Effective Results And Methods For Diophantine Equations Over Finitely Generated Domains
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Effective Results And Methods For Diophantine Equations Over Finitely Generated Domains
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Author : Jan-Hendrik Evertse
language : en
Publisher: Cambridge University Press
Release Date : 2022-04-28
Effective Results And Methods For Diophantine Equations Over Finitely Generated Domains written by Jan-Hendrik Evertse 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 2022-04-28 with Mathematics categories.
Provides exceptional coverage of effective solutions for Diophantine equations over finitely generated domains.
Number Theory Analysis And Combinatorics
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Author : János Pintz
language : en
Publisher: Walter de Gruyter
Release Date : 2013-12-12
Number Theory Analysis And Combinatorics written by János Pintz 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 2013-12-12 with Mathematics categories.
Paul Turán, one of the greatest Hungarian mathematicians, was born 100 years ago, on August 18, 1910. To celebrate this occasion the Hungarian Academy of Sciences, the Alfréd Rényi Institute of Mathematics, the János Bolyai Mathematical Society and the Mathematical Institute of Eötvös Loránd University organized an international conference devoted to Paul Turán's main areas of interest: number theory, selected branches of analysis, and selected branches of combinatorics. The conference was held in Budapest, August 22-26, 2011. Some of the invited lectures reviewed different aspects of Paul Turán's work and influence. Most of the lectures allowed participants to report about their own work in the above mentioned areas of mathematics.
Discriminant Equations In Diophantine Number Theory
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Author : Jan-Hendrik Evertse
language : en
Publisher: Cambridge University Press
Release Date : 2016-11-03
Discriminant Equations In Diophantine Number Theory written by Jan-Hendrik Evertse 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 2016-11-03 with Mathematics categories.
The first comprehensive and up-to-date account of discriminant equations and their applications. For graduate students and researchers.
Discrete Quantum Walks On Graphs And Digraphs
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Author : Chris Godsil
language : en
Publisher: Cambridge University Press
Release Date : 2022-12-31
Discrete Quantum Walks On Graphs And Digraphs written by Chris Godsil 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 2022-12-31 with Computers categories.
Explore the mathematics arising from discrete quantum walks in this introduction to a rapidly developing area.
Rectifiability
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Author : Pertti Mattila
language : en
Publisher: Cambridge University Press
Release Date : 2023-01-12
Rectifiability written by Pertti Mattila 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 2023-01-12 with Mathematics categories.
Rectifiable sets, measures, currents and varifolds are foundational concepts in geometric measure theory. The last four decades have seen the emergence of a wealth of connections between rectifiability and other areas of analysis and geometry, including deep links with the calculus of variations and complex and harmonic analysis. This short book provides an easily digestible overview of this wide and active field, including discussions of historical background, the basic theory in Euclidean and non-Euclidean settings, and the appearance of rectifiability in analysis and geometry. The author avoids complicated technical arguments and long proofs, instead giving the reader a flavour of each of the topics in turn while providing full references to the wider literature in an extensive bibliography. It is a perfect introduction to the area for researchers and graduate students, who will find much inspiration for their own research inside.
Unit Equations In Diophantine Number Theory
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Author : Jan-Hendrik Evertse
language : en
Publisher: Cambridge University Press
Release Date : 2015-12-30
Unit Equations In Diophantine Number Theory written by Jan-Hendrik Evertse 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 2015-12-30 with Mathematics categories.
A comprehensive, graduate-level treatment of unit equations and their various applications.
Elliptic Regularity Theory By Approximation Methods
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Author : Edgard A. Pimentel
language : en
Publisher: Cambridge University Press
Release Date : 2022-06-30
Elliptic Regularity Theory By Approximation Methods written by Edgard A. Pimentel 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 2022-06-30 with Mathematics categories.
Presenting the basics of elliptic PDEs in connection with regularity theory, the book bridges fundamental breakthroughs – such as the Krylov–Safonov and Evans–Krylov results, Caffarelli's regularity theory, and the counterexamples due to Nadirashvili and Vlăduţ – and modern developments, including improved regularity for flat solutions and the partial regularity result. After presenting this general panorama, accounting for the subtleties surrounding C-viscosity and Lp-viscosity solutions, the book examines important models through approximation methods. The analysis continues with the asymptotic approach, based on the recession operator. After that, approximation techniques produce a regularity theory for the Isaacs equation, in Sobolev and Hölder spaces. Although the Isaacs operator lacks convexity, approximation methods are capable of producing Hölder continuity for the Hessian of the solutions by connecting the problem with a Bellman equation. To complete the book, degenerate models are studied and their optimal regularity is described.
Maurer Cartan Methods In Deformation Theory
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Author : Vladimir Dotsenko
language : en
Publisher: Cambridge University Press
Release Date : 2023-08-31
Maurer Cartan Methods In Deformation Theory written by Vladimir Dotsenko 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 2023-08-31 with Mathematics categories.
Covering an exceptional range of topics, this text provides a unique overview of the Maurer—Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new conceptual treatment of the twisting procedure, guiding the reader through various versions with the help of plentiful motivating examples for graduate students as well as researchers. Topics covered include a novel approach to the twisting procedure for operads leading to Kontsevich graph homology and a description of the twisting procedure for (homotopy) associative algebras or (homotopy) Lie algebras using the biggest deformation gauge group ever considered. The book concludes with concise surveys of recent applications in areas including higher category theory and deformation theory.
Recent Developments In Algebraic Geometry
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Author : Hamid Abban
language : en
Publisher: Cambridge University Press
Release Date : 2022-09-30
Recent Developments In Algebraic Geometry written by Hamid Abban 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 2022-09-30 with Mathematics categories.
Written in celebration of Miles Reid's 70th birthday, this illuminating volume contains 11 papers by leading mathematicians in and around algebraic geometry, broadly related to the themes and interests of Reid's varied career. Just as in Reid's own scientific output, some of the papers give comprehensive accounts of the state of the art of foundational matters, while others give expositions of subject areas or techniques in concrete terms. Reid has been one of the major expositors of algebraic geometry and a great influence on many in this field – this book hopes to inspire a new generation of graduate students and researchers in his tradition.
Bounded Cohomology And Simplicial Volume
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Author : Caterina Campagnolo
language : en
Publisher: Cambridge University Press
Release Date : 2022-11-17
Bounded Cohomology And Simplicial Volume written by Caterina Campagnolo 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 2022-11-17 with Mathematics categories.
Since their introduction by Gromov in the 1980s, the study of bounded cohomology and simplicial volume has developed into an active field connected to geometry and group theory. This monograph, arising from a learning seminar for young researchers working in the area, provides a collection of different perspectives on the subject, both classical and recent. The book's introduction presents the main definitions of the theories of bounded cohomology and simplicial volume, outlines their history, and explains their principal motivations and applications. Individual chapters then present different aspects of the theory, with a focus on examples. Detailed references to foundational papers and the latest research are given for readers wishing to dig deeper. The prerequisites are only basic knowledge of classical algebraic topology and of group theory, and the presentations are gentle and informal in order to be accessible to beginning graduate students wanting to enter this lively and topical field.