عنوان

Lectures on differential equations /

شابک

1470453649

شابک

9781470453640

شابک اشتباه

1470451735

شابک اشتباه

9781470451738

عنوان اصلي

Lectures on differential equations /

نام عام مواد

[Book]

نام نخستين پديدآور

Philip L. Korman

محل نشرو پخش و غیره

Providence, Rhode Island :

نام ناشر، پخش کننده و غيره

MAA Press, an imprint of the American Mathematical Society,

تاریخ نشرو بخش و غیره

[2019]

تاریخ نشرو بخش و غیره

©2019

نام خاص و کميت اثر

1 online resource (xii, 399 pages) :

ساير جزييات

illustrations

عنوان فروست

AMS/MAA textbooks ;

مشخصه جلد

vol. 54

متن يادداشت

Includes bibliographical references and index

متن يادداشت

First-order equations -- Second-order equations -- Using infinite series to solve differential equations -- The Laplace transform -- Linear systems of differential equations -- Nonlinear systems -- The Fourier series and boundary value problems -- Elementary theory of PDE -- Numerical computations

بدون عنوان

0

متن يادداشت

Lectures on Differential Equations provides a clear and concise presentation of differential equations for undergraduates and beginning graduate students. There is more than enough material here for a year-long course. In fact, the text developed from the author's notes for three courses: the undergraduate introduction to ordinary differential equations, the undergraduate course in Fourier analysis and partial differential equations, and a first graduate course in differential equations. The first four chapters cover the classical syllabus for the undergraduate ODE course leavened by a modern awareness of computing and qualitative methods. The next two chapters contain a well-developed exposition of linear and nonlinear systems with a similarly fresh approach. The final two chapters cover boundary value problems, Fourier analysis, and the elementary theory of PDEs. The author makes a concerted effort to use plain language and to always start from a simple example or application. The presentation should appeal to, and be readable by, students, especially students in engineering and science. Without being excessively theoretical, the book does address a number of unusual topics: Massera's theorem, Lyapunov's inequality, the isoperimetric inequality, numerical solutions of nonlinear boundary value problems, and more. There are also some new approaches to standard topics including a rethought presentation of series solutions and a nonstandard, but more intuitive, proof of the existence and uniqueness theorem. The collection of problems is especially rich and contains many very challenging exercises. Philip Korman is professor of mathematics at the University of Cincinnati. He is the author of over one hundred research articles in differential equations and the monograph Global Solution Curves for Semilinear Elliptic Equations. Korman has served on the editorial boards of Communications on Applied Nonlinear Analysis, Electronic Journal of Differential Equations, SIAM Review, and Differential Equations and Applications

عنوان

Lectures on differential equations.

شماره استاندارد بين المللي کتاب و موسيقي

9781470451738

موضوع مستند نشده

Differential equations, Textbooks.

موضوع مستند نشده

Differential equations.

شماره

ويراست

شماره رده

نشانه اثر

شماره رده

کد سيستم

مستند نام اشخاص تاييد نشده

Korman, Philip,1951-

تاريخ عمليات

20200823025903.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y