Arithmetic Differential Equations

DOWNLOAD

Download Arithmetic Differential Equations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Arithmetic Differential Equations book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Arithmetic Differential Equations

DOWNLOAD
Author : Alexandru Buium
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Arithmetic Differential Equations written by Alexandru Buium and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

For most of the book the only prerequisites are the basic facts of algebraic geometry and number theory."--BOOK JACKET.

On Finiteness In Differential Equations And Diophantine Geometry

DOWNLOAD
Author : Dana Schlomiuk
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

On Finiteness In Differential Equations And Diophantine Geometry written by Dana Schlomiuk and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

This book focuses on finiteness conjectures and results in ordinary differential equations (ODEs) and Diophantine geometry. During the past twenty-five years, much progress has been achieved on finiteness conjectures, which are the offspring of the second part of Hilbert's 16th problem. Even in its simplest case, this is one of the very few problems on Hilbert's list which remains unsolved. These results are about existence and estimation of finite bounds for the number of limit cycles occurring in certain families of ODEs. The book describes this progress, the methods used (bifurcation theory, asymptotic expansions, methods of differential algebra, or geometry) and the specific results obtained. The finiteness conjectures on limit cycles are part of a larger picture that also includes finiteness problems in other areas of mathematics, in particular those in Diophantine geometry where remarkable results were proved during the same period of time. There is a chapter devoted to finiteness results in D The volume can be used as an independent study text for advanced undergraduates and graduate students studying ODEs or applications of differential algebra to differential equations and Diophantine geometry. It is also is a good entry point for researchers interested these areas, in particular, in limit cycles of ODEs, and in finiteness problems. Contributors to the volume include Andrey Bolibrukh and Alexandru Buium. Available from the AMS by A. Buium is Arithmetic Differential Equations, as Volume 118 in the Mathematical Surveys and Monographs series.

Foundations Of Arithmetic Differential Geometry

DOWNLOAD
Author : Alexandru Buium
language : en
Publisher: American Mathematical Society
Release Date : 2023-11-20

Foundations Of Arithmetic Differential Geometry written by Alexandru Buium 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 2023-11-20 with Mathematics categories.

The aim of this book is to introduce and develop an arithmetic analogue of classical differential geometry. In this new geometry the ring of integers plays the role of a ring of functions on an infinite dimensional manifold. The role of coordinate functions on this manifold is played by the prime numbers. The role of partial derivatives of functions with respect to the coordinates is played by the Fermat quotients of integers with respect to the primes. The role of metrics is played by symmetric matrices with integer coefficients. The role of connections (respectively curvature) attached to metrics is played by certain adelic (respectively global) objects attached to the corresponding matrices. One of the main conclusions of the theory is that the spectrum of the integers is “intrinsically curved”; the study of this curvature is then the main task of the theory. The book follows, and builds upon, a series of recent research papers. A significant part of the material has never been published before.

Geometry And Arithmetic Around Euler Partial Differential Equations

DOWNLOAD
Author : R.-P. Holzapfel
language : en
Publisher: Springer
Release Date : 1986-08-31

Geometry And Arithmetic Around Euler Partial Differential Equations written by R.-P. Holzapfel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-08-31 with Mathematics categories.

A Treatise On Differential Equations

DOWNLOAD
Author : George Boole
language : en
Publisher:
Release Date : 1877

A Treatise On Differential Equations written by George Boole and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1877 with Mathematics categories.

Geometry And Arithmetic

DOWNLOAD
Author : Rolf-Peter Holzapfel
language : en
Publisher:
Release Date : 1986

Geometry And Arithmetic written by Rolf-Peter Holzapfel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Differential equations, Partial categories.

Crc Handbook Of Lie Group Analysis Of Differential Equations

DOWNLOAD
Author : Nail H. Ibragimov
language : en
Publisher: CRC Press
Release Date : 1994-11-28

Crc Handbook Of Lie Group Analysis Of Differential Equations written by Nail H. Ibragimov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-11-28 with Mathematics categories.

Volume 2 offers a unique blend of classical results of Sophus Lie with new, modern developments and numerous applications which span a period of more than 100 years. As a result, this reference is up to date, with the latest information on the group theoretic methods used frequently in mathematical physics and engineering. Volume 2 is divided into three parts. Part A focuses on relevant definitions, main algorithms, group classification schemes for partial differential equations, and multifaceted possibilities offered by Lie group theoretic philosophy. Part B contains the group analysis of a variety of mathematical models for diverse natural phenomena. It tabulates symmetry groups and solutions for linear equations of mathematical physics, classical field theory, viscous and non-Newtonian fluids, boundary layer problems, Earth sciences, elasticity, plasticity, plasma theory (Vlasov-Maxwell equations), and nonlinear optics and acoustics. Part C offers an English translation of Sophus Lie's fundamental paper on the group classification and invariant solutions of linear second-order equations with two independent variables. This will serve as a concise, practical guide to the group analysis of partial differential equations.

Galois Dream Group Theory And Differential Equations

DOWNLOAD
Author : Michio Kuga
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Galois Dream Group Theory And Differential Equations written by Michio Kuga 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 2012-12-06 with Mathematics categories.

First year, undergraduate, mathematics students in Japan have for many years had the opportunity of a unique experience---an introduction, at an elementary level, to some very advanced ideas in mathematics from one of the leading mathematicians of the world. English reading students now have the opportunity to enjoy this lively presentation, from elementary ideas to cartoons to funny examples, and to follow the mind of an imaginative and creative mathematician into a world of enduring mathematical creations.

Differential Equations And The Stokes Phenomenon

DOWNLOAD
Author : B L J Braaksma
language : en
Publisher: World Scientific
Release Date : 2002-12-10

Differential Equations And The Stokes Phenomenon written by B L J Braaksma and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-10 with Mathematics categories.

This volume is the record of a workshop on differential equations and the Stokes phenomenon, held in May 2001 at the University of Groningen. It contains expanded versions of most of the lectures given at the workshop. To a large extent, both the workshop and the book may be regarded as a sequel to a conference held in Groningen in 1995 which resulted in the book The Stokes Phenomenon and Hilbert's 16th Problem (B L J Braaksma, G K Immink and M van der Put, editors), also published by World Scientific (1996).Both books offer a snapshot concerning the state of the art in the areas of differential, difference and q-difference equations. Apart from the asymptotics of solutions, Painlevé properties and the algebraic theory, new topics addressed in the second book include arithmetic theory of linear equations, and Galois theory and Lie symmetries of nonlinear differential equations.

Ordinary Differential Equations

DOWNLOAD
Author : Morris Tenenbaum
language : en
Publisher: Courier Corporation
Release Date : 1985-10-01

Ordinary Differential Equations written by Morris Tenenbaum and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-10-01 with Mathematics categories.

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.