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Author: W. Magnus Publisher: Forgotten Books ISBN: 9780331024746 Category : Languages : en Pages : 34
Book Description
Excerpt from An Infinite System of Linear Equations Arising in Diffraction Theory An infinite system of linear equations is investigated which arises in the theory of diffraction by a circular aperture. The coefficients of this system depend on a parameter a. It is proved that the solution of the system can be found to any degree of approximation by solving the first N equations for the first N unknowns, for N sufficiently large. 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: W. Magnus Publisher: Forgotten Books ISBN: 9780331024746 Category : Languages : en Pages : 34
Book Description
Excerpt from An Infinite System of Linear Equations Arising in Diffraction Theory An infinite system of linear equations is investigated which arises in the theory of diffraction by a circular aperture. The coefficients of this system depend on a parameter a. It is proved that the solution of the system can be found to any degree of approximation by solving the first N equations for the first N unknowns, for N sufficiently large. 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: W. Magnus Publisher: Forgotten Books ISBN: 9781330585191 Category : Mathematics Languages : en Pages : 34
Book Description
Excerpt from An Infinite System of Linear Equations Arising in Diffraction Theory An Infinite System of Linear Equations Arising in Diffraction Theory was written by W. Magnus. This is a 34 page book, containing 5482 words and 6 pictures. Search Inside is enabled for this title. 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: W Magnus Publisher: Palala Press ISBN: 9781378999240 Category : Languages : en Pages : 30
Book Description
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: Wilhelm Magnus Publisher: Forgotten Books ISBN: 9780331469875 Category : Mathematics Languages : en Pages : 28
Book Description
Excerpt from Infinite Determinants Associated With Hill's Equation Hill's equation plays a role in many problems of electromagnetic theory. Its simplest form, Mathieu's equation arises in the problem of the diffraction by an elliptic cylinder. Generally Speaking, Hill's equation is the differ ential equation for a one-dimensional linear oscillator with a periodic potential. In most applications, the question of the existence of a periodic solution arises. The main purpose of this investigation is to examine the analytic character of the transcendental function whose zeros determine the periodic solutions. 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: Herbert B. Keller Publisher: Forgotten Books ISBN: 9780365811121 Category : Mathematics Languages : en Pages : 38
Book Description
Excerpt from On Systems of Linear Ordinary Differential Equations The nearest approach to such a treatment is contained in the wkb method which yields an approximate solution of a linear second order equation as a sum of exponentials with variable coefficients and exponents. In some presentations of the method higher order approximations are also obtained, but it is generally not clear whether the successive approximations converge to a solution of the equation or not. For a large class of cond order equations involving a parameter in a particular way, Birkhoff and L ave settled this matter by showing that the web approximation is the leading term in an asymptotic expansion of the solution with respect to the parameter. 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: David Harriman Publisher: Penguin ISBN: 1101659971 Category : Philosophy Languages : en Pages : 350
Book Description
A groundbreaking solution to the problem of induction, based on Ayn Rand's theory of concepts. Inspired by and expanding on a series of lectures presented by Leonard Peikoff, David Harriman presents a fascinating answer to the problem of induction-the epistemological question of how we can know the truth of inductive generalizations. Ayn Rand presented her revolutionary theory of concepts in her book Introduction to Objectivist Epistemology. As Dr. Peikoff subsequently explored the concept of induction, he sought out David Harriman, a physicist who had taught philosophy, for his expert knowledge of the scientific discovery process. Here, Harriman presents the result of a collaboration between scientist and philosopher. Beginning with a detailed discussion of the role of mathematics and experimentation in validating generalizations in physics-looking closely at the reasoning of scientists such as Galileo, Kepler, Newton, Lavoisier, and Maxwell-Harriman skillfully argues that the inductive method used in philosophy is in principle indistinguishable from the method used in physics.
Author: W. Magnus
Author: W. Magnus
Author: W. Magnus
Author: W Magnus
Author: Defense Documentation Center (U.S.)
Author: Wilhelm Magnus
Author: Herbert B. Keller
Author: Walter A. Strauss
Author: Ronald Newbold Bracewell
Author: Curtis R. Vogel
Author: David Harriman