Inquiry-Based Enumerative Combinatorics One, Two, Skip a Few... Ninety-Nine, One Hundred /

• Κύριος συγγραφέας: Petersen, T. Kyle (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Undergraduate Texts in Mathematics,
• Θέματα: Combinatorics.

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...

Πίνακας περιεχομένων:

• 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.