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Author: Wilhelm Magnus Publisher: Courier Corporation ISBN: 0486150291 Category : Mathematics Languages : en Pages : 148
Book Description
This two-part treatment explains basic theory and details, including oscillatory solutions, intervals of stability and instability, discriminants, and coexistence. Particular attention to stability problems and coexistence of periodic solutions. 1966 edition.
Author: Wilhelm Magnus Publisher: Courier Corporation ISBN: 0486150291 Category : Mathematics Languages : en Pages : 148
Book Description
This two-part treatment explains basic theory and details, including oscillatory solutions, intervals of stability and instability, discriminants, and coexistence. Particular attention to stability problems and coexistence of periodic solutions. 1966 edition.
Author: W Magnus Publisher: Legare Street Press ISBN: 9781019479254 Category : Languages : en Pages : 0
Book Description
This book provides a thorough treatment of Hill's equation, a classical differential equation that arises in many areas of physics and mathematics. The authors present various methods for solving this equation, including numerical techniques and asymptotic expansions. 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.
Author: W. Magnus Publisher: Nabu Press ISBN: 9781295230501 Category : Languages : en Pages : 102
Book Description
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Author: Alberto Cabada Publisher: Academic Press ISBN: 0128041269 Category : Mathematics Languages : en Pages : 254
Book Description
Maximum Principles for the Hill's Equation focuses on the application of these methods to nonlinear equations with singularities (e.g. Brillouin-bem focusing equation, Ermakov-Pinney,...) and for problems with parametric dependence. The authors discuss the properties of the related Green’s functions coupled with different boundary value conditions. In addition, they establish the equations’ relationship with the spectral theory developed for the homogeneous case, and discuss stability and constant sign solutions. Finally, reviews of present classical and recent results made by the authors and by other key authors are included. Evaluates classical topics in the Hill’s equation that are crucial for understanding modern physical models and non-linear applications Describes explicit and effective conditions on maximum and anti-maximum principles Collates information from disparate sources in one self-contained volume, with extensive referencing throughout
Author: W. Magnus Publisher: Forgotten Books ISBN: 9781330108284 Category : Mathematics Languages : en Pages : 107
Book Description
Excerpt from Hill's Equation, II, Vol. 2: Transformations, Approximation, Examples It is the purpose of the present, second, report on Hill's equation to provide the reader with a few ready made transformation and approximation formulas which may be useful to anyone working on a particular problem. Also; we shall discuss some examples in detail, partly because they illustrate the general theory and partly because they appear frequently in applications. This section on the coexistence problem contains a little more than mere examples. It may be considered as a complete discussion of those results which can be obtained from the investigation of three term recurrence relations. A third part of this report will contain applications of the theory to problems of physics and engineering. 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: Walter A. Strauss Publisher: John Wiley & Sons ISBN: 0470054565 Category : Mathematics Languages : en Pages : 467
Book Description
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Author: W. Magnus Publisher: Forgotten Books ISBN: 9780265238172 Category : Mathematics Languages : en Pages : 106
Book Description
Excerpt from Hill's Equation, Vol. 2: Transformations, Approximation, Examples A particular problem. Also, we shall discuss some examples in detail, partly because they illustrate the general theory and partly because they appear frequently in applications. The section on the coexistence problem contains a little more than mere examples. It may be considered as a complete discussion of those results which can be. 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: Wilhelm Magnus
Author: Wilhelm Magnus
Author: W Magnus
Author: W. Magnus
Author: Alberto Cabada
Author: W. Magnus
Author: Wilhelm Magnus
Author: Stanley Winkler
Author: Walter A. Strauss
Author: W. Magnus
Author: Wilhelm Magnus