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Ordinary Differential Equations Undergraduate Texts in Mathematics by William A. Adkins, Mark G. Davidson is a nonfiction available to read on EtoBox.

What is Ordinary Differential Equations Undergraduate Texts in Mathematics about?

Main subject categories: • Ordinary Differential Equations • First Order Differential Equations • Second Order Differential Equations • Laplace Transforms • Power Series Methods • Linear SystemsMathematics Subject Classification (2010): • 34-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equationsUnlike 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

Who reads Ordinary Differential Equations Undergraduate Texts in Mathematics?

Author

William A. Adkins, Mark G. Davidson

Publisher

Springer, Springer Science+Business Media

Published

2012

Language

EN

ISBN

9781461436171

Category

nonfiction

Subjects

Science, Mathematics, Differential Equations

Updated

2026-03-24