Differential Equations And Applications PDF Download
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Author | : M. Braun |
Publisher | : Springer Science & Business Media |
Total Pages | : 733 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 1475749694 |
Download Differential Equations and Their Applications Book in PDF, ePub and Kindle
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 | : Carmen Chicone |
Publisher | : Springer Science & Business Media |
Total Pages | : 569 |
Release | : 2008-04-08 |
Genre | : Mathematics |
ISBN | : 0387226230 |
Download Ordinary Differential Equations with Applications Book in PDF, ePub and Kindle
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 | : E. C. Zachmanoglou |
Publisher | : Courier Corporation |
Total Pages | : 434 |
Release | : 2012-04-20 |
Genre | : Mathematics |
ISBN | : 048613217X |
Download Introduction to Partial Differential Equations with Applications Book in PDF, ePub and Kindle
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 | : William F. Trench |
Publisher | : Thomson Brooks/Cole |
Total Pages | : 766 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : |
Download Elementary Differential Equations with Boundary Value Problems Book in PDF, ePub and Kindle
Written in a clear and accurate language that students can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a conversational style that engages students. He includes more than 250 illustrated, worked examples for easy reading and comprehension. One of the book's many strengths is its problems, which are of consistently high quality. Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow instructors to select the level of technology desired. This has been simplified by using symbols, C and L, to designate the level of technology. C problems call for computations and/or graphics, while L problems are laboratory exercises that require extensive use of technology. Informal advice on the use of technology is included in several sections and instructors who prefer not to emphasize technology can ignore these exercises without interrupting the flow of material.
Author | : Paul D. Ritger |
Publisher | : Courier Corporation |
Total Pages | : 580 |
Release | : 2000-01-01 |
Genre | : Mathematics |
ISBN | : 9780486411545 |
Download Differential Equations with Applications Book in PDF, ePub and Kindle
Coherent, balanced introductory text focuses on initial- and boundary-value problems, general properties of linear equations, and the differences between linear and nonlinear systems. Includes large number of illustrative examples worked out in detail and extensive sets of problems. Answers or hints to most problems appear at end.
Author | : Belkacem Said-Houari |
Publisher | : Springer |
Total Pages | : 219 |
Release | : 2016-01-11 |
Genre | : Mathematics |
ISBN | : 3319257358 |
Download Differential Equations: Methods and Applications Book in PDF, ePub and Kindle
This book presents a variety of techniques for solving ordinary differential equations analytically and features a wealth of examples. Focusing on the modeling of real-world phenomena, it begins with a basic introduction to differential equations, followed by linear and nonlinear first order equations and a detailed treatment of the second order linear equations. After presenting solution methods for the Laplace transform and power series, it lastly presents systems of equations and offers an introduction to the stability theory.To help readers practice the theory covered, two types of exercises are provided: those that illustrate the general theory, and others designed to expand on the text material. Detailed solutions to all the exercises are included.The book is excellently suited for use as a textbook for an undergraduate class (of all disciplines) in ordinary differential equations.
Author | : Stanley J. Farlow |
Publisher | : Courier Corporation |
Total Pages | : 642 |
Release | : 2012-10-23 |
Genre | : Mathematics |
ISBN | : 0486135136 |
Download An Introduction to Differential Equations and Their Applications Book in PDF, ePub and Kindle
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 | : hal smith |
Publisher | : Springer Science & Business Media |
Total Pages | : 178 |
Release | : 2010-09-29 |
Genre | : Mathematics |
ISBN | : 1441976469 |
Download An Introduction to Delay Differential Equations with Applications to the Life Sciences Book in PDF, ePub and Kindle
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 | : Avner Friedman |
Publisher | : Academic Press |
Total Pages | : 248 |
Release | : 2014-06-20 |
Genre | : Mathematics |
ISBN | : 1483217876 |
Download Stochastic Differential Equations and Applications Book in PDF, ePub and Kindle
Stochastic Differential Equations and Applications, Volume 1 covers the development of the basic theory of stochastic differential equation systems. This volume is divided into nine chapters. Chapters 1 to 5 deal with the basic theory of stochastic differential equations, including discussions of the Markov processes, Brownian motion, and the stochastic integral. Chapter 6 examines the connections between solutions of partial differential equations and stochastic differential equations, while Chapter 7 describes the Girsanov’s formula that is useful in the stochastic control theory. Chapters 8 and 9 evaluate the behavior of sample paths of the solution of a stochastic differential system, as time increases to infinity. This book is intended primarily for undergraduate and graduate mathematics students.
Author | : Barbara D. MacCluer |
Publisher | : American Mathematical Soc. |
Total Pages | : 874 |
Release | : 2019-10-02 |
Genre | : Differential equations |
ISBN | : 1470447975 |
Download Differential Equations: Techniques, Theory, and Applications Book in PDF, ePub and Kindle
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.