The Resource How to Count : An Introduction to Combinatorics and Its Applications, by Robert A. Beeler, (electronic resource)

# How to Count : An Introduction to Combinatorics and Its Applications, by Robert A. Beeler, (electronic resource) Resource Information The item How to Count : An Introduction to Combinatorics and Its Applications, by Robert A. Beeler, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.

Label
How to Count : An Introduction to Combinatorics and Its Applications
Title
How to Count
Title remainder
An Introduction to Combinatorics and Its Applications
Statement of responsibility
by Robert A. Beeler
Creator
Contributor
Author
Subject
Language
eng
Summary
Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emphasizes computation, problem solving, and proof technique. In particular, the book places special emphasis 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 to test students' understanding of new material, while reinforcing a working mastery of the key concepts previously developed 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 introduces concepts using combinatorial 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
Member of
Beeler, Robert A
Image bit depth
0
Literary form
non fiction
• Mathematics
• Probabilities
• Combinatorics
Label
How to Count : An Introduction to Combinatorics and Its Applications, by Robert A. Beeler, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
• cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
• txt
Content type MARC source
rdacontent.
Contents
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
Control code
978-3-319-13844-2
Dimensions
unknown
Extent
XV, 361 p. 61 illus., 2 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319138442
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
• c
Other control number
10.1007/978-3-319-13844-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)904980450
Label
How to Count : An Introduction to Combinatorics and Its Applications, by Robert A. Beeler, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
• cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
• txt
Content type MARC source
rdacontent.
Contents
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
Control code
978-3-319-13844-2
Dimensions
unknown
Extent
XV, 361 p. 61 illus., 2 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319138442
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
• c
Other control number
10.1007/978-3-319-13844-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)904980450