A Primer in Combinatorics / / Alexander Kheyfits.
This textbook is devoted to Combinatorics and Graph Theory, which are cornerstones of Discrete Mathematics. Every section begins with simple model problems. Following their detailed analysis, the reader is led through the derivation of definitions, concepts and methods for solving typical problems....
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2010] ©2010 |
Year of Publication: | 2010 |
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Kheyfits, Alexander, author. aut http://id.loc.gov/vocabulary/relators/aut A Primer in Combinatorics / Alexander Kheyfits. Berlin ; Boston : De Gruyter, [2010] ©2010 1 online resource (323 p.) : num. fig and tabl. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Textbook Frontmatter -- Contents -- I. Introductory Combinatorics and Graph Theory -- Chapter 1. Basic Counting -- Chapter 2. Basic Graph Theory -- Chapter 3. Hierarchical Clustering and Graphs -- II. Combinatorial Analysis -- Chapter 4. Enumerative Combinatorics -- Chapter 5. Existence Theorems in Combinatorics -- Backmatter restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This textbook is devoted to Combinatorics and Graph Theory, which are cornerstones of Discrete Mathematics. Every section begins with simple model problems. Following their detailed analysis, the reader is led through the derivation of definitions, concepts and methods for solving typical problems. Theorems then are formulated, proved and illustrated by more problems of increasing difficulty. Topics covered include elementary combinatorial constructions, application to probability theory, introduction to graphs and trees with application to hierarchical clustering algorithms, more advanced counting techniques, and existence theorems in combinatorial analysis. The text systematically employs the basic language of set theory. This approach is often useful for solving combinatorial problems, especially problems where one has to identify some objects, and significantly reduces the number of the students’ errors; it is demonstrated in the text on many examples. The textbook is suitable for undergraduate and entry-level graduate students of mathematics and computer science, lecturers in these fields, and anyone studying combinatorial methods and graphical models for solving various problems. The book contains more than 700 problems and can be used as a reading and problem book for an independent study seminar or self-education. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) Combinatorial analysis Textbooks. Graph theory Textbooks. Diskrete Mathematik. Graphentheorie. Kombinatorik. MATHEMATICS / Combinatorics. bisacsh Combinatorics. Discrete Mathematics. Graph Theory. Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2010 9783110233544 ZDB-23-DGG Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2010 9783110233551 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2010 9783110233636 ZDB-23-DMN print 9783110226737 https://doi.org/10.1515/9783110226744 https://www.degruyter.com/isbn/9783110226744 Cover https://www.degruyter.com/document/cover/isbn/9783110226744/original |
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English |
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eBook |
author |
Kheyfits, Alexander, Kheyfits, Alexander, |
spellingShingle |
Kheyfits, Alexander, Kheyfits, Alexander, A Primer in Combinatorics / De Gruyter Textbook Frontmatter -- Contents -- I. Introductory Combinatorics and Graph Theory -- Chapter 1. Basic Counting -- Chapter 2. Basic Graph Theory -- Chapter 3. Hierarchical Clustering and Graphs -- II. Combinatorial Analysis -- Chapter 4. Enumerative Combinatorics -- Chapter 5. Existence Theorems in Combinatorics -- Backmatter |
author_facet |
Kheyfits, Alexander, Kheyfits, Alexander, |
author_variant |
a k ak a k ak |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Kheyfits, Alexander, |
title |
A Primer in Combinatorics / |
title_full |
A Primer in Combinatorics / Alexander Kheyfits. |
title_fullStr |
A Primer in Combinatorics / Alexander Kheyfits. |
title_full_unstemmed |
A Primer in Combinatorics / Alexander Kheyfits. |
title_auth |
A Primer in Combinatorics / |
title_alt |
Frontmatter -- Contents -- I. Introductory Combinatorics and Graph Theory -- Chapter 1. Basic Counting -- Chapter 2. Basic Graph Theory -- Chapter 3. Hierarchical Clustering and Graphs -- II. Combinatorial Analysis -- Chapter 4. Enumerative Combinatorics -- Chapter 5. Existence Theorems in Combinatorics -- Backmatter |
title_new |
A Primer in Combinatorics / |
title_sort |
a primer in combinatorics / |
series |
De Gruyter Textbook |
series2 |
De Gruyter Textbook |
publisher |
De Gruyter, |
publishDate |
2010 |
physical |
1 online resource (323 p.) : num. fig and tabl. |
contents |
Frontmatter -- Contents -- I. Introductory Combinatorics and Graph Theory -- Chapter 1. Basic Counting -- Chapter 2. Basic Graph Theory -- Chapter 3. Hierarchical Clustering and Graphs -- II. Combinatorial Analysis -- Chapter 4. Enumerative Combinatorics -- Chapter 5. Existence Theorems in Combinatorics -- Backmatter |
isbn |
9783110226744 9783110238570 9783110238471 9783110637205 9783110233544 9783110233551 9783110233636 9783110226737 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA164 |
callnumber-sort |
QA 3164 K48 42010 |
genre_facet |
Textbooks. |
url |
https://doi.org/10.1515/9783110226744 https://www.degruyter.com/isbn/9783110226744 https://www.degruyter.com/document/cover/isbn/9783110226744/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
510 - Mathematics |
dewey-full |
510 |
dewey-sort |
3510 |
dewey-raw |
510 |
dewey-search |
510 |
doi_str_mv |
10.1515/9783110226744 |
oclc_num |
763156929 |
work_keys_str_mv |
AT kheyfitsalexander aprimerincombinatorics AT kheyfitsalexander primerincombinatorics |
status_str |
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ids_txt_mv |
(DE-B1597)38421 (OCoLC)763156929 |
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cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2010 Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2010 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2010 |
is_hierarchy_title |
A Primer in Combinatorics / |
container_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
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