How would I go about learning Quasi Crystal Mathematics?
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I am trying to find out a path to learn quasicrystal mathematics.
My math knowledge is only pretty basic however I am very much willing to work the way through up even undergrad parts and above if I can learn it through books or online.
What would it take to understand, use and work with quasicrystal mathematics.
geometry crystallography
edited Mar 4 at 6:45
Andrews
1,2691421
asked Dec 25 '18 at 21:38
BMCBMC
1011
$endgroup$
add a comment |
$begingroup$
I am trying to find out a path to learn quasicrystal mathematics.
My math knowledge is only pretty basic however I am very much willing to work the way through up even undergrad parts and above if I can learn it through books or online.
What would it take to understand, use and work with quasicrystal mathematics.
geometry crystallography
edited Mar 4 at 6:45
Andrews
1,2691421
asked Dec 25 '18 at 21:38
BMCBMC
1011
$endgroup$
$begingroup$
Tip: be more specific about your maths background.
$endgroup$
– Viktor Glombik
Dec 25 '18 at 21:56
$begingroup$
Hi, that would be like - highschool level calculus, or engineering mathematics (if that can be considered instead of building up from the highschool level)
$endgroup$
– BMC
Dec 25 '18 at 21:58
$begingroup$
Someone recommended the "Book of Proof" by Richard Hammack and then abstract algebra; the big book by Summit and Foote. Good start? Where would I go from there?
$endgroup$
– BMC
Dec 25 '18 at 22:48
add a comment |
$begingroup$
I am trying to find out a path to learn quasicrystal mathematics.
My math knowledge is only pretty basic however I am very much willing to work the way through up even undergrad parts and above if I can learn it through books or online.
What would it take to understand, use and work with quasicrystal mathematics.
geometry crystallography
edited Mar 4 at 6:45
Andrews
1,2691421
asked Dec 25 '18 at 21:38
BMCBMC
1011
$endgroup$
I am trying to find out a path to learn quasicrystal mathematics.
My math knowledge is only pretty basic however I am very much willing to work the way through up even undergrad parts and above if I can learn it through books or online.
What would it take to understand, use and work with quasicrystal mathematics.
geometry crystallography
geometry crystallography
edited Mar 4 at 6:45
Andrews
1,2691421
asked Dec 25 '18 at 21:38
BMCBMC
1011
edited Mar 4 at 6:45
Andrews
1,2691421
asked Dec 25 '18 at 21:38
BMCBMC
1011
edited Mar 4 at 6:45
Andrews
1,2691421
edited Mar 4 at 6:45
Andrews
1,2691421
edited Mar 4 at 6:45
Andrews
1,2691421
1,2691421
asked Dec 25 '18 at 21:38
BMCBMC
1011
asked Dec 25 '18 at 21:38
BMCBMC
1011
asked Dec 25 '18 at 21:38
BMCBMC
1011
1011
$begingroup$
Tip: be more specific about your maths background.
$endgroup$
– Viktor Glombik
Dec 25 '18 at 21:56
$begingroup$
Hi, that would be like - highschool level calculus, or engineering mathematics (if that can be considered instead of building up from the highschool level)
$endgroup$
– BMC
Dec 25 '18 at 21:58
$begingroup$
Someone recommended the "Book of Proof" by Richard Hammack and then abstract algebra; the big book by Summit and Foote. Good start? Where would I go from there?
$endgroup$
– BMC
Dec 25 '18 at 22:48
add a comment |
$begingroup$
Tip: be more specific about your maths background.
$endgroup$
– Viktor Glombik
Dec 25 '18 at 21:56
$begingroup$
Hi, that would be like - highschool level calculus, or engineering mathematics (if that can be considered instead of building up from the highschool level)
$endgroup$
– BMC
Dec 25 '18 at 21:58
$begingroup$
Someone recommended the "Book of Proof" by Richard Hammack and then abstract algebra; the big book by Summit and Foote. Good start? Where would I go from there?
$endgroup$
– BMC
Dec 25 '18 at 22:48
$begingroup$
Tip: be more specific about your maths background.
$endgroup$
– Viktor Glombik
Dec 25 '18 at 21:56
$begingroup$
Tip: be more specific about your maths background.
$endgroup$
– Viktor Glombik
Dec 25 '18 at 21:56
$begingroup$
Hi, that would be like - highschool level calculus, or engineering mathematics (if that can be considered instead of building up from the highschool level)
$endgroup$
– BMC
Dec 25 '18 at 21:58
$begingroup$
Hi, that would be like - highschool level calculus, or engineering mathematics (if that can be considered instead of building up from the highschool level)
$endgroup$
– BMC
Dec 25 '18 at 21:58
$begingroup$
Someone recommended the "Book of Proof" by Richard Hammack and then abstract algebra; the big book by Summit and Foote. Good start? Where would I go from there?
$endgroup$
– BMC
Dec 25 '18 at 22:48
$begingroup$
Someone recommended the "Book of Proof" by Richard Hammack and then abstract algebra; the big book by Summit and Foote. Good start? Where would I go from there?
$endgroup$
– BMC
Dec 25 '18 at 22:48
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
No-one will ever be puffed up with whatever sort of maths, so that any future question would become a mere execise on that basis only.
I'd advise you to have some basics on classical crystallography, lattice geometry, Voronoi / Wigner-Seitz cells, as well as Fourier transforms. Then turn towards extensions to higher dimensional geometries, cut-and-project formalisms.
There are lots of papers on that topic out there, esp. from the early time of the 1990s, or reviews on that topic since.
It more depends on which direction within the area from the maths of quasi-crystals you're interested in.
answered Dec 25 '18 at 23:07
Dr. Richard KlitzingDr. Richard Klitzing
1,76516
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add a comment |
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1 Answer
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1 Answer
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$begingroup$
No-one will ever be puffed up with whatever sort of maths, so that any future question would become a mere execise on that basis only.
I'd advise you to have some basics on classical crystallography, lattice geometry, Voronoi / Wigner-Seitz cells, as well as Fourier transforms. Then turn towards extensions to higher dimensional geometries, cut-and-project formalisms.
There are lots of papers on that topic out there, esp. from the early time of the 1990s, or reviews on that topic since.
It more depends on which direction within the area from the maths of quasi-crystals you're interested in.
answered Dec 25 '18 at 23:07
Dr. Richard KlitzingDr. Richard Klitzing
1,76516
$endgroup$
add a comment |
$begingroup$
No-one will ever be puffed up with whatever sort of maths, so that any future question would become a mere execise on that basis only.
I'd advise you to have some basics on classical crystallography, lattice geometry, Voronoi / Wigner-Seitz cells, as well as Fourier transforms. Then turn towards extensions to higher dimensional geometries, cut-and-project formalisms.
There are lots of papers on that topic out there, esp. from the early time of the 1990s, or reviews on that topic since.
It more depends on which direction within the area from the maths of quasi-crystals you're interested in.
answered Dec 25 '18 at 23:07
Dr. Richard KlitzingDr. Richard Klitzing
1,76516
$endgroup$
add a comment |
$begingroup$
No-one will ever be puffed up with whatever sort of maths, so that any future question would become a mere execise on that basis only.
I'd advise you to have some basics on classical crystallography, lattice geometry, Voronoi / Wigner-Seitz cells, as well as Fourier transforms. Then turn towards extensions to higher dimensional geometries, cut-and-project formalisms.
There are lots of papers on that topic out there, esp. from the early time of the 1990s, or reviews on that topic since.
It more depends on which direction within the area from the maths of quasi-crystals you're interested in.
answered Dec 25 '18 at 23:07
Dr. Richard KlitzingDr. Richard Klitzing
1,76516
$endgroup$
No-one will ever be puffed up with whatever sort of maths, so that any future question would become a mere execise on that basis only.
I'd advise you to have some basics on classical crystallography, lattice geometry, Voronoi / Wigner-Seitz cells, as well as Fourier transforms. Then turn towards extensions to higher dimensional geometries, cut-and-project formalisms.
There are lots of papers on that topic out there, esp. from the early time of the 1990s, or reviews on that topic since.
It more depends on which direction within the area from the maths of quasi-crystals you're interested in.
answered Dec 25 '18 at 23:07
Dr. Richard KlitzingDr. Richard Klitzing
1,76516
answered Dec 25 '18 at 23:07
Dr. Richard KlitzingDr. Richard Klitzing
1,76516
answered Dec 25 '18 at 23:07
Dr. Richard KlitzingDr. Richard Klitzing
1,76516
answered Dec 25 '18 at 23:07
Dr. Richard KlitzingDr. Richard Klitzing
1,76516
1,76516
add a comment |
add a comment |
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$begingroup$
Tip: be more specific about your maths background.
$endgroup$
– Viktor Glombik
Dec 25 '18 at 21:56
$begingroup$
Hi, that would be like - highschool level calculus, or engineering mathematics (if that can be considered instead of building up from the highschool level)
$endgroup$
– BMC
Dec 25 '18 at 21:58
$begingroup$
Someone recommended the "Book of Proof" by Richard Hammack and then abstract algebra; the big book by Summit and Foote. Good start? Where would I go from there?
$endgroup$
– BMC
Dec 25 '18 at 22:48