Elementary Differential Equations With Applications

Author : Charles Roberts
Publisher : CRC Press
Page : 555 pages
File Size : 42,9 Mb
Release : 2018-12-13
Category : Mathematics
ISBN : 9781498776097

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Elementary Differential Equations by Charles Roberts Pdf

Elementary Differential Equations, Second Edition is written with the knowledge that there has been a dramatic change in the past century in how solutions to differential equations are calculated. However, the way the topic has been taught in introductory courses has barely changed to reflect these advances, which leaves students at a disadvantage. This second edition has been created to address these changes and help instructors facilitate new teaching methods and the latest tools, which includes computers. The text is designed to help instructors who want to use computers in their classrooms. It accomplishes this by emphasizing and integrating computers in teaching elementary or ordinary differential equations. Many examples and exercises included in the text require the use of computer software to solve problems. It should be noted that since instructors use their own preferred software, this book has been written to be independent of any specific software package. Features: Focuses on numerical methods and computing to generate solutions Features extensive coverage of nonlinear differential equations and nonlinear systems Includes software programs to solve problems in the text which are located on the author's website Contains a wider variety of non-mathematical models than any competing textbook This second edition is a valuable, up-to-date tool for instructors teaching courses about differential equations. It serves as an excellent introductory textbook for undergraduate students majoring in applied mathematics, computer science, various engineering disciplines and other sciences. They also will find that the textbook will aide them greatly in their professional careers because of its instructions on how to use computers to solve equations.

Author : William F. Trench
Publisher : Thomson Brooks/Cole
Page : 766 pages
File Size : 43,5 Mb
Release : 2001
Category : Mathematics
ISBN : UCSC:32106015134783

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Elementary Differential Equations with Boundary Value Problems by William F. Trench Pdf

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 : Charles Roberts
Publisher : CRC Press
Page : 492 pages
File Size : 51,9 Mb
Release : 2018-12-13
Category : Mathematics
ISBN : 9781498776103

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Elementary Differential Equations by Charles Roberts Pdf

Elementary Differential Equations, Second Edition is written with the knowledge that there has been a dramatic change in the past century in how solutions to differential equations are calculated. However, the way the topic has been taught in introductory courses has barely changed to reflect these advances, which leaves students at a disadvantage. This second edition has been created to address these changes and help instructors facilitate new teaching methods and the latest tools, which includes computers. The text is designed to help instructors who want to use computers in their classrooms. It accomplishes this by emphasizing and integrating computers in teaching elementary or ordinary differential equations. Many examples and exercises included in the text require the use of computer software to solve problems. It should be noted that since instructors use their own preferred software, this book has been written to be independent of any specific software package. Features: Focuses on numerical methods and computing to generate solutions Features extensive coverage of nonlinear differential equations and nonlinear systems Includes software programs to solve problems in the text which are located on the author's website Contains a wider variety of non-mathematical models than any competing textbook This second edition is a valuable, up-to-date tool for instructors teaching courses about differential equations. It serves as an excellent introductory textbook for undergraduate students majoring in applied mathematics, computer science, various engineering disciplines and other sciences. They also will find that the textbook will aide them greatly in their professional careers because of its instructions on how to use computers to solve equations.

Author : Charles Henry Edwards,David E. Penney
Publisher : Prentice Hall
Page : 708 pages
File Size : 52,8 Mb
Release : 1994
Category : Mathematics
ISBN : STANFORD:36105009808911

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Elementary Differential Equations with Applications by Charles Henry Edwards,David E. Penney Pdf

This introduction to elementary differential equations covers a range of real-world applications, numerical and computer material, and treatment of contemporary topics. It encompasses phase plane diagrams, modelling, graded problem sets and illustrative programs written in BASIC.

Author : William E. Boyce,Richard C. DiPrima,Douglas B. Meade
Publisher : John Wiley & Sons
Page : 512 pages
File Size : 47,9 Mb
Release : 2017-08-14
Category : Mathematics
ISBN : 9781119443636

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Elementary Differential Equations by William E. Boyce,Richard C. DiPrima,Douglas B. Meade Pdf

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 : William R. Derrick
Publisher : Unknown
Page : 532 pages
File Size : 48,9 Mb
Release : 1952
Category : Differential equations
ISBN : OCLC:1089509109

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Elementary Differential Equations with Applications by William R. Derrick Pdf

Author : Earl David Rainville,Phillip Edward Bedient,Richard E. Bedient
Publisher : Pearson
Page : 552 pages
File Size : 43,9 Mb
Release : 1997
Category : Mathematics
ISBN : STANFORD:36105019253256

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Elementary Differential Equations by Earl David Rainville,Phillip Edward Bedient,Richard E. Bedient Pdf

Appropriate for introductory courses in Differential Equations. This clear, concise fairly easy classic text is particularly well-suited to courses that emphasize finding solutions to differential equations where applications play an important role. Many illustrative examples in each chapter help the student to understand the subject. Computer applications new to this edition.

Author : Richard Bellman,Kenneth L. Cooke
Publisher : Courier Corporation
Page : 260 pages
File Size : 48,5 Mb
Release : 1995-01-01
Category : Mathematics
ISBN : 0486686434

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Modern Elementary Differential Equations by Richard Bellman,Kenneth L. Cooke Pdf

Designed to introduce students to the theory and applications of differential equations and to help them formulate scientific problems in terms of such equations, this undergraduate-level text emphasizes applications to problems in biology, economics, engineering, and physics. This edition also includes material on discontinuous solutions, Riccati and Euler equations, and linear difference equations.

Author : William R. Derrick,Stanley I. Grossman
Publisher : Addison Wesley Publishing Company
Page : 340 pages
File Size : 50,7 Mb
Release : 1981
Category : Mathematics
ISBN : 0201031647

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Elementary Differential Equations with Applications by William R. Derrick,Stanley I. Grossman Pdf

Author : William E. Boyce,Richard C. DiPrima,Douglas B. Meade
Publisher : John Wiley & Sons
Page : 624 pages
File Size : 49,5 Mb
Release : 2017-08-21
Category : Mathematics
ISBN : 9781119443766

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Elementary Differential Equations and Boundary Value Problems by William E. Boyce,Richard C. DiPrima,Douglas B. Meade Pdf

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 : Paul Waltman
Publisher : Elsevier
Page : 272 pages
File Size : 55,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483276601

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A Second Course in Elementary Differential Equations by Paul Waltman Pdf

A Second Course in Elementary Differential Equations deals with norms, metric spaces, completeness, inner products, and an asymptotic behavior in a natural setting for solving problems in differential equations. The book reviews linear algebra, constant coefficient case, repeated eigenvalues, and the employment of the Putzer algorithm for nondiagonalizable coefficient matrix. The text describes, in geometrical and in an intuitive approach, Liapunov stability, qualitative behavior, the phase plane concepts, polar coordinate techniques, limit cycles, the Poincaré-Bendixson theorem. The book explores, in an analytical procedure, the existence and uniqueness theorems, metric spaces, operators, contraction mapping theorem, and initial value problems. The contraction mapping theorem concerns operators that map a given metric space into itself, in which, where an element of the metric space M, an operator merely associates with it a unique element of M. The text also tackles inner products, orthogonality, bifurcation, as well as linear boundary value problems, (particularly the Sturm-Liouville problem). The book is intended for mathematics or physics students engaged in ordinary differential equations, and for biologists, engineers, economists, or chemists who need to master the prerequisites for a graduate course in mathematics.

Author : William E. Boyce,Richard C. DiPrima
Publisher : Unknown
Page : 809 pages
File Size : 46,6 Mb
Release : 2015
Category : Boundary value problems
ISBN : 1119124786

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Elementary Differential Equations and Boundary Value Problems by William E. Boyce,Richard C. DiPrima Pdf

Author : William R. Derrick,Stanley I. Grossman
Publisher : Addison Wesley
Page : 502 pages
File Size : 55,5 Mb
Release : 1997
Category : Mathematics
ISBN : STANFORD:36105019248868

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Elementary Differential Equations by William R. Derrick,Stanley I. Grossman Pdf

Differential equations feature frequently in applications of mathematics to the physical and biological sciences. The primary goal of this text is to teach students how to use differential equations in applied areas. The book includes over 400 worked examples and more than 2500 exercises.

Author : Charles Roberts
Publisher : CRC Press
Page : 604 pages
File Size : 46,5 Mb
Release : 2011-06-13
Category : Mathematics
ISBN : 9781439819098

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Ordinary Differential Equations by Charles Roberts Pdf

In the traditional curriculum, students rarely study nonlinear differential equations and nonlinear systems due to the difficulty or impossibility of computing explicit solutions manually. Although the theory associated with nonlinear systems is advanced, generating a numerical solution with a computer and interpreting that solution are fairly elementary. Bringing the computer into the classroom, Ordinary Differential Equations: Applications, Models, and Computing emphasizes the use of computer software in teaching differential equations. Providing an even balance between theory, computer solution, and application, the text discusses the theorems and applications of the first-order initial value problem, including learning theory models, population growth models, epidemic models, and chemical reactions. It then examines the theory for n-th order linear differential equations and the Laplace transform and its properties, before addressing several linear differential equations with constant coefficients that arise in physical and electrical systems. The author also presents systems of first-order differential equations as well as linear systems with constant coefficients that arise in physical systems, such as coupled spring-mass systems, pendulum systems, the path of an electron, and mixture problems. The final chapter introduces techniques for determining the behavior of solutions to systems of first-order differential equations without first finding the solutions. Designed to be independent of any particular software package, the book includes a CD-ROM with the software used to generate the solutions and graphs for the examples. The appendices contain complete instructions for running the software. A solutions manual is available for qualifying instructors.

Author : Henry Thomas Herbert Piaggio
Publisher : Legare Street Press
Page : 0 pages
File Size : 41,9 Mb
Release : 2022-10-27
Category : History
ISBN : 1016075936

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An Elementary Treatise on Differential Equations and Their Applications by Henry Thomas Herbert Piaggio Pdf

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