Counting and Configurations: Problems in Combinatorics, Arithmetic, and Geometry / Edition 1

Hardcover (Print)
Buy New
Buy New from BN.com
$95.20
Buy Used
Buy Used from BN.com
$71.40
(Save 40%)
Item is in good condition but packaging may have signs of shelf wear/aging or torn packaging.
Condition: Used – Good details
Used and New from Other Sellers
Used and New from Other Sellers
from $57.90
Usually ships in 1-2 business days
(Save 51%)
Other sellers (Hardcover)
  • All (9) from $57.90   
  • New (2) from $79.70   
  • Used (7) from $57.90   

Overview

This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. In each topic, brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty, and by exercises that range from routine to rather challenging. While this book emphasizes some methods that are not usually covered in beginning university courses, it nevertheless teaches techniques and skills that are useful not only in the specific topics covered here. There are approximately 310 examples and 650 exercises.

Jirí Herman is the headmaster of a prestigious secondary school (Gymnazium) in Brno, Radan Kucera is Associate Professor of Mathematics at Masaryk University in Brno, and Jaromír Simsa is a researcher at the Mathematical Institute of the Academy of Sciences of the Czech Republic. The translator, Karl Dilcher, is Professor of Mathematics at Dalhousie University in Canada. This book can be seen as a continuation of the previous book by the same authors and also translated by Karl Dilcher, Equations and Inequalities: Elementary Problems and Theorems in Algebra and Number Theory (Springer-Verlag 2000).

Read More Show Less

Editorial Reviews

From the Publisher
From the reviews:

THE BULLETIN OF MATHEMATICS BOOKS

"In each topic, brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty, and by exercises that range form routine to rather challenging. While this book emphasizes some methods that are not usually covered in beginning university courses, it nevertheless teaches techniques and skills that are useful not only in the specific topics covered here."

"This excellent book presents a wide range of combinatorial problems of all degrees of difficulties. The authors show how to approach the solution of such problems … . A large number of (solved) exercises give the reader the opportunity to check his advances." (Hansueli Hösli, Zentralblatt MATH, Vol. 1055, 2005)

"This is a book about solving problems in combinatorics … . It covers a wide range of enumeration results … . All concepts and methods are introduced in problems followed by detailed solutions. … Besides the problems in the main text, there are hundreds of nice exercises each of which comes with either a hint or an answer. The index makes it possible to select exercises either according to the objects in the problem statement or the method used in the solution." (T. Eisenkölbl, Monatshefte für Mathematik, Vol. 144 (2), 2005)

"This book is written along the lines of the author’s previous volume … . In each topic there is a brief description of the theory, then carefully chosen worked examples in increasing order of difficulty, and then exercises … . With the outline solutions providing hints if necessary, the reader is thus lead along carefully chosen paths … . All the more welcome, then, is a book like this which attempts to get the reader to think about mathematics … ." (Ian Anderson, The Mathematical Gazette, Vol. 88 (512), 2004)

"This is a translation of the second Czech edition of a book whose title translates as Methods for Solving Mathematical Problems, vol. II. It is a rich compendium of problems (310 worked examples, plus 650 exercises having hints or solutions … . The translation is generally excellent … . This book would be ideal for preparing high school students for competitions … and is an outstanding source of classroom and homework problems for college students taking a course in combinatorics." (S.W. Golomb, Mathematical Reviews, 2003j)

"Most problem books have a limited number of rather challenging problems. While these problems tend to be quite beautiful, they can appear forbidding and discouraging to a beginning student … . After going through the chapters the reader will be convinced that the authors are not making these errors. The chapter headings describe the covered material quite well … . This book is intended as a text for a problem-solving course at the first-or second-year university level … ." (Péter Hajnal, Acta Scientiarum Mathematicarum, Vol. 69, 2003)

Read More Show Less

Product Details

  • ISBN-13: 9780387955520
  • Publisher: Springer New York
  • Publication date: 1/14/2003
  • Series: CMS Books in Mathematics Series
  • Edition description: 2003
  • Edition number: 1
  • Pages: 392
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.94 (d)

Table of Contents

Preface
• Symbols
• Combinatorics
• Combinatorial Arithmetic
• Combinatorial Geometry
• Hints and Answers
• Bibliography
• 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)