Linear Ordinary Differential Equations 1st Edition by Earl A. Coddington (PDF)

Description

Linear Ordinary Differential Equations, a text for advanced undergraduate or beginning graduate students, presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students’ understanding of calculus, linear algebra, and analysis while introducing the many applications of differential equations in science and engineering. Three recurrent themes run through the book. The methods of linear algebra are applied directly to the analysis of systems with constant or periodic coefficients and serve as a guide in the study of eigenvalues and eigenfunction expansions. The use of power series, beginning with the matrix exponential function leads to the special functions solving classical equations. Techniques from real analysis illuminate the development of series solutions, existence theorems for initial value problems, the asymptotic behavior solutions, and the convergence of eigenfunction expansions.

User’s Reviews

Editorial Reviews: Book Description A thorough development of the main topics in linear differential equations with applications, examples, and exercises illustrating each topic.

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

⭐Coddington has written two classic texts in differential equations: The Theory of Ordinary Differential Equations and An Introduction to Ordinary Differential Equations. This text, Linear Ordinary Differential Equations, doesn’t come up to these other two. Coddington died in 1991 and the copyright in my text is 1997. Apparently the coauthor, Robert Carlson, saw the work through; there is the sense that the book is riding on the coat tails of Coddington.The principle argument against the book is the number of bad typos and the primitive typesetting. As an example of the latter, on page 201, Euler’s constant is given the value 6.772… and this is incorrect. It should be .5772…. Additional typos occur in some examples that make the struggling readers confusion worse: confusing were it is supposed to be clarifying. This is a first edition text and certainly these typos could be corrected. The other annoyance with the book is the typesetting: it appears to have been generated from page proofs of a Latex printout, i.e. without polish: without bold designations of Examples, indentation schemes that help the reader, etc. Related to these issues are the absences of a list of symbols, illustrations, and answers to problems. It is little more than lecture notes at the appearance and usage level. But given that the typos were fixed and the typesetting was polished how good is the book’s content otherwise?The content is good and could provide a great Coddington trilogy. This book is more intense than the introduction and provides a good primer for the full theory book mentioned. It is in a traditional definition, examples, and theorems format with real proofs provided. It does add to the introduction text mentioned such topics as Sturm-Liouville boundary value problems and applications of Green’s function. It does drop completely non-linear differential equations, however, as its title indicates.Advice: read this book in combination with chapters from Boyce and DiPrima, reading the latter first; complain to Carlson and get him to go for a fixed second edition.

Keywords

Free Download Linear Ordinary Differential Equations 1st Edition in PDF format
Linear Ordinary Differential Equations 1st Edition PDF Free Download
Download Linear Ordinary Differential Equations 1st Edition 1987 PDF Free
Linear Ordinary Differential Equations 1st Edition 1987 PDF Free Download
Download Linear Ordinary Differential Equations 1st Edition PDF
Free Download Ebook Linear Ordinary Differential Equations 1st Edition