Ordinary Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Ordinary Differential Equations by Mark G. Davidson, William A. Adkins, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Mark G. Davidson, William A. Adkins ISBN: 9781461436188
Publisher: Springer New York Publication: July 1, 2012
Imprint: Springer Language: English
Author: Mark G. Davidson, William A. Adkins
ISBN: 9781461436188
Publisher: Springer New York
Publication: July 1, 2012
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book ActivEpi Companion Textbook by Mark G. Davidson, William A. Adkins
Cover of the book Pediatric Neuro-Ophthalmology by Mark G. Davidson, William A. Adkins
Cover of the book Crime in the Art and Antiquities World by Mark G. Davidson, William A. Adkins
Cover of the book Ultrasonography of the Abdomen by Mark G. Davidson, William A. Adkins
Cover of the book The Care and Management of Spinal Cord Injuries by Mark G. Davidson, William A. Adkins
Cover of the book Percutaneous Venous Blood Sampling in Endocrine Diseases by Mark G. Davidson, William A. Adkins
Cover of the book Gross Anatomy by Mark G. Davidson, William A. Adkins
Cover of the book Environmental Policy is Social Policy – Social Policy is Environmental Policy by Mark G. Davidson, William A. Adkins
Cover of the book Phosphorus by Mark G. Davidson, William A. Adkins
Cover of the book Atlas of Fetal Sectional Anatomy by Mark G. Davidson, William A. Adkins
Cover of the book GIS-based Analysis of Coastal Lidar Time-Series by Mark G. Davidson, William A. Adkins
Cover of the book Computer-Assisted Medical Decision Making by Mark G. Davidson, William A. Adkins
Cover of the book Handbook of Survey Methodology for the Social Sciences by Mark G. Davidson, William A. Adkins
Cover of the book Radiology of the Heart by Mark G. Davidson, William A. Adkins
Cover of the book Selenium Assessment in Aquatic Ecosystems by Mark G. Davidson, William A. Adkins
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy