Bela Bajnok

Additive Combinatorics

A Menu of Research Problems

• Gebundenes Buch

Produktbeschreibung

Additive Combinatorics: A Menu of Research Problems is the first book of its kind in aims and scope: it provides readers with an opportunity to actively explore the relatively new field of additive combinatorics. The author has written it specifically for students of any background and proficiency level, from beginners to advanced researchers.

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Produktdetails

• Verlag: Taylor & Francis Ltd (Sales)
• Seitenzahl: 390
• Erscheinungstermin: 23. April 2018
• Englisch
• Abmessung: 254mm x 178mm x 24mm
• Gewicht: 930g
• ISBN-13: 9780815353010
• ISBN-10: 0815353014
• Artikelnr.: 51795521

Autorenporträt

Béla Bajnok is a Professor of Mathematics at Gettysburg College and an endowed Alumni Chair. He holds a Ph.D. from Ohio State University and has won several teaching awards, including the Creative Teaching Award at Gettysburg College and the Crawford Teaching Award from the Mathematical Association of America.

Inhaltsangabe

Ingredients.Number theory. Divisibility of integers. Congruences.The
Fundamental Theorem of Number Theory. Multiplicative number theory.
Additive number theory. Combinatorics.Basic enumeration principles.Counting
lists, sequences, sets, and multisets.Binomial coefficients and Pascal's
Triangle. Some recurrence relations. The integer lattice and its layers.
Group theory. Finite abelian groups. Group isomorphisms. The Fundamental
Theorem of Finite Abelian Groups. Subgroups and cosets. Subgroups generated
by subsets. Sumsets. Appetizers. Spherical designs. Caps, centroids, and
the game SET. How many elements does it take to span a group? In pursuit of
perfection.The declaration of independence. Sides. Auxiliary functions.
Entrees. Maximum sumset size. Spanning set. Sidon sets. Minimum sumset
size. The critical number. Zero-sum-free sets. Sum-free sets. Pudding.
Proof of Propositions and Theorems