An Invitation to Combinatorics

‘I would certainly accept this ‘invitation.’ The text covers essentially all of the basic combinatorial subjects in a both gentle and intense way. The extensive problems, examples, and ‘projects,’ especially the collaborative projects, exemplify current pedagogical research on effective teaching methods. I would expect it to remain as a reference on many shelves.’ Bruce Rothschild, University of California, Los Angeles‘Shahriari’s voice as an experienced classroom teacher shines through in this brilliantly crafted student-friendly text. Each mini-project provides a guided exploration of an interesting topic in combinatorics. These, together with the plethora of interesting exercises, help the student to build problem-solving muscle and to experience the joy of mathematical discovery.’ Jamie Pommersheim, Reed College‘From well-chosen motivating problems in the introduction to deeper material near the book’s conclusion, Shahriari invites students encountering combinatorics systematically for the first time to think, to build, and to play. His warm writing style and cross-cultural approach to core topics of the field are sure to engage readers from many backgrounds and levels of preparation.’ Joshua Cooper, University of South Carolina‘This book is a mathematically rigorous introductory textbook on combinatorics. It contains an excellent range of problems and exercises that will help students practice and learn the material. It also lists open questions in combinatorics so students can see that the field continues to develop. The really special feature of this book is a lovely collection of mini-projects that let students explore a variety of topics and deepen their understanding.’ David Auckly, Kansas State University‘I highly recommend this text. Among its most interesting, unusual, and valuable features, one finds a long list of collaborative mini-projects for students to work on in groups, together with other problems to work on individually; nice historical asides, including references to the work of non-Western mathematicians; and a very accessible conversational style. It fits well with discovery-style or problem-oriented courses on the subject.’ William Monty McGovern, University of Washington‘One of the major attractions of this textbook is the writing style - it is designed to be very readable, as though the author were having a conversation with the reader. The result is a text which feels engaging - a quality which is sure to be of great benefit to undergraduate students.’ Audie Warren, zbMATH‘Combinatorics is more of an art (and a mindset) than a science; it is best taught at school and as early as possible. But, of course, combinatorics is part of every undergraduate curriculum and Shahriari’s new textbook addresses this need.’ René L. Schilling, The Mathematical Gazette

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.