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Author : Albert L. Rabenstein
Publisher : Academic Press
Page : 34 pages
File Size : 46,6 Mb
Release : 1982
Category : Algebras, Linear
ISBN : 012573946X
Author : Albert L. Rabenstein
Publisher : Academic Press
Page : 529 pages
File Size : 45,5 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483262376
Elementary Differential Equations with Linear Algebra, Third Edition provides an introduction to differential equation and linear algebra. This book includes topics on numerical methods and Laplace transforms. Organized into nine chapters, this edition begins with an overview of an equation that involves a single unknown function of a single variable and some finite number of its derivatives. This text then examines a linear system of two equations with two unknowns. Other chapters consider a class of linear transformations that are defined on spaces of functions wherein these transformations are essential in the study of linear differential equations. This book discusses as well the linear differential equations whose coefficients are constant functions. The final chapter deals with the properties of Laplace transform in detail and examine as well the applications of Laplace transforms to differential equations. This book is a valuable resource for mathematicians, students, and research workers.
Author : Albert L. Rabenstein
Publisher : Unknown
Page : 21 pages
File Size : 47,6 Mb
Release : 1975
Category : Electronic
ISBN : 0125739443
Author : J. David Logan
Publisher : Springer
Page : 369 pages
File Size : 40,8 Mb
Release : 2015-07-01
Category : Mathematics
ISBN : 9783319178523
The third edition of this concise, popular textbook on elementary differential equations gives instructors an alternative to the many voluminous texts on the market. It presents a thorough treatment of the standard topics in an accessible, easy-to-read, format. The overarching perspective of the text conveys that differential equations are about applications. This book illuminates the mathematical theory in the text with a wide variety of applications that will appeal to students in physics, engineering, the biosciences, economics and mathematics. Instructors are likely to find that the first four or five chapters are suitable for a first course in the subject. This edition contains a healthy increase over earlier editions in the number of worked examples and exercises, particularly those routine in nature. Two appendices include a review with practice problems, and a MATLAB® supplement that gives basic codes and commands for solving differential equations. MATLAB® is not required; students are encouraged to utilize available software to plot many of their solutions. Solutions to even-numbered problems are available on springer.com.
Author : John David Logan
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 46,9 Mb
Release : 2006
Category : Mathematics
ISBN : 9780387259635
While the standard sophomore course on elementary differential equations is typically one semester in length, most of the texts currently being used for these courses have evolved into calculus-like presentations that include a large collection of methods and applications, packaged with state-of-the-art color graphics, student solution manuals, the latest fonts, marginal notes, and web-based supplements. All of this adds up to several hundred pages of text and can be very expensive. Many students do not have the time or desire to read voluminous texts and explore internet supplements. Thats what makes the format of this differential equations book unique. It is a one-semester, brief treatment of the basic ideas, models, and solution methods. Its limited coverage places it somewhere between an outline and a detailed textbook. The author writes concisely, to the point, and in plain language. Many worked examples and exercises are included. A student who works through this primer will have the tools to go to the next level in applying ODEs to problems in engineering, science, and applied mathematics. It will also give instructors, who want more concise coverage, an alternative to existing texts. This text also encourages students to use a computer algebra system to solve problems numerically. It can be stated with certainty that the numerical solution of differential equations is a central activity in science and engineering, and it is absolutely necessary to teach students scientific computation as early as possible. Templates of MATLAB programs that solve differential equations are given in an appendix. Maple and Mathematica commands are given as well. The author taught this material on several ocassions to students who have had a standard three-semester calculus sequence. It has been well received by many students who appreciated having a small, definitive parcel of material to learn. Moreover, this text gives students the opportunity to start reading mathematics at a slightly higher level than experienced in pre-calculus and calculus; not every small detail is included. Therefore the book can be a bridge in their progress to study more advanced material at the junior-senior level, where books leave a lot to the reader and are not packaged with elementary formats. J. David Logan is Professor of Mathematics at the University of Nebraska, Lincoln. He is the author of another recent undergraduate textbook, Applied Partial Differential Equations, 2nd Edition (Springer 2004).
Author : Alan Jeffrey
Publisher : CRC Press
Page : 110 pages
File Size : 51,9 Mb
Release : 2018-02-01
Category : Mathematics
ISBN : 9781351082099
First published in 1990.
Author : Albert L. Rabenstein
Publisher : Unknown
Page : 128 pages
File Size : 42,5 Mb
Release : 1992-01-01
Category : Electronic
ISBN : 0030927323
Author : Charles Henry Edwards,David E. Penney
Publisher : Unknown
Page : 464 pages
File Size : 44,6 Mb
Release : 2001
Category : Algebras, Linear
ISBN : 0130262773
Author : C. Henry Edwards,David E. Penney,David Calvis
Publisher : Pearson
Page : 368 pages
File Size : 40,6 Mb
Release : 2017-03
Category : Algebras, Linear
ISBN : 0134498143
Author : Edwards,David E. Penney
Publisher : Unknown
Page : 381 pages
File Size : 45,6 Mb
Release : 1993-01-01
Category : Boundary value problems
ISBN : 0132534282
Author : Christian Constanda,Ronald B Guenther,Kuo-Ching Ma
Publisher : Chapman & Hall/CRC
Page : 99 pages
File Size : 52,8 Mb
Release : 2002-03
Category : Electronic
ISBN : 1584883111
Author : Charles Henry Edwards,David E. Penney
Publisher : Unknown
Page : 458 pages
File Size : 44,6 Mb
Release : 2000
Category : Differential equations
ISBN : 0130167711
Author : Charles Roberts
Publisher : CRC Press
Page : 492 pages
File Size : 41,5 Mb
Release : 2018-12-13
Category : Mathematics
ISBN : 9781498776103
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 : Boyce
Publisher : Unknown
Page : 128 pages
File Size : 49,9 Mb
Release : 2016-10-20
Category : Electronic
ISBN : 1119169763
Author : Charles Henry Edwards,David E. Penney
Publisher : Pearson
Page : 0 pages
File Size : 41,8 Mb
Release : 2007-11-19
Category : Differential equations
ISBN : 0136006159