Differential Equations Laboratory Workbook PDF Download
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Author: Robert L. Borrelli
Publisher: Wiley
ISBN: 9780471551423
Category : Mathematics
Languages : en
Pages : 368
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Book Description
Using an approach which closely parallels what goes on in science and engineering laboratories, this workbook provides computer experiments that amplify topics found in introductory ordinary differential equations texts. Excellent 2 and 3-D graphics illustrate the range of qualitative behavior of solutions and give compelling visual evidence of theoretical deductions and a greater understanding of the qualitative properties. The experiments are largely self-contained and are independent of any particular hardware/software platform or text.
Author: Robert L. Borrelli
Publisher: Wiley
ISBN: 9780471551423
Category : Mathematics
Languages : en
Pages : 368
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Book Description
Using an approach which closely parallels what goes on in science and engineering laboratories, this workbook provides computer experiments that amplify topics found in introductory ordinary differential equations texts. Excellent 2 and 3-D graphics illustrate the range of qualitative behavior of solutions and give compelling visual evidence of theoretical deductions and a greater understanding of the qualitative properties. The experiments are largely self-contained and are independent of any particular hardware/software platform or text.
Author: Borrelli
Publisher:
ISBN: 9780471570509
Category :
Languages : en
Pages :
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Book Description
Author: Bernd S. W. Schröder
Publisher: John Wiley & Sons
ISBN: 0470447516
Category : Mathematics
Languages : en
Pages : 352
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Book Description
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.
Author: William E. Boyce
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 344
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Book Description
Author: William E. Boyce
Publisher: John Wiley & Sons
ISBN: 1119443768
Category : Mathematics
Languages : en
Pages : 624
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Book Description
Elementary Differential Equations and Boundary Value Problems 11e, like its predecessors, is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications. In addition to expanded explanations, the 11th edition includes new problems, updated figures and examples to help motivate students. The program is primarily intended for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two or three semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations.
Author: William E. Boyce
Publisher:
ISBN: 9781119124788
Category : Boundary value problems
Languages : en
Pages : 809
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Book Description
Author: David V. Kalbaugh
Publisher: CRC Press
ISBN: 1498798829
Category : Mathematics
Languages : en
Pages : 453
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Book Description
This book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs), and concisely presents the topics of most use to engineers. It introduces each topic with a motivating application drawn from electrical, mechanical, and aerospace engineering. The text has reviews of foundations, step-by-step explanations, and sets of solved problems. It fosters students’ abilities in the art of approximation and self-checking. The book addresses PDEs with and without boundary conditions, which demonstrates strong similarities with ordinary differential equations and clear illustrations of the nature of solutions. Furthermore, each chapter includes word problems and challenge problems. Several extended computing projects run throughout the text.
Author: William E. Boyce
Publisher: John Wiley & Sons
ISBN: 1119443636
Category : Mathematics
Languages : en
Pages : 512
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Book Description
With Wiley’s Enhanced E-Text, you get all the benefits of a downloadable, reflowable eBook with added resources to make your study time more effective, including: • Embedded & searchable equations, figures & tables • Math XML • Index with linked pages numbers for easy reference • Redrawn full color figures to allow for easier identification Elementary Differential Equations, 11th Edition is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications. In addition to expanded explanations, the 11th edition includes new problems, updated figures and examples to help motivate students. The program is primarily intended for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two ] or three ] semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations.
Author: M. J. Kallaher
Publisher: Cambridge University Press
ISBN: 9780883851609
Category : Mathematics
Languages : en
Pages : 108
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Book Description
Discusses the direction in which the field of differential equations, and its teaching, is going.
Author: William E. Boyce
Publisher: Wiley
ISBN: 9781118323618
Category : Mathematics
Languages : en
Pages : 0
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Book Description
The 10th edition of Elementary Differential Equations and Boundary Value Problems, like its predecessors, is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications. In addition to expanded explanations, the 10th edition includes new problems, updated figures and examples to help motivate students. The book is written primarily for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. The main prerequisite for reading the book is a working knowledge of calculus, gained from a normal two?(or three) semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations.
