Language:
English
繁體中文
Help
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Inquiry-based enumerative combinator...
~
Petersen, T. Kyle.
Inquiry-based enumerative combinatorics = one, two, skip a Few.. ninety-nine, one hundred /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Inquiry-based enumerative combinatorics/ by T. Kyle Petersen.
Reminder of title:
one, two, skip a Few.. ninety-nine, one hundred /
Author:
Petersen, T. Kyle.
Published:
Cham :Springer International Publishing : : 2019.,
Description:
xi, 238 p. :ill., digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Combinatorial analysis. -
Online resource:
https://doi.org/10.1007/978-3-030-18308-0
ISBN:
9783030183080
Inquiry-based enumerative combinatorics = one, two, skip a Few.. ninety-nine, one hundred /
Petersen, T. Kyle.
Inquiry-based enumerative combinatorics
one, two, skip a Few.. ninety-nine, one hundred /[electronic resource] :by T. Kyle Petersen. - Cham :Springer International Publishing :2019. - xi, 238 p. :ill., digital ;24 cm. - Undergraduate texts in mathematics,0172-6056. - Undergraduate texts in mathematics..
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.
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.
ISBN: 9783030183080
Standard No.: 10.1007/978-3-030-18308-0doiSubjects--Topical Terms:
527896
Combinatorial analysis.
LC Class. No.: QA164 / .P48 2019
Dewey Class. No.: 511.6
Inquiry-based enumerative combinatorics = one, two, skip a Few.. ninety-nine, one hundred /
LDR
:02760nam a2200337 a 4500
001
941361
003
DE-He213
005
20190628045507.0
006
m d
007
cr nn 008maaau
008
200417s2019 gw s 0 eng d
020
$a
9783030183080
$q
(electronic bk.)
020
$a
9783030183073
$q
(paper)
024
7
$a
10.1007/978-3-030-18308-0
$2
doi
035
$a
978-3-030-18308-0
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA164
$b
.P48 2019
072
7
$a
PBV
$2
bicssc
072
7
$a
MAT036000
$2
bisacsh
072
7
$a
PBV
$2
thema
082
0 4
$a
511.6
$2
23
090
$a
QA164
$b
.P484 2019
100
1
$a
Petersen, T. Kyle.
$3
1069782
245
1 0
$a
Inquiry-based enumerative combinatorics
$h
[electronic resource] :
$b
one, two, skip a Few.. ninety-nine, one hundred /
$c
by T. Kyle Petersen.
260
$a
Cham :
$c
2019.
$b
Springer International Publishing :
$b
Imprint: Springer,
300
$a
xi, 238 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Undergraduate texts in mathematics,
$x
0172-6056
505
0
$a
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.
520
$a
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.
650
0
$a
Combinatorial analysis.
$3
527896
650
1 4
$a
Combinatorics.
$3
669353
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer eBooks
830
0
$a
Undergraduate texts in mathematics.
$3
881276
856
4 0
$u
https://doi.org/10.1007/978-3-030-18308-0
950
$a
Mathematics and Statistics (Springer-11649)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login