Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations. Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equations with constant coefficients, second order linear differential equations with variable coefficients, power series methods, and linear systems of differential equations. It is assumed that the reader has had the equivalent of a one-year course in college calculus.
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
00024965
شماره انبار
9781461436171
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9781461436171
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Differential equations.
موضوع مستند نشده
Mathematics.
موضوع مستند نشده
Differential equations.
مقوله موضوعی
موضوع مستند نشده
MAT007000
موضوع مستند نشده
PBKJ
رده بندی ديویی
شماره
515/
.
352
ويراست
23
رده بندی کنگره
شماره رده
QA371
نشانه اثر
.
A35
2012
سایر رده بندی ها
شماره رده
Online
Book
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )