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Könyv Inquiry-Based Enumerative Combinatorics T. Kyle Petersen

Inquiry-Based Enumerative Combinatorics

One, Two, Skip a Few... Ninety-Nine, One Hundred

Szerző: T. Kyle Petersen
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Springer Nature Switzerland AG
Elérhetőség: Beszállítói készleten
Küldés 8-11 napon belül
22 676 Ft
This textbook offers the opportunity to create a uniquely engaging combinatorics classroom by embrac...

Információk a könyvről

Szerző
T. Kyle Petersen
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2020
oldal
238
EAN
9783030183103
ISBN
3030183106
Enbook ID
36551228
Kiadó
Springer Nature Switzerland AG
Súly
466
Méretek
155 x 235 x 13

Teljes leírás

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.

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