Why is today's world map filled with uniform states separated by linear boundaries? The answer to this question is central to our understanding of international politics, but the question is at the same time much more complex - and more revealing - than we might first think. This book examines the important but overlooked role played by cartography itself in the development of modern states. Drawing upon evidence from the history of cartography, peace treaties and political practices, the book reveals that early modern mapping dramatically altered key ideas and practices among both rulers and subjects, leading to the implementation of linear boundaries between states and centralized territorial rule within them. In his analysis of early modern innovations in the creation, distribution and use of maps, Branch explains how the relationship between mapping and the development of modern territories shapes our understanding of international politics today.
Why is today's world map filled with uniform states separated by linear boundaries? The answer to this question is central to our understanding of international politics, but the question is at the same time much more complex - and more revealing - than we might first think. This book examines the important but overlooked role played by cartography itself in the development of modern states. Drawing upon evidence from the history of cartography, peace treaties and political practices, the book reveals that early modern mapping dramatically altered key ideas and practices among both rulers and subjects, leading to the implementation of linear boundaries between states and centralized territorial rule within them. In his analysis of early modern innovations in the creation, distribution and use of maps, Branch explains how the relationship between mapping and the development of modern territories shapes our understanding of international politics today.
This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-time dynamical systems with concrete instruction on implementations (and example applications) in the free MATLAB® software MatContM developed by the authors. While self-contained and suitable for independent study, the book is also written with users in mind and is an invaluable reference for practitioners. Part I focuses on theory, providing a systematic presentation of bifurcations of fixed points and cycles of finite-dimensional maps, up to and including cases with two control parameters. Several complementary methods, including Lyapunov exponents, invariant manifolds and homoclinic structures, and parts of chaos theory, are presented. Part II introduces MatContM through step-by-step tutorials on how to use the general numerical methods described in Part I for simple dynamical models defined by one- and two-dimensional maps. Further examples in Part III show how MatContM can be used to analyze
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