topology is due to Leonhard Euler (1736)-- the solution of a problem relating to the geometry of position-- present in almost all areas of today's mathematics. Euler was aware that he was dealing with a different type of geometry where distance was not relevant."
(http://www-groups.dcs.st-andrews.ac.uk/~history/HistTopics/Topology_in_mathematics.html)
--------------------------------------------------------------------------------
Prof. E.T. Ruseffendi:
"Pertanyaan-pertanyaan yang dijawab oleh Topologi ialah pertanyaan-pertanyaan 'bilakah', 'mungkinkah', 'pernahkan', 'dimana', 'antara apa', 'di dalam atau di luar'. Dalam Topologi kita tak pernah bertanya 'berapa', 'berapa panjangnya', 'berapa jauhnya', 'berapa besarnya'."
("Dasar-Dasar Matematika Modern dan Komputer Untuk Guru", halaman 313 - Penerbit: TARSITO - Bandung")
--------------------------------------------------------------------------------
Jussi Talsi, University of Helsinki:
"The concept of distance is central in topology.
Topology is a branch of mathematics which could somewhat loosely be called qualitative geometry. One usually thinks of geometry as measuring and computing lengths, areas, volumes, angles etc., and that's actually where the word "geo-metry" comes from."
( http://www.kolumbus.fi/justal/bits/math/topology.htm)
--------------------------------------------------------------------------------
Prof. Silaban (Guru Besar Fisika Teori Departemen Fisika ITB):
"Berbulan-bulan menguantisasi Relativitas Umum supaya akur dengan Medan Kuantum, Silaban, Goldberg, dan Bergmann gagal membidani kelahiran Teori Kuantum Gravitasi."
(http://www.kompas.com/kompas%2Dcetak/0303/08/naper/168039.htm)
--------------------------------------------------------------------------------
Prof. Michio Kaku:
"This why, at present, Witten formulating what are called topological field theories-- that is, theories that are totally independent of the way we measure distances. The hope is that these topological field theories may correspond to string theory beyond the Plank length."
"This new mathematics, which is responsible for merge of these two theories, is topology, and it is responsible for accomplishing the seemingly impossible task of abolishing the infinities of a quantum theory of gravity."
"Hyperspace", p. 326
(http://www.amazon.com/exec/obidos/ASIN/0385477058/qid=1006707920/sr=8-1/ref=sr_8_3_1/102-9253221-2202551 )
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Tujuh Problem Matematika Terbesar:
"Poincare Conjecture adalah masalah bagaimana memahami ruang tiga dimensi. Pertanyaannya, apakah perhitungan untuk ruang dua dimensi juga bisa diterapkan pada ruang tiga dimensi. Henri Poincare mempunyai keyakinan bahwa jawabannya adalah bisa tetapi dia tidak bisa membuktikannya secara matematika."
(http://www.detikinet.com/net/2004/01/12/20040112-155511.shtml)
(http://news.bbc.co.uk/1/hi/sci/tech/3005875.stm)
--------------------------------------------------------------------------------
Adelaide Pingkan Pengemanan - Teliti Perbaikan Teori Fisika di Universitas Houston:
"Salah satu problem yang terkenal di dunia mathematical physics adalah pencarian teori baru matematika."
(http://www.kompas.com/kompas-cetak/0310/24/naper/613157.htm)
--------------------------------------------------------------------------------
Mathematics of DNA - "Lifting the Curtain: Using Topology to Probe the Hidden Action of Enzymes"
The description and quantization of the three-dimensional structure of DNA and the changes in DNA structure due to the action of these enzymes have required the serious use of geometry and topology," Sumners writes. This use of mathematics as an analytical tool is especially important because there is no experimental way to observe the dynamics of enzymatic action directly."
- American Mathematical Society -http://www.ams.org/new-in-math/mathnews/dna.html
--------------------------------------------------------------
"Thus we conclude that even more surprises lurk in the depths of undiscovered knowledge regarding this famous constant, p. We thus look forward to what the future has to bring".
- David Bailey, "The Quest for Pi" -168 KB pi-quest.pdf_file*)
--------------------------------------------------------------
Measuring the Shape of the Universe
What is the shape of the universe? One possible shape the universe might have is analogous to the surface of a doughnut. Mathematicians call this shape a torus, and it is a fundamental object of study in the areas of geometry and topology.
- American Mathematical Society -http://www.ams.org/new-in-math/mathnews/universe.html
--------------------------------------------------------------
How big the Universe is
These patterns, if observed, should be able to tell us how big the Universe is, and something of its shape-- its topology, or 'connectedness'. For example, The Universe could be an analogue of a simple sphere."
- Henry Gee Ph.D.- http://www.nature.com/nsu/981126/981126-4.html
spesial buat Otim
Topology and L. Euler (School of Mathematics and Statistics, University of St Andrews Scotland):
"The beginning of topology is due to Leonhard Euler (1736)-- the solution of a problem relating to the geometry of position-- present in almost all areas of today's mathematics. Euler was aware that he was dealing with a different type of geometry where distance was not relevant."
(http://www-groups.dcs.st-andrews.ac.uk/~history/HistTopics/Topology_in_mathematics.html)
--------------------------------------------------------------------------------
Prof. E.T. Ruseffendi:
"Pertanyaan-pertanyaan yang dijawab oleh Topologi ialah pertanyaan-pertanyaan 'bilakah', 'mungkinkah', 'pernahkan', 'dimana', 'antara apa', 'di dalam atau di luar'. Dalam Topologi kita tak pernah bertanya 'berapa', 'berapa panjangnya', 'berapa jauhnya', 'berapa besarnya'."
("Dasar-Dasar Matematika Modern dan Komputer Untuk Guru", halaman 313 - Penerbit: TARSITO - Bandung")
--------------------------------------------------------------------------------
Jussi Talsi, University of Helsinki:
"The concept of distance is central in topology.
Topology is a branch of mathematics which could somewhat loosely be called qualitative geometry. One usually thinks of geometry as measuring and computing lengths, areas, volumes, angles etc., and that's actually where the word "geo-metry" comes from."
( http://www.kolumbus.fi/justal/bits/math/topology.htm)
--------------------------------------------------------------------------------
Prof. Silaban (Guru Besar Fisika Teori Departemen Fisika ITB):
"Berbulan-bulan menguantisasi Relativitas Umum supaya akur dengan Medan Kuantum, Silaban, Goldberg, dan Bergmann gagal membidani kelahiran Teori Kuantum Gravitasi."
(http://www.kompas.com/kompas%2Dcetak/0303/08/naper/168039.htm)
--------------------------------------------------------------------------------
Prof. Michio Kaku:
"This why, at present, Witten formulating what are called topological field theories-- that is, theories that are totally independent of the way we measure distances. The hope is that these topological field theories may correspond to string theory beyond the Plank length."
"This new mathematics, which is responsible for merge of these two theories, is topology, and it is responsible for accomplishing the seemingly impossible task of abolishing the infinities of a quantum theory of gravity."
"Hyperspace", p. 326
(http://www.amazon.com/exec/obidos/ASIN/0385477058/qid=1006707920/sr=8-1/ref=sr_8_3_1/102-9253221-2202551 )
--------------------------------------------------------------------------------
Tujuh Problem Matematika Terbesar:
"Poincare Conjecture adalah masalah bagaimana memahami ruang tiga dimensi. Pertanyaannya, apakah perhitungan untuk ruang dua dimensi juga bisa diterapkan pada ruang tiga dimensi. Henri Poincare mempunyai keyakinan bahwa jawabannya adalah bisa tetapi dia tidak bisa membuktikannya secara matematika."
(http://www.detikinet.com/net/2004/01/12/20040112-155511.shtml)
(http://news.bbc.co.uk/1/hi/sci/tech/3005875.stm)
--------------------------------------------------------------------------------
Adelaide Pingkan Pengemanan - Teliti Perbaikan Teori Fisika di Universitas Houston:
"Salah satu problem yang terkenal di dunia mathematical physics adalah pencarian teori baru matematika."
(http://www.kompas.com/kompas-cetak/0310/24/naper/613157.htm)
--------------------------------------------------------------------------------
Mathematics of DNA - "Lifting the Curtain: Using Topology to Probe the Hidden Action of Enzymes"
The description and quantization of the three-dimensional structure of DNA and the changes in DNA structure due to the action of these enzymes have required the serious use of geometry and topology," Sumners writes. This use of mathematics as an analytical tool is especially important because there is no experimental way to observe the dynamics of enzymatic action directly."
- American Mathematical Society -http://www.ams.org/new-in-math/mathnews/dna.html
--------------------------------------------------------------
"Thus we conclude that even more surprises lurk in the depths of undiscovered knowledge regarding this famous constant, p. We thus look forward to what the future has to bring".
- David Bailey, "The Quest for Pi" -168 KB pi-quest.pdf_file*)
--------------------------------------------------------------
Measuring the Shape of the Universe
What is the shape of the universe? One possible shape the universe might have is analogous to the surface of a doughnut. Mathematicians call this shape a torus, and it is a fundamental object of study in the areas of geometry and topology.
- American Mathematical Society -http://www.ams.org/new-in-math/mathnews/universe.html
--------------------------------------------------------------
How big the Universe is
These patterns, if observed, should be able to tell us how big the Universe is, and something of its shape-- its topology, or 'connectedness'. For example, The Universe could be an analogue of a simple sphere."
- Henry Gee Ph.D.- http://www.nature.com/nsu/981126/981126-4.html
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