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ترکیبیات شمارش مبتنی بر پرسش - یک، دو، از چند ... رد شوید ... نود و نه، صد
ترکیبیات شمارش مبتنی بر پرسش - یک، دو، از چند ... رد شوید ... نود و نه، صد

Inquiry-Based Enumerative Combinatorics - One, Two, Skip a Few... Ninety-Nine, One Hundred
نویسنده:
سال انتشار: 2019
تعداد صفحات: 244
زبان فایل: انگلیسی
فرمت فایل: pdf
حجم فایل: 7MB
رمز فایل: www.ketabdownload.com
قیمت: 200,000ريال

افزودن به سبد دانلود

Publisher : Springer

ISBN-10 : 3030183106, 3030183076

ISBN-13 : 978-3030183103, 978-3030183073

ASIN : B07XTF36T3

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.