عنوان

Inquiry-based enumerative combinatorics :

شابک

3030183084

شابک

3030183092

شابک

3030183106

شابک

9783030183080

شابک

9783030183097

شابک

9783030183103

شابک اشتباه

3030183076

شابک اشتباه

9783030183073

عنوان اصلي

Inquiry-based enumerative combinatorics :

نام عام مواد

[Book]

ساير اطلاعات عنواني

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

نام نخستين پديدآور

T. Kyle Petersen.

محل نشرو پخش و غیره

Cham :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

[2019]

نام خاص و کميت اثر

1 online resource

عنوان فروست

Undergraduate texts in mathematics

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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.--

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783030183080

شماره استاندارد بين المللي کتاب و موسيقي

9783030183073

شماره استاندارد بين المللي کتاب و موسيقي

9783030183097

شماره استاندارد بين المللي کتاب و موسيقي

9783030183103

موضوع مستند نشده

Combinatorial analysis.

موضوع مستند نشده

Combinatorial analysis.

موضوع مستند نشده

MAT036000

موضوع مستند نشده

PBV

موضوع مستند نشده

PBV

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Petersen, T. Kyle, (Thomas Kyle)

تاريخ عمليات

20200823090206.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y