The Resource Inquiry-Based Enumerative Combinatorics : One, Two, Skip a Few... Ninety-Nine, One Hundred, by T. Kyle Petersen, (electronic resource)

# Inquiry-Based Enumerative Combinatorics : One, Two, Skip a Few... Ninety-Nine, One Hundred, by T. Kyle Petersen, (electronic resource) Resource Information The item Inquiry-Based Enumerative Combinatorics : One, Two, Skip a Few... Ninety-Nine, One Hundred, by T. Kyle Petersen, (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
Inquiry-Based Enumerative Combinatorics : One, Two, Skip a Few... Ninety-Nine, One Hundred
Title
Inquiry-Based Enumerative Combinatorics
Title remainder
One, Two, Skip a Few... Ninety-Nine, One Hundred
Statement of responsibility
by T. Kyle Petersen
Creator
Subject
Language
eng
Summary
This textbook offers the opportunity to create a uniquely engaging combinatorics classroom by embracing Inquiry-Based Learning (IBL) techniques. Readers are provided with a carefully chosen progression of theorems to prove and problems to actively solve. Students will feel a sense of accomplishment as their collective inquiry traces a path from the basics to important generating function techniques. Beginning with an exploration of permutations and combinations that culminates in the Binomial Theorem, the text goes on to guide the study of ordinary and exponential generating functions. These tools underpin the in-depth study of Eulerian, Catalan, and Narayana numbers that follows, and a selection of advanced topics that includes applications to probability and number theory. Throughout, the theory unfolds via over 150 carefully selected problems for students to solve, many of which connect to state-of-the-art research. Inquiry-Based Enumerative Combinatorics is ideal for lower-division undergraduate students majoring in math or computer science, as there are no formal mathematics prerequisites. Because it includes many connections to recent research, students of any level who are interested in combinatorics will also find this a valuable resource.--
Member of
Assigning source
Provided by publisher
Petersen, T. Kyle
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
• Springer eBooks
• Springer eBooks.
Combinatorics
Label
Inquiry-Based Enumerative Combinatorics : One, Two, Skip a Few... Ninety-Nine, One Hundred, by T. Kyle Petersen, (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
0. Introduction to this book -- 1. First Principles -- 2. Permutations -- 3. Combinations -- 4. The Binomial Theorem -- 5. Recurrences -- 6. Generating Functions -- 7. Exponential Generating Functions and Bell Numbers -- 8. Eulerian Numbers -- 9. Catalan and Narayana Numbers -- 10. Refined Enumeration -- 11. Applications to Probability -- 12. Some Partition Theory -- 13. A Bit of Number Theory -- A. Supplementary Exercises
Control code
978-3-030-18308-0
Dimensions
unknown
Edition
1st ed. 2019.
Extent
1 online resource (XI, 238 pages)
File format
multiple file formats
Form of item
• online
• 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
9783030183080
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
• c
Other physical details
104 illustrations, 9 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1109803958
Label
Inquiry-Based Enumerative Combinatorics : One, Two, Skip a Few... Ninety-Nine, One Hundred, by T. Kyle Petersen, (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
0. Introduction to this book -- 1. First Principles -- 2. Permutations -- 3. Combinations -- 4. The Binomial Theorem -- 5. Recurrences -- 6. Generating Functions -- 7. Exponential Generating Functions and Bell Numbers -- 8. Eulerian Numbers -- 9. Catalan and Narayana Numbers -- 10. Refined Enumeration -- 11. Applications to Probability -- 12. Some Partition Theory -- 13. A Bit of Number Theory -- A. Supplementary Exercises
Control code
978-3-030-18308-0
Dimensions
unknown
Edition
1st ed. 2019.
Extent
1 online resource (XI, 238 pages)
File format
multiple file formats
Form of item
• online
• 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
9783030183080
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
• c
Other physical details
104 illustrations, 9 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1109803958