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Sumset: Additive Combinatorics, Minkowski Addition, Abelian Group, Lagrange's Four- Square Theorem, Additive Number Theory
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 (Buch) |
Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 2 Artikel!
| Lieferstatus: |
i.d.R. innert 7-14 Tagen versandfertig |
| Veröffentlichung: |
März 2026
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| Genre: |
Schulbücher |
| ISBN: |
9786131235214 |
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EAN-Code:
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9786131235214 |
| Verlag: |
Omniscriptum |
| Einband: |
Kartoniert |
| Sprache: |
English
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| Dimensionen: |
H 220 mm / B 150 mm / D 5 mm |
| Gewicht: |
137 gr |
| Seiten: |
80 |
| Bewertung: |
Titel bewerten / Meinung schreiben
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| Inhalt: |
| Please note that the content of this book primarily consists of articles
available from Wikipedia or other free sources online. In additive
combinatorics, the sumset (also called the Minkowski sum) of two subsets
A and B of an abelian group G (written additively) is defined to be the
set of all sums of an element from A with an element from B. That is, A
+ B = {a+b : a in A, b in B}. The n-fold iterated sumset of A is nA = A
+ cdots + A where there are n summands. Many of the questions and
results of additive combinatorics and additive number theory can be
phrased in terms of sumsets. For example, Lagrange's four-square theorem
can be written succinctly in the form 4A = mathbb{N} where A is the set
of square numbers. A subject that has received a fair amount of study is
that of sets with small doubling, where the size of the set A+A is small
(compared to the size of A); see for example Freiman's theorem. |
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