A First Course In Differential Equations

Author : J. David Logan
Publisher : Springer Science & Business Media
ISBN 13 : 0387299300
Total Pages : 290 pages
Book Rating : 4.03/5 ( download)

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Download or read book A First Course in Differential Equations written by J. David Logan and published by Springer Science & Business Media. This book was released on 2006-05-20 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Therearemanyexcellenttextsonelementarydi?erentialequationsdesignedfor the standard sophomore course. However, in spite of the fact that most courses are one semester in length, the texts have evolved into calculus-like pres- tations that include a large collection of methods and applications, packaged with student manuals, and Web-based notes, projects, and supplements. All of this comes in several hundred pages of text with busy formats. Most students do not have the time or desire to read voluminous texts and explore internet supplements. The format of this di?erential equations book is di?erent; it is a one-semester, brief treatment of the basic ideas, models, and solution methods. Itslimitedcoverageplacesitsomewherebetweenanoutlineandadetailedte- book. I have tried to write 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 di?erential eq- tions to problems in engineering, science, and applied mathematics. It can give some instructors, who want more concise coverage, an alternative to existing texts.

Author : Dennis G. Zill
Publisher : Brooks/Cole
ISBN 13 : 9780534931551
Total Pages : 164 pages
Book Rating : 4.53/5 ( download)

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Download or read book A first course in differential equations written by Dennis G. Zill and published by Brooks/Cole. This book was released on 1993 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: % mainly for math and engineering majors.% clear, concise writng style is student oriented.J% graded problem sets, with many diverse problems, range form drill to more challenging problems.% this course follows the three-semester calculus sequence at two- and four-year schools

Author : Carlos A. Smith
Publisher : CRC Press
ISBN 13 : 1439850887
Total Pages : 344 pages
Book Rating : 4.86/5 ( download)

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Download or read book A First Course in Differential Equations, Modeling, and Simulation written by Carlos A. Smith and published by CRC Press. This book was released on 2011-05-18 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing a practical approach for engineers and scientists, A First Course in Differential Equations, Modeling, and Simulation avoids overly theoretical explanations and shows readers how differential equations arise from applying basic physical principles and experimental observations to engineering systems. It also covers classical methods for

Author : Dennis G. Zill
Publisher :
ISBN 13 : 9789814040198
Total Pages : 387 pages
Book Rating : 4.93/5 ( download)

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Download or read book A First Course in Differential Equations with Modeling Applications written by Dennis G. Zill and published by . This book was released on 1997 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Suman Kumar Tumuluri
Publisher : CRC Press
ISBN 13 : 100035671X
Total Pages : 338 pages
Book Rating : 4.17/5 ( download)

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Download or read book A First Course in Ordinary Differential Equations written by Suman Kumar Tumuluri and published by CRC Press. This book was released on 2021-03-24 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: A First course in Ordinary Differential Equations provides a detailed introduction to the subject focusing on analytical methods to solve ODEs and theoretical aspects of analyzing them when it is difficult/not possible to find their solutions explicitly. This two-fold treatment of the subject is quite handy not only for undergraduate students in mathematics but also for physicists, engineers who are interested in understanding how various methods to solve ODEs work. More than 300 end-of-chapter problems with varying difficulty are provided so that the reader can self examine their understanding of the topics covered in the text. Most of the definitions and results used from subjects like real analysis, linear algebra are stated clearly in the book. This enables the book to be accessible to physics and engineering students also. Moreover, sufficient number of worked out examples are presented to illustrate every new technique introduced in this book. Moreover, the author elucidates the importance of various hypotheses in the results by providing counter examples. Features Offers comprehensive coverage of all essential topics required for an introductory course in ODE. Emphasizes on both computation of solutions to ODEs as well as the theoretical concepts like well-posedness, comparison results, stability etc. Systematic presentation of insights of the nature of the solutions to linear/non-linear ODEs. Special attention on the study of asymptotic behavior of solutions to autonomous ODEs (both for scalar case and 2✕2 systems). Sufficient number of examples are provided wherever a notion is introduced. Contains a rich collection of problems. This book serves as a text book for undergraduate students and a reference book for scientists and engineers. Broad coverage and clear presentation of the material indeed appeals to the readers. Dr. Suman K. Tumuluri has been working in University of Hyderabad, India, for 11 years and at present he is an associate professor. His research interests include applications of partial differential equations in population dynamics and fluid dynamics.

Author : A. Iserles
Publisher : Cambridge University Press
ISBN 13 : 0521734908
Total Pages : 481 pages
Book Rating : 4.05/5 ( download)

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Download or read book A First Course in the Numerical Analysis of Differential Equations written by A. Iserles and published by Cambridge University Press. This book was released on 2009 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.

Author : Antonio Ambrosetti
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111185788
Total Pages : 435 pages
Book Rating : 4.81/5 ( download)

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Download or read book Differential Equations written by Antonio Ambrosetti and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-12-18 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Martin Hermann
Publisher : Springer Science & Business
ISBN 13 : 8132218353
Total Pages : 300 pages
Book Rating : 4.57/5 ( download)

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Download or read book A First Course in Ordinary Differential Equations written by Martin Hermann and published by Springer Science & Business. This book was released on 2014-04-22 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional format—the theorem-and-proof format—the book is focusing on analytical and numerical methods. The book supplies a variety of problems and examples, ranging from the elementary to the advanced level, to introduce and study the mathematics of ODEs. The analytical part of the book deals with solution techniques for scalar first-order and second-order linear ODEs, and systems of linear ODEs—with a special focus on the Laplace transform, operator techniques and power series solutions. In the numerical part, theoretical and practical aspects of Runge-Kutta methods for solving initial-value problems and shooting methods for linear two-point boundary-value problems are considered. The book is intended as a primary text for courses on the theory of ODEs and numerical treatment of ODEs for advanced undergraduate and early graduate students. It is assumed that the reader has a basic grasp of elementary calculus, in particular methods of integration, and of numerical analysis. Physicists, chemists, biologists, computer scientists and engineers whose work involves solving ODEs will also find the book useful as a reference work and tool for independent study. The book has been prepared within the framework of a German–Iranian research project on mathematical methods for ODEs, which was started in early 2012.

Author : Stephen A. Wirkus
Publisher : CRC Press
ISBN 13 : 1498736068
Total Pages : 788 pages
Book Rating : 4.60/5 ( download)

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Download or read book A Course in Differential Equations with Boundary Value Problems written by Stephen A. Wirkus and published by CRC Press. This book was released on 2017-01-24 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Differential Equations with Boundary Value Problems, 2nd Edition adds additional content to the author’s successful A Course on Ordinary Differential Equations, 2nd Edition. This text addresses the need when the course is expanded. The focus of the text is on applications and methods of solution, both analytical and numerical, with emphasis on methods used in the typical engineering, physics, or mathematics student’s field of study. The text provides sufficient problems so that even the pure math major will be sufficiently challenged. The authors offer a very flexible text to meet a variety of approaches, including a traditional course on the topic. The text can be used in courses when partial differential equations replaces Laplace transforms. There is sufficient linear algebra in the text so that it can be used for a course that combines differential equations and linear algebra. Most significantly, computer labs are given in MATLAB®, Mathematica®, and MapleTM. The book may be used for a course to introduce and equip the student with a knowledge of the given software. Sample course outlines are included. Features MATLAB®, Mathematica®, and MapleTM are incorporated at the end of each chapter All three software packages have parallel code and exercises There are numerous problems of varying difficulty for both the applied and pure math major, as well as problems for engineering, physical science and other students. An appendix that gives the reader a "crash course" in the three software packages Chapter reviews at the end of each chapter to help the students review Projects at the end of each chapter that go into detail about certain topics and introduce new topics that the students are now ready to see Answers to most of the odd problems in the back of the book

Author : Dennis G. Zill
Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.00/5 ( download)

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Download or read book A First Course in Differential Equations with Applications written by Dennis G. Zill and published by . This book was released on 1979 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to differential equations; First-order differential equations; Applications of first-order differential equations; Linear equations of higher order; Applications of second-order differential equations: vibrational models; Differential equations with variable coefficients; The laplace transform; Linear systems of differencial equations; Numerial methods; Partial differential equations.