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Ordinary Differential Equations - 9781461436171
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Item specifics
- Condition
- Book Title
- Ordinary Differential Equations
- ISBN
- 9781461436171
- Publication Year
- 2012
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Ordinary Differential Equations
- Item Height
- 235mm
- Publisher
- Springer-Verlag New York Inc.
- Item Width
- 155mm
- Subject
- Mathematics
- Item Weight
- 1382g
- Number of Pages
- 799 Pages
About this product
Product Information
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.
Product Identifiers
Publisher
Springer-Verlag New York Inc.
ISBN-13
9781461436171
eBay Product ID (ePID)
115975187
Product Key Features
Publication Name
Ordinary Differential Equations
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2012
Type
Textbook
Number of Pages
799 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Item Weight
1382g
Additional Product Features
Series Title
Undergraduate Texts in Mathematics
Country/Region of Manufacture
United States
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