Del i serien Undergraduate Texts in Mathematics

Inquiry-Based Enumerative Combinatorics

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

Inbunden, Engelska, 2019

AvT. Kyle Petersen

839 kr

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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 Combinatoricsis ideal for lower-division undergraduate students majoring in math or computer science, as there are no formal mathematics prerequisites.

Produktinformation

Utgivningsdatum2019-08-24
Mått155 x 235 x 18 mm
Vikt542 g
FormatInbunden
SpråkEngelska
SerieUndergraduate Texts in Mathematics
Antal sidor238
FörlagSpringer Nature Switzerland AG
ISBN9783030183073

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Diskret matematik inom Naturvetenskap och teknik

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.