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An Introduction to Sobolev Spaces and Interpolation Spaces

After publishing an introduction to the Navier–Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible to a larger audience.

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An Introduction to Scientific Computing : Twelve Computational Projects Solved with MATLAB

This book provides twelve computational projects aimed at numerically solving problems from a broad range of applications including Fluid Mechanics, Chemistry, Elasticity, Thermal Science, Computer Aided Design, Signal and Image Processing. For each project the reader is guided through the typical steps of scientific computing from physical and mathematical description of the problem, to numerical formulation and programming and finally to critical discussion of numerical results. Considerable emphasis is placed on practical issues of computational methods. The last section of each project contains the solutions to all proposed exercises and guides the reader in using the MATLAB scripts.

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An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

This book gives an introduction to modern geometry. Starting from an elementary level the author develops deep geometrical concepts, playing an important role nowadays in contemporary theoretical physics. He presents various techniques and viewpoints, thereby showing the relations between the alternative approaches.

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An Introduction to Operators on the Hardy-Hilbert Space

The subject of this book is operator theory on the Hardy space H2, also called the Hardy-Hilbert space. The goal is to provide an elementary and engaging introduction to this subject that will be readable by everyone who has understood introductory courses in complex analysis and in functional analysis.

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An Introduction To Chemoinformatics

This, the first text written specifically for this field, aims to provide an introduction to the major techniques of chemoinformatics. The first part of the book deals with the representation of 2D and 3D molecular structures, the calculation of molecular descriptors and the construction of mathematical models. The second part describes other important topics including molecular similarity and diversity, the analysis of large data sets, virtual screening, and library design. Simple illustrative examples are used throughout to illustrate key concepts, supplemented with case studies from the literature.

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An Interactive Multimedia Introduction to Signal Processing

A didactic concept is undertaken for microelectronics, computer technology and communication engineering, which deals with the visualization of signals and processes in addition to graphical programming of signal processing systems. Through the utilization of a professional and globally supported software for metrology and control engineering, DasyLab, useful applications can be developed, modified and optimized. Computer supported processing of real signals is made possible over the sound card and the parallel port. Over two hundred pre-programmed signal engineering systems and design transparencies are provided. Pictures also play a dominant rule in this book: there are numerous introduction-videos, one for every chapter, more than 250 high-quality pictures and - most important – all the "living" experiments and their results are visualized. With this learning system, readers can now make use of "equipment" and software, which was practically unaffordable for individuals in the past. What's more, here is a very new concept for learning Signal Processing, not only from the physically-based scientific fundamentals, but also from the didactic perspective, based on modern results of brain research.

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An Energy Analysis of Household Consumption : Changing Patterns of Direct and Indirect Use in India

The book presents a novel socio-economic approach to analysing the - ergy system and energy consumption in India from a household persp- tive. In doing so, it views households as the ultimate end-consumers and estimates and analyses the direct and indirect energy requirements of household consumption, both at an aggregate national level as well as at a disaggregate household level. In addition, the work incorporates two c- cial aspects often ignored by many energy studies that are characteristic of most developing countries, namely the importance of non-commercial sources of biomass energy in the energy systems of these countries, and the enormous diversity and inequity in the patterns of energy access and use across households with different lifestyles and levels of well being.

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Alternative Education : Global Perspectives Relevant to the Asia-Pacific Region

Alternative streams of education have been and remain an important but difficult theme for teachers, parents, policy-makers, and scholars. By focusing on case studies of six countries (Bolivia, Thailand, Australia, USA, The Netherlands, and Denmark), and by comprehensively analysing these by means of international comparative methodologies, the author approaches the nuts and bolts issues of alternative and mainstream education systems. The case studies include Charter Schools in the USA and Waldorf Schools in Australia. The study presents not only an insightful analysis of alternative forms of education with regard to actual issues in societies and also legal and administrative features of education. It provides insights into the kind of school development that could be appropriate in the 21st century and the types of educational communities we should seek to create in the age of globalisation.

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Allocating public and private resources across generations : Riding the age waves ; Vol .2

The chapters in this volume greatly develop our understanding of the nature and measurement of transfers, their motives and mechanisms, and their macro-level dimensions, especially in the context of demographic transitions.

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Algorithms for Approximation ; Proceedings of the 5th International Conference, Chester, July 2005

Approximation methods are vital in many challenging applications of computational science and engineering. This is a collection of papers from world experts in a broad variety of relevant applications.

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Algorithmic topology and classification of 3-manifolds

This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology. The book is intended to combine the pedagogical approach of a graduate textbook with the completeness and reliability of a research monograph.

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Algorithm collections for digital signal processing applications using matlab

The Algorithms such as SVD, Eigen decomposition, Gaussian Mixture Model, HMM etc. are scattered in different fields. There is the need to collect all such algorithms for quick reference. Also there is the need to view such algorithms in application point of view. Algorithm Collections for Digital Signal Processing Applications using MATLAB attempts to satisfy the above requirement. Also the algorithms are made clear using MATLAB programs.

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Algèbre, Chapitres 1 à 3 = Algebra, Chapters 1 to 3

To do algebra is essentially to calculate, that is to say to perform, on elements of a set, (<algebraic operations n, the best-known example of which is provided by the (<four rules)) of elementary arithmetic. This is not the place to retrace the slow process of progressive abstraction by which the notion of algebraic operation, initially restricted to natural integers and to measurable quantities, gradually widened its field, as it grew. at the same time generalized the notion of ((number O, until, going beyond the latter, it came to apply to elements which no longer had any character ((numeric)>, for example to permutations of a - seems (see Historical Note in chap. 1).

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Algèbre, Chapitre 9 = Algebra, Chapter 9

Sesquilinear and quadratic forms : The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations. This ninth chapter of the Book of Algebra, the second Book of the treatise, is devoted to quadratic, symplectic or Hermitian forms and to associated groups.

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Algèbre, Chapitre 4 à 7 = Algebra, Chapter 4 to 7

The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations. Deals in particular with extensions of fields and Galois theory. It includes the chaptires: 4. Polynomials and rational fractions; 5. Commutative bodies 6. Orderly groups and bodies; 7. Modules on the main rings

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Algèbre commutative, Chapitre 10 = Commutative Algebra, Chapter 10

Depth, Regularity, Duality The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations. This volume of the Book of Commutative Algebra, Book 7 of the treatise, is a continuation of the earlier chapters. It introduces in particular the notions of depth and smoothness, fundamental in algebraic geometry. It ends with the introduction of the dualizing modules and the Grothendieck duality.

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Algebras, Rings and Modules ; Vol.2

This book provides both the classical aspects of the theory of groups and their representations as well as a general introduction to the modern theory of representations including the representations of quivers and finite partially ordered sets and their applications to finite dimensional algebras.

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Algebraic Multiplicity of Eigenvalues of Linear Operators

This book brings together all the most important known results of research into the theory of algebraic multiplicities, from well-known classics like the Jordan Theorem to recent developments such as the uniqueness theorem and the construction of multiplicity for non-analytic families.

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Algebraic Methods for Nonlinear Control Systems

A self-contained introduction to algebraic control for nonlinear systems suitable for researchers and graduate students.The most popular treatment of control for nonlinear systems is from the viewpoint of differential geometry yet this approach proves not to be the most natural when considering problems like dynamic feedback and realization. Professors Conte, Moog and Perdon develop an alternative linear-algebraic strategy based on the use of vector spaces over suitable fields of nonlinear functions. This algebraic perspective is complementary to, and parallel in concept with, its more celebrated differential-geometric counterpart.Algebraic Methods for Nonlinear Control Systems describes a wide range of results, some of which can be derived using differential geometry but many of which cannot.

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Algebraic Combinatorics : Lectures at a Summer School in Nordfjordeid, Norway, June 2003

This book is based on two series of lectures given at a summer school on algebraic combinatorics at the Sophus Lie Centre in Nordfjordeid, Norway, in June 2003, one by Peter Orlik on hyperplane arrangements, and the other one by Volkmar Welker on free resolutions.

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