A Panorama Of Discrepancy Theory

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A Panorama of Discrepancy Theory

William Chen,Anand Srivastav,Giancarlo Travaglini
A Panorama of Discrepancy Theory Book PDF

Author : William Chen,Anand Srivastav,Giancarlo Travaglini
Publisher : Springer
Page : 695 pages
File Size : 47,6 Mb
Release : 2014-10-07
Category : Mathematics
ISBN : 9783319046969

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A Panorama of Discrepancy Theory by William Chen,Anand Srivastav,Giancarlo Travaglini Pdf

This is the first work on Discrepancy Theory to show the present variety of points of view and applications covering the areas Classical and Geometric Discrepancy Theory, Combinatorial Discrepancy Theory and Applications and Constructions. It consists of several chapters, written by experts in their respective fields and focusing on the different aspects of the theory. Discrepancy theory concerns the problem of replacing a continuous object with a discrete sampling and is currently located at the crossroads of number theory, combinatorics, Fourier analysis, algorithms and complexity, probability theory and numerical analysis. This book presents an invitation to researchers and students to explore the different methods and is meant to motivate interdisciplinary research.

Discrepancy Theory

Dmitriy Bilyk,Josef Dick,Friedrich Pillichshammer
Discrepancy Theory Book PDF

Author : Dmitriy Bilyk,Josef Dick,Friedrich Pillichshammer
Publisher : Walter de Gruyter GmbH & Co KG
Page : 225 pages
File Size : 47,7 Mb
Release : 2020-01-20
Category : Mathematics
ISBN : 9783110652581

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Discrepancy Theory by Dmitriy Bilyk,Josef Dick,Friedrich Pillichshammer Pdf

The contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration, probabilistic discrepancy bounds, dispersion of point sets, pair correlation of sequences, integer points in convex bodies, discrepancy with respect to geometric shapes other than rectangular boxes, and also open problems in discrepany theory.

Number Theory, Fourier Analysis and Geometric Discrepancy

Giancarlo Travaglini
Number Theory Fourier Analysis and Geometric Discrepancy Book PDF

Author : Giancarlo Travaglini
Publisher : Cambridge University Press
Page : 251 pages
File Size : 42,8 Mb
Release : 2014-06-12
Category : Mathematics
ISBN : 9781107044036

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Number Theory, Fourier Analysis and Geometric Discrepancy by Giancarlo Travaglini Pdf

Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.

Handbook of Discrete and Computational Geometry

Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman
Handbook of Discrete and Computational Geometry Book PDF

Author : Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman
Publisher : CRC Press
Page : 1928 pages
File Size : 55,5 Mb
Release : 2017-11-22
Category : Computers
ISBN : 9781498711425

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Handbook of Discrete and Computational Geometry by Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman Pdf

The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.

Introduction to Quasi-Monte Carlo Integration and Applications

Gunther Leobacher,Friedrich Pillichshammer
Introduction to Quasi Monte Carlo Integration and Applications Book PDF

Author : Gunther Leobacher,Friedrich Pillichshammer
Publisher : Springer
Page : 206 pages
File Size : 51,5 Mb
Release : 2014-09-12
Category : Mathematics
ISBN : 9783319034256

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Introduction to Quasi-Monte Carlo Integration and Applications by Gunther Leobacher,Friedrich Pillichshammer Pdf

This textbook introduces readers to the basic concepts of quasi-Monte Carlo methods for numerical integration and to the theory behind them. The comprehensive treatment of the subject with detailed explanations comprises, for example, lattice rules, digital nets and sequences and discrepancy theory. It also presents methods currently used in research and discusses practical applications with an emphasis on finance-related problems. Each chapter closes with suggestions for further reading and with exercises which help students to arrive at a deeper understanding of the material presented. The book is based on a one-semester, two-hour undergraduate course and is well-suited for readers with a basic grasp of algebra, calculus, linear algebra and basic probability theory. It provides an accessible introduction for undergraduate students in mathematics or computer science.

Monte Carlo and Quasi-Monte Carlo Methods

Art B. Owen,Peter W. Glynn
Monte Carlo and Quasi Monte Carlo Methods Book PDF

Author : Art B. Owen,Peter W. Glynn
Publisher : Springer
Page : 479 pages
File Size : 48,7 Mb
Release : 2018-07-03
Category : Computers
ISBN : 9783319914367

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Monte Carlo and Quasi-Monte Carlo Methods by Art B. Owen,Peter W. Glynn Pdf

This book presents the refereed proceedings of the Twelfth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing that was held at Stanford University (California) in August 2016. These biennial conferences are major events for Monte Carlo and quasi-Monte Carlo researchers. The proceedings include articles based on invited lectures as well as carefully selected contributed papers on all theoretical aspects and applications of Monte Carlo and quasi-Monte Carlo methods. Offering information on the latest developments in these very active areas, this book is an excellent reference resource for theoreticians and practitioners interested in solving high-dimensional computational problems, arising in particular, in finance, statistics, computer graphics and the solution of PDEs.

Monte Carlo and Quasi-Monte Carlo Methods

Bruno Tuffin,Pierre L'Ecuyer
Monte Carlo and Quasi Monte Carlo Methods Book PDF

Author : Bruno Tuffin,Pierre L'Ecuyer
Publisher : Springer Nature
Page : 533 pages
File Size : 46,6 Mb
Release : 2020-05-01
Category : Computers
ISBN : 9783030434656

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Monte Carlo and Quasi-Monte Carlo Methods by Bruno Tuffin,Pierre L'Ecuyer Pdf

​This book presents the refereed proceedings of the 13th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing that was held at the University of Rennes, France, and organized by Inria, in July 2018. These biennial conferences are major events for Monte Carlo and quasi-Monte Carlo researchers. The proceedings include articles based on invited lectures as well as carefully selected contributed papers on all theoretical aspects and applications of Monte Carlo and quasi-Monte Carlo methods. Offering information on the latest developments in these very active areas, this book is an excellent reference resource for theoreticians and practitioners interested in solving high-dimensional computational problems, arising, in particular, in finance, statistics and computer graphics.

Combinatorial Image Analysis

Reneta P. Barneva,Valentin E. Brimkov,Giorgio Nordo
Combinatorial Image Analysis Book PDF

Author : Reneta P. Barneva,Valentin E. Brimkov,Giorgio Nordo
Publisher : Springer Nature
Page : 338 pages
File Size : 50,9 Mb
Release : 2023-01-01
Category : Computers
ISBN : 9783031236129

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Combinatorial Image Analysis by Reneta P. Barneva,Valentin E. Brimkov,Giorgio Nordo Pdf

This book constitutes the refereed proceedings of the 201st International Workshop on Combinatorial Image Analysis, IWCIA 2022, held in Messina, Italy, in July 2022. The 20 full papers presented were carefully reviewed and selected from 24 submissions. The papers are grouped into four sections. The first one consists of one invited talk. The second section contains seven papers devoted to digital geometry and topology. The third part consists of six papers discussing picture languages. The last part, including six papers, is devoted to various applications. We believe that many of these papers would be of interest to a broader audience, including researchers in scientific areas such as computer vision, shape modeling, pattern analysis and recognition, and computer graphics.

Parallel Problem Solving from Nature – PPSN XVI

Thomas Bäck,Mike Preuss,André Deutz,Hao Wang,Carola Doerr,Michael Emmerich,Heike Trautmann
Parallel Problem Solving from Nature PPSN XVI Book PDF

Author : Thomas Bäck,Mike Preuss,André Deutz,Hao Wang,Carola Doerr,Michael Emmerich,Heike Trautmann
Publisher : Springer Nature
Page : 753 pages
File Size : 41,6 Mb
Release : 2020-09-02
Category : Computers
ISBN : 9783030581121

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Parallel Problem Solving from Nature – PPSN XVI by Thomas Bäck,Mike Preuss,André Deutz,Hao Wang,Carola Doerr,Michael Emmerich,Heike Trautmann Pdf

This two-volume set LNCS 12269 and LNCS 12270 constitutes the refereed proceedings of the 16th International Conference on Parallel Problem Solving from Nature, PPSN 2020, held in Leiden, The Netherlands, in September 2020. The 99 revised full papers were carefully reviewed and selected from 268 submissions. The topics cover classical subjects such as automated algorithm selection and configuration; Bayesian- and surrogate-assisted optimization; benchmarking and performance measures; combinatorial optimization; connection between nature-inspired optimization and artificial intelligence; genetic and evolutionary algorithms; genetic programming; landscape analysis; multiobjective optimization; real-world applications; reinforcement learning; and theoretical aspects of nature-inspired optimization.

Monte Carlo and Quasi-Monte Carlo Methods

Ronald Cools,Dirk Nuyens
Monte Carlo and Quasi Monte Carlo Methods Book PDF

Author : Ronald Cools,Dirk Nuyens
Publisher : Springer
Page : 624 pages
File Size : 53,8 Mb
Release : 2016-06-13
Category : Mathematics
ISBN : 9783319335070

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Monte Carlo and Quasi-Monte Carlo Methods by Ronald Cools,Dirk Nuyens Pdf

This book presents the refereed proceedings of the Eleventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing that was held at the University of Leuven (Belgium) in April 2014. These biennial conferences are major events for Monte Carlo and quasi-Monte Carlo researchers. The proceedings include articles based on invited lectures as well as carefully selected contributed papers on all theoretical aspects and applications of Monte Carlo and quasi-Monte Carlo methods. Offering information on the latest developments in these very active areas, this book is an excellent reference resource for theoreticians and practitioners interested in solving high-dimensional computational problems, arising, in particular, in finance, statistics and computer graphics.

Monte Carlo and Quasi-Monte Carlo Methods 2012

Josef Dick,Frances Y. Kuo,Gareth W. Peters,Ian H. Sloan
Monte Carlo and Quasi Monte Carlo Methods 2012 Book PDF

Author : Josef Dick,Frances Y. Kuo,Gareth W. Peters,Ian H. Sloan
Publisher : Springer Science & Business Media
Page : 680 pages
File Size : 44,8 Mb
Release : 2013-12-05
Category : Mathematics
ISBN : 9783642410956

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Monte Carlo and Quasi-Monte Carlo Methods 2012 by Josef Dick,Frances Y. Kuo,Gareth W. Peters,Ian H. Sloan Pdf

This book represents the refereed proceedings of the Tenth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing that was held at the University of New South Wales (Australia) in February 2012. These biennial conferences are major events for Monte Carlo and the premiere event for quasi-Monte Carlo research. The proceedings include articles based on invited lectures as well as carefully selected contributed papers on all theoretical aspects and applications of Monte Carlo and quasi-Monte Carlo methods. The reader will be provided with information on latest developments in these very active areas. The book is an excellent reference for theoreticians and practitioners interested in solving high-dimensional computational problems arising, in particular, in finance, statistics and computer graphics.

Numbers and Figures

Giancarlo Travaglini
Numbers and Figures Book PDF

Author : Giancarlo Travaglini
Publisher : American Mathematical Society
Page : 304 pages
File Size : 46,5 Mb
Release : 2023-05-31
Category : Mathematics
ISBN : 9781470472566

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Numbers and Figures by Giancarlo Travaglini Pdf

One of the great charms of mathematics is uncovering unexpected connections. In Numbers and Figures, Giancarlo Travaglini provides six conversations that do exactly that by talking about several topics in elementary number theory and some of their connections to geometry, calculus, and real-life problems such as COVID-19 vaccines or fiscal frauds. Each conversation is in two parts—an introductory essay which provides a gentle introduction to the topic and a second section that delves deeper and requires study by the reader. The topics themselves are extremely appealing and include, for example, Pick's theorem, Simpson's paradox, Farey sequences, the Frobenius problem, and Benford's Law. Numbers and Figures will be a useful resource for college faculty teaching Elementary Number Theory or Calculus. The chapters are largely independent and could make for nice course-ending projects or even lead-ins to high school or undergraduate research projects. The whole book would make for an enjoyable semester-long independent reading course. Faculty will find it entertaining bedtime reading and, last but not least, readers more generally will be interested in this book if they miss the accuracy and imagination found in their high school and college math courses.

Probabilistic Diophantine Approximation

József Beck
Probabilistic Diophantine Approximation Book PDF

Author : József Beck
Publisher : Springer
Page : 497 pages
File Size : 48,5 Mb
Release : 2014-10-06
Category : Mathematics
ISBN : 9783319107417

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Probabilistic Diophantine Approximation by József Beck Pdf

This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals. It covers classical material on the subject as well as many new results developed by the author over the past decade. A range of ideas from other areas of mathematics are brought to bear with surprising connections to topics such as formulae for class numbers, special values of L-functions, and Dedekind sums. Care is taken to elaborate difficult proofs by motivating major steps and accompanying them with background explanations, enabling the reader to learn the theory and relevant techniques. Written by one of the acknowledged experts in the field, Probabilistic Diophantine Approximation is presented in a clear and informal style with sufficient detail to appeal to both advanced students and researchers in number theory.

Lattice Rules

Josef Dick,Peter Kritzer,Friedrich Pillichshammer
Lattice Rules Book PDF

Author : Josef Dick,Peter Kritzer,Friedrich Pillichshammer
Publisher : Springer Nature
Page : 584 pages
File Size : 51,8 Mb
Release : 2022-08-24
Category : Mathematics
ISBN : 9783031099519

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Lattice Rules by Josef Dick,Peter Kritzer,Friedrich Pillichshammer Pdf

Lattice rules are a powerful and popular form of quasi-Monte Carlo rules based on multidimensional integration lattices. This book provides a comprehensive treatment of the subject with detailed explanations of the basic concepts and the current methods used in research. This comprises, for example, error analysis in reproducing kernel Hilbert spaces, fast component-by-component constructions, the curse of dimensionality and tractability, weighted integration and approximation problems, and applications of lattice rules.

Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan

Josef Dick,Frances Y. Kuo,Henryk Woźniakowski
Contemporary Computational Mathematics A Celebration of the 80th Birthday of Ian Sloan Book PDF

Author : Josef Dick,Frances Y. Kuo,Henryk Woźniakowski
Publisher : Springer
Page : 1309 pages
File Size : 54,7 Mb
Release : 2018-05-23
Category : Mathematics
ISBN : 9783319724560

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Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan by Josef Dick,Frances Y. Kuo,Henryk Woźniakowski Pdf

This book is a tribute to Professor Ian Hugh Sloan on the occasion of his 80th birthday. It consists of nearly 60 articles written by international leaders in a diverse range of areas in contemporary computational mathematics. These papers highlight the impact and many achievements of Professor Sloan in his distinguished academic career. The book also presents state of the art knowledge in many computational fields such as quasi-Monte Carlo and Monte Carlo methods for multivariate integration, multi-level methods, finite element methods, uncertainty quantification, spherical designs and integration on the sphere, approximation and interpolation of multivariate functions, oscillatory integrals, and in general in information-based complexity and tractability, as well as in a range of other topics. The book also tells the life story of the renowned mathematician, family man, colleague and friend, who has been an inspiration to many of us. The reader may especially enjoy the story from the perspective of his family, his wife, his daughter and son, as well as grandchildren, who share their views of Ian. The clear message of the book is that Ian H. Sloan has been a role model in science and life.