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A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition

The long-anticipated revision of this well-liked textbook offers many new additions. In the twenty-five years since the original version of this book was published, much has happened in dynamical systems. Mandelbrot and Julia sets were barely ten years old when the first edition appeared, and most of the research involving these objects then centered around iterations of quadratic functions. This research has expanded to include all sorts of different types of functions, including higher-degree polynomials, rational maps, exponential and trigonometric functions, and many others. Several new sections in this edition are devoted to these topics.

The area of dynamical systems covered in A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition is quite accessible to students and also offers a wide variety of interesting open questions for students at the undergraduate level to pursue. The only prerequisite for students is a one-year calculus course (no differential equations required); students will easily be exposed to many interesting areas of current research. This course can also serve as a bridge between the low-level, often non-rigorous calculus courses, and the more demanding higher-level mathematics courses.

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About the Author

Robert L. Devaney is currently professor of mathematics at Boston University. He received his PhD from the University of California at Berkeley under the direction of Stephen Smale. He taught at Northwestern University and Tufts University before coming to Boston University in 1980. His main area of research is dynamical systems, primarily complex analytic dynamics, but also including more general ideas about chaotic dynamical systems. Lately, he has become intrigued with the incredibly rich topological aspects of dynamics, including such things as indecomposable continua, Sierpinski curves, and Cantor bouquets.

Terrorism is an extreme form of radicalization. In this ground-breaking and important book, Clark McCauley and Sophia Moskalenko identify and outline twelve mechanisms of political radicalization that can move individuals, groups, and the masses to increased sympathy and support for political violence.
Co-authored by two psychologists both acknowledged in their field as experts in radicalization and consultants to the Department of Homeland Security and other government agencies, Friction draws on wide-ranging case histories to show striking parallels between 1800s anti-czarist terrorism, 1970s anti-war terrorism, and 21st century jihadist terrorism. Altogether, the twelve mechanisms of political radicalization demonstrate how unexceptional people are moved to exceptional violence in the conflict between states and non-state challengers.
In this revised and expanded edition, McCauley and Moskalenko use the twelve mechanisms to analyze recent cases of lone-wolf terrorists and illustrate how individuals can become radicalized to jihadist violence with group influence or organizational support. Additionally, in the context of the Islamic State's worldwide efforts to radicalize moderate Muslims for jihad, they advance a model that differentiates radicalization in opinion from radicalization in action, and suggest different strategies for countering these diverse forms of radicalization. As a result, the authors conclude that the same mechanisms are at work in radicalizing both terrorists and states targeted by terrorists, implying that these conclusions are as relevant for policy-makers and security officers as they are for citizens facing the threat of terror today.

Four of Rousseau's core political works are presented in a new translation; they are accompanied by appendices that help students to explore the origins and influences of Rousseau's work.

Written in response to a book on the origins of morality by his erstwhile friend Paul Rée, the three essays comprising The Genealogy of Morals -- all three advancing the critique of Christian morality set forth in Beyond Good and Evil -- are among Nietzsche's most sustained and cohesive work.
In the first essay -- starting from a linguistic analysis of words such as "good," "bad," and "evil" -- Nietzsche sets up a contrast between what he calls "master" morality and "slave" morality and shows how strength and action have often been replaced by passivity and nihilism. The next essay, looking into the origins of guilt and punishment, shows how the concept of justice was born -- and how internalization of this concept led to the development of what people called "the soul." In the third essay, Nietzsche dissects the meaning of ascetic ideals.
It is not Nietzsche's intention to reject ascetic ideals, "slave" morality, or internalized values out of hand; his main concern is to show that culture and morality, rather than being eternal verities, are human-made. Whether or not you agree with all of his conclusions, his writing is of such clarity and brilliance that you will find reading The Genealogy of Morals nothing short of exhilarating.