Ordinary Differential Equations With An Introduction To Lie S Theory Of The Group Of One Parameter
DOWNLOAD
Download Ordinary Differential Equations With An Introduction To Lie S Theory Of The Group Of One Parameter PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Ordinary Differential Equations With An Introduction To Lie S Theory Of The Group Of One Parameter 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
Ordinary Differential Equations With An Introduction To Lie S Theory Of The Group Of One Parameter
DOWNLOAD
Author : James Morris Page
language : en
Publisher: Legare Street Press
Release Date : 2023-07-18
Ordinary Differential Equations With An Introduction To Lie S Theory Of The Group Of One Parameter written by James Morris Page and has been published by Legare Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-18 with categories.
Explore the fascinating world of differential equations with this comprehensive guide. Featuring detailed discussions of ordinary differential equations, as well as an introduction to Lies theory of the group of one parameter, this book is the perfect resource for anyone studying or working in the field of mathematics or physics. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Ordinary Differential Equations
DOWNLOAD
Author : James Morris Page
language : en
Publisher: Forgotten Books
Release Date : 2015-06-16
Ordinary Differential Equations written by James Morris Page and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-16 with Mathematics categories.
Excerpt from Ordinary Differential Equations: With an Introduction to Lie's Theory of the Group of One Parameter This elementary text-book on Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure Mathematics. On account of the elementary character of the book, only the simpler portions of the subject have been touched upon at all; and much care has been taken to make all the developments as clear as possible - every important step being illustrated by easy examples. In one material respect, this book differs from the older text-books upon the subject in the English language: namely, in the methods employed. Ever since the discovery of the Infinitesimal Calculus, the integration of differential equations has been one of the weightiest problems that have attracted the attention of mathematicians. It is not possible to develop a method of integration for all differential equations; but it was found possible to give theories of integration for certain classes of these equations; for instance, for the homogeneous or for the linear, differential equation of the first order. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Lectures On The Theory Of Group Properties Of Differential Equations
DOWNLOAD
Author : L V Ovsyannikov
language : en
Publisher: World Scientific Publishing Company
Release Date : 2013-05-20
Lectures On The Theory Of Group Properties Of Differential Equations written by L V Ovsyannikov and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-20 with Mathematics categories.
These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models.
An Introduction To The Lie Theory Of One Parameter Groups
DOWNLOAD
Author : Abraham Cohen
language : en
Publisher:
Release Date : 1911
An Introduction To The Lie Theory Of One Parameter Groups written by Abraham Cohen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1911 with Mathematics categories.
Ordinary Differential Equations An Elementary Text Book With An Introduction To Lie S Theory Of The Group Of One Parameter
DOWNLOAD
Author : James Morris Page
language : en
Publisher: Legare Street Press
Release Date : 2022-10-27
Ordinary Differential Equations An Elementary Text Book With An Introduction To Lie S Theory Of The Group Of One Parameter written by James Morris Page and has been published by Legare Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-27 with History categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Ordinary Differential Equations
DOWNLOAD
Author : James Morris Page
language : en
Publisher: Forgotten Books
Release Date : 2017-12
Ordinary Differential Equations written by James Morris Page and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12 with Mathematics categories.
Excerpt from Ordinary Differential Equations: With an Introduction to Lie's Theory of the Group of One Parameter This elementary text-book on Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure Mathematics. On account of the elementary character of the book, only the simpler portions of the subject have been touched upon at all; and much care has been taken to make all the developments as clear as possible every important step being illustrated by easy examples. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Applications Of Lie S Theory Of Ordinary And Partial Differential Equations
DOWNLOAD
Author : L Dresner
language : en
Publisher: CRC Press
Release Date : 1998-01-01
Applications Of Lie S Theory Of Ordinary And Partial Differential Equations written by L Dresner and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Science categories.
Lie's group theory of differential equations unifies the many ad hoc methods known for solving differential equations and provides powerful new ways to find solutions. The theory has applications to both ordinary and partial differential equations and is not restricted to linear equations. Applications of Lie's Theory of Ordinary and Partial Differential Equations provides a concise, simple introduction to the application of Lie's theory to the solution of differential equations. The author emphasizes clarity and immediacy of understanding rather than encyclopedic completeness, rigor, and generality. This enables readers to quickly grasp the essentials and start applying the methods to find solutions. The book includes worked examples and problems from a wide range of scientific and engineering fields.
Applications Of Lie Groups To Differential Equations
DOWNLOAD
Author : Peter J. Olver
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Applications Of Lie Groups To Differential Equations written by Peter J. Olver 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.
This book is devoted to explaining a wide range of applications of con tinuous symmetry groups to physically important systems of differential equations. Emphasis is placed on significant applications of group-theoretic methods, organized so that the applied reader can readily learn the basic computational techniques required for genuine physical problems. The first chapter collects together (but does not prove) those aspects of Lie group theory which are of importance to differential equations. Applications covered in the body of the book include calculation of symmetry groups of differential equations, integration of ordinary differential equations, including special techniques for Euler-Lagrange equations or Hamiltonian systems, differential invariants and construction of equations with pre scribed symmetry groups, group-invariant solutions of partial differential equations, dimensional analysis, and the connections between conservation laws and symmetry groups. Generalizations of the basic symmetry group concept, and applications to conservation laws, integrability conditions, completely integrable systems and soliton equations, and bi-Hamiltonian systems are covered in detail. The exposition is reasonably self-contained, and supplemented by numerous examples of direct physical importance, chosen from classical mechanics, fluid mechanics, elasticity and other applied areas.
Ordinary Differential Equation
DOWNLOAD
Author : James Morris 1864-1936 Page
language : en
Publisher: Wentworth Press
Release Date : 2016-08-28
Ordinary Differential Equation written by James Morris 1864-1936 Page and has been published by Wentworth Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-28 with History categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elementary Lie Group Analysis And Ordinary Differential Equations
DOWNLOAD
Author : Nailʹ Khaĭrullovich Ibragimov
language : en
Publisher: John Wiley & Sons
Release Date : 1999-05-04
Elementary Lie Group Analysis And Ordinary Differential Equations written by Nailʹ Khaĭrullovich Ibragimov and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-04 with Mathematics categories.
Lie group analysis, based on symmetry and invariance principles, is the only systematic method for solving nonlinear differential equations analytically. One of Lie's striking achievements was the discovery that the majority of classical devices for integration of special types of ordinary differential equations could be explained and deduced by his theory. Moreover, this theory provides a universal tool for tackling considerable numbers of differential equations when other means of integration fail. * This is the first modern text on ordinary differential equations where the basic integration methods are derived from Lie group theory * Includes a concise and self contained introduction to differential equations * Easy to follow and comprehensive introduction to Lie group analysis * The methods described in this book have many applications The author provides students and their teachers with a flexible text for undergraduate and postgraduate courses, spanning a variety of topics from the basic theory through to its many applications. The philosophy of Lie groups has become an essential part of the mathematical culture for anyone investigating mathematical models of physical, engineering and natural problems.