الصفحة 60
الصفحة 60
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An Introduction to Number Theory

An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate how the ideas handed down from Euclid continue to reverberate through the subject. In particular, the book shows how the Fundamental Theorem of Arithmetic, handed down from antiquity, informs much of the teaching of modern number theory. The result is that number theory will be understood, not as a collection of tricks and isolated results, but as a coherent and interconnected theory. A number of different approaches to number theory are presented, and the different streams in the book are brought together in a chapter that describes the class number formula for quadratic fields and the famous conjectures of Birch and Swinnerton-Dyer. The final chapter introduces some of the main ideas behind modern computational number theory and its applications in cryptography.

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An Introduction to Navier-Stokes Equation and Oceanography

The Introduction to Navier-Stokes Equation and Oceanography corresponds to a graduate course in mathematics, taught at Carnegie Mellon University in the spring of 1999. Comments were added to the lecture notes distributed to the students, as well as short biographical information for all scientists mentioned in the text, the purpose being to show that the creation of scientific knowledge is an international enterprise, and who contributed to it, from where, and when. The goal of the course is to teach a critical point of view concerning the partial differential equations of continuum mechanics, and to show the need for developing new adapted mathematical tools.

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An Introduction to Meshfree Methods and Their Programming

This book aims to present meshfree methods in a friendly and straightforward manner, so that beginners can very easily understand, comprehend, program, implement, apply and extend these methods. It provides first the fundamentals of numerical analysis that are particularly important to meshfree methods. Typical meshfree methods, such as EFG, RPIM, MLPG, LRPIM, MWS and collocation methods are then introduced systematically detailing the formulation, numerical implementation and programming. Many well-tested computer source codes developed by the authors are attached with useful descriptions. The application of the codes can be readily performed using the examples with input and output files given in table form. These codes consist of most of the basic meshfree techniques, and can be easily extended to other variations of more complex procedures of meshfree methods. Readers can easily practice with the codes provided to effective learn and comprehend the basics of meshfree methods.

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An Introduction to Mathematical Cryptography

This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required.

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An Introduction to Markov Processes

Provides a more accessible introduction than other books on Markov processes by emphasizing the structure of the subject and avoiding sophisticated measure theoryLeads the reader to a rigorous understanding of basic theory

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An Introduction to Infinite-Dimensional Analysis

In this revised and extended version of his course notes from a 1-year course at Scuola Normale Superiore, Pisa, the author provides an introduction – for an audience knowing basic functional analysis and measure theory but not necessarily probability theory – to analysis in a separable Hilbert space of infinite dimension.Starting from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate some basic stochastic dynamical systems (including dissipative nonlinearities) and Markov semi-groups, paying special attention to their long-time behavior: ergodicity, invariant measure. Here fundamental results like the theorems of  Prokhorov, Von Neumann, Krylov-Bogoliubov and Khas'minski are proved. The last chapter is devoted to gradient systems and their asymptotic behavior.

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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 American scientist on the research frontier : Edward Morley, community, and radical ideas in nineteenth-century science

This important examination of Morley’s struggle for personal and professional legitimacy extends and transforms our understanding of science during a foundational period, and leads to a number of unique conclusions that are vital to the literature and historiography of science.

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Amplification of Chirality

Amplification of Chirality presents critical reviews of the present position and future trends in modern chemical research. The book contains short and concise reports on chemistry. Each is written by the world renowned experts. Still valid and useful after 5 or 10 years, more information as well as the electronic version of the whole content available at: springerlink.com.

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Amongst Mathematicians : Teaching and Learning Mathematics at University Level

Amongst Mathematicians offers a unique perspective on the ways in which mathematicians perceive their students' learning, teach and reflect on their teaching practice; also on how they perceive the often fragile relationship between the communities of mathematics and mathematics education.This book demonstrates the pedagogical potential that lies in collaborative undergraduate mathematics education research that engages mathematicians, researchers and students. Nardi also addresses the need for action in undergraduate mathematics education and offers a discourse for reform through demonstrating the feasibility and potential of collaboration between mathematicians and mathematics education researchers.

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Amino acids and the asymmetry of life : Caught in the act of formation

This book describes how the basic building blocks of life, the amino acids, formed. After a comprehensible introduction into stereochemistry, the author addresses the inherent property of amino acids in living organisms, namely the preference for left-handedness. What was the cause for violation of parity of amino acids in the emergence of life on Earth? All the fascinating models proposed by physicists, chemists and biologist are vividly presented including the scientific conflicts.

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Alternative pseudodifferential analysis : With an application to modular forms

This volume introduces an entirely new pseudodifferential analysis on the line, the opposition of which to the usual (Weyl-type) analysis can be said to reflect that, in representation theory, between the representations from the discrete and from the (full, non-unitary) series, or that between modular forms of the holomorphic and substitute for the usual Moyal-type brackets. This pseudodifferential analysis relies on the one-dimensional case of the recently introduced anaplectic representation and analysis, a competitor of the metaplectic representation and usual analysis.

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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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Altering nature ; Vol.2 : Religion, Biotechnology, and Public Policy

The two volumes of Altering Nature consider the complex ways that concepts of 'nature' and 'the natural' are understood and the relevance of those understandings to discussions of biotechnology.Volume Two, Religion, Biotechnology, and Public Policy, reviews recent religious and ethical analyses of four specific areas of biotechnology: assisted reproduction, genetic therapy and enhancement, human-machine incorporation, and biodiversity. It identifies and explores the richer normative themes that inform particular debates and suggests ways that policy choices in biotechnology may be illuminated by devoting greater attention to religious perspectives.

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Alpine Industrial Landscapes : Towards a New Approach for Brownfield Redevelopment in Mountain Regions

This book presents a pioneering research on brownfield redevelopment in mountain regions, and specifically in the European Alps. The origins and causes, the actual conditions as well as the future challenges and potentials of mountain brownfields are investigated from an interdisciplinary yet landscape-centered perspective. Through the reasoned combination of research-by-design methods and case-study analysis, the book explores the infrastructural relevance of these sites for the specific mountain territory, while advancing an innovative structuralist-systemic approach for their physical and functional transformation. The book includes, among others, a first transnational geo-mapping of Alpine brownfields, whose impressive outcomes in terms of site numbers and distribution can only confirm the urgency of this research.

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Alla ricerca della via più breve : Un'avventura matematica = Finding the shortest way : A mathematical adventure

Il libro narra la vicenda di Rut, quindicenne, trasferitasi da poco in Germania con la famiglia, al seguito del padre che lavora per un’azienda internazionale produttrice di Software. Sarà proprio il padre a regalare a Rut un computer nuovo, mentre a scuola attraversa un periodo di crisi.E’ l’inizio di un’avventura. Nel computer è installato Vim: un programma che ascolta, capisce e risponde alle domande che la ragazza, inizialmente incredula, fa. Raccontata da Vim, la matematica prende una forma completamente nuova, sorprendente e affascinante.

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Algoritmi : Lo spirito dell’informatica = Algorithms : The spirit of information technology

Algorithms are the heart of computer science and mathematics, since without them the use of computers would not be possible. In this book, which in its English edition has been a longtime bestseller, Harel and Feldmann answer all questions relating to this topic. They talk about the evaluation, correctness and effectiveness of algorithms, but also clarify some doubts about programming techniques and also refer to the very current discussion on quantum computing. The book is useful both as a basic text for an introductory university course in computer science, and as a general introduction to natural sciences, mathematics or engineering.

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Algorithms in Real Algebraic Geometry

The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequently in many areas of science and engineering. In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing.

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Algorithmic information theory : Mathematics of digital information processing

This book treats the Mathematics of many important areas in digital information processing.It covers, in a unified presentation, five topics: Data Compression, Cryptography, Sampling (Signal Theory), Error Control Codes, Data Reduction. The thematic choices are practice-oriented. So, the important final part of the book deals with the Discrete Cosine Transform and the Discrete Wavelet Transform, acting in image compression. The presentation is dense, the examples and numerous exercises are concrete. The pedagogic architecture follows increasing mathematical complexity.

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