On Beatty Sets And Some Generalisations Thereof

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On Beatty Sets And Some Generalisations Thereof

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Author : Marc Technau
language : en
Publisher: BoD – Books on Demand
Release Date : 2018-08-24

On Beatty Sets And Some Generalisations Thereof written by Marc Technau and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-24 with Mathematics categories.

Beatty sets (also called Beatty sequences) have appeared as early as 1772 in the astronomical studies of Johann III Bernoulli as a tool for easing manual calculations and - as Elwin Bruno Christoffel pointed out in 1888 - lend themselves to exposing intricate properties of the real irrationals. Since then, numerous researchers have explored a multitude of arithmetic properties of Beatty sets; the interrelation between Beatty sets and modular inversion, as well as Beatty sets and the set of rational primes, being the central topic of this book. The inquiry into the relation to rational primes is complemented by considering a natural generalisation to imaginary quadratic number fields.

Analytic Number Theory For Beginners

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Author : Prapanpong Pongsriiam
language : en
Publisher: American Mathematical Society
Release Date : 2023-06-02

Analytic Number Theory For Beginners written by Prapanpong Pongsriiam and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-02 with Mathematics categories.

This new edition of Analytic Number Theory for Beginners presents a friendly introduction to analytic number theory for both advanced undergraduate and beginning graduate students, and offers a comfortable transition between the two levels. The text starts with a review of elementary number theory and continues on to present less commonly covered topics such as multiplicative functions, the floor function, the use of big $O$, little $o$, and Vinogradov notation, as well as summation formulas. Standard advanced topics follow, such as the Dirichlet $L$-function, Dirichlet's Theorem for primes in arithmetic progressions, the Riemann Zeta function, the Prime Number Theorem, and, new in this second edition, sieve methods and additive number theory. The book is self-contained and easy to follow. Each chapter provides examples and exercises of varying difficulty and ends with a section of notes which include a chapter summary, open questions, historical background, and resources for further study. Since many topics in this book are not typically covered at such an accessible level, Analytic Number Theory for Beginners is likely to fill an important niche in today's selection of titles in this field.

The Sage Sourcebook Of Advanced Data Analysis Methods For Communication Research

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Author : Andrew F. Hayes
language : en
Publisher: SAGE
Release Date : 2008

The Sage Sourcebook Of Advanced Data Analysis Methods For Communication Research written by Andrew F. Hayes and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Language Arts & Disciplines categories.

A must-have volume for every communication researcher's library, The SAGE Sourcebook of Advanced Data Analysis Methods for Communication Research provides an introductory treatment of various advanced statistical methods applied to research in the field of communication. Written by authors who use these methods in their own research, each chapter gives a non-technical overview of what the method is and how it can be used to answer communication-related questions or aide the researcher dealing with difficult data problems. Students and faculty interested in diving into a new statistical topic—such as latent growth modeling, multilevel modeling, propensity scoring, or time series analysis—will find each chapter an excellent springboard for acquiring the background needed to jump into more advanced, technical readings.

Games Of No Chance 5

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Author : Urban Larsson
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-09

Games Of No Chance 5 written by Urban Larsson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-09 with Computers categories.

Surveys the state-of-the-art in combinatorial game theory, that is games not involving chance or hidden information.

The Structure Of The World

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Author : Steven French
language : en
Publisher: OUP Oxford
Release Date : 2014-01-30

The Structure Of The World written by Steven French and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-30 with Philosophy categories.

In The Structure of the World, Steven French articulates and defends the bold claim that there are no objects. At the most fundamental level, modern physics presents us with a world of structures and making sense of that view is the central aim of the increasingly widespread position known as structural realism. Drawing on contemporary work in metaphysics and philosophy of science, as well as the 'forgotten' history of structural realism itself, French attempts to further ground and develop this position. He argues that structural realism offers the best way of balancing our need to accommodate the results of modern science with our desire to arrive at an appropriately informed understanding of the world that science presents to us. Covering not only the realism-antirealism debate, the nature of representation, and the relationship between metaphysics and science, The Structure of the World defends a form of eliminativism about objects that sets laws and symmetry principles at the heart of ontology. In place of a world of microscopic objects banging into one another and governed by the laws of physics, it offers a world of laws and symmetries, on which determinate physical properties are dependent. In presenting this account, French also tackles the distinction between mathematical and physical structures, the nature of laws, and causality in the context of modern physics, and he concludes by exploring the extent to which structural realism can be extended into chemistry and biology.

Mechanics And Mathematics Of Crystals

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Author : Jerald L. Ericksen
language : en
Publisher: World Scientific
Release Date : 2005

Mechanics And Mathematics Of Crystals written by Jerald L. Ericksen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.

This book is a unique and comprehensive collection of pioneering contributions to the mechanics of crystals by J L Ericksen, a prominent and leading contributor to the study of the mechanics and mathematics of crystalline solids over the past 35 years.It presents a splendid corpus of research papers that cover areas on crystal symmetry, constitutive equations, defects and phase transitions — all topics of current importance to a broad group of workers in the field.The volume thus provides in one place material that is frequently referenced by numerous researchers on crystals across a spectrum of activities in areas of continuum mechanics, applied mathematics, engineering and materials science.Each group of papers or chapters in the book is preceded by a summary introduction that describes how the papers on that topic fit together, and in which Ericksen sketches the context of each paper and shares with the reader his thinking and insightfulness in writing it. The volume, edited by internationally renowned scholars whose works in finite elasticity and continuum mechanics have appeared in a variety of books and prestigious journals published over the past four decades, also includes a very interesting brief autobiography by Ericksen. In it he describes his early life in Oregon, his wartime experiences, his student days and postgraduate study, his introduction to scientific work, and what motivated him in his research. An English translation and revision of the first paper in this volume, originally published in Russian, appears here for the first time.

The Riemann Zeta Function

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Author : Anatoly A. Karatsuba
language : en
Publisher: Walter de Gruyter
Release Date : 2011-05-03

The Riemann Zeta Function written by Anatoly A. Karatsuba and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-03 with Mathematics categories.

No detailed description available for "The Riemann Zeta-Function".

Uniform Distribution Of Sequences

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Author : L. Kuipers
language : en
Publisher: Courier Corporation
Release Date : 2012-05-24

Uniform Distribution Of Sequences written by L. Kuipers and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-24 with Mathematics categories.

The theory of uniform distribution began with Hermann Weyl's celebrated paper of 1916. In later decades, the theory moved beyond its roots in diophantine approximations to provide common ground for topics as diverse as number theory, probability theory, functional analysis, and topological algebra. This book summarizes the theory's development from its beginnings to the mid-1970s, with comprehensive coverage of both methods and their underlying principles. A practical introduction for students of number theory and analysis as well as a reference for researchers in the field, this book covers uniform distribution in compact spaces and in topological groups, in addition to examinations of sequences of integers and polynomials. Notes at the end of each section contain pertinent bibliographical references and a brief survey of additional results. Exercises range from simple applications of theorems to proofs of propositions that expand upon results stated in the text.

The Mechanics And Thermodynamics Of Continuous Media

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Author : Miroslav Silhavy
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27

The Mechanics And Thermodynamics Of Continuous Media written by Miroslav Silhavy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Science categories.

This book presents the nonlinear theories of continuum thermomechanics. Through out 1 emphasize issues that are foundational in nature, and seek results common to materials of arbitrary symmetry. The central part of the book deals with thermoelastic bodies with heat conduction and viscosity, including the inviscid or ideal dissipation less bodies. A surprising variety of phenomena can be modeled within this frame work. Moreover, the main ideas can be transferred into more complicated theories. At present, the major challenge to the non linear thermoelasticity is posed by phase transformations with changes in symmetry. 1. W. Gibbs' immensely inftuen tiaI treatise On the equilibrium of heterogeneous substances has provided a highly successful theory of phase transitions in ftuids. Gibbs brought the view that the ther modynamics is not only the theory of heat, but also a theory of equilibrium, with the of the book is an extension of main tool the minimum principles. A large portion Gibbs' ideas to bodies of general symmetry by the methods of the calculus of varia tions. The interplay between the convexity properties of the stored energy functions, the resulting equations, and the physics of the phenomena is a leading theme.

Qualitative Researching With Text Image And Sound

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Author : Paul Atkinson
language : en
Publisher: SAGE
Release Date : 2000-06-22

Qualitative Researching With Text Image And Sound written by Paul Atkinson and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-22 with Social Science categories.

`This excellent text will introduce advanced students - and remind senior researchers - of the availability of a broad range of techniques available for the systematic analysis of social data that is not numeric. It makes the key point that neither quantitative nor qualitative methods are interpretive and at the same time demonstrates once and for all that neither a constructivist perspective nor a qualitative approach needs to imply abandonment of rigor. That the chapters are written by different authors makes possible a depth of expertise within each that is unusually strong' - Susanna Hornig Priest, Texas A&M University; Author of `Doing Media Research' Qualitative Researching with Text, Image and Sound off