عنوان

Inquiry-based enumerative combinatorics :

(Number (ISBN

3030183084

(Number (ISBN

3030183092

(Number (ISBN

3030183106

(Number (ISBN

9783030183080

(Number (ISBN

9783030183097

(Number (ISBN

9783030183103

Erroneous ISBN

3030183076

Erroneous ISBN

9783030183073

Title Proper

Inquiry-based enumerative combinatorics :

General Material Designation

[Book]

Other Title Information

one, two, skip a Few ... ninety-nine, one hundred /

First Statement of Responsibility

T. Kyle Petersen.

Place of Publication, Distribution, etc.

Cham :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

[2019]

Specific Material Designation and Extent of Item

1 online resource

Series Title

Undergraduate texts in mathematics

Text of Note

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.

0

Text of Note

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.--

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030183080

International Standard Book Number

9783030183073

International Standard Book Number

9783030183097

International Standard Book Number

9783030183103

Combinatorial analysis.

Combinatorial analysis.

MAT036000

PBV

PBV

Number

Edition

Class number

Book number

Petersen, T. Kyle, (Thomas Kyle)

Date of Transaction

20200823090206.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y