Reference request: Good introduction to Sphere Packing
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I was hoping someone could recommend a good introduction to the theory of sphere packing. I know that this is a problem that has received some attention lately, due to the solution of this problem in some higher dimensions. I was just wondering how to get into this literature, so I was hoping to find a couple good books or references that provide some intuition as well as the mathematical approaches to the problem.
I am a grad student in statistics, so I have a fair background in applied mathematics including analysis, measure theory, odes, and pdes, etc.
packing-problem
asked Dec 23 '18 at 4:34
krishnabkrishnab
432415
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add a comment |
$begingroup$
I was hoping someone could recommend a good introduction to the theory of sphere packing. I know that this is a problem that has received some attention lately, due to the solution of this problem in some higher dimensions. I was just wondering how to get into this literature, so I was hoping to find a couple good books or references that provide some intuition as well as the mathematical approaches to the problem.
I am a grad student in statistics, so I have a fair background in applied mathematics including analysis, measure theory, odes, and pdes, etc.
packing-problem
asked Dec 23 '18 at 4:34
krishnabkrishnab
432415
$endgroup$
$begingroup$
There's the classic SPLAG. Sphere packings, lattices and groups, by Conway & Sloane. It is heavy on the algebra (due to the several connections as well as the authors preferences), and not an easy read without a solid background in algebra. Perhaps a bit more of a comprehensive reference book?
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– Jyrki Lahtonen
Dec 23 '18 at 6:13
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@JyrkiLahtonen thanks for the info. Yeah, my background in algebra is limited to just Dummit and Foote. Would that be enough, or would this book require much more than that? I can take a look though, thanks for the tip.
$endgroup$
– krishnab
Dec 23 '18 at 6:26
add a comment |
$begingroup$
I was hoping someone could recommend a good introduction to the theory of sphere packing. I know that this is a problem that has received some attention lately, due to the solution of this problem in some higher dimensions. I was just wondering how to get into this literature, so I was hoping to find a couple good books or references that provide some intuition as well as the mathematical approaches to the problem.
I am a grad student in statistics, so I have a fair background in applied mathematics including analysis, measure theory, odes, and pdes, etc.
packing-problem
asked Dec 23 '18 at 4:34
krishnabkrishnab
432415
$endgroup$
I was hoping someone could recommend a good introduction to the theory of sphere packing. I know that this is a problem that has received some attention lately, due to the solution of this problem in some higher dimensions. I was just wondering how to get into this literature, so I was hoping to find a couple good books or references that provide some intuition as well as the mathematical approaches to the problem.
I am a grad student in statistics, so I have a fair background in applied mathematics including analysis, measure theory, odes, and pdes, etc.
packing-problem
packing-problem
asked Dec 23 '18 at 4:34
krishnabkrishnab
432415
asked Dec 23 '18 at 4:34
krishnabkrishnab
432415
asked Dec 23 '18 at 4:34
krishnabkrishnab
432415
asked Dec 23 '18 at 4:34
krishnabkrishnab
432415
asked Dec 23 '18 at 4:34
krishnabkrishnab
432415
432415
$begingroup$
There's the classic SPLAG. Sphere packings, lattices and groups, by Conway & Sloane. It is heavy on the algebra (due to the several connections as well as the authors preferences), and not an easy read without a solid background in algebra. Perhaps a bit more of a comprehensive reference book?
$endgroup$
– Jyrki Lahtonen
Dec 23 '18 at 6:13
$begingroup$
@JyrkiLahtonen thanks for the info. Yeah, my background in algebra is limited to just Dummit and Foote. Would that be enough, or would this book require much more than that? I can take a look though, thanks for the tip.
$endgroup$
– krishnab
Dec 23 '18 at 6:26
add a comment |
$begingroup$
There's the classic SPLAG. Sphere packings, lattices and groups, by Conway & Sloane. It is heavy on the algebra (due to the several connections as well as the authors preferences), and not an easy read without a solid background in algebra. Perhaps a bit more of a comprehensive reference book?
$endgroup$
– Jyrki Lahtonen
Dec 23 '18 at 6:13
$begingroup$
@JyrkiLahtonen thanks for the info. Yeah, my background in algebra is limited to just Dummit and Foote. Would that be enough, or would this book require much more than that? I can take a look though, thanks for the tip.
$endgroup$
– krishnab
Dec 23 '18 at 6:26
$begingroup$
There's the classic SPLAG. Sphere packings, lattices and groups, by Conway & Sloane. It is heavy on the algebra (due to the several connections as well as the authors preferences), and not an easy read without a solid background in algebra. Perhaps a bit more of a comprehensive reference book?
$endgroup$
– Jyrki Lahtonen
Dec 23 '18 at 6:13
$begingroup$
There's the classic SPLAG. Sphere packings, lattices and groups, by Conway & Sloane. It is heavy on the algebra (due to the several connections as well as the authors preferences), and not an easy read without a solid background in algebra. Perhaps a bit more of a comprehensive reference book?
$endgroup$
– Jyrki Lahtonen
Dec 23 '18 at 6:13
$begingroup$
@JyrkiLahtonen thanks for the info. Yeah, my background in algebra is limited to just Dummit and Foote. Would that be enough, or would this book require much more than that? I can take a look though, thanks for the tip.
$endgroup$
– krishnab
Dec 23 '18 at 6:26
$begingroup$
@JyrkiLahtonen thanks for the info. Yeah, my background in algebra is limited to just Dummit and Foote. Would that be enough, or would this book require much more than that? I can take a look though, thanks for the tip.
$endgroup$
– krishnab
Dec 23 '18 at 6:26
add a comment |
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$begingroup$
There's the classic SPLAG. Sphere packings, lattices and groups, by Conway & Sloane. It is heavy on the algebra (due to the several connections as well as the authors preferences), and not an easy read without a solid background in algebra. Perhaps a bit more of a comprehensive reference book?
$endgroup$
– Jyrki Lahtonen
Dec 23 '18 at 6:13
$begingroup$
@JyrkiLahtonen thanks for the info. Yeah, my background in algebra is limited to just Dummit and Foote. Would that be enough, or would this book require much more than that? I can take a look though, thanks for the tip.
$endgroup$
– krishnab
Dec 23 '18 at 6:26