الصفحة 14
الصفحة 14
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Mathematical Events of the Twentieth Century

Russian mathematics (later Soviet mathematics, and Russian mathematics once again) occupies a special place in twentieth-century mathematics. In addition to its well-known achievements, Russian mathematics established a unique style of research based on the existence of prominent mathematical schools. These schools were headed by recognized leaders, who became famous due to their talents and outstanding contributions to science. The present collection is intended primarily to gather in one book the t- timonies of the participants in the development of mathematics over the past century. In their articles the authors have expressed their own points of view on the events that took place. The editors have not felt that they had a right to make any changes, other than stylistic ones, or to add any of their own commentary to the text. Naturally, the points of view of the authors should not be construed as those of the editors. The list of mathematicians invited to participate in the present edition was quite long.

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Mathematical Analysis : Linear and Metric Structures and Continuity

The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self-adjoint and normal operators. The second part examines the role of general topology in the context of metric spaces and includes the notions of homotopy and degree. The third and final part is a discussion on Banach spaces of continuous functions, Hilbert spaces and the spectral theory of compact operators.

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Mathematica for Theoretical Physics : Electrodynamics, Quantum Mechanics, General Relativity, and Fractals

Mathematica for Theoretical Physics: Electrodynamics, Quantum Mechanics, General Relativity, and Fractals This second edition of Baumann's Mathematica® in Theoretical Physics shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Each example and calculation can be evaluated by the reader, and the reader can change the example calculations and adopt the given code to related or similar problems. The second edition has been completely revised and expanded into two volumes: The first volume covers classical mechanics and nonlinear dynamics. Both topics are the basis of a regular mechanics course. The second volume covers electrodynamics, quantum mechanics, relativity, and fractals and fractional calculus. New examples have been added and the representation has been reworked to provide a more interactive problem-solving presentation. This book can be used as a textbook or as a reference work, by students and researchers alike. A brief glossary of terms and functions is contained in the appendices.

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Mathematica for Theoretical Physics : Classical Mechanics and Nonlinear Dynamics

Mathematica for Theoretical Physics: Classical Mechanics and Nonlinear Dynamics This second edition of Baumann's Mathematica® in Theoretical Physics shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Each example and calculation can be evaluated by the reader, and the reader can change the example calculations and adopt the given code to related or similar problems. The second edition has been completely revised and expanded into two volumes: The first volume covers classical mechanics and nonlinear dynamics. Both topics are the basis of a regular mechanics course. The second volume covers electrodynamics, quantum mechanics, relativity, and fractals and fractional calculus. New examples have been added and the representation has been reworked to provide a more interactive problem-solving presentation. This book can be used as a textbook or as a reference work, by students and researchers alike. A brief glossary of terms and functions is contained in the appendices.

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Matetrentino : Percorsi matematici a Trento e dintorni = Matetrentino : Mathematical courses in Trento and the surrounding area

This book and the exhibition it tells arise from the desire to communicate how beautiful and interesting a discipline such as mathematics can be and to bring the curious "visitor" closer to it. Here are collected the texts and images of the four thematic areas (topology, maximum and minimum, visualization and symmetry) developed in the exhibition and illustrated taking inspiration from the reality of Trento and its territory.

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Materials Issues for Generation IV Systems ; Status, Open Questions and Challenges

Global warming, shortage of low-cost oil resources and the increasing demand for energy are currently controlling the world's economic expansion while often opposing desires for sustainable and peaceful development. In this context, atomic energy satisfactorily fulfills the criteria of low carbon gas production and high overall yield. However, in the absence of industrial fast-breeders the use of nuclear fuel is not optimal, and the production of high activity waste materials is at a maximum. These are the principal reasons for the development of a new, fourth generation of nuclear reactors, minimizing the undesirable side-effects of current nuclear energy production technology while increasing yields by increasing operation temperatures and opening the way for the industrial production of hydrogen through the decomposition of water.

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Materials for Tomorrow : Theory, Experiments and Modelling

This book contains six chapters on central topics in materials science. Each is written by specialists in the field, and gives a state-of-the-art presentation of the subject for graduate students and scientists not necessarily working in that field. Computer simulations of new materials, theory and experimental work are all extensively discussed. As nanomaterials are of great current interest, most of the topics discussed have a bearing on nanomaterials and nanodevices. In addition to inorganic nanotubes, metallic nanocrystals, electronic nanodevices, spintronics and interfaces on an atomic scale, the text also presents computer simulations on one of the less well understood fields in solid-state physics and materials science: glasses and undercooled fluids.

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Materials Chemistry

"Written to fill the need for a textbook that addresses inorganic-, organic-, and nano-based materials from a structure vs. property treatment, Materials Chemistry aims to provide a suitable breadth and depth coverage of the rapidly evolving materials field - in a concise format. This modern treatment offers innovative coverage and practical perspective throughout.

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Material Inhomogeneities and their Evolution : A Geometric Approach

The first part of the book deals with the geometrical description of uniform bodies and their homogeneity (i.e., integrability) conditions. In the second part, a theory of material evolution is developed and its relevance in various applied contexts discussed. The necessary geometrical notions are introduced as needed in the first two parts but often without due attention to an uncompromising mathematical rigour. This task is left for the third part of the book, which is a highly technical compendium of those concepts of modern differential geometry that are invoked in the first two parts (differentiable manifolds, Lie groups, jets, principal fibre bundles, G-structures, connections, frame bundles, integrable prolongations, groupoids, etc.).

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Marxist Philosophy in China : From Qu Qiubai to Mao Zedong, 1923-1945

The book sets the philosophical writings of philosophers in the context of the development of Marxist philosophy internationally, and examines particularly the influence on these philosophers of Soviet Marxist philosophy. It argues that these Chinese Marxist philosophers’ interpretations of Marxist philosophy were quite orthodox when judged by the standards of contemporary Soviet Marxism. The book explores core themes in Marxist philosophy in China, including the dilemma of determinism, and investigates the way in which these Chinese Marxist philosophers sought a formula for the ‘Sinification’ of Marxist philosophy that both retained the universal dimensions of Marxism and allowed its application to the Chinese context. The book concludes with analysis of the role of the Yanan New Philosophy Association in developing from Soviet Marxist philosophy the philosophical dimension of Mao Zedong Thought, the official ideology of the Chinese Communist Party after 1945.

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Martingale Methods in Financial Modelling

This book provides a comprehensive, self-contained and up-to-date treatment of the main topics in the theory of option pricing. The first part of the text starts with discrete-time models of financial markets, including the Cox-Ross-Rubinstein binomial model. The passage from discrete- to continuous-time models, done in the Black-Scholes model setting, assumes familiarity with basic ideas and results from stochastic calculus. However, an Appendix containing all the necessary results is included. This model setting is later generalized to cover standard and exotic options involving several assets and/or currencies. An outline of the general theory of arbitrage pricing is presented. The second part of the text is devoted to the term structure modelling and the pricing of interest-rate derivatives. The main emphasis is on models that can be made consistent with market pricing practice.

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Mars, A Cosmic Stepping Stone : Uncovering Humanity’s Cosmic Context

The questions of our origin and cosmic abundance of life are among the compelling facing humanity. For all of the difficulties facing us however, the planet Mars may act as a cosmic stepping stone in uncovering the answers. This book examines these issues in one of the comprehensive treatments about Mars and our legacy of engagement with it.

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Marine Geochemistry

Since 1980 a considerable amount of scientific research dealing with geochemical processes in marine sediments has been carried out. This textbook summarizes the state of the art in this field of research. The topics comprise the examination of sedimentological and physical properties of the sedimentary solid phase, of pore water and pore water constituents, organic matter as the driving force of most microbiological processes, biotic and abiotic redox reactions, carbonates and stable isotopes as proxies for paleoclimate reconstruction, metal enrichments in ferromanganese nodules and crusts as well as in hot vents and cold seeps on the seafloor. A new chapter describes properties, occurrence and formation of gas hydrates in marine sediments. The textbook ends with a chapter on model conceptions and computer models to quantify processes of early diagenesis.

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Map-based Mobile Services : Theories, Methods and Implementations

Divided into three parts - theory, method and implementation, this book starts with a summary of the state-of-the-art in mobile technologies. It also introduces a conceptual framework of mobile cartography with the emphasis on mobile usage context. It is accompanied by a CD-ROM which contains the PDF-Files in colour.

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Map-based Mobile Services : Design, Interaction and Usability

It addresses methods and techniques for topics that range from design and rendering, context modelling, personalisation, multimodal interaction to usability test. Instead of striving for a seamless coverage of all essential theoretical and technical issues with an equal depth and extent, we attempt to pinpoint a number of research highlights and representative development activities at universities, research institutions and so- ware industry. The operational prototypes and platforms reported in the book are on the one hand outcome and feasibility proof of various approaches. On the other hand, they serve as a new starting point for the refinement of user interfaces and iterative usability tests.

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Map Projections : Cartographic Information Systems

In the context of Geographical Information Systems (GIS) the book offers a timely review of map projections (sphere, ellipsoid, rotational surfaces) and geodetic datum transformations. For the needs of photogrammetry, computer vision, and remote sensing space projective mappings are reviewed.

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Managing the Complexity of Critical Infrastructures : A Modelling and Simulation Approach

This book summarizes work being pursued in the context of the CIPRNet (Critical Infrastructure Preparedness and Resilience Research Network) research project, co-funded by the European Union under the Seventh Framework Programme (FP7). The project is intended to provide concrete and on-going support to the Critical Infrastructure Protection (CIP) research communities, enhancing their preparedness for CI-related emergencies, while also providing expertise and technologies for other stakeholders to promote their understanding and mitigation of the consequences of CI disruptions, leading to enhanced resilience.

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Managing Protected Areas in Central and Eastern Europe Under Climate Change

Addresses the need for sharing knowledge and experience in the field of biodiversity conservation and climate change. There is an urgent need to build capacity in protected areas to monitor, assess, manage and report the effects of climate change and their interaction with other pressures. The contributors identify barriers to the adaptation of conservation management, such as the mismatch between planning reality and the decision context at site level. Short and vivid descriptions of case studies, drawn from investigation areas all over Central and Eastern Europe, illustrate both the local impacts of climate change and their consequences for future management.

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Making Ammonia : Fritz Haber, Walther Nernst, and the Nature of Scientific Discovery

This book discusses the progress of science and the transfer of scientific knowledge to technological application. It also identifies the factors necessary to achieve this progress. Based on a case study of the physical chemist Fritz Haber's discovery of ammonia synthesis between 1903 and 1909, the book places Haber's work in historical and scientific (physicochemical) context. The scientific developments of the preceding century are framed in a way that emphasizes the confluence of knowledge needed for Haber's success. Against this background, Haber's work is presented in detail along with the indispensable contributions of his colleague, the physical chemist, Walter Nernst, and their assistants. The detailed accounts of scientific advancement remind us of the physical basis on which our scientific theories and ideas are built. Without this reminder we often forget how complex, and how beautiful achievements in science can be.

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Making a Difference in Teacher Education Through Self-Study : Studies of Personal, Professional and Program Renewal

The book presents research on 15 different teacher education programs and describes individual renewal efforts. The stories -- including both the successes and challenges -- are inspiring and informative. In this age of accountability these teacher educators have used a range of research methods to gather data on their work and in turn used it to guide future decisions. The text includes examples of both large scale research and individual efforts. The common thread among the authors is a commitment to "walking the talk."

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