Additive combinatorics: a menu of research problems (Record no. 211957)

000 -LEADER
fixed length control field aam a22 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190509b 2018 ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780815353010
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 511.6
Item number B2A2
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Bajnok, Bela
9 (RLIN) 379865
245 ## - TITLE STATEMENT
Title Additive combinatorics: a menu of research problems
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher, distributor, etc Chapman and Hall/ CRC Press
Date of publication, distribution, etc 2018
Place of publication, distribution, etc Boca Raton
300 ## - PHYSICAL DESCRIPTION
Extent xix, 390p.
Other physical details With index
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Discrete mathematics and its applications
9 (RLIN) 360934
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Table of Contents

I Ingredients.
1 Number theory.
2 Combinatorics.
3 Group theory.

II Appetizers.

III Sides.

IV Entrees.
A Maximum sumset size.
B Spanning set.
C Sidon sets.
D Minimum sumset size.
E The critical number.
F Zero-sum-free sets.
G Sum-free sets.

V Pudding.
520 ## - SUMMARY, ETC.
Summary, etc Additive Combinatorics: A Menu of Research Problems is the first book of its kind to provide readers with an opportunity to actively explore the relatively new field of additive combinatorics. The author has written the book specifically for students of any background and proficiency level, from beginners to advanced researchers. It features an extensive menu of research projects that are challenging and engaging at many different levels. The questions are new and unsolved, incrementally attainable, and designed to be approachable with various methods. The book is divided into five parts which are compared to a meal. The first part is called Ingredients and includes relevant background information about number theory, combinatorics, and group theory. The second part, Appetizers, introduces readers to the book’s main subject through samples. The third part, Sides, covers auxiliary functions that appear throughout different chapters. The book’s main course, so to speak, is Entrees: it thoroughly investigates a large variety of questions in additive combinatorics by discussing what is already known about them and what remains unsolved. These include maximum and minimum sumset size, spanning sets, critical numbers, and so on. The final part is Pudding and features numerous proofs and results, many of which have never been published.
Features:
The first book of its kind to explore the subject
Students of any level can use the book as the basis for research projects
The text moves gradually through five distinct parts, which is suitable both for beginners without prerequisites and for more advanced students
Includes extensive proofs of propositions and theorems
Each of the introductory chapters contains numerous exercises to help readers

https://www.crcpress.com/Additive-Combinatorics-A-Menu-of-Research-Problems/Bajnok/p/book/9780815353010
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Combinatorial analysis
9 (RLIN) 379866
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computer science - Mathematics
9 (RLIN) 379867
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Number theory
9 (RLIN) 379868
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Additive combinatorics
9 (RLIN) 379869
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Permanent location Current location Shelving location Date acquired Source of acquisition Cost, normal purchase price Item location Full call number Barcode Date last seen Cost, replacement price Koha item type
          Non-fiction Vikram Sarabhai Library Vikram Sarabhai Library General Stacks 2019-05-07 6 5285.64 Slot 1357 (0 Floor, East Wing) 511.6 B2A2 199359 2019-05-07 6691.04 Books

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