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The aim of this text is to introduce the beginner to the theory of Riordan arrays. Starting in a simple and constructive manner, the basic structure of these arrays is explained with clear examples, before a more theoretical grounding is provided. Ordinary Riordan arrays and exponential Riordan arrays are examined, with many explicit examples, and their applications to combinatorics and other areas are explored. The production matrix of a Riordan array is shown to play a key role, along with various sequence characterizations. Formal prerequisites are kept to a minimum, in order to provide a gentle introduction to this exciting area, that involves linear algebra, group theory and combinatorics. The reader will be well positioned to further explore Riordan arrays and their applications, and to undertake their own projects. They will join a community of interested mathematicians that now spans all continents, in a growing area of research and application.
The ever-growing applications and richness of approaches to the Riordan group is captured in this comprehensive monograph, authored by those who are among the founders and foremost world experts in this field. The concept of a Riordan array has played a unifying role in enumerative combinatorics over the last three decades. The Riordan arrays and Riordan group is a new growth point in mathematics that is both being influenced by, and continuing its contributions to, other fields such as Lie groups, elliptic curves, orthogonal polynomials, spline functions, networks, sequences and series, Beal conjecture, Riemann hypothesis, to name several. In recent years the Riordan group has made links to quantum field theory and has become a useful tool for computer science and computational chemistry. We can look forward to discovering further applications to unexpected areas of research. Providing a baseline and springboard to further developments and study, this book may also serve as a text for anyone interested in discrete mathematics, including combinatorics, number theory, matrix theory, graph theory, and algebra.
First published in 1999, this volume examines how the question of autonomy has come to be of recent interest in political theory. The author argues that autonomy goes deep into the Western consciousness and is a part of our very mode of being. He suggests that while autonomy is not universal, once tasted it becomes ineradicable. Autonomy runs deeper than is often thought and this book shows that while autonomy is unique to Western consciousness and to democracy, it raises and examines the question as to whether autonomy is either universally necessary or necessary to democracy.
What will you learn from this book? Want to learn the Python language without slogging your way through how-to manuals? With Head First Python, you'll quickly grasp Python's fundamentals by working with built-in data structures and functions. You'll build your very own web app, which--once it's ready for prime time--runs in the cloud. You'll learn how to wrangle data with Python, scrape data from the web, feed data to pandas, and interact with databases. This third edition is a complete learning experience that will help you become a bona fide Python programmer in no time. What's so special about this book? If you've read a Head First book, you know what to expect: a visually rich format designed for the way your brain works. If you haven't, you're in for a treat. With this book, you'll learn Python through a multisensory experience that engages your mind--rather than a text-heavy approach that puts you to sleep.
Containing almost 200 entries from 'accountability' to the 'Westminster model' the Encyclopedia of Democratic Thought explores all the ideas that matter to democracy past, present and future. It is destined to become the first port-of-call for all students, teachers and researchers of political science interested in democratic ideas, democratic practice, and the quality of democratic governance. The Encyclopedia provides extensive coverage of all the key concepts of democratic thought written by a stellar team of distinguished international contributors. The Encyclopedia draws on every tradition of democratic thought, as well as developing new thinking, in order to provide full coverage of the key democratic concepts and engage with their practical implications for the conduct of democratic politics in the world today. In this way, it brings every kind of democratic thinking to bear on the challenges facing contemporary democracies and on the possibilities of the democratic future. The Encyclopedia is global in scope and responds in detail to the democratic revolution of recent decades. Referring both to the established democratic states of Western Europe, North America and Australasia, and to the recent democracies of Latin America, Eastern and Central Europe, Africa and Asia, classical democratic concerns are related to new democracies, and to important changes in the older democracies. Supplemented by full bibliographical information, extensive cross-referencing and suggestions for further reading, the Encyclopedia of Democratic Thought is a unique work of reference combining the expertise of many of the world's leading political scientists, political sociologists and political philosophers. It will be welcomed as an essential resource for both teaching and for independent study, and as a solid starting point both for further research and wider exploration.
Written by the only American director to direct and fight-choreograph all of Shakespeare's plays, this text represents an expert and practical guide to the Bard's oeuvre. From Henry VI through The Tempest, each play is explored in its full theatrical complexity, with particular attention paid to directorial and acting challenges, character quirks and development, and the particularities of Shakespearean language. Directing successes are recounted, but the failures are not shied away from, making this an indispensable text for anyone interested in producing Shakespeare's plays.
First published in 1999, this volume examines how the question of autonomy has come to be of recent interest in political theory. The author argues that autonomy goes deep into the Western consciousness and is a part of our very mode of being. He suggests that while autonomy is not universal, once tasted it becomes ineradicable. Autonomy runs deeper than is often thought and this book shows that while autonomy is unique to Western consciousness and to democracy, it raises and examines the question as to whether autonomy is either universally necessary or necessary to democracy.
Animal rights sounds like a modern idea, but in fact -- for over three millennia -- philosophers, theologians, and political theorists have grappled with the question of our obligations toward animals. This comprehensive and diverse anthology, the only one of its kind, illuminates the complex evolution of moral thought regarding animals and includes writings from ancient Greece to the present. "Animal Rights" reveals the ways in which a variety of thinkers have addressed such issues as our ethical responsibilities for the welfare of animals, whether animals have rights, and what it means to be human. The preface by Andrew Linzey dispels many of the misconceptions about the animal rights movement. In light of the growing interest in animal rights, this volume is an indispensable resource for scholars and activists alike. "Animal Rights" includes writings from Plato, Aristotle, Aquinas, Machiavelli, Hobbes, Locke, Hume, Hegel, Marx, Kant, Bertrand Russell, John Stuart Mill, Nietzsche, John Rawls, Robert Nozick, and Peter Singer.
The ever-growing applications and richness of approaches to the Riordan group is captured in this comprehensive monograph, authored by those who are among the founders and foremost world experts in this field. Â The concept of a Riordan array has played a unifying role in enumerative combinatorics over the last three decades. The Riordan arrays and Riordan group is a new growth point in mathematics that is both being influenced by, and continuing its contributions to, other fields such as Lie groups, elliptic curves, orthogonal polynomials, spline functions, networks, sequences and series, Beal conjecture, Riemann hypothesis, to name several. In recent years the Riordan group has made links to quantum field theory and has become a useful tool for computer science and computational chemistry. We can look forward to discovering further applications to unexpected areas of research. Providing a baseline and springboard to further developments and study, this book may also serve as a text for anyone interested in discrete mathematics, including combinatorics, number theory, matrix theory, graph theory, and algebra.
Animal rights sounds like a modern idea, but in fact -- for over three millennia -- philosophers, theologians, and political theorists have grappled with the question of our obligations toward animals. This comprehensive and diverse anthology, the only one of its kind, illuminates the complex evolution of moral thought regarding animals and includes writings from ancient Greece to the present. "Animal Rights" reveals the ways in which a variety of thinkers have addressed such issues as our ethical responsibilities for the welfare of animals, whether animals have rights, and what it means to be human. The preface by Andrew Linzey dispels many of the misconceptions about the animal rights movement. In light of the growing interest in animal rights, this volume is an indispensable resource for scholars and activists alike. "Animal Rights" includes writings from Plato, Aristotle, Aquinas, Machiavelli, Hobbes, Locke, Hume, Hegel, Marx, Kant, Bertrand Russell, John Stuart Mill, Nietzsche, John Rawls, Robert Nozick, and Peter Singer.
Who wants to be a Billionaire? is the story of James Packer's desperate battle to win his father's love and respect. It's also a tale of billion-dollar bets gone disastrously wrong.But above all it's the portrait of a troubled relationship between a dominant father and dutiful son. In this powerful sequel to his number one bestseller, The Rise and Rise of Kerry Packer, Paul Barry reveals how Kerry derided his son as 'too soft', 'too close to his mother' and 'a loser', and refused to relax his grip on the empire until he came close to death. In response, James has tried to prove himself - in the only way the Packers know -by making more money. Having watched Kerry lose hundreds of millions of dollars in the world's casinos, James chose to bet billions on buying them instead, and almost lost the lot. As the global financial crisis sent stock markets spinning in early 2009, James Packer's fortune shrank by $4 billion and he lost the title of Australia's richest man. He started smoking again, put on weight and shut himself off from friends. A year on, calm has returned and markets have recovered. But will James bounce back? Or was his father right?
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