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This book is based on lectures presented over many years to second and third year mathematics students in the Mathematics Departments at Bedford College, London, and King's College, London, as part of the BSc. and MSci. program. Its aim is to provide a gentle yet rigorous first course on complex analysis.Metric space aspects of the complex plane are discussed in detail, making this text an excellent introduction to metric space theory. The complex exponential and trigonometric functions are defined from first principles and great care is taken to derive their familiar properties. In particular, the appearance of ã, in this context, is carefully explained.The central results of the subject, ...
Based on lectures given at a one week summer school held at the University of Southampton, July 2003.
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"One of the most significant efforts to result thus far from the improvement in scholarly access [to North Vietnam].... Combining life history interviewing with archival research in Vietnam, Canada, and France, the book focuses on the village sociocultural system's encounter with Western colonialism, capitalism, and socialist revolution." --Journal of Asian Studies
A relation of cruel optimism exists when something you desire is actually an obstacle to your flourishing. Offering bold new ways of conceiving the present, Lauren Berlant describes the cruel optimism that has prevailed since the 1980s, as the social-democratic promise of the postwar period in the United States and Europe has retracted. People have remained attached to unachievable fantasies of the good life—with its promises of upward mobility, job security, political and social equality, and durable intimacy—despite evidence that liberal-capitalist societies can no longer be counted on to provide opportunities for individuals to make their lives “add up to something.” Arguing that ...
This book constitutes the refereed proceedings of the 5th International Conference on Typed Lambda Calculi and Applications, TLCA 2001, held in Krakow, Poland in May 2001. The 28 revised full papers presented were carefully reviewed and selected from 55 submissions. The volume reports research results on all current aspects of typed lambda calculi. Among the topics addressed are type systems, subtypes, coalgebraic methods, pi-calculus, recursive games, various types of lambda calculi, reductions, substitutions, normalization, linear logic, cut-elimination, prelogical relations, and mu calculus.
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These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables. This case historically suggested some major ideas for more general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue's celebrated results are proved in full detail. In later chapters more modern issues on heights of algebraic points are dealt with, and applied to a sharp quantitative treatment of the unit equation. The book also contains several supplements, hinted exercises and an appendix on recent work on heights.