Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive ap...

Journalism in Crisis addresses the concerns of scholars, activists, and journalists committed to Canadian journalism as a democratic institution and as a set of democratic practices. The authors look within Canada and abroad for solutions for balancing the Canadian media ecology.Public policies have been central to the creation and shaping of Canada’s media system and, rather than wait for new technologies or economic models, the contributors offer concrete recommendations...

Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to engage the reader and to teach a real understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. The material covered has applications both to mathematics and to other subjects. The book con...

In 2013, a little known mathematician in his late 50s stunned the mathematical community with a breakthrough on an age-old problem about prime numbers. Since then, there has been further dramatic progress on the problem, thanks to the efforts of a large-scale online collaborative effort of a type that would have been unthinkable in mathematics a couple of decades ago, and the insight and creativity of a young mathematician at the start of his career. Prime numbers have intrigued, inspired ...

It is impossible to imagine modern mathematics without complex numbers. The second edition of Complex Numbers from A to … Z introduces the reader to this fascinating subject that from the time of L. Euler has become one of the most utilized ideas in mathematics.The exposition concentrates on key concepts and then elementary results concerning these numbers. The reader learns how complex numbers can be used to solve algebraic equations and to understand the geometric interp...

Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathematics. The purpose of this book is to present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and étale homotopy, all written from different perspectives by leading experts. Part one of the book contains lecture notes on recent uses of torsors in geometric invariant theory and representation theory, plus an introduction to the étale homotopy ...

This book is about the difficulty of serving in local government. It’s about finding meaning in public service and developing a deep sense of pride in making a difference to the well being of our communities. I wrote this book to provide hope and guidance to my colleagues in administration and their political partners as they work through difficult times and climb over tremendous obstacles. It is a true story that shows what can be achieved when we are prepared to lead, when we instill a sens...

The solution of one of the many mathematical conjecturesThe conjecture of Syracuse (better known as the Collatz conjecture) is one of the many mathematical conjectures still waiting for proof. In this essay this conjecture is addressed by highlighting some of its features. From one of these features takes its cue a process that leads to a theorem that proof the results in a complete and definitive way.With few steps we exit the maze, we reach sea level from high altitudes and...

Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming to prominence via the celebrated Langlands program and Wiles' proof of Fermat's Last Theorem. This two-volume collection arose from the 94th LMS-EPSRC Durham Symposium on 'Automorphic Forms and Galois Representations' in July 2011, the aim of which was to explore recent developments in this area. The expository articles and research papers across the tw...

This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties. More generally, the book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension. The book is an expansion of the Hermann Weyl Lectures delivered by Umberto Zannier at the Institute for Advanced Study in Princeton in May 2010.The book c...

This book provides a lucid exposition of the connections between non-commutative geometry and the famous Riemann Hypothesis, focusing on the theory of one-dimensional varieties over a finite field. The reader will encounter many important aspects of the theory, such as Bombieri's proof of the Riemann Hypothesis for function fields, along with an explanation of the connections with Nevanlinna theory and non-commutative geometry. The connection with non-commutative geometry is given special ...

This book tells the story of how a group of far-sighted, academic researchers came to the aid of an overwhelmed local government. It details the history of the Washington State Census Board, which began in 1943 as part of an emergency measure during a massive wartime in-migration. The narrative also shows the demographic legacy of the Board and, ultimately, provides an unforgettable look into the creation and evolution of applied demography.Inside, readers will discover how Washing...