Nathan Carter

Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.

Visual Group Theory

Mathematicians have skills that, if deepened in the right ways, would enable them to use data to answer questions important to them and others, and report those answers in compelling ways. Data science combines parts of mathematics, statistics, computer science. Gaining such power and the ability to teach has reinvigorated the careers of mathematicians. This handbook will assist mathematicians to better understand the opportunities presented by data science. As it applies to the curriculum, research, and career opportunities, data science is a fast-growing field. Contributors from both academics and industry present their views on these opportunities and how to advantage them.

Data Science for Mathematicians

Paul Elliman

Cay Sophie Rabinowitz

The Gale Force, Precision Dirigible, Flying Faction, in Action

This text, by an award-winning [Author];, was designed to accompany his first-year seminar in the mathematics of computer graphics. Readers learn the mathematics behind the computational aspects of space, shape, transformation, color, rendering, animation, and modeling. The software required is freely available on the Internet for Mac, Windows, and Linux. The text answers questions such as these: How do artists build up realistic shapes from geometric primitives? What computations is my computer doing when it generates a realistic image of my 3D scene? What mathematical tools can I use to animate an object through space? Why do movies always look more realistic than video games? Containing the mathematics and computing needed for making their own 3D computer-generated images and animations, the text, and the course it supports, culminates in a project in which students create a short animated movie using free software. Algebra and trigonometry are prerequisites; calculus is not, though it helps. Programming is not required. Includes optional advanced exercises for students with strong backgrounds in math or computer science. Instructors interested in exposing their liberal arts students to the beautiful mathematics behind computer graphics will find a rich resource in this text.

Introduction to the Mathematics of Computer Graphics

Nathan Carter has become Ireland's biggest country music star. He is heralded by many as reviving the country music genre and bringing it into the mainstream. He has sold out venues across the UK and Ireland, has landed his own primetime show, and is loved and respected by legions of fans across Ireland. But how did a lad from Liverpool accomplish all this before the age of 27? In his revealing and inspirational autobiography, Nathan reminisces about his music filled childhood, and growing up in Merseyside with his Liverpool-Irish family. From his first taste of showbiz at the tender age of four, to his success on the north of England club circuit and his subsequent relocation to Donegal, Nathan explores the twists of fate that took him to chart success and to become Ireland's adopted poster boy for country music.

Nathan Carter

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