東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁 到查詢結果 [ subject:"Combinatorics." ]

切換: 標籤 | MARC模式 | ISBD

Inquiry-based enumerative combinator...

Petersen, T. Kyle.

FindBook

Google Book

Amazon

博客來

Inquiry-based enumerative combinatorics = one, two, skip a Few.. ninety-nine, one hundred /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Inquiry-based enumerative combinatorics/ by T. Kyle Petersen.
其他題名:	one, two, skip a Few.. ninety-nine, one hundred /
作者:	Petersen, T. Kyle.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	xi, 238 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Combinatorial analysis. -
電子資源:	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 combinatoricsone, 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:

523878
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:02760nmm a2200337 a 4500 001 2192326
003 DE-He213
005 20190628045507.0
006 m d
007 cr nn 008maaau
008 200506s2019 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 1920759
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 : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
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 523878
650 1 4 $a Combinatorics. $3 895617
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Undergraduate texts in mathematics. $3 1041596
856 4 0 $u https://doi.org/10.1007/978-3-030-18308-0
950 $a Mathematics and Statistics (Springer-11649)