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K-Theory : An Introduction
From the Preface: K-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem. For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. Atiyah and Hirzebruch considered a topological analog defined for any compact space X, a group K{X) constructed from the category of vector bundles on X. It is this ''topological K-theory" that this book will study. Topological K-theory has become an important tool in topology. Using K- theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with H-space structures are S1, S3 and S7. Moreover, it is possible to derive a substantial part of stable homotopy theory from K-theory.
Knowledge acquisition in practice: A step-by-step guide
Recent years have seen an upsurge of interest in knowledge. Leading organisations now recognise the importance of identifying what they know, sharing what they know and using what they know for maximum benefit. Many organisations employ knowledge engineers to capture knowledge from experts using the principles and techniques of knowledge engineering. The emphasis is on a structured approach built on a sound understanding of the psychology of expertise and making use of knowledge modelling methods and the latest web technologies. Knowledge Acquisition in Practice is the first book to provide a detailed step-by-step guide to the methods and practical aspects of acquiring, modelling, storing and sharing knowledge. The reader is led through 47 steps from the inception of a project to its successful conclusion. Each step is described in terms of the reasons for the step, the required resources, the activities to be undertaken, and the solutions to common problems.
Jupiter : and How to Observe It
Jupiter is one of the most spectacular observing targets for amateur astronomers. There are various books about observing the planets, and several about Jupiter itself, but this is the only book to deal with the giant planet - its formation, structure, and incredible physics - as well as with the practical aspects of observation of the planet and its moons.
Junge Perspektiven der Türkeiforschung in Deutschland = Young perspectives of Turkey research in Germany
This volume creates an interdisciplinary forum for contemporary Turkey research in Germany. It presents research results from young scientists who are characterized by a fresh view of Turkey, methodological diversity and interdisciplinary approaches. The volume thus contributes to a better understanding of the society, politics, economy, history and culture of the country, which is playing an increasingly important role both regionally and in the European context.
Italian Mathematics Between the Two World Wars
This book describes Italian mathematics in the period between the two World Wars. We analyze its development by focusing on both the interior and the external influences. Italian mathematics in that period was shaped by a colorful array of strong personalities who concentrated their efforts on a select number of fields and won international recognition and respect in an incredibly short time. Italy was also dominated by a fascist regime. This political situation and the social and academic structure of Italian society are included in the analysis as influences external to mathematics itself. The authors have provided a fascinating study of a most difficult time in the history of the world and of mathematics.
Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods
Among numerical methods applied in acoustics, the Finite Element Method (FEM) is normally favored for interior problems whereas the Boundary Element Method (BEM) is quite popular for exterior ones. That is why this valuable reference provides a complete survey of methods for computational acoustics, namely FEM and BEM. It demonstrates that both methods can be effectively used in the complementary cases. The chapters by well-known authors are evenly balanced: 10 chapters on FEM and 10 on BEM. An initial conceptual chapter describes the derivation of the wave equation and supplies a unified approach to FEM and BEM for the harmonic case. A categorization of the remaining chapters and a personal outlook complete this introduction. In what follows, both FEM and BEM are discussed in the context of very different problems.
Composites with micro- and nano-structure : Computational modeling and experiments
The book contains atomistic and continuum numerical methods and experimental validation for composite materials reinforced with particles or fibres, porous materials, homogenization and other important topics for research in this field.
Complexity in chemistry, biology, and ecology
This book, written by an international team of experts, introduces the reader to various aspects of complexity theory and its applications. It illustrates the latest trends in science to go beyond the mechanistic Newtonian view of the world by shifting the focus to self-organization, adaptation, and emergent phenomena. The authors discuss these properties of complex systems in biology, ecology and chemistry along with the structure and interconnectedness of the "layers" of complexity. The qualitative description is complemented by a discussion of methods for complexity quantification. Networks are covered in detail as a universal language of the complex world.
Complexity Explained
This book explains why complex systems research is important in understanding the structure, function and dynamics of complex natural and social phenomena. It illuminates how complex collective behavior emerges from the parts of a system, due to the interaction between the system and its environment.
Complex Effects in Large Eddy Simulations
This volume contains a collection of expert views on the state of the art in Large Eddy Simulation (LES) and its application to complex ?ows. Much of the material in this volume was inspired by contributions that were originally presented at the symposium on Complex E?ects in Large Eddy Simulation held in Lemesos (Limassol), Cyprus, between September 21st and 24th, 2005.
Complex Dynamics in Communication Networks
Computer and communication networks are among society's most important infrastructures. The internet, in particular, is a giant global network of networks without central control or administration. It is a paradigm of a complex system, where complexity may arise from different sources: topological structure, network evolution, connection and node diversity, or dynamical evolution. The present volume is the first book entirely devoted to the new and emerging field of nonlinear dynamics of TCP/IP networks. It addresses both scientists and engineers working in the general field of communication networks.
Compendium of Theoretical Physics
Mechanics, Electrodynamics, Quantum Mechanics, and Statistical Mechanics and Thermodynamics comprise the canonical undergraduate curriculum of theoretical physics. In Compendium of Theoretical Physics, Armin Wachter and Henning Hoeber offer a concise, rigorous and structured overview that will be invaluable for students preparing for their qualifying examinations, readers needing a supplement to standard textbooks, and research or industrial physicists seeking a bridge between extensive textbooks and formula books. The authors take an axiomatic-deductive approach to each topic, starting the discussion of each theory with its fundamental equations. By subsequently deriving the various physical relationships and laws in logical rather than chronological order, and by using a consistent presentation and notation throughout, they emphasize the connections between the individual theories. The reader’s understanding is then reinforced with exercises, solutions and topic summaries.
Compatible Spatial Discretizations
Compatible spatial discretizations are those that inherit or mimic fundamental properties of the PDE such as topology, conservation, symmetries, and positivity structures and maximum principles. It offer a snapshot of the current trends and developments in compatible spatial discretizations. The reader will find valuable insights on spatial compatibility from several different perspectives and important examples of applications compatible discretizations in computational electromagnetics, geosciences, linear elasticity, eigenvalue approximations and MHD. The contributions collected in this volume will help to elucidate relations between different methods and concepts and to generally advance our understanding of compatible spatial discretizations for PDEs.
Comparative Third Sector Governance in Asia : Structure, Process, and Political Economy
The book – the first of its kind – establishes new theory and knowledge in the area of third sector organizations (TSOs) in Asia. The main purpose of this book is to draw the attention of Asia's TSOs on the importance of good governance. It documents variety of approaches, and identifies socio-cultural, economic, and political dynamics and impacts of different models of TSO governance. The combined information from the contributions in this work will ensure the sustainability of TSOs throughout Asia.
Comparative and Global Pedagogies : Equity, Access and Democracy in Education
This book critically examines equality, equity and democracy in education, globally as well as from various perspectives. Globally, there are increasing arguments both for the democratization of education and for the use of education to promote a democratic society. It is argued that democratic schools would better prepare for active citizenship and for a strong civil society which are seen to be the foundation of a democratic state. The book further argues that while there are inspiring examples of schools that engage in peace education or emancipatory pedagogy that work across various ethnic or religious divides, on balance, the forms, structures, ideologies and purposes of formal education interact to make national and international conflict more likely.
Compactifying Moduli Spaces for Abelian Varieties
This volume presents the construction of canonical modular compactifications of moduli spaces for polarized Abelian varieties (possibly with level structure), building on the earlier work of Alexeev, Nakamura, and Namikawa. This provides a different approach to compactifying these spaces than the more classical approach using toroical embeddings, which are not canonical. There are two main new contributions in this monograph: (1) The introduction of logarithmic geometry as understood by Fontaine, Illusie, and Kato to the study of degenerating Abelian varieties; and (2) the construction of canonical compactifications for moduli spaces with higher degree polarizations based on stack-theoretic techniques and a study of the theta group.
Compactifications of Symmetric and Locally Symmetric Spaces
Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). In most applications it is necessary to form an appropriate compactification of the space. The literature dealing with such compactifications is vast. The main purpose of this book is to introduce uniform constructions of most of the known compactifications with emphasis on their geometric and topological structures. The book is divided into three parts. Part I studies compactifications of Riemannian symmetric spaces and their arithmetic quotients. Part II is a study of compact smooth manifolds. Part III studies the compactification of locally symmetric spaces.
Compact Lie Groups
This book covers the structure and representation theory of compact Lie groups. The necessary Lie algebra theory is also developed in the text with a streamlined approach focusing on linear Lie groups.
Climate risk in Africa : Adaptation and resilience
This book highlights the complexities around making adaptation decisions and building resilience in the face of climate risk. It is based on experiences in sub-Saharan Africa through the Future Climate For Africa (FCFA) applied research programme. It begins by dealing with underlying principles and structures designed to facilitate effective engagement about climate risk, including the robustness of information and the construction of knowledge through co-production
Clays
Here is a comprehensive and up to-do-date presentation of the origins, and properties of clay minerals at the Earths surface. Concluding chapters show that clay minerals can form in variety of different environments: meteorites, lavas, subduction zones, among others.
