Skip to content

Booksellers & Trade Customers: Sign up for online bulk buying at trade.atlanticbooks.com for wholesale discounts

Booksellers: Create Account on our B2B Portal for wholesale discounts

Combinatorial Number Theory and Additive Group Theory by Alfred Geroldinger

Combinatorial Number Theory and Additive Group Theory

by Alfred Geroldinger
Save 35% Save 35%
₹2,904.00
₹4,467.00
₹4,467.00
₹4,467.00
(-35%)
₹2,904.00
₹2,904.00

Imported Edition - Ships in 12-14 Days

Free Shipping in India on orders above Rs. 500

Request Bulk Quantity Quote
+91
Book cover type: Paperback
  • ISBN13: 9783764389611
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Birkhauser
  • Publication Date:
  • Pages: 330
  • Original Price: EUR 39.9
  • Language: English
  • Edition: 2009
  • Item Weight: 840 grams
  • BISAC Subject(s): Combinatorics, Number Theory, and Group Theory

From the Back Cover

This book collects the material delivered in the 2008 edition of the DocCourse in Combinatorics and Geometry which was devoted to the topic of additive combinatorics. The first two parts, which form the bulk of the volume, contain the two main advanced courses, Additive Group Theory and Non-Unique Factorizations by Alfred Geroldinger, and Sumsets and Structure by Imre Z. Ruzsa.

The first part centers on the interaction between non-unique factorization theory and additive group theory. The main objective of factorization theory is a systematic treatment of phenomena related to the non-uniqueness of factorizations in monoids and domains. This part introduces basic concepts of factorization theory such as sets of lengths, and outlines the translation of arithmetical questions in Krull monoids into combinatorial questions on zero-sum sequences over the class group. Using methods from additive group theory such as the theorems of Kneser and of Kemperman-Scherk, classical zero-sum constants are studied, including the Davenport constant and the Erdös-Ginzburg-Ziv constant. Finally these results are applied again to the starting arithmetical problems.

The second part is a course on the basics of combinatorial number theory (or additive combinatorics): cardinality inequalities (Plünnecke's graph theoretical method), Freiman's theorem on the structure of sets with a small sumset, inequalities for the Schnirelmann and asymptotic density of sumsets, analogous results for the measure of sumsets of reals, the connection with the Bohr topology.

The third part of the volume collects some of the seminars which accompanied the main courses. It contains contributions by C. Elsholtz, G. Freiman, Y. O. Hamidoune, N. Hegyvari, G. Karolyi, M. Nathanson, J. Solymosi and Y. Stanchescu.

Trusted for over 49 years

Family Owned Company

Secure Payment

All Major Credit Cards/Debit Cards/UPI & More Accepted

New & Authentic Products

India's Largest Distributor

Need Support?

Whatsapp Us

Related Category

mathematics > combinatorics

mathematics > number theory

mathematics > group theory

Bestselling

View All
Atomic Habits (Lead Title) by Clear, James

Atomic Habits (Lead Title)

Clear, James

₹585
₹899
₹899
₹899
(-35%)
₹585
₹585

• Author(s): Clear | James • Publisher: Penguin • Publisher Imprint: Penguin Random House • Subject: General Books

Diary of a Wimpy Kid: Partypooper (Book 20) by Jeff Kinney

Diary of a Wimpy Kid: Partypooper (Book 20)

Jeff Kinney

₹455
₹699
₹699
₹699
(-35%)
₹455
₹455

• Author(s): Jeff Kinney • Publisher: Penguin Random House Children's UK • Publisher Imprint: Penguin Random House Children's UK • BISAC: Comics & Graphic Novels - Humorous

Ikigai by Hector Garcia

Ikigai

Hector Garcia

₹390
₹599
₹599
₹599
(-35%)
₹390
₹390

• Author(s): Hector Garcia • Publisher: Penguin • Publisher Imprint: Penguin Random House • Subject: General Books

The Courage To Be Disliked How To Free Yourself Change Your Life And Achieve Real Happiness Courage To Series by Ichiro Kishimi

The Courage To Be Disliked How To Free Yourself Change Your Life And Achieve Real Happiness Courage To Series

Ichiro Kishimi

₹358
₹550
₹550
₹550
(-35%)
₹358
₹358

• Author(s): Ichiro Kishimi • Publisher: GROVE ATLANTIC • Publisher Imprint: Allen & Unwin • BISAC: Personal Growth - SuccessIchiro Kishimi lives in Kyoto. He writes, lectures and teaches in psychiatric clinics as a certified counsellor and c...

View full details
12 Years: My Messed-up Love Story by Chetan Bhagat

12 Years: My Messed-up Love Story

Chetan Bhagat

₹260
₹399
₹399
₹399
(-35%)
₹260
₹260

• Author(s): Chetan Bhagat • Publisher: HarperCollins Publishers India • Publisher Imprint: HarperCollins Publishers India • BISAC: GeneralFrom India's top-selling writer Chetan Bhagat comes a powerful new love story that will make you laugh, cry...

View full details
The Mountain Is You: Transforming Self-Sabotage Into Self-Mastery

The Mountain Is You: Transforming Self-Sabotage Into Self-Mastery

Brianna Wiest

₹260
₹399
₹399
₹399
(-35%)
₹260
₹260

• Author(s): Brianna Wiest • Publisher: Manjul Publishing • Publisher Imprint: Amaryllis • BISAC: Body Mind And SpiritThis is a book about self-sabotage. Why we do it, when we do it, and how to stop doing it—for good. Coexisting but conflicting n...

View full details
The Art of Spending Money: Simple Choices for a Richer Life by Morgan Housel

The Art of Spending Money: Simple Choices for a Richer Life

Morgan Housel

₹290
₹499
₹499
₹499
(-42%)
₹290
₹290

• Author(s): Morgan Housel • Publisher: Pan Macmillan • Publisher Imprint: Pan Macmillan • BISAC: Finance - Wealth ManagementA third book from the International bestselling author of The Psychology of Money and Same as Ever, lessons on harnessing...

View full details
Mother Mary Comes To Me by Arundhati Roy

Mother Mary Comes To Me

Arundhati Roy

₹585
₹899
₹899
₹899
(-35%)
₹585
₹585

• Author(s): Arundhati Roy• Publisher: PRH INDIA LOCAL PRINT• Publisher Imprint: Penguin Hamish Hamilton• BISAC: Literary FiguresArundhati Roy’s first work of memoir, this is a soaring account, both intimate and inspiring, of how the author became...

View full details
Truth without Apology: A Guide for Those Who Can Stand It by Acharya Prashant

Truth without Apology: A Guide for Those Who Can Stand It

Acharya Prashant

₹260
₹399
₹399
₹399
(-35%)
₹260
₹260

• Author(s): Acharya Prashant • Publisher: HarperCollins Publishers India • Publisher Imprint: HarperCollins Publishers India • BISAC: GeneralIn a world where vagueness is mistaken for depth and obscurity passes for wisdom, Truth without Apology ...

View full details
Grandma's Bag of Stories by Sudha Murthy

Grandma's Bag of Stories

Sudha Murthy

₹179
₹275
₹275
₹275
(-35%)
₹179
₹179

• Author(s): Sudha Murthy • Publisher: India Puffin • Publisher Imprint: India Puffin • BISAC: Short StoriesWho can resist a good story, especially when it's being told by Grandma? From her bag emerges tales of kings and cheats, monkeys and mic...

View full details
Days at the Morisaki Bookshop by Satoshi Yagisawa

Days at the Morisaki Bookshop

Satoshi Yagisawa

₹260
₹399
₹399
₹399
(-35%)
₹260
₹260

• Author(s): Satoshi Yagisawa • Publisher: Bonnier Books Ltd • Publisher Imprint: Bonnier Books Ltd

Deep Work: Rules For Focused Success In A Distracted World by Newport, Cal

Deep Work: Rules For Focused Success In A Distracted World

Newport, Cal

₹260
₹399
₹399
₹399
(-35%)
₹260
₹260

• Author(s): Newport, Cal • Publisher: Little, Brown Book Group • Publisher Imprint: Piatkus

Can We Be Strangers Again?: A National Bestseller by Shrijeet Shandilya

Can We Be Strangers Again?: A National Bestseller

Shrijeet Shandilya

₹195
₹299
₹299
₹299
(-35%)
₹195
₹195

• Author(s): Shrijeet Shandilya • Publisher: Ebury Press • Publisher Imprint: Ebury Press • BISAC: Romance - GeneralIn the electric haze of college life, three friends are bound by laughter, late-night talks and unspoken promises. But when two of...

View full details
The Secret of Secrets: (Robert Langdon Book 6) by Dan Brown

The Secret of Secrets: (Robert Langdon Book 6)

Dan Brown

₹975
₹1,499
₹1,499
₹1,499
(-35%)
₹975
₹975

• Author(s): Dan Brown • Publisher: Transworld Publishers Ltd • Publisher Imprint: Transworld Publishers Ltd • BISAC: Thrillers - EspionageDan Brown is the bestselling author of Digital Fortress, Deception Point, Angels and Demons, The Da Vinci C...

View full details
Magic of the Lost Temple by Sudha Murty

Magic of the Lost Temple

Sudha Murty

₹179
₹275
₹275
₹275
(-35%)
₹179
₹179

• Author(s): Sudha Murty • Publisher: India Puffin • Publisher Imprint: India Puffin • BISAC: Action & Adventure - General

Rich Dad Poor Dad: What the Rich Teach Their Kids about Money That the Poor and Middle Class Do Not!

Rich Dad Poor Dad: What the Rich Teach Their Kids about Money That the Poor and Middle Class Do Not!

₹390
₹599
₹599
₹599
(-35%)
₹390
₹390

• Publisher: Penguin • Publisher Imprint: Penguin Random House • Subject: General Books • BISAC: Personal Finance - GeneralApril of 2022 marks a 25-year milestone for the personal finance classic Rich Dad Poor Dad that still ranks as the #1 Pers...

View full details
World’S Greatest Books For Personal Growth & Wealth (Set Of 4 Books) : Perfect Motivational by Dale Carnegie, Napoleon Hill

World’S Greatest Books For Personal Growth & Wealth (Set Of 4 Books) : Perfect Motivational

Dale Carnegie, Napoleon Hill

₹390
₹599
₹599
₹599
(-35%)
₹390
₹390

• Author(s): Dale Carnegie | Napoleon Hill • Publisher: Fingerprint • Publisher Imprint: Fingerprint • Subject: General Books

The Housemaid: An Addictive Psychological Thriller With Mind-Bending Twists by Freida Mcfadden

The Housemaid: An Addictive Psychological Thriller With Mind-Bending Twists

Freida Mcfadden

₹358
₹550
₹550
₹550
(-35%)
₹358
₹358

• Author(s): Freida Mcfadden • Publisher: Penguin Select Print • Publisher Imprint: Penguin Select Publishing"Multi-Million Copy Bestselling Series •Now Being Made Into a Major Motion Picture Starring Sydney Sweeney and Amanda Seyfried #1 New Yor...

View full details
101 Tales: The Great Panchatantra Collection by Wonder House Books

101 Tales: The Great Panchatantra Collection

Wonder House Books

₹390
₹599
₹599
₹599
(-35%)
₹390
₹390

• Author(s): Wonder House Books • Publisher: Wonder House Books • Publisher Imprint: Wonder House Books • BISAC: Comics & Graphic Novels - Fairy Tales, Folklore, Legends & MTimeless Wisdom, Talking Animals & Life Lessons for Young Min...

View full details
Man's Search For Meaning by Viktor E. Frankl

Man's Search For Meaning

Viktor E. Frankl

₹260
₹399
₹399
₹399
(-35%)
₹260
₹260

• Author(s): Viktor E. Frankl • Publisher: Random House • Publisher Imprint: Random Hou • Subject: Medical, Nursing and Health Sciences

Bacchon KI Doctor's Desi Parenting Book: A Doctor-Mom's Guide to Milk, Myths, Motherhood and More by Madhavi Bharadwaj

Bacchon KI Doctor's Desi Parenting Book: A Doctor-Mom's Guide to Milk, Myths, Motherhood and More

Madhavi Bharadwaj

₹260
₹399
₹399
₹399
(-35%)
₹260
₹260

• Author(s): Madhavi Bharadwaj • Publisher: PRH India • Publisher Imprint: Penguin Ebury Press • BISAC: Parenting - MotherhoodWelcome to the wild, messy, wonderful world of parenting--where the nights are long, the diapers are explosive, and unso...

View full details
The Outsider by Vir Das

The Outsider

Vir Das

₹455
₹699
₹699
₹699
(-35%)
₹455
₹455

• Author(s): Vir Das • Publisher: HarperCollins Publishers India • Publisher Imprint: HarperCollins Publishers India • BISAC: Entertainment & Performing ArtsComedian and actor Vir Das is beloved (by some, tolerated by others, blocked by a few...

View full details
The Very Hungry Caterpillar by Eric Carle

The Very Hungry Caterpillar

Eric Carle

₹293
₹450
₹450
₹450
(-35%)
₹293
₹293

• Author(s): Eric Carle • Publisher: Penguin Books, Limited (UK) • Publisher Imprint: Penguin Books, Limited (UK) • BISAC: Animals - Butterflies, Moths & CaterpillarsEric Carle's The Very Hungry Caterpillar is a perennial favourite with child...

View full details
Too Good to Be True : A smart, funny will-they-won’t-they romance by mostlysane by Prajakta Koli

Too Good to Be True : A smart, funny will-they-won’t-they romance by mostlysane

Prajakta Koli

₹260
₹399
₹399
₹399
(-35%)
₹260
₹260

• Author(s): Prajakta Koli • Publisher: Harper Fiction India • Publisher Imprint: Harper Fiction India • BISAC: Romance - ContemporaryWinner of the Amazon India Popular Choice Debut Book 2025 Award. From one of India's most-loved creators comes s...

View full details
Home
Genres
Account
Chat