http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
"This is a book is for the first undergraduate course. It includes the usual material in roughly the standard order, although it has a few uniqe chapters and sections such as a short chapter on elementary methods involving separation of variables for PDEs. The book is very elementary and easy to follow. The author avoids the emphasis on abstract vector spaces which tends to confuse students. Later chapters include topics not usually covered are complete. The book includes the famous Poincare Bendixon theorem. While the author emphasizes techniques in this book, it is not an instruction manual. Its intent is to make the reader fluent in the use of ordinary differential equations."--Provided by publisher
Chapter 1 Some Prerequisite Topics -- part 1 Part I First Order Scalar Equations -- chapter 2 The Idea of a Differential Equation -- chapter 3 Methods -- part 2 Part II Scalar Linear Differential Equations, Methods -- chapter 4 Homogeneous Linear Equations -- chapter 5 Nonhomogeneous Equations -- chapter 6 Laplace Transform Methods -- part 3 Part III Series Methods -- chapter 7 A Review of Power Series -- chapter 8 Power Series Methods -- part 4 Part IV First Order Systems -- chapter 9 Methods for First Order Linear Systems -- chapter 10 First Order Linear Systems, Theory -- chapter 11 Theory of Ordinary Differential Equations -- chapter 12 Equilibrium Points and Limit Cycles -- part 5 Part V Partial Differential Equations -- chapter 13 Boundary Value Problems, Fourier Series -- chapter 14 Some Partial Differential Equations.