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| Author | : Stanley J. Farlow |
| Publisher | : Courier Corporation |
| Total Pages | : 642 |
| Release | : 2012-10-23 |
| Genre | : Mathematics |
| ISBN | : 0486135136 |
This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.
| Author | : E. C. Zachmanoglou |
| Publisher | : Courier Corporation |
| Total Pages | : 434 |
| Release | : 2012-04-20 |
| Genre | : Mathematics |
| ISBN | : 048613217X |
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
| Author | : Harold Cohen |
| Publisher | : World Scientific |
| Total Pages | : 1039 |
| Release | : 2020-07-28 |
| Genre | : Mathematics |
| ISBN | : 9813276673 |
This book is for students in a first course in ordinary differential equations. The material is organized so that the presentations begin at a reasonably introductory level. Subsequent material is developed from this beginning. As such, readers with little experience can start at a lower level, while those with some experience can use the beginning material as a review, or skip this part to proceed to the next level.The book contains methods of approximation to solutions of various types of differential equations with practical applications, which will serve as a guide to programming so that such differential equations can be solved numerically with the use of a computer. Students who intend to pursue a major in engineering, physical sciences, or mathematics will find this book useful.
| Author | : M. Braun |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 733 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 1475749694 |
For the past several years the Division of Applied Mathematics at Brown University has been teaching an extremely popular sophomore level differential equations course. The immense success of this course is due primarily to two fac tors. First, and foremost, the material is presented in a manner which is rigorous enough for our mathematics and ap plied mathematics majors, but yet intuitive and practical enough for our engineering, biology, economics, physics and geology majors. Secondly, numerous case histories are given of how researchers have used differential equations to solve real life problems. This book is the outgrowth of this course. It is a rigorous treatment of differential equations and their appli cations, and can be understood by anyone who has had a two semester course in Calculus. It contains all the material usually covered in a one or two semester course in differen tial equations. In addition, it possesses the following unique features which distinguish it from other textbooks on differential equations.
| Author | : William E. Boyce |
| Publisher | : John Wiley & Sons |
| Total Pages | : 344 |
| Release | : 1970 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : hal smith |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 178 |
| Release | : 2010-09-29 |
| Genre | : Mathematics |
| ISBN | : 1441976469 |
This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to get to the applications quickly. The author has used preliminary notes in teaching such a course at Arizona State University over the past two years. This book focuses on the key tools necessary to understand the applications literature involving delay equations and to construct and analyze mathematical models involving delay differential equations. The book begins with a survey of mathematical models involving delay equations.
| Author | : Carmen Chicone |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 569 |
| Release | : 2008-04-08 |
| Genre | : Mathematics |
| ISBN | : 0387226230 |
Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second semester, these ideas can be expanded by introducing more advanced concepts and applications. A central theme in the book is the use of Implicit Function Theorem, while the latter sections of the book introduce the basic ideas of perturbation theory as applications of this Theorem. The book also contains material differing from standard treatments, for example, the Fiber Contraction Principle is used to prove the smoothness of functions that are obtained as fixed points of contractions. The ideas introduced in this section can be extended to infinite dimensions.
| Author | : Morris Tenenbaum |
| Publisher | : Courier Corporation |
| Total Pages | : 852 |
| Release | : 1985-10-01 |
| Genre | : Mathematics |
| ISBN | : 0486649407 |
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.
| Author | : Stephen L. Campbell |
| Publisher | : Princeton University Press |
| Total Pages | : 445 |
| Release | : 2011-10-14 |
| Genre | : Mathematics |
| ISBN | : 1400841321 |
Many textbooks on differential equations are written to be interesting to the teacher rather than the student. Introduction to Differential Equations with Dynamical Systems is directed toward students. This concise and up-to-date textbook addresses the challenges that undergraduate mathematics, engineering, and science students experience during a first course on differential equations. And, while covering all the standard parts of the subject, the book emphasizes linear constant coefficient equations and applications, including the topics essential to engineering students. Stephen Campbell and Richard Haberman--using carefully worded derivations, elementary explanations, and examples, exercises, and figures rather than theorems and proofs--have written a book that makes learning and teaching differential equations easier and more relevant. The book also presents elementary dynamical systems in a unique and flexible way that is suitable for all courses, regardless of length.
| Author | : Bill Goodwine |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 762 |
| Release | : 2010-11-11 |
| Genre | : Mathematics |
| ISBN | : 1441979190 |
This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering curricula. This text provides a streamlined and efficient treatment of material normally covered in three courses. Ultimately, engineering students study mathematics in order to be able to solve problems within the engineering realm. Engineering Differential Equations: Theory and Applications guides students to approach the mathematical theory with much greater interest and enthusiasm by teaching the theory together with applications. Additionally, it includes an abundance of detailed examples. Appendices include numerous C and FORTRAN example programs. This book is intended for engineering undergraduate students, particularly aerospace and mechanical engineers and students in other disciplines concerned with mechanical systems analysis and control. Prerequisites include basic and advanced calculus with an introduction to linear algebra.
