An Invitation to Analytic Combinatorics From One to Several Variables

This book uses new mathematical tools to examine broad computability and complexity questions in enumerative combinatorics, with applications to other areas of mathematics, theoretical computer science, and physics. A focus on effective algorithms leads to the development of computer algebra software of use to researchers in these domains.

In the winter of 1978, Professor George P61ya and I jointly taught Stanford University's introductory combinatorics course. This was a great opportunity for me, as I had known of Professor P61ya since having read his classic book, How to Solve It, as a teenager. Working with P6lya, who ·was over ninety years old at the time, was every bit as rewarding as I had hoped it would be. His creativity, intelligence, warmth and generosity of spirit, and wonderful gift for teaching continue to be an inspiration to me. Combinatorics is one of the branches of mathematics that play a crucial role in computer sCience, since digital computers manipulate discrete, finite objects. Combinatorics impinges on computing in two ways.

In the winter of 1978, Professor George P61ya and I jointly taught Stanford University's introductory combinatorics course. This was a great opportunity for me, as I had known of Professor P61ya since having read his classic book, How to Solve It, as a teenager. Working with P6lya, who ·was over ninety years old at the time, was every bit as rewarding as I had hoped it would be. His creativity, intelligence, warmth and generosity of spirit, and wonderful gift for teaching continue to be an inspiration to me. Combinatorics is one of the branches of mathematics that play a crucial role in computer sCience, since digital computers manipulate discrete, finite objects. Combinatorics impinges on computing in two ways.

In the winter of 1978, Professor George P61ya and I jointly taught Stanford University's introductory combinatorics course. This was a great opportunity for me, as I had known of Professor P61ya since having read his classic book, How to Solve It, as a teenager. Working with P6lya, who ·was over ninety years old at the time, was every bit as rewarding as I had hoped it would be. His creativity, intelligence, warmth and generosity of spirit, and wonderful gift for teaching continue to be an inspiration to me. Combinatorics is one of the branches of mathematics that play a crucial role in computer sCience, since digital computers manipulate discrete, finite objects. Combinatorics impinges on computing in two ways.

When first published in 1959, this book was the basis of a two-semester course in complex analysis for upper undergraduate and graduate students. J. S. Mac Nerney was a proponent of the Socratic, or “do-it-yourself” method of learning mathematics, in which students are encouraged to engage in mathematical problem solving, including theorems at every level which are often regarded as “too difficult” for students to prove for themselves. Accordingly, Mac Nerney provides no proofs.

A humanist, ecological, and technological call to actionChange today is happening faster than ever before. We are overwhelmed by new technologies and an excess of information, and we feel that we and what we used to think of as society are being suffocated. Those who drive this change pursue primarily two goals: profit and power. They lure us with clickbait and abuse us as a data pool, reducing our existence to one of human resource and consumer. In doing so they threaten our democracy, our diversity, even our humanity itself.

'Fauréver' or the double intention of Enrico Pieranunzi, in recording this 'jazz' tribute to Gabriel Fauré, to honor the eternal beauty of the works of this great composer while emphasizing the need, in these new modern times, to continue to dream. Over the years Enrico Pieranunzi has developed a relationship of silent complicity with Fauré's music. Every time he played his barcarolles or nocturnals or when he listened to his chamber music he was left breathless. This is why Bonsaï Music, after producing the two previous albums of the trio he formed with André Ceccarelli and Diego Imbert, immediately agreed to record 'Fauréver'. In this new project, Enrico Pieranunzi wanted to honor the upcoming 100th anniversary of the disappearance of Gabriel Fauré.