Read ebook Textbooks in Mathematics: Applied Differential Equations : An Introduction 18 by Vladimir A. Dobrushkin in EPUB, FB2, PDF
9781439851043 1439851042 A Contemporary Approach to Teaching Differential Equations Applied Differential Equations: An Introduction presents a contemporary treatment of ordinary differential equations (ODEs) and an introduction to partial differential equations (PDEs), including their applications in engineering and the sciences. Designed for a two-semester undergraduate course, the text offers a true alternative to books published for past generations of students. It enables students majoring in a range of fields to obtain a solid foundation in differential equations. The text covers traditional material, along with novel approaches to mathematical modeling that harness the capabilities of numerical algorithms and popular computer software packages. It contains practical techniques for solving the equations as well as corresponding codes for numerical solvers. Many examples and exercises help students master effective solution techniques, including reliable numerical approximations. This book describes differential equations in the context of applications and presents the main techniques needed for modeling and systems analysis. It teaches students how to formulate a mathematical model, solve differential equations analytically and numerically, analyze them qualitatively, and interpret the results., This text provides a comprehensive exposition of the main methods used in differential equations. It includes many applications and examples relevant to students in engineering, economics, science, and biology. The text gives detailed descriptions of theoretical treatments, provides step-by-step solutions to problems, and offers exercises ranging from simple to challenging. It also covers Mathematica(r), Maple, MATLAB(r), and noncommercial software packages. The author s website contains supplementary material to extend learning.", Written for engineering students, this text provides comprehensive exposition of main methods used in differential equations for both introductory and advanced courses. It includes many applications and examples relevant to students in engineering, economics, sciences, and biology. Exercises ranging from simple to challenging are provided for within the text. Software covered includes Mathematica, Maple, MATLAB, and noncommercial packages freely available on the internet. Detailed descriptions of theoretical treatments are given, and solutions with step-by-step instructions are provided to the problems and questions. The author's website contains supplementary material to extend learning, and a solutions manual is included, upon qualification.
9781439851043 1439851042 A Contemporary Approach to Teaching Differential Equations Applied Differential Equations: An Introduction presents a contemporary treatment of ordinary differential equations (ODEs) and an introduction to partial differential equations (PDEs), including their applications in engineering and the sciences. Designed for a two-semester undergraduate course, the text offers a true alternative to books published for past generations of students. It enables students majoring in a range of fields to obtain a solid foundation in differential equations. The text covers traditional material, along with novel approaches to mathematical modeling that harness the capabilities of numerical algorithms and popular computer software packages. It contains practical techniques for solving the equations as well as corresponding codes for numerical solvers. Many examples and exercises help students master effective solution techniques, including reliable numerical approximations. This book describes differential equations in the context of applications and presents the main techniques needed for modeling and systems analysis. It teaches students how to formulate a mathematical model, solve differential equations analytically and numerically, analyze them qualitatively, and interpret the results., This text provides a comprehensive exposition of the main methods used in differential equations. It includes many applications and examples relevant to students in engineering, economics, science, and biology. The text gives detailed descriptions of theoretical treatments, provides step-by-step solutions to problems, and offers exercises ranging from simple to challenging. It also covers Mathematica(r), Maple, MATLAB(r), and noncommercial software packages. The author s website contains supplementary material to extend learning.", Written for engineering students, this text provides comprehensive exposition of main methods used in differential equations for both introductory and advanced courses. It includes many applications and examples relevant to students in engineering, economics, sciences, and biology. Exercises ranging from simple to challenging are provided for within the text. Software covered includes Mathematica, Maple, MATLAB, and noncommercial packages freely available on the internet. Detailed descriptions of theoretical treatments are given, and solutions with step-by-step instructions are provided to the problems and questions. The author's website contains supplementary material to extend learning, and a solutions manual is included, upon qualification.