A Workbook For Differential Equations

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A Workbook For Differential Equations

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Author : Bernd S. W. Schröder
language : en
Publisher: John Wiley & Sons
Release Date : 2009-12-02

A Workbook For Differential Equations written by Bernd S. W. Schröder and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-02 with Mathematics categories.

An accessible and hands-on approach to modeling and predicting real-world phenomena using differential equations A Workbook for Differential Equations presents an interactive introduction to fundamental solution methods for ordinary differential equations. The author emphasizes the importance of manually working through computations and models, rather than simply reading or memorizing formulas. Utilizing real-world applications from spring-mass systems and circuits to vibrating strings and an overview of the hydrogen atom, the book connects modern research with the presented topics, including first order equations, constant coefficient equations, Laplace transforms, partial differential equations, series solutions, systems, and numerical methods. The result is a unique guide to understanding the significance of differential equations in mathematics, science, and engineering. The workbook contains modules that involve readers in as many ways as possible, and each module begins with "Prerequisites" and "Learning Objectives" sections that outline both the skills needed to understand the presented material and what new skills will be obtained by the conclusion of the module. Detailed applications are intertwined in the discussion, motivating the investigation of new classes of differential equations and their accompanying techniques. Introductory modeling sections discuss applications and why certain known solution techniques may not be enough to successfully analyze certain situations. Almost every module concludes with a section that contains various projects, ranging from programming tasks to theoretical investigations. The book is specifically designed to promote the development of effective mathematical reading habits such as double-checking results and filling in omitted steps in a computation. Rather than provide lengthy explanations of what readers should do, good habits are demonstrated in short sections, and a wide range of exercises provide the opportunity to test reader comprehension of the concepts and techniques. Rich illustrations, highlighted notes, and boxed comments offer illuminating explanations of the computations. The material is not specific to any one particular software package, and as a result, necessary algorithms can be implemented in various programs, including Mathematica®, Maple, and Mathcad®. The book's related Web site features supplemental slides as well as videos that discuss additional topics such as homogeneous first order equations, the general solution of separable differential equations, and the derivation of the differential equations for a multi-loop circuit. In addition, twenty activities are included at the back of the book, allowing for further practice of discussed topics whether in the classroom or for self-study. With its numerous pedagogical features that consistently engage readers, A Workbook for Differential Equations is an excellent book for introductory courses in differential equations and applied mathematics at the undergraduate level. It is also a suitable reference for professionals in all areas of science, physics, and engineering.

Ordinary Differential Equations

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Author : Morris Tenenbaum
language : en
Publisher: Dover Publications
Release Date : 1985-10-01

Ordinary Differential Equations written by Morris Tenenbaum and has been published by Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-10-01 with Mathematics categories.

This unusually well-written, skillfully organized introductory text provides an exhaustive survey of ordinary differential equations — equations which express the relationship between variables and their derivatives. In a disarmingly simple, step-by-step style that never sacrifices mathematical rigor, the authors — Morris Tenenbaum of Cornell University, and Harry Pollard of Purdue University — introduce and explain complex, critically-important concepts to undergraduate students of mathematics, engineering and the sciences. The book begins with a section that examines the origin of differential equations, defines basic terms and outlines the general solution of a differential equation-the solution that actually contains every solution of such an equation. Subsequent sections deal with such subjects as: integrating factors; dilution and accretion problems; the algebra of complex numbers; the linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas; and Picard's Method of Successive Approximations. The book contains two exceptional chapters: one on series methods of solving differential equations, the second on numerical methods of solving differential equations. The first includes a discussion of the Legendre Differential Equation, Legendre Functions, Legendre Polynomials, the Bessel Differential Equation, and the Laguerre Differential Equation. Throughout the book, every term is clearly defined and every theorem lucidly and thoroughly analyzed, and there is an admirable balance between the theory of differential equations and their application. An abundance of solved problems and practice exercises enhances the value of Ordinary Differential Equations as a classroom text for undergraduate students and teaching professionals. The book concludes with an in-depth examination of existence and uniqueness theorems about a variety of differential equations, as well as an introduction to the theory of determinants and theorems about Wronskians.

Differential Equations A Workbook

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Author : Alan Nebrida
language : en
Publisher: GRIN Verlag
Release Date : 2022-09-27

Differential Equations A Workbook written by Alan Nebrida and has been published by GRIN Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-27 with Education categories.

Exam Revision from the year 2022 in the subject Learning materials - Mathematics, , language: English, abstract: Generally, students enrolled in Elementary Differential Equations courses are poorly prepared for rigorous treatment of the subject. I tried to alleviate this problem by isolating the material that requires greater sophistication than that normally acquired in the first year of calculus. The emphasis throughout is on making the work text readable by frequent examples and by including enough steps in working problems so that students will not be bogged down with complicated calculations. This worktext has been written with the following objectives: 1. To provide in an elementary manner a reasonable understanding of differential equations for students of engineering and students of mathematics who are interested in applying their fields. Illustrative examples and practice problems are used throughout to help facilitate understanding. Whatever possible, stress is on motivation rather than following rules. 2. To demonstrate how differential equations can be useful in solving many types of problems – in particular, to show students how to: (a) translate problems into the language of differential equations, i.e. set up mathematical formulations of problems; (b) solve the resulting differential equations subject to given conditions; (c) interpret the solutions obtained. 3. To separate the theory of differential equations from their applications so as to give ample attention to each. This is accomplished by threatening theory and applications in separate lessons, particularly in early lessons of the coursebook. This is done for two reasons; First, from a pedagogical viewpoint, it seems inadvisable to mix theory and applications at an early stage since the students usually find applied problems difficult to formulate mathematically, and when they are forced to do this in addition to learning techniques for solution, it generally turns out that they learned neither effectively. By treating theory without applications and then gradually broadening out to applications (at the same time reviewing theory) the students may better master both since their attention is thereby focused only in one thing at a time. A second reason for separating theory and applications is enable instructors who may wish to present a minimum of applications to do so conveniently without being in the awkward position of having to skip around in lessons.

Differential Equations Workbook For Dummies

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Author : Steven Holzner
language : en
Publisher: John Wiley & Sons
Release Date : 2009-06-29

Differential Equations Workbook For Dummies written by Steven Holzner and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-29 with Mathematics categories.

Make sense of these difficult equations Improve your problem-solving skills Practice with clear, concise examples Score higher on standardized tests and exams Get the confidence and the skills you need to master differential equations! Need to know how to solve differential equations? This easy-to-follow, hands-on workbook helps you master the basic concepts and work through the types of problems you'll encounter in your coursework. You get valuable exercises, problem-solving shortcuts, plenty of workspace, and step-by-step solutions to every equation. You'll also memorize the most-common types of differential equations, see how to avoid common mistakes, get tips and tricks for advanced problems, improve your exam scores, and much more! More than 100 Problems! Detailed, fully worked-out solutions to problems The inside scoop on first, second, and higher order differential equations A wealth of advanced techniques, including power series THE DUMMIES WORKBOOK WAY Quick, refresher explanations Step-by-step procedures Hands-on practice exercises Ample workspace to work out problems Online Cheat Sheet A dash of humor and fun

Introduction To Differential Equations

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Author : Azizan Zainal Abidin
language : en
Publisher:
Release Date : 2010

Introduction To Differential Equations written by Azizan Zainal Abidin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Calculus categories.

Differential Equations Laboratory Workbook

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Author : Borrelli
language : en
Publisher:
Release Date :

Differential Equations Laboratory Workbook written by Borrelli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Differential Equations Workbook For Dummies

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Author : Steven Holzner
language : en
Publisher: John Wiley & Sons
Release Date : 2009-08-03

Differential Equations Workbook For Dummies written by Steven Holzner and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-03 with Mathematics categories.

Tips, tricks and lots of practice to help students get a handle on these complex calculus problems Pre-calculus classes prepare students for studies in calculus and other advanced Differential equations are essential in physics, economics, engineering, and many other scientific and technical disciplines. This new Dummies Workbook is a hands-on companion for students grappling with differential equations in classes such as calculus, AP calculus, physics, and engineering. It features numerous practice exercises and clear, concise examples to help students improve their problem-solving skills and score better in science, math, and standardized tests. This practice-oriented workbook covers such challenging topics as first-order and second-order differential equations, constant coefficients, undetermined coefficients, variation of parameters, initial-value problems, the Laplace transform, and more.

Interactive Differential Equations Workbook

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Author : Beverly Henderson West
language : en
Publisher: Addison Wesley
Release Date : 1997

Interactive Differential Equations Workbook written by Beverly Henderson West and has been published by Addison Wesley this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.

Accompanies a CD-ROM containing over 90 tools and applications of differential equations drawn from engineering, physics, chemistry, and biology. Covers first- and second-order differential equations, linear and nonlinear systems, Laplace transforms, and series solutions.

Partial Differential Equations

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Author : Phoolan Prasad
language : en
Publisher: New Age International
Release Date : 1985

Partial Differential Equations written by Phoolan Prasad and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Differential equations, Partial categories.

This book provides a basic introductory course in partial differential equations, in which theory and applications are interrelated and developed side by side. Emphasis is on proofs, which are not only mathematically rigorous, but also constructive, where the structure and properties of the solution are investigated in detail. The authors feel that it is no longer necessary to follow the tradition of introducing the subject by deriving various partial differential equations of continuum mechanics and theoretical physics. Therefore, the subject has been introduced by mathematical analysis of the simplest, yet one of the most useful (from the point of view of applications), class of partial differential equations, namely the equations of first order, for which existence, uniqueness and stability of the solution of the relevant problem (Cauchy problem) is easy to discuss. Throughout the book, attempt has been made to introduce the important ideas from relatively simple cases, some times by referring to physical processes, and then extending them to more general systems.

A Text Book Of Differential Equations

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Author : N. M. Kapoor
language : en
Publisher: Pitambar Publishing
Release Date : 2006

A Text Book Of Differential Equations written by N. M. Kapoor and has been published by Pitambar Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

An Integral Part Of College Mathematics, Finds Application In Diverse Areas Of Science And Enginnering. This Book Covers The Subject Of Ordinary And Partial Differential Equations In Detail. There Are Ninteeen Chapters And Eight Appendices Covering Diverse Topics Including Numerical Solution Of First Order Equations, Existence Theorem, Solution In Series, Detailed Study Of Partial Differential Equations Of Second Order Etc. This Book Fully Covers The Latest Requirement Of Graduage And Postgraduate Courses.