A Primer in Combinatorics /

A Primer in Combinatorics / / Alexander Kheyfits.

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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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Superior document:Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
VerfasserIn:
Kheyfits, Alexander,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2010]
©2010
Year of Publication:2010
Language:English
Series:De Gruyter Textbook
Online Access:
Physical Description:1 online resource (323 p.) :; num. fig and tabl.
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245 1 2 |a A Primer in Combinatorics /  |c Alexander Kheyfits. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2010] 
264 4 |c ©2010 
300 |a 1 online resource (323 p.) :  |b num. fig and tabl. 
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490 0 |a De Gruyter Textbook 
505 0 0 |t Frontmatter --   |t Contents --   |t I. Introductory Combinatorics and Graph Theory --   |t Chapter 1. Basic Counting --   |t Chapter 2. Basic Graph Theory --   |t Chapter 3. Hierarchical Clustering and Graphs --   |t II. Combinatorial Analysis --   |t Chapter 4. Enumerative Combinatorics --   |t Chapter 5. Existence Theorems in Combinatorics --   |t Backmatter 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) 
650 0 |a Combinatorial analysis  |v Textbooks. 
650 0 |a Graph theory  |v Textbooks. 
650 4 |a Diskrete Mathematik. 
650 4 |a Graphentheorie. 
650 4 |a Kombinatorik. 
650 7 |a MATHEMATICS / Combinatorics.  |2 bisacsh 
653 |a Combinatorics. 
653 |a Discrete Mathematics. 
653 |a Graph Theory. 
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773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2010  |z 9783110233551 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2010  |z 9783110233636  |o ZDB-23-DMN 
776 0 |c print  |z 9783110226737 
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