Applied Algebra And Number Theory

Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Number theoryKsiążki Obcojęzyczne>Angielskie>Mathematics & science...

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Applied Number Theory

Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Number theoryKsiążki Obcojęzyczne>Angielskie>Computing & informati...

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Applied Number Theory

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Sklep: KrainaKsiazek.pl

Applied Proof Theory: Proof Interpretations and their Use in Mathematics Springer-Verlag Berlin and Heidelberg GmbH & Co....

Książki / Literatura obcojęzyczna

This book presents an applied form of proof theory that has led to new results in number theory, approximation theory, nonlinear analysis, geodesic geometry and ergodic theory (among others) in recent years . This applied approach is based on logical transformations (so-called proof interpretations) and concerns the extraction of effective data (such as bounds) from prima facie ineffective proofs as well as new qualitative results (independence of solutions from certain parameters, generalizations of proofs by elimination of premises and others). §The book first develops the necessary logical machinery emphasizing novel forms of Gödel's famous functional ('Dialectica') interpretation. It then establishes general logical metatheorems that connect these techniques with concrete mathematics. Finally, two extended case studies (one in approximation theory and one in fixed point theory) show in detail how this machinery can be applied to concrete proofs in different areas of mathematics.

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Social Theory & Applied Health Research Open University Press

Inne 1

The book aims to provide a resource for the increasing number of students, including students from professional backgrounds, who wish to undertake social research at an advanced level, but who are dissatisfied with the assumptions of traditional research on the one hand and the inaccessibility of complex philosophies of research on the other. The book aims to provide an accessible assessment of dilemmas facing social researchers in trying to make sense of the world in health care. It further tries to link theory and method, neither by rejecting wholesale particular forms of research, nor by accepting the possibility of triangulation at a philosophical level, but by presenting an account of how reflection on a field of possibilities can help amend, complement and strengthen a practical research strategy.

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Applied Complex Variable Dover Publications Inc.

Książki / Literatura obcojęzyczna

Part I. Analytic Function TheoryChapter 1. The Complex Number Plane 1.1 Introduction 1.2 Complex Numbers 1.3 The Complex Plane 1.4 Point Sets in the Plane 1.5 Stereographic Projection. The Extended Complex Plane 1.6 Curves and RegionsChapter 2. Functions of a Complex Variable 2.1 Functions and Limits 2.2 Differentiability and Analyticity 2.3 The Cauchy-Riemann Conditions 2.4 Linear Fractional Transformations 2.5 Transcendental functions 2.6 Riemann SurfacesChapter 3. Integration in the Complex Plane 3.1 Line Integrals 3.2 The Definite Integral 3.3 Cauchy's Theorem 3.4 Implications of Cauchy's Theorem 3.5 Functions Defined by Integration 3.6 Cauchy Formulas 3.7 Maximum Modulus PrincipleChapter 4. Sequences and Series 4.1 Sequences of Complex Numbers 4.2 Sequences of Complex Functions 4.3 Infinite Series 4.4 Power Series 4.5 Analytic Continuation 4.6 Laurent Series 4.7 Double Series 4.8 Infinite Products 4.9 Improper Integrals 4.10 The Gamma FunctionChapter 5. Residue Calculus 5.1 The Residue Theorem 5.2 Evaluation of Real Integrals 5.3 The Principle of the Argument 5.4 Meromorphic Functions 5.5 Entire FunctionsPart II. Applications of Analytic Function TheoryChapter 6. Potential Theory 6.1 Laplace's Equation in Physics 6.2 The Dirichlet Problem 6.3 Green's Functions 6.4 Conformal Mapping 6.5 The Schwarz-Christoffel Transformation 6.6 Flows with Sources and Sinks 6.7 Volume and Surface Distributions 6.8 Singular Integral EquationsChapter 7. Ordinary Differential Equations 7.1 Separation of Variables 7.2 Existence and Uniqueness Theorems 7.3 Solution of a Linear Second-Order Differential Equation Near an Ordinary Point 7.4 Solution of a Linear Second-Order Differential Equation Near a Regular Singular Point 7.5 Bessel Functions 7.6 Legendre Functions 7.7 Sturm-Liouville Problems 7.8 Fredholm Integral EquationsChapter 8. Fourier Transforms 8.1 Fourier Series 8.2 The Fourier Integral Theorem 8.3 The Complex Fourier Transform 8.4 Properties of the Fourier Transform 8.5 The Solution of Ordinary Differential Equations 8.6 The Solution of Partial Differential Equations 8.7 The Solution of Integral EquationsChapter 9. Laplace Transforms 9.1 From Fourier to Laplace Transform 9.2 Properties of the Laplace Transform 9.3 Inversion of Laplace Transforms 9.4 The Solution of Ordinary Differential Equations 9.5 Stability 9.6 The Solution of Partial Differential Equations 9.7 The Solution of Integral EquationsChapter 10. Asymptotic Expansions 10.1 Introduction and Definitions 10.2 Operations on Asymptotic Expansions 10.3 Asymptotic Expansion of Integrals 10.4 Asymptotic Solutions of Ordinary Differential Equations References; Index

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Modern Applied Biostatistical Methods Using S-Plus Oxford University Press

Medycyna > English Division

Statistical analysis typically involves applying theoretically generated techniques to the description and interpretation of collected data. In this text, theory, application and interpretation are combined to present the entire biostatistical process for a series of elementary and intermediate analytic methods. The theoretical basis for each method is discussed with a minimum of mathematics and is applied to a research data example using a computer system called S-PLUS. This system produces concrete numerical results and increases one's understanding of the fundamental concepts and methodology of statistical analysis. This text is not a computer manual, even though it makes extensive use of computer language to describe and illustrate applied statistical techniques. This makes the details of the statistical process readily accessible, providing insight into how and why a statistical method identifies the properties of sampled data. The first chapter gives a simple overview of the S-PLUS language. The subsequent chapters use this valuable statistical tool to present a variety of analytic approaches. Combining statistical logic, data and computer tools, the author explores such topics as random number generation, general linear models, estimation, analysis of tabular data, analysis of variance and survival analysis. The end result is a clear and complete explanation of the way statistical methods can help one gain an understanding of collected data. Modern Applied Biostatistical Methods is unlike other statistical texts, which usually deal either with theory or with applications. It integrates the two elements into a single presentation of theoretical background, data, interpretation, graphics, and implementation. This all-around approach will be particularly helpful to students in various biostatistics and advanced epidemiology courses, and will interest all researchers involved in biomedical data analysis.

Sklep: Ksiazki-medyczne.eu

500 Examples and Problems of Applied Differential Equations Springer Nature Switzerland AG

Książki / Literatura obcojęzyczna

This book highlights an unprecedented number of real-life applications of differential equations together with the underlying theory and techniques. The problems and examples presented here touch on key topics in the discipline, including first order (linear and nonlinear) differential equations, second (and higher) order differential equations, first order differential systems, the Runge-Kutta method, and nonlinear boundary value problems. Applications include growth of bacterial colonies, commodity prices, suspension bridges, spreading rumors, modeling the shape of a tsunami, planetary motion, quantum mechanics, circulation of blood in blood vessels, price-demand-supply relations, predator-prey relations, and many more. Upper undergraduate and graduate students in Mathematics, Physics and Engineering will find this volume particularly useful, both for independent study and as supplementary reading. While many problems can be solved at the undergraduate level, a number of challenging real-life applications have also been included as a way to motivate further research in this vast and fascinating field.

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Modern Applied Biostatistical Methods Using S-Plus Oxford University Press

Zdrowie, medycyna

Statistical analysis typically involves applying theoretically generated techniques to the description and interpretation of collected data. In this text, theory, application and interpretation are combined to present the entire biostatistical process for a series of elementary and intermediate analytic methods. The theoretical basis for each method is discussed with a minimum of mathematics and is applied to a research data example using a computer system called S-PLUS. This system produces concrete numerical results and increases one's understanding of the fundamental concepts and methodology of statistical analysis.;This text is not a computer manual, even though it makes extensive use of computer language to describe and illustrate applied statistical techniques. This makes the details of the statistical process readily accessible, providing insight into how and why a statistical method identifies the properties of sampled data. The first chapter gives a simple overview of the S-PLUS language. The subsequent chapters use this valuable statistical tool to present a variety of analytic approaches.;Combining statistical logic, data and computer tools, the author explores such topics as random number generation, general linear models, estimation, analysis of tabular data, analysis of variance and survival analysis. The end result is a clear and complete explanation of the way statistical methods can help one gain an understanding of collected data.;Modern Applied Biostatistical Methods is unlike other statistical texts, which usually deal either with theory or with applications. It integrates the two elements into a single presentation of theoretical background, data, interpretation, graphics, and implementation. This all-around approach will be particularly helpful to students in various biostatistics and advanced epidemiology courses, and will interest all researchers involved in biomedical data analysis.

Sklep: Albertus.pl

Analysis of the Communicative Situation in Aphra Behn's "The Rover" Using Speech Act Theory, Grice's Maxims of Conversation and Relevance Theory Grin Publishing

Książki / Literatura obcojęzyczna

Essay from the year 2014 in the subject English Language and Literature Studies - Literature, grade: 1,0 (A in England), Oxford University, language: English, abstract: This essay argues that Aphra Behn's "The Rover" is first and foremost a play about language and communication, and the transformative power of language. Verbal communication in "The Rover" is the most powerful instrument in the game of seduction. It not only structures the social relations between the two sexes, but it gives structure to the whole play.This essay applies Speech Act Theory, Grice's Maxims of Conversation and parts of Relevance Theory from the linguistic field of Pragmatics to "The Rover" and will thus provide an analysis of the communicative situation in the play. The analysis will mainly focus on Willmore, Hellena and Angellica's speech, but will take the other characters into consideration, too. I will show that the characters in the play have different philosophies of language. While Willmore considers and uses language as performative and transformative instrument, his female interlocutors consider speech as a means for conveying and knowing truth. These different philosophies, or understandings of the power of language, problematize communication in the play and explain why in one and the same conversation communication can be felicitous for one interlocutor and infelicitous for the speaker.First, Austin's Speech Act Theory will be applied, and a detailed differentiation between Willmore and his female interlocutors' concepts of language will be provided. These observations will in a second step be supported by Grice's Maxims of Cooperation and Sperber and Wilson's Relevance Theory. I will then show what strategies the characters in "The Rover" develop to deal with Willmore's philosophy of language. Finally, a number of questions which this analysis raises will be identified.

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Język angielski. Spoken Language and Applied Linguistics. Cambridge University Press

Książki

Spoken Language and Applied Linguistics argues for putting spoken language right at the centre of the syllabus. It brings together a number of separate studies by the author, based on the CANCODE spoken corpus, and weaves them together to illustrate the central role the study of spoken language can play in applied linguistics. After an introduction to the corpus, the author lays out the main components of a theory of spoken genres, with corpus examples. There then follows a broad discussion of what can/should be taught about the spoken language, followed by chapters on discourse grammar and on the sometimes parallel, sometimes different, grammatical patterning of spoken and written texts. The book then turns to lexis, with a general overview of the vocabulary of spoken language and closes with a look at another central area of language teaching, speech reporting.

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Graph Theory Springer, Berlin

Książki / Literatura obcojęzyczna

Graph theory is a flourishing discipline containing a body of beautiful and powerful theorems of wide applicability. Its explosive growth in recent years is mainly due to its role as an essential structure underpinning modern applied mathematics computer science, combinatorial optimization, and operations research in particular but also to its increasing application in the more applied sciences. The versatility of graphs makes them indispensable tools in the design and analysis of communication networks, for instance. §The primary aim of this book is to present a coherent introduction to the subject, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic treatment of the theory of graphs without sacrificing its intuitive and aesthetic appeal. Commonly used proof techniques are described and illustrated, and a wealth of exercises - of varying levels of difficulty - are provided to help the reader master the techniques and reinforce their grasp of the material.§A second objective is to serve as an introduction to research in graph theory. To this end, sections on more advanced topics are included, and a number of interesting and challenging open problems are highlighted and discussed in some detail. Despite this more advanced material, the book has been organized in such a way that an introductory course on graph theory can be based on the first few sections of selected chapters.§Visit the graph theory book blog at: http://blogs.springer.com/bondyandmurty/.The primary aim of this book is to present a coherent introduction to graph theory, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic treatment of the theory of graphs without sacrificing its intuitive and aesthetic appeal. Commonly used proof techniques are described and illustrated. The book also serves as an introduction to research in graph theory.Graph theory is a flourishing discipline containing a body of beautiful and powerful theorems of wide applicability. Its explosive growth in recent years is mainly due to its role as an essential structure underpinning modern applied mathematics computer science, combinatorial optimization, and operations research in particular but also to its increasing application in the more applied sciences. The versatility of graphs makes them indispensable tools in the design and analysis of communication networks, for instance. §The primary aim of this book is to present a coherent introduction to the subject, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic treatment of the theory of graphs without sacrificing its intuitive and aesthetic appeal. Commonly used proof techniques are described and illustrated, and a wealth of exercises - of varying levels of difficulty - are provided to help the reader master the techniques and reinforce their grasp of the material.§A second objective is to serve as an introduction to research in graph theory. To this end, sections on more advanced topics are included, and a number of interesting and challenging open problems are highlighted and discussed in some detail. Despite this more advanced material, the book has been organized in such a way that an introductory course on graph theory can be based on the first few sections of selected chapters.

Sklep: Libristo.pl

Geometric Approximation Theory Springer, Berlin

Książki / Literatura obcojęzyczna

This monograph provides a comprehensive introduction to the classical geometric approximation theory, emphasizing important themes related to the theory including uniqueness, stability, and existence of elements of best approximation. It presents a number of fundamental results for both these and related problems, many of which appear for the first time in monograph form. The text also discusses the interrelations between main objects of geometric approximation theory, formulating a number of auxiliary problems for demonstration. Central ideas include the problems of existence and uniqueness of elements of best approximations as well as properties of sets including subspaces of polynomials and splines, classes of rational functions, and abstract subsets of normed linear spaces. The book begins with a brief introduction to geometric approximation theory, progressing through fundamental classical ideas and results as a basis for various approximation sets, suns, and Chebyshev systems. It concludes with a review of approximation by abstract sets and related problems, presenting novel results throughout the section. This text is suitable for both theoretical and applied viewpoints and especially researchers interested in advanced aspects of the field.

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Stochastic Portfolio Theory Springer-Verlag New York Inc.

Książki / Literatura obcojęzyczna

Stochastic portfolio theory is a mathematical methodology for constructing stock portfolios and for analyzing the effects induced on the behavior of these portfolios by changes in the distribution of capital in the market. Stochastic portfolio theory has both theoretical and practical applications: as a theoretical tool it can be used to construct examples of theoretical portfolios with specified characteristics and to determine the distributional component of portfolio return. This book is an introduction to stochastic portfolio theory for investment professionals and for students of mathematical finance. Each chapter includes a number of problems of varying levels of difficulty and a brief summary of the principal results of the chapter, without proofs.Stochastic portfolio theory is a mathematical methodology for constructing stock portfolios, analyzing the behavior of portfolios, and understanding the structure of equity markets. Stochastic portfolio theory has both theoretical and practical applications: as a theoretical tool it can be used to construct examples of theoretical portfolios with specified characteristics, and to determine the distributional component of portfolio return. On a practical level, stochastic portfolio theory has been the basis for strategies used for over a decade by the institutional equity manager INTECH, where the author has served as chief investment officer. This book is an introduction to stochastic portfolio theory for investment professionals and for students of mathematical finance. Each chapter includes a number of problems of varying levels of difficulty and a brief summary of the principal results of the chapter, without proofs.Stochastic portfolio theory is a novel mathematical framework for constructing portfolios, analyzing the behavior of portfolios, and understanding the structure of equity markets. This new theory is descriptive as opposed to normative, and is consistent with the observed behavior and structure of actual markets. Stochastic portfolio theory is important for both academics and practitioners, for it includes theoretical results of central importance to modern mathematical finance, a well as techniques that have been successfully applied to the management of actual stock portfolios for institutional investors. Of particular interest are the logarithmic representation stock prices for portfolio optimization; portfolio generating functions and the existence of arbitrage; and the use of ranked market weight processes for analyzing equity market structure.For academics, the book offers a fresh view of equity market structure as well as a coherent exposition of portfolio generating functions. Included are many open research problems related to these topics, some of which are probably appropriate for graduate dissertations.For practioners, the book offers a comprehensive exposition of the logarithmic model for portfolio optimization, as well as new methods for performance analysis and asset allocation.E. Robert Fernholz is Chief Investment Officer of INTECH, an institutional equity manager. Previously, Dr. Fernholz taught mathematics and statistics at Princeton University and the City University of New York.

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Functional Analysis, Spectral Theory, and Applications Springer International Publishing AG

Książki / Literatura obcojęzyczna

This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory.In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl's law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Tao's approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study.Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics.

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