Shahriar Shahriari (California Pomona College)

An Invitation to Combinatorics

• Gebundenes Buch

Produktbeschreibung

This lively undergraduate combinatorics text covers all essential topics, with few prerequisites. Mini-projects, warm-up problems, and 1200+ exercises encourage active student participation. Students will get a glimpse into current research trends and open problems as well as some of the history and global origins of the subject.

Produktdetails

• Cambridge Mathematical Textbooks
• Verlag: Cambridge University Press
• Seitenzahl: 628
• Erscheinungstermin: 22. Juli 2021
• Englisch
• Abmessung: 247mm x 195mm x 32mm
• Gewicht: 1502g
• ISBN-13: 9781108476546
• ISBN-10: 1108476546
• Artikelnr.: 61395606

Autorenporträt

Shahriar Shahriari is Professor of Mathematics at Pomona College. He has over fifty publications in mathematics including two books: Approximately Calculus (AMS 2006) and Algebra in Action: A Course in Groups, Rings, and Fields (AMS 2017). His book Approximately Calculus was chosen as an American Library Association's Choice Outstanding Academic Title of 2007, and he won the Mathematical Association of America's Carl B. Allendoerfer Award for expository writing in 1998. Shahriari was awarded the Mathematical Association of America's Haimo National Teaching award in 2015, the Southern California-Nevada Section of the Mathematics Association of America's Teaching Award in 2014, and Pomona College's collegewide student-voted Wig Distinguished Teacher award five different times.

Inhaltsangabe

Preface
Introduction
1. Induction and Recurrence Relations
2. The Pigeonhole Principle and Ramsey Theory
3. Counting, Probability, Balls and Boxes
4. Permutations and Combinations
5. Binomial and Multinomial Coefficients
6. Stirling Numbers
7. Integer Partitions
8. The Inclusion-Exclusion Principle
9. Generating Functions
10. Graph Theory
11. Posets, Matchings, and Boolean Lattices
Appendices
Bibliography
Index.