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Leibniz : What Kind of Rationalist?
The chapters of the book are the result of intense discussion in the course of an international conference focused on the title question of this book, and were selected in view of their contribution to this topic. They are clustered in thematically organized parts. No effort has been made to hide the controversies underlying the different interpretations of Leibniz’s “rationalism” – in each particular domain and as a whole. On the contrary, the editor firmly believes that only through a variety of conflicting interpretive perspectives can the multi-faceted nature of an oeuvre of such a magnitude and variety as Leibniz’s be brought to light and understood as it deserves.
Legitimacy in International Law
In recent years the question of the legitimacy of international law has been discussed quite intensively. Such questions are, for example, whether international law lacks legitimacy in general; whether international law or a part of it has yielded to the facts of power; whether adherence to international legal commitments should be subordinated to self-defined national interests; whether international law or particular rules of it – such as the prohibition of the use of armed force – have lost their ability to induce compliance (compliance pull); and what is the relevance of non-enforcement or failure to obey for the legitimacy of that particular international norm? This book contains fresh perspectives on these questions, offered at an international and interdisciplinary conference hosted by the Max Planck Institute for Comparative Law and International Law.
Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
Presents a coherent exposition of recent results on complete characterization of Kobayashi-hyperbolic manifolds with high-dimensional groups of holomorphic automorphisms. These classification results can be viewed as complex-geometric analogues of those known for Riemannian manifolds with high-dimensional isotropy groups, that were extensively studied in the 1950s-70s. The common feature of the Kobayashi-hyperbolic and Riemannian cases is the properness of the actions of the holomorphic automorphism group and the isometry group on respective manifolds.
Lectures on Symplectic Geometry
Provides a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding.
Lectures on Quantum Mechanics
Presents theoretical physics with a breathtaking array of examples and anecdotes. Basdevant's style is clear and stimulating, in the manner of a brisk classroom lecture that students can follow with ease and enjoyment.
Lectures on Quantum Gravity
A primary goal was to foster interaction and communication between participants from different cultures, both in the layman’s sense of the term and in terms of approaches to quantum gravity. We hope that the links formed by students and the school will persist throughout their professional lives, continuing to promote interaction and the essential exchange of ideas that drives research forward. This volume contains improved and updated versions of the lectures given at the School. It has been prepared both as a reminder for the participants, and so that these pedagogical introductions can be made available to others who were unable to attend. We expect them to serve students of all ages well.
Lectures on Probability Theory and Statistics : Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003
Contains two of the three lectures that were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003). Amir Dembo’s course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for Markov chains, the dimension of discrete limsup random fractals, the multi-scale truncated second moment and the Ciesielski-Taylor identities are explored. Tadahisa Funaki’s course reviews recent developments of the mathematical theory on stochastic interface models, mostly on the so-called nabla varphi interface model. The results are formulated as classical limit theorems in probability theory, and the text serves with good applications of basic probability techniques.
Lectures on Algebraic Geometry I : Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces
This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own.In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them.
Lectures on Advances in Combinatorics
The main focus of these lectures is basis extremal problems and inequalities – two sides of the same coin. Additionally they prepare well for approaches and methods useful and applicable in a broader mathematical context. Highlights of the book include a solution to the famous 4m-conjecture of Erdös/Ko/Rado 1938, one of the oldest problems in combinatorial extremal theory, an answer to a question of Erdös (1962) in combinatorial number theory "What is the maximal cardinality of a set of numbers smaller than n with no k+1 of its members pair wise relatively prime?", and the discovery that the AD-inequality implies more general and sharper number theoretical inequalities than for instance Behrend's inequality.
Lectures in Supercomputational Neurosciences : Dynamics in Complex Brain Networks
The present volume is an introduction, largely from the physicists' perspective, to the subject matter with in-depth contributions by system neuroscientists. A conceptual model for complex networks of neurons is introduced that incorporates many important features of the real brain, such as various types of neurons, various brain areas, inhibitory and excitatory coupling and the plasticity of the network. The computational implementation on supercomputers, which is introduced and discussed in detail in this book, will enable the readers to modify and adapt the algortihm for their own research.
Lectures in Supercomputational Neurosciences : Dynamics in Complex Brain Networks
The present volume is an introduction, largely from the physicists' perspective, to the subject matter with in-depth contributions by system neuroscientists. A conceptual model for complex networks of neurons is introduced that incorporates many important features of the real brain, such as various types of neurons, various brain areas, inhibitory and excitatory coupling and the plasticity of the network. The computational implementation on supercomputers, which is introduced and discussed in detail in this book, will enable the readers to modify and adapt the algortihm for their own research.
Lectures in Astrobiology ; Vol. II
Based on material delivered at several summer schools, this book is the first comprehensive textbook at the graduate level encompassing all aspects associated with the emerging field of astrobiology. Volume II gathers another set of extensive lectures covering topics so diverse as the formation and the distribution of elements in the Universe, the concept of habitability from both the planetologists' and the biologists' point of view and artificial life. The contributions are held together by the common goal to understand better the origin of life, its evolution and possible existence outside the Earth's realm.
Learning, philosophy, and African citizenship
This book discusses and addresses the compelling questions concerning the ideals of citizenship, the processes of learning to fulfill these ideals, and possibilities of education in fostering citizenship. Rather than advocating for one framework, the authors demonstrate the continuously contested nature of the concept of citizenship as theoretically discussed and practically experienced. The monograph combines, in an unconventional way, selected philosophical accounts and everyday experiences from certain locations in Tanzania and Uganda.
Learning to Diagnose with Simulations : Examples from Teacher Education and Medical Education
Presents 8 novel approaches to measure and improve diagnostic competences with simulation. The book compares the effects of interventions on these diagnostic competences in both teacher and medical education. It includes analyses showing that important aspects of diagnostic competences and effects of instructional interventions aiming to facilitate them are comparable for teachers and doctors.
Learning through Community : Exploring Participatory Practices
A collection of case studies that explore the learning that people do through community engagement. Developed within a network of Canadian researchers and their community partners, it explores learning that is organized by the learners themselves, collectively, rather than as individuals. Reflecting the contributors’ political priorities, the volume begins with groups that are highly marginalized in our society: immigrant women, sex trade workers, senior citizens, garment workers, women doing community economic development, and people who identify with disability and anti-poverty movements.
Learning Languages, Learning Life-skills : Autobiographical reflexive approach to teaching and learning a foreign language
Learning Languages, Learning Life Skills offers an autobiographical reflexive approach to foreign language education. The orientation of the book is practical, containing rich descriptions of language learning situations including authentic language use and student stories.
Learning in Modern International Society : On the Cognitive Problem Solving Abilities of Political Actors
Claudia Hofmann engages in a theoretical modelling of international learning processes and the substantiation of this model through three cases from international politics. She answers two questions: How may international actors learn as a collective? And how may the lessons learned influence actor behaviour and problem solving processes? As a foundation for answering these questions she examines the nature of actor behaviour within a social international system and integrates the diffusion of norms and values among macro-level actors.
Learning in cultural context : Family, peers, and school
What events take place at the intersection of cultural identity, education, and experience? How can they be measured, replicated? How can teachers use such personal phenomena to enhance student performance?
Learning from clusters : A critical assessment from an economic-geographical perspective
Edited volumes run the danger of being a hotchpotch of contributions on a wide variety of topics. Here, we have explicitly focused on a central theme in contemporary economic geography and regional science, namely the relationship between learning, innovation and clustering. Internationally renowned scientists made both theoretical and empirical contributions to this volume. We think this book constitutes a broad palette of contemporary thinking and research on the relationship between spatial concentration and innovation and hope it will play a significant role in future debates on this issue.
Learning Classifier Systems in Data Mining
Just over thirty years after Holland first presented the outline for Learning Classifier System paradigm, the ability of LCS to solve complex real-world problems is becoming clear. In particular, their capability for rule induction in data mining has sparked renewed interest in LCS. This book brings together work by a number of individuals who are demonstrating their good performance in a variety of domains.
