Graham Ellis

An Invitation to Computational Homotopy is an introduction to elementary algebraic topology for those with an interest in computers and computer programming. It expertly illustrates how the basics of the subject can be implemented on a computer through its focus on fully-worked examples designed to develop problem solving techniques. The transition from basic theory to practical computation raises a range of non-trivial algorithmic issues which will appeal to readers already familiar with basic theory and who are interested in developing computational aspects. The book covers a subset of standard introductory material on fundamental groups, covering spaces, homology, cohomology and classifying spaces as well as some less standard material on crossed modules. These topics are covered in a way that hints at potential applications of topology in areas of computer science and engineering outside the usual territory of pure mathematics, and also in a way that demonstrates how computers can be used to perform explicit calculations within the domain of pure algebraic topology itself. The initial chapters include in-depth examples from data mining, biology and digital image analysis, while the later chapters cover a range of computational examples on the cohomology of classifying spaces that are likely beyond the reach of a purely paper-and-pen approach to the subject. An Invitation to Computational Homotopy serves as a self-contained and informal introduction to these topics and their implementation in the sphere of computer science. Written in a dynamic and engaging style, it skilfully showcases a range of useful machine computations, and will serve as an invaluable aid to graduate students working with algebraic topology.

An Invitation to Computational Homotopy

Colin Fong

A Guide to Australian Secondary Sources of Legal Information

Finding the Law

Joey Lott

Lecturer in the Department of Mathematics Graham Ellis

Be your authentic self, without pretense, without conditions, and without pressure Everybody says that, right? And everybody usually responds, "Well, that's easier said than done." So, if you've been struggling to just be your authentic self but aren't sure how to get there, don't despair. There is in fact a way to just do that and it's simpler than you think. Your life doesn't have to be as complicated as you think it is. An American and Englishman walk into a bar... Well, actually, not in this case. But they do indeed have several conversations. Joey Lott (the American) and Graham Ellis (the Brit) discovered each other's previous books on Amazon.com and discovered they had a lot in common. They got together to write this book and discuss ways of simplifying your life. The duo has reached their understanding of the world around them having had some serious struggles. Lott grappled with eating disorders and Lyme disease and Ellis had to deal with Crohn's disease, anxiety and suicidal tendencies. Ultimately, though, they both pulled through and have taken this opportunity to share their stories and reveal how you can overcome pretty much anything when you take the path of least resistance. Even a pop princess can learn to just "be." The pair uses the concept of a mega star pop princess trying to find her authentic self in a world that demands a certain set of behaviors and an audience with specific expectations. Her problems are ours, just on a larger scale and Lott and Ellis reveal the need to find the "off" switch within our own minds and how to block out the external babble. Self-realization or awakening is not some grand event. Wait. It's not? No, it's not. No fireworks, no magic powers, no teleportation abilities. It's the title of this book: "Not All Its Cracked Up To Be." The authors believe the truth of who we are is as mainstream as the latest pop princess. Find out how it works by reading Lott and Ellis's "Not All Its Cracked Up To Be" today.

Graham Ellis

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