Ordinary Differential Equations (Undergraduate Texts in Mathematics) 2012th Edition by William A. Adkins (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is an excellent text for people looking to practically understand ordinary differential equations (ODEs) without being bogged down by esoteric and abstract proofs of theorems. While the author covers the major theorems related to ODEs and their proofs, his emphasis is on the practical use of ODEs and their solution. It is an excellent text for those who are more interested in the value of ODEs in the world and how to use them rather than abstract discussions of other texts.

⭐I have been searching for a book like this for a very long time. For anyone interested in solving real world problems without having to rely on complex software and numerical methods, this book is the Holy Grail. Laplace Transforms are so useful in all manor of subjects that use Ordinary Differential Equations. From the text it is evident that the authors of this book realise this. They use enough mathematical rigour to get the message across, and not get bogged down in pure maths. Can’t recommend this book highly enough.

⭐William Adkins is an absolute baller. His approach to Differential Equations is unparalledled. Why waste your time solving differential equations in a tedious and ineffcient manner when you could use the techniques of the ingenious Pierre-Simon Laplace?Inexpensive and effective text for learning Diff Eq.

⭐Book itself is great but as a new book it came with the back broken and not attached to the book itself

⭐A mathematical book is worthless if the reader is unable to read the mathematical text.

⭐It is assigned for my class by my teacher, it is a good book

⭐Not being able to read any of the equations, the book is pretty much useless and a waste of money.

⭐I found this book to be very readable and student-friendly. It is a every useful text for engineers and scientists as the Laplace Transform is used extensively as a vital tool to solve ordinary differential equations. I strongly recommend this text for a first course in ordinary differential equations for undergraduate students.

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