BN.com Gift Guide

An Atlas of the Smaller Maps in Orientable and Nonorientable Surfaces

Hardcover (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $52.50
Usually ships in 1-2 business days
(Save 66%)
Other sellers (Hardcover)
  • All (7) from $52.50   
  • New (4) from $81.91   
  • Used (3) from $52.50   
Close
Sort by
Page 1 of 1
Showing All
Note: Marketplace items are not eligible for any BN.com coupons and promotions
$81.91
Seller since 2014

Feedback rating:

(5)

Condition:

New — never opened or used in original packaging.

Like New — packaging may have been opened. A "Like New" item is suitable to give as a gift.

Very Good — may have minor signs of wear on packaging but item works perfectly and has no damage.

Good — item is in good condition but packaging may have signs of shelf wear/aging or torn packaging. All specific defects should be noted in the Comments section associated with each item.

Acceptable — item is in working order but may show signs of wear such as scratches or torn packaging. All specific defects should be noted in the Comments section associated with each item.

Used — An item that has been opened and may show signs of wear. All specific defects should be noted in the Comments section associated with each item.

Refurbished — A used item that has been renewed or updated and verified to be in proper working condition. Not necessarily completed by the original manufacturer.

New
Hardcover New 1584882077 Brand New Book in Perfect Condition. Fast Shipping with tracking number.

Ships from: Houston, TX

Usually ships in 1-2 business days

  • Canadian
  • International
  • Standard, 48 States
  • Standard (AK, HI)
  • Express, 48 States
  • Express (AK, HI)
$128.96
Seller since 2008

Feedback rating:

(4535)

Condition: New
New Book. Shipped from UK within 4 to 14 business days. Established seller since 2000.

Ships from: Horcott Rd, Fairford, United Kingdom

Usually ships in 1-2 business days

  • Standard, 48 States
  • Standard (AK, HI)
$133.49
Seller since 2007

Feedback rating:

(23584)

Condition: New
BRAND NEW

Ships from: Avenel, NJ

Usually ships in 1-2 business days

  • Canadian
  • International
  • Standard, 48 States
  • Standard (AK, HI)
$141.31
Seller since 2009

Feedback rating:

(10664)

Condition: New
New Book. Shipped from US within 10 to 14 business days. Established seller since 2000.

Ships from: Secaucus, NJ

Usually ships in 1-2 business days

  • Standard, 48 States
  • Standard (AK, HI)
Page 1 of 1
Showing All
Close
Sort by

Overview

Maps are beguilingly simple structures with deep and ubiquitous properties. They arise in an essential way in many areas of mathematics and mathematical physics, but require considerable time and computational effort to generate. Few collected drawings are available for reference, and little has been written, in book form, about their enumerative aspects.

An Atlas of the Smaller Maps in Orientable and Nonorientable Surfaces is the first book to provide complete collections of maps along with their vertex and face partitions, number of rootings, and an index number for cross referencing. It provides an explanation of axiomatization and encoding, and serves as an introduction to maps as a combinatorial structure. The Atlas lists the maps first by genus and number of edges, and gives the embeddings of all graphs with at most five edges in orientable surfaces, thus presenting the genus distribution for each graph. Exemplifying the use of the Atlas, the authors explore two substantial conjectures with origins in mathematical physics and geometry: the Quadrangulation Conjecture and the b-Conjecture.

The authors' clear, readable exposition and overview of enumerative theory makes this collection accessible even to professionals who are not specialists. For researchers and students working with maps, the Atlas provides a ready source of data for testing conjectures and exploring the algorithmic and algebraic properties of maps.

Read More Show Less

Product Details

Table of Contents

PREFACE
MAPS
INTRODUCTION
Organization of the Atlas
Further Reading
SURFACES AND MAPS
Representation of Maps and Surfaces
Examples of the Definitions
Using the Atlas
An Application of k-Realizable Partitions
THE AXIOMATIZATION AND THE ENCODING OF MAPS
Orientable Surfaces
Locally Orientable Surfaces
GENERATING SERIES AND CONJECTURES
Generating Series for Hypermaps
Specialization to Maps
The Quadrangulation Conjecture
The b-Conjecture
THE ATLAS
MAPS IN ORIENTABLE SURFACES
Genus 0 - The Sphere
Genus 1 - The Torus
Genus 2 - The Double Torus
MAPS IN NONORIENTABLE SURFACES
Genus 1 - The Projective Plane
Genus 2 - The Klein Bottle
Genus 3 - The Crosscapped Torus
Genus 4 - The Doubly Crosscapped Torus
FACE REGULAR MAPS AND HYPERMAPS
Triangulations
Quadrangulations
Hypermaps
ASSOCIATED GRAPHS AND THEIR MAPS
TABLES
NUMBERS OF ROOTED MAPS
Orientable: by Vertex and Face Partition
Nonorientable: by Vertex and Face Partition
Summarized by Edges and Vertices
NUMBERS OF UNROOTED MAPS
Orientable: by Vertex and Face Partition
Nonorientable: by Vertex and Face Partition
NONREALIZABLE PAIRS OF PARTITIONS
For Orientable Surfaces
For Nonorientable Surfaces
MAP POLYNOMIALS
b-Polynomials
Genus Distributions
BIBLIOGRAPHY
GLOSSARY
INDEX

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)