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Author : Maxime Bôcher
Publisher :
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.L/5 ( download)
Download or read book Regular Points of Linear Differential Equations of the Second Order written by Maxime Bôcher and published by . This book was released on 1896 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maxime Bôcher
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (422 download)
Download or read book Regular Points of Linear Differential Equations of the Second Order written by Maxime Bôcher and published by . This book was released on 1972 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maxine Bocher
Publisher : Sagwan Press
ISBN 13 : 9781296941826
Total Pages : 24 pages
Book Rating : 4.9/5 (418 download)
Download or read book Regular Points of Linear Differential Equations of the Second Order written by Maxine Bocher and published by Sagwan Press. This book was released on 2015-08-22 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Gerhard Kristensson
Publisher : Springer Science & Business Media
ISBN 13 : 1441970207
Total Pages : 225 pages
Book Rating : 4.4/5 (419 download)
Download or read book Second Order Differential Equations written by Gerhard Kristensson and published by Springer Science & Business Media. This book was released on 2010-08-05 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second Order Differential Equations presents a classical piece of theory concerning hypergeometric special functions as solutions of second-order linear differential equations. The theory is presented in an entirely self-contained way, starting with an introduction of the solution of the second-order differential equations and then focusingon the systematic treatment and classification of these solutions. Each chapter contains a set of problems which help reinforce the theory. Some of the preliminaries are covered in appendices at the end of the book, one of which provides an introduction to Poincaré-Perron theory, and the appendix also contains a new way of analyzing the asymptomatic behavior of solutions of differential equations. This textbook is appropriate for advanced undergraduate and graduate students in Mathematics, Physics, and Engineering interested in Ordinary and Partial Differntial Equations. A solutions manual is available online.
Author : Maxime Bocher
Publisher : Forgotten Books
ISBN 13 : 9780266602538
Total Pages : 24 pages
Book Rating : 4.6/5 (25 download)
Download or read book Regular Points of Differential Equations of the Second Order (Classic Reprint) written by Maxime Bocher and published by Forgotten Books. This book was released on 2017-10-22 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Regular Points of Differential Equations of the Second Order We shall find it convenient to postpone the proof of this extremely important theorem until later, and to go on at once to the following, Definition A regular point of the equation (1) is a point at which p does not become infinite to an order higher than the first or q to an order higher than the second. It will be seen that all ordinary points and some singular points are included among the regular points. The other singular points at which p becomes infinite to an order higher than the first or q to an order higher than the second or at which both of these things happen we shall naturally speak of as irregular points. In the following sections we shall obtain in the neighborhood of regular points solutions of (1) in the form of series and in the course of this work we shall obtain as a special case the fundamental theorem above given concern ing non-singular points. 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.
Author : Otto Dunkel
Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.E/5 ( download)
Download or read book Regular Singular Points of a System of Homogeneous Linear Differential Equations of the First Order written by Otto Dunkel and published by . This book was released on 1902 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Moseley Murphy
Publisher : Courier Corporation
ISBN 13 : 0486485919
Total Pages : 466 pages
Book Rating : 4.4/5 (864 download)
Download or read book Ordinary Differential Equations and Their Solutions written by George Moseley Murphy and published by Courier Corporation. This book was released on 2011-01-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This treatment presents most of the methods for solving ordinary differential equations and systematic arrangements of more than 2,000 equations and their solutions. The material is organized so that standard equations can be easily found. Plus, the substantial number and variety of equations promises an exact equation or a sufficiently similar one. 1960 edition.
Author : Refaat El Attar
Publisher : Lulu.com
ISBN 13 : 1411639200
Total Pages : 186 pages
Book Rating : 4.4/5 (116 download)
Download or read book Ordinary Differential Equations written by Refaat El Attar and published by Lulu.com. This book was released on 2005-06-03 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extended introduction to ordinary differential equations. This book can be used as self study material. It contains a little bit of theory and lot of solved examples as well as tons of exercises to test your ability to solve problems using the techniques presented in the text.
Author : Edward L. Ince
Publisher : Courier Corporation
ISBN 13 : 0486158217
Total Pages : 580 pages
Book Rating : 4.4/5 (861 download)
Download or read book Ordinary Differential Equations written by Edward L. Ince and published by Courier Corporation. This book was released on 2012-04-27 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; much more. "Highly recommended" — Electronics Industries.
Author : A. Chakrabarti
Publisher : New Age International
ISBN 13 : 9788122408805
Total Pages : 172 pages
Book Rating : 4.4/5 (88 download)
Download or read book Elements Of Ordinary Differential Equations And Special Functions written by A. Chakrabarti and published by New Age International. This book was released on 2006 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary Differential Equations And Special Functions Form A Central Part In Many Branches Of Physics And Engineering. A Large Number Of Books Already Exist In These Areas And Informations Are Therefore Available In A Scattered Form. The Present Book Tries To Bring Out Some Of The Most Important Concepts Associated With Linear Ordinary Differential Equations And The Special Functions Of Frequent Occurrence, In A Rather Elementary Form.The Methods Of Obtaining Series Solution Of Second Order Linear Ordinary Differential Equations Near An Ordinary Point As Well As Near A Regular Singular Point Have Been Explained In An Elegant Manner And, As Applications Of These Methods, The Special Functions Of Hermite And Bessel Have Been Dealt With.The Special Functions Of Legendre And Laguerre Have Also Been Discussed Briefly. An Appendix Is Prepared To Deal With Other Special Functions Such As The Beta Function, The Gamma Function, The Hypergeometric Functions And The Chebyshev Polynomials In A Short Form.The Topics Involving The Existence Theory And The Eigenvalue Problems Have Also Been Discussed In The Book To Create Motivation For Further Studies In The Subject.Each Chapter Is Supplemented With A Number Of Worked Out Examples As Well As A Number Of Problems To Be Handled For Better Understanding Of The Subject. R Contains A List Of Sixteen Important Books Forming The Bibliography.In This Second Edition The Text Has Been Thoroughly Revised.
Author : Albert L. Rabenstein
Publisher : Academic Press
ISBN 13 : 1483226220
Total Pages : 444 pages
Book Rating : 4.4/5 (832 download)
Download or read book Introduction to Ordinary Differential Equations written by Albert L. Rabenstein and published by Academic Press. This book was released on 2014-05-12 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Ordinary Differential Equations is a 12-chapter text that describes useful elementary methods of finding solutions using ordinary differential equations. This book starts with an introduction to the properties and complex variable of linear differential equations. Considerable chapters covered topics that are of particular interest in applications, including Laplace transforms, eigenvalue problems, special functions, Fourier series, and boundary-value problems of mathematical physics. Other chapters are devoted to some topics that are not directly concerned with finding solutions, and that should be of interest to the mathematics major, such as the theorems about the existence and uniqueness of solutions. The final chapters discuss the stability of critical points of plane autonomous systems and the results about the existence of periodic solutions of nonlinear equations. This book is great use to mathematicians, physicists, and undergraduate students of engineering and the science who are interested in applications of differential equation.
Author : Garrett Birkhoff
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 354 pages
Book Rating : 4.:/5 (319 download)
Download or read book Ordinary Differential Equations written by Garrett Birkhoff and published by John Wiley & Sons. This book was released on 1978 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: A carefully revised edition of the well-respected ODE text, whose unique treatment provides a smooth transition to critical understanding of proofs of basic theorems. First chapters present a rigorous treatment of background material; middle chapters deal in detail with systems of nonlinear differential equations; final chapters are devoted to the study of second-order linear differential equations. The power of the theory of ODE is illustrated throughout by deriving the properties of important special functions, such as Bessel functions, hypergeometric functions, and the more common orthogonal polynomials, from their defining differential equations and boundary conditions. Contains several hundred exercises. Prerequisite is a first course in ODE.
Author : A. K. Nandakumaran
Publisher : Cambridge University Press
ISBN 13 : 110834416X
Total Pages : 352 pages
Book Rating : 4.1/5 (83 download)
Download or read book Ordinary Differential Equations written by A. K. Nandakumaran and published by Cambridge University Press. This book was released on 2017-05-11 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a clear, logical and concise manner, this comprehensive resource allows students to quickly understand the key principles, techniques and applications of ordinary differential equations. Important topics including first and second order linear equations, initial value problems and qualitative theory are presented in separate chapters. The concepts of two point boundary value problems, physical models and first order partial differential equations are discussed in detail. The text uses tools of calculus and real analysis to get solutions in explicit form. While discussing first order linear systems, linear algebra techniques are used. The real-life applications are interspersed throughout the book to invoke reader's interest. The methods and tricks to solve numerous mathematical problems with sufficient derivations and explanation are provided. The proofs of theorems are explained for the benefit of the readers.
Author : Robert W. McKelvey
Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.:/5 (89 download)
Download or read book The Solutions of Second Order Linear Ordinary Differential Equations about a Turning Point of the Second Order written by Robert W. McKelvey and published by . This book was released on 1954 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Erugin
Publisher : Academic Press
ISBN 13 : 0080955355
Total Pages : 295 pages
Book Rating : 4.0/5 (89 download)
Download or read book Linear Systems of Ordinary Differential Equations, with Periodic and Quasi-Periodic Coefficients written by Erugin and published by Academic Press. This book was released on 1966-01-01 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Systems of Ordinary Differential Equations, with Periodic and Quasi-Periodic Coefficients
Author : Albert L. Rabenstein
Publisher : Academic Press
ISBN 13 : 1483263851
Total Pages : 537 pages
Book Rating : 4.4/5 (832 download)
Download or read book Introduction to Ordinary Differential Equations written by Albert L. Rabenstein and published by Academic Press. This book was released on 2014-05-10 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Ordinary Differential Equations, Second Edition provides an introduction to differential equations. This book presents the application and includes problems in chemistry, biology, economics, mechanics, and electric circuits. Organized into 12 chapters, this edition begins with an overview of the methods for solving single differential equations. This text then describes the important basic properties of solutions of linear differential equations and explains higher-order linear equations. Other chapters consider the possibility of representing the solutions of certain linear differential equations in terms of power series. This book discusses as well the important properties of the gamma function and explains the stability of solutions and the existence of periodic solutions. The final chapter deals with the method for the construction of a solution of the integral equation and explains how to establish the existence of a solution of the initial value system. This book is a valuable resource for mathematicians, students, and research workers.
Author : W. Cox
Publisher : Butterworth-Heinemann
ISBN 13 : 0340632038
Total Pages : 237 pages
Book Rating : 4.3/5 (46 download)
Download or read book Ordinary Differential Equations written by W. Cox and published by Butterworth-Heinemann. This book was released on 1996-01-05 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a sound foundation in the underlying principles of ordinary differential equations. Important concepts are worked through in detail and the student is encouraged to develop much of the routine material themselves.
