Artículos relacionados a An Elementary Treatise on Differential Equations and...
An Elementary Treatise on Differential Equations and Their Applications (Classic Reprint) - Tapa blanda
Sinopsis
Excerpt from An Elementary Treatise on Differential Equations and Their Applications
In the sections dealing with Lagrange's linear partial differential equations, two examples have been taken from M. J. M. Hill's recent paper to illustrate his methods of obtaining Special integrals. In dealing with solution in series, great prominence has been given to the method of Frobenius. One chapter is devoted to the use of the method in working actual examples. This is followed uby a much harder chapter, justifying the assumptions made and dealing with the difficult questions of convergence involved. An effort has been made to state very clearly and definitely where the difficulty lies, and what are the general ideas of the somewhat complicated proofs. It is a common experience that many students when first faced by a long epsilon-proof are so bewildered by the details that they have very little idea Of the general trend. I have to thank Mr. S. Pollard, b.a., of Trinity College, Cambridge, for his valuable help with this chapter. This is the most advanced portion of the book, and, unlike the rest of it, requires a little know~ ledge of infinite series. However, references to standard text-books have been given for every such theorem used.
"Sinopsis" puede pertenecer a otra edición de este libro.
Reseña del editor
Excerpt from An Elementary Treatise on Differential Equations and Their Applications
In the sections dealing with Lagrange's linear partial differential equations, two examples have been taken from M. J. M. Hill's recent paper to illustrate his methods of obtaining Special integrals.
In dealing with solution in series, great prominence has been given to the method of Frobenius. One chapter is devoted to the use of the method in working actual examples. This is followed uby a much harder chapter, justifying the assumptions made and dealing with the difficult questions of convergence involved. An effort has been made to state very clearly and definitely where the difficulty lies, and what are the general ideas of the somewhat complicated proofs. It is a common experience that many students when first faced by a long epsilon-proof are so bewildered by the details that they have very little idea Of the general trend. I have to thank Mr. S. Pollard, b.a., of Trinity College, Cambridge, for his valuable help with this chapter. This is the most advanced portion of the book, and, unlike the rest of it, requires a little know~ ledge of infinite series. However, references to standard text-books have been given for every such theorem used.
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.
Reseña del editor
Excerpt from An Elementary Treatise on Differential Equations and Their Applications
"The Theory of Differential Equations, said Sophus Lie, "is the most important branch of modern mathematics." The subject may be considered to occupy a central position from which different lines of development extend in many directions. If we travel along the purely analytical path, we are soon led to discuss Infinite Series, Existence Theorems and the Theory of Functions. Another leads us to the Differential Geometry of Curves and Surfaces. Between the two lies the path first discovered by Lie, leading to continuous groups of transformation and their geometrical interpretation. Diverging in another direction, we are led to the study of mechanical and electrical vibrations of all kinds and the important phenomenon of resonance. Certain partial differential equations form the starting point for the study of the conduction of heat, the transmission of electric waves, and many other branches of physics. Physical Chemistry, with its law of mass-action, is largely concerned with certain differential equations.
The object of this book is to give an account of the central parts of the subject in as simple a form as possible, suitable for those with no previous knowledge of it, and yet at the same time to point out the different directions in which it may be developed. The greater part of the text and the examples in the body of it will be found very easy. The only previous knowledge assumed is that of the elements of the differential and integral calculus and a little coordinate geometry. The miscellaneous examples at the end of the various chapters are slightly harder. They contain several theorems of minor importance, with hints that should be sufficient to enable the student to solve them. They also contain geometrical and physical applications, but great care has been taken to state the questions in such a way that no knowledge of physics is required.
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
Comprar nuevo
Ver este artículo
EUR 23,39
EUR 0,82 gastos de envío desde Estados Unidos de America a España
Destinos, gastos y plazos de envíoOtras ediciones populares con el mismo título
Resultados de la búsqueda para An Elementary Treatise on Differential Equations and...
Imagen de archivo
An Elementary Treatise on Differential Equations and Their Applications (Classic Reprint)
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330106495
Cantidad disponible: 15 disponibles
Imagen de archivo
An Elementary Treatise on Differential Equations and Their Applications (Classic Reprint)
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330106495
Cantidad disponible: 15 disponibles
Imagen del vendedor
An Elementary Treatise on Differential Equations and Their Applications
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: New. Print on Demand. Delving into the heart of mathematics, this book explores the fascinating realm of differential equations ââ â mathematical expressions that describe change and have far-reaching applications in various scientific disciplines. It serves as a comprehensive guide for readers with a foundational understanding of calculus and coordinate geometry, offering a clear and accessible introduction to this fundamental field. Emerging from the development of calculus, the study of differential equations has evolved into a cornerstone of modern mathematics, with connections to infinite series, geometry, and physics. The author skillfully navigates through the central themes, elucidating the diverse applications of differential equations in fields such as mechanics, electrical vibrations, heat conduction, and physical chemistry. Through numerous examples and exercises, the book unravels the methods for solving different types of differential equations, including those of the first order and degree, linear equations with constant coefficients, and partial differential equations. The author sheds light on concepts like the complete primitive, particular integrals, and singular solutions, providing a solid understanding of the behavior and solutions of these equations. By bridging the gap between mathematical theory and practical applications, this book offers valuable insights into the profound impact of differential equations on our understanding of the natural world and technological advancements. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781330106495_0
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
An Elementary Treatise on Differential Equations and Their Applications (Classic Reprint)
Impresión bajo demandaLibrería: Revaluation Books, Exeter, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: Brand New. 261 pages. 8.90x5.91x0.63 inches. This item is printed on demand. Nº de ref. del artículo: zk1330106490
Cantidad disponible: 1 disponibles