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How to count: an introduction to combinatorics and its applications

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Bibliographic Details
Main Author:	Beeler, Robert A. (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham [u.a.] Springer 2015
Subjects:	Mathematics Combinatorics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Kombinatorik
Online Access:	BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource (XV, 361 S.) 61 illus., 2 illus. in color
ISBN:	9783319138442
DOI:	10.1007/978-3-319-13844-2

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MARC


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Record in the Search Index

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adam_text	HOW TO COUNT / BEELER, ROBERT A. : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS PRELIMINARIES BASIC COUNTING THE BINOMIAL COEFFICIENT DISTRIBUTION PROBLEMS GENERATING FUNCTIONS RECURRENCE RELATIONS ADVANCED COUNTING - INCLUSION AND EXCLUSION ADVANCED COUNTING - POLYA THEORY APPLICATION: PROBABILITY APPLICATION: COMBINATORIAL DESIGNS APPLICATION: GRAPH THEORY APPENDICES DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. HOW TO COUNT / BEELER, ROBERT A. : 2015 ABSTRACT / INHALTSTEXT PROVIDING ASELF-CONTAINEDRESOURCE FOR UPPER UNDERGRADUATE COURSESIN COMBINATORICS, THISTEXTEMPHASIZES COMPUTATION, PROBLEM SOLVING, AND PROOF TECHNIQUE. IN PARTICULAR, THE BOOK PLACES SPECIALEMPHASIS THE PRINCIPLE OF INCLUSION AND EXCLUSION AND THE MULTIPLICATION PRINCIPLE. TO THIS END, EXERCISE SETS ARE INCLUDED AT THE END OF EVERY SECTION, RANGING FROM SIMPLE COMPUTATIONS (EVALUATE A FORMULA FOR A GIVEN SET OF VALUES) TO MORE ADVANCED PROOFS. THE EXERCISES ARE DESIGNED TOTEST STUDENTS UNDERSTANDING OF NEW MATERIAL, WHILEREINFORCING A WORKING MASTERY OF THE KEY CONCEPTS PREVIOUSLYDEVELOPED IN THE BOOK. INTUITIVE DESCRIPTIONS FOR MANY ABSTRACT TECHNIQUES ARE INCLUDED. STUDENTS OFTEN STRUGGLE WITH CERTAIN TOPICS, SUCH AS GENERATING FUNCTIONS, AND THIS INTUITIVE APPROACH TO THE PROBLEM IS HELPFUL IN THEIR UNDERSTANDING. WHEN POSSIBLE, THE BOOK INTRODUCESCONCEPTS USINGCOMBINATORIAL METHODS (AS OPPOSED TO INDUCTION OR ALGEBRA) TO PROVE IDENTITIES. STUDENTS ARE ALSO ASKED TO PROVE IDENTITIES USING COMBINATORIAL METHODS AS PART OF THEIR EXERCISES. THESE METHODS HAVE SEVERAL ADVANTAGES OVER INDUCTION OR ALGEBRA DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spelling	Beeler, Robert A. Verfasser aut How to count an introduction to combinatorics and its applications Robert A. Beeler Cham [u.a.] Springer 2015 1 Online-Ressource (XV, 361 S.) 61 illus., 2 illus. in color txt rdacontent c rdamedia cr rdacarrier Mathematics Combinatorics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Kombinatorik (DE-588)4031824-2 gnd rswk-swf Kombinatorik (DE-588)4031824-2 s 1\p DE-604 Erscheint auch als Druckausgabe 978-3-319-13843-5 https://doi.org/10.1007/978-3-319-13844-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916720&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916720&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Beeler, Robert A. How to count an introduction to combinatorics and its applications Mathematics Combinatorics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Kombinatorik (DE-588)4031824-2 gnd
subject_GND	(DE-588)4031824-2
title	How to count an introduction to combinatorics and its applications
title_auth	How to count an introduction to combinatorics and its applications
title_exact_search	How to count an introduction to combinatorics and its applications
title_full	How to count an introduction to combinatorics and its applications Robert A. Beeler
title_fullStr	How to count an introduction to combinatorics and its applications Robert A. Beeler
title_full_unstemmed	How to count an introduction to combinatorics and its applications Robert A. Beeler
title_short	How to count
title_sort	how to count an introduction to combinatorics and its applications
title_sub	an introduction to combinatorics and its applications
topic	Mathematics Combinatorics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Kombinatorik (DE-588)4031824-2 gnd
topic_facet	Mathematics Combinatorics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Kombinatorik
url	https://doi.org/10.1007/978-3-319-13844-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916720&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916720&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT beelerroberta howtocountanintroductiontocombinatoricsanditsapplications

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