Differential Equations: Theory and Applications
Title | Differential Equations: Theory and Applications PDF eBook |
Author | David Betounes |
Publisher | Springer Science & Business Media |
Pages | 686 |
Release | 2013-06-29 |
Genre | Mathematics |
ISBN | 1475749716 |
This book provides a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical systems as important applications of the theory. The text is written to be used in the traditional way or in a more applied way. The accompanying CD contains Maple worksheets for the exercises, and special Maple code for performing various tasks. In addition to its use in a traditional one or two semester graduate course in mathematics, the book is organized to be used for interdisciplinary courses in applied mathematics, physics, and engineering.
Differential Equations: Theory and Applications
Title | Differential Equations: Theory and Applications PDF eBook |
Author | David Betounes |
Publisher | Springer Science & Business Media |
Pages | 702 |
Release | 2001 |
Genre | Differential equations |
ISBN | 9780387951409 |
This book provides a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical systems as important applications of the theory. The text is written to be used in the traditional way or in a more applied way. The accompanying CD contains Maple worksheets for the exercises, and special Maple code for performing various tasks. In addition to its use in a traditional one or two semester graduate course in mathematics, the book is organized to be used for interdisciplinary courses in applied mathematics, physics, and engineering.
Engineering Differential Equations
Title | Engineering Differential Equations PDF eBook |
Author | Bill Goodwine |
Publisher | Springer Science & Business Media |
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.
Differential Equations
Title | Differential Equations PDF eBook |
Author | Raymond M. Redheffer |
Publisher | Jones & Bartlett Learning |
Pages | 744 |
Release | 1991 |
Genre | Mathematics |
ISBN | 9780867202007 |
Theory and Applications of Partial Functional Differential Equations
Title | Theory and Applications of Partial Functional Differential Equations PDF eBook |
Author | Jianhong Wu |
Publisher | Springer Science & Business Media |
Pages | 441 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461240506 |
Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns. The aim of this book is to provide an introduction of the qualitative theory and applications of these equations from the dynamical systems point of view. The required prerequisites for that book are at a level of a graduate student. The style of presentation will be appealing to people trained and interested in qualitative theory of ordinary and functional differential equations.
Differential Equations: Techniques, Theory, and Applications
Title | Differential Equations: Techniques, Theory, and Applications PDF eBook |
Author | Barbara D. MacCluer |
Publisher | American Mathematical Soc. |
Pages | 874 |
Release | 2019-10-02 |
Genre | Differential equations |
ISBN | 1470447975 |
Differential Equations: Techniques, Theory, and Applications is designed for a modern first course in differential equations either one or two semesters in length. The organization of the book interweaves the three components in the subtitle, with each building on and supporting the others. Techniques include not just computational methods for producing solutions to differential equations, but also qualitative methods for extracting conceptual information about differential equations and the systems modeled by them. Theory is developed as a means of organizing, understanding, and codifying general principles. Applications show the usefulness of the subject as a whole and heighten interest in both solution techniques and theory. Formal proofs are included in cases where they enhance core understanding; otherwise, they are replaced by informal justifications containing key ideas of a proof in a more conversational format. Applications are drawn from a wide variety of fields: those in physical science and engineering are prominent, of course, but models from biology, medicine, ecology, economics, and sports are also featured. The 1,400+ exercises are especially compelling. They range from routine calculations to large-scale projects. The more difficult problems, both theoretical and applied, are typically presented in manageable steps. The hundreds of meticulously detailed modeling problems were deliberately designed along pedagogical principles found especially effective in the MAA study Characteristics of Successful Calculus Programs, namely, that asking students to work problems that require them to grapple with concepts (or even proofs) and do modeling activities is key to successful student experiences and retention in STEM programs. The exposition itself is exceptionally readable, rigorous yet conversational. Students will find it inviting and approachable. The text supports many different styles of pedagogy from traditional lecture to a flipped classroom model. The availability of a computer algebra system is not assumed, but there are many opportunities to incorporate the use of one.
Applied Theory of Functional Differential Equations
Title | Applied Theory of Functional Differential Equations PDF eBook |
Author | V. Kolmanovskii |
Publisher | Springer Science & Business Media |
Pages | 246 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 9401580847 |
This volume provides an introduction to the properties of functional differential equations and their applications in diverse fields such as immunology, nuclear power generation, heat transfer, signal processing, medicine and economics. In particular, it deals with problems and methods relating to systems having a memory (hereditary systems). The book contains eight chapters. Chapter 1 explains where functional differential equations come from and what sort of problems arise in applications. Chapter 2 gives a broad introduction to the basic principle involved and deals with systems having discrete and distributed delay. Chapters 3-5 are devoted to stability problems for retarded, neutral and stochastic functional differential equations. Problems of optimal control and estimation are considered in Chapters 6-8. For applied mathematicians, engineers, and physicists whose work involves mathematical modeling of hereditary systems. This volume can also be recommended as a supplementary text for graduate students who wish to become better acquainted with the properties and applications of functional differential equations.