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Additive combinatorics is a relatively recent term coined to comprehend the developments of the more classical additive number theory, mainly focussed on problems related to the addition of integers. Some classical problems like the Waring problem on the sum of k-th powers or the Goldbach conjecture are genuine examples of the original questions addressed in the area. One of the features of contemporary additive combinatorics is the interplay of a great variety of mathematical techniques, including combinatorics, harmonic analysis, convex geometry, graph theory, probability theory, algebraic geometry or ergodic theory. This book gathers the contributions of many of the leading researchers in the area and is divided into three parts. The two first parts correspond to the material of the main courses delivered, Additive combinatorics and non-unique factorizations, by Alfred Geroldinger, and Sumsets and structure, by Imre Z. Ruzsa. The third part collects the notes of most of the seminars which accompanied the main courses, and which cover a reasonably large part of the methods, techniques and problems of contemporary additive combinatorics.
The book captures the changing image of Muslims in popular Bollywood films through seven decades. Khatun argues that such cinematic representation has always been informed by the country's contemporary political landscape, a largely Hindu-dominant discourse.
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The rise of strong nationalist and religious movements in postcolonial and newly democratic countries alarms many Western observers. In The Saffron Wave, Thomas Hansen turns our attention to recent events in the world's largest democracy, India. Here he analyzes Indian receptivity to the right-wing Hindu nationalist party and its political wing, the Bharatiya Janata Party (BJP), which claims to create a polity based on "ancient" Hindu culture. Rather than interpreting Hindu nationalism as a mainly religious phenomenon, or a strictly political movement, Hansen places the BJP within the context of the larger transformations of democratic governance in India. Hansen demonstrates that democratic...
Wittgenstein said that philosophers should greet each other, not by saying, “Hello,” but rather, “Take your time.” But what is time? Time is money, but this points to an even better answer to this basic question for our modern epoch: time is acceleration. In a cultural system which stresses economic efficiency, the quicker route is always the more prized, if not always the better one. Wittgenstein’s dictum thus constitutes an act of rebellion against the dominant vector of our culture, but as such it threatens to become (quickly) anti-modern. We need an approach to “reading” our information-rich culture which is ...