An Elementary Treatise on Partial Differential Equations
Author : George Biddell Airy
Publisher :
Page : 84 pages
File Size : 36,27 MB
Release : 1866
Category : Mathematics
ISBN :
Author : George Biddell Airy
Publisher :
Page : 84 pages
File Size : 36,27 MB
Release : 1866
Category : Mathematics
ISBN :
Author : George Biddell Airy
Publisher :
Page : 124 pages
File Size : 41,70 MB
Release : 1873
Category :
ISBN :
Author : Hth Piaggio
Publisher : Andesite Press
Page : 310 pages
File Size : 43,36 MB
Release : 2017-08-24
Category : History
ISBN : 9781376156201
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 : Aftab Alam
Publisher : Cambridge University Press
Page : 392 pages
File Size : 35,98 MB
Release : 2022-09-30
Category : Mathematics
ISBN : 1009276654
Partial differential equations are a vital part of any course in pure or applied mathematics. This book will be invaluable to anyone looking for a lucid but comprehensive introduction to PDEs. Designed to strike a balance between theory and practical problems, it covers all major methods as well as their historical backgrounds, theoretical rigour, and geometric significance. The book is divided into three parts. It starts with basic topics like ordinary differential equations, multivariable calculus, and geometry. This is followed by important techniques to solve certain types of partial differential equations. The last part is devoted to first, second, and higher-order PDEs. The chapters have been arranged to help students develop their knowledge gradually and systematically. Each method is discussed through theoretical descriptions in the form of theorems followed by illustrative problems to help the readers. Finally, numerous solved examples and practice problems helps the student learn to apply this knowledge.
Author : Henry Thomas Herbert Piaggio
Publisher :
Page : 278 pages
File Size : 22,49 MB
Release : 1921
Category : Differential equations
ISBN :
Author : Henry Thomas Herbert Piaggio
Publisher :
Page : 312 pages
File Size : 14,74 MB
Release : 1960
Category : Differential equations
ISBN :
Author : George Biddell Airy
Publisher : BoD – Books on Demand
Page : 78 pages
File Size : 37,4 MB
Release : 2023-07-15
Category : Fiction
ISBN : 3368180975
Reprint of the original, first published in 1873.
Author : William Elwood Byerly
Publisher : Courier Corporation
Page : 308 pages
File Size : 23,67 MB
Release : 2014-03-05
Category : Mathematics
ISBN : 0486159906
Originally published over a century ago, this work remains among the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics. The subsequent growth of science into a diverse range of specialties has enhanced the value of this classic, whose thorough, basic treatment presents material that is assumed in many other studies but seldom available in such concise form. The development of functions, series, and their differential equations receives detailed explanations, and throughout the text, theory is applied to practical problems, with the solutions fully worked out. In addition, 190 problems, many with hints, are included. 1893 edition. Appendix of 6 tables.
Author : Qing Han
Publisher : American Mathematical Soc.
Page : 305 pages
File Size : 36,81 MB
Release : 2011
Category : Mathematics
ISBN : 0821852558
This is a textbook for an introductory graduate course on partial differential equations. Han focuses on linear equations of first and second order. An important feature of his treatment is that the majority of the techniques are applicable more generally. In particular, Han emphasizes a priori estimates throughout the text, even for those equations that can be solved explicitly. Such estimates are indispensable tools for proving the existence and uniqueness of solutions to PDEs, being especially important for nonlinear equations. The estimates are also crucial to establishing properties of the solutions, such as the continuous dependence on parameters. Han's book is suitable for students interested in the mathematical theory of partial differential equations, either as an overview of the subject or as an introduction leading to further study.
Author : David. Bleecker
Publisher : CRC Press
Page : 765 pages
File Size : 17,63 MB
Release : 2018-01-18
Category : Mathematics
ISBN : 1351078534
Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained source. The reader will learn how to use PDEs to predict system behaviour from an initial state of the system and from external influences, and enhance the success of endeavours involving reasonably smooth, predictable changes of measurable quantities. This text enables the reader to not only find solutions of many PDEs, but also to interpret and use these solutions. It offers 6000 exercises ranging from routine to challenging. The palatable, motivated proofs enhance understanding and retention of the material. Topics not usually found in books at this level include but examined in this text: the application of linear and nonlinear first-order PDEs to the evolution of population densities and to traffic shocks convergence of numerical solutions of PDEs and implementation on a computer convergence of Laplace series on spheres quantum mechanics of the hydrogen atom solving PDEs on manifolds The text requires some knowledge of calculus but none on differential equations or linear algebra.