This book offers a simple, no-frills approach to differential equations, with some 400 exercises that can be solved without a calculating device. Each worked example includes Mathematica commands for checking results and generating graphical representations.

Differential Equations for Scientists and Engineers is a book designed with students in mind. It attempts to take a concise, simple, and no-frills approach to differential equations. The approach used in this text is to give students extensive experience in main solution techniques with a lighter emphasis on the physical interpretation of the results. With a more manageable page count than comparable titles, and over 400 exercises that can be solved without a calculating device, this book emphasizes the understanding and practice of essential topics in a succinct fashion. At the end of each worked example, the author provides the Mathematica commands that can be used to check the results and where applicable, to generate graphical representations. It can be used independently by the average student, while those continuing with the subject will develop a fundamental framework with which to pursue more advanced material. This book is designed for undergraduate students with some basic knowledge of precalculus algebra and a first course in calculus.

Autorentext

Born and educated in Romania, Prof. Constanda is Emeritus Professor from the University of Strathclyde in Glasgow, Scotland. Christian Constanda currently holds the Charles W. Oliphant Endowed Chair in Mathematical Sciences at the University of Tulsa and the directorship of the Center for Boundary Integral Methods. He has been a prolific author/editor for Birkhauser and for Springer for many years. Constanda has authored several successful texts with CRC press and other publishers as well. His most recent Springer Copernicus title "Dude, Can you Count?" has sold 848 copies to date. Other authored volumes with Springer include "Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes" (SMM). Prof. Constanda has published several edited volumes with Birkhauser.

Inhalt

1. Introduction.- 2. First Order Equations.- 3. Mathematical Models with First-Order Equations.- 4. Linear Second-Order Equations.- 4. Higher-Order Equations.- 5. Mathematical Models with Second-Order Equations.- 6. Higher-Order Linear Equations.- 7. Systems of Differential Equations.- 8. The Laplace Transformation.- 9. Series Solutions.- A. Algebra Techniques.- B. Calculus Techniques.- C. Table of Laplace Transforms.- D. The Greek Alphabet.