applied differential equations the primary course textbooks in mathematics

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Applied Differential Equations

Author : Vladimir A. Dobrushkin
ISBN : 1439851042
Genre : Computers
File Size : 72. 46 MB
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"Applied Differential Equations: The Primary Course presents a contemporary treatment of ordinary differential equations, including their applications in engineering and the sciences. The text enables students majoring in a range of fields to obtain a solid foundation. Developed as a primary text for the author's two-semester course offered in an applied mathematics department, the text offers a true alternative to texts originally published for previous generations. This interesting new approach contains practical techniques for solving the equations as well as corresponding codes for numerical solvers. Many examples and exercises help students master effective solution techniques, including reliable numerical approximations. The author covers tradtional material, along with novel approaches to mathematical modeling that harness the capabilities of numerical algorithms and popular computer software packages"--Back cover.

Applied Differential Equations

Author :
ISBN : OCLC:909989718
Genre :
File Size : 29. 35 MB
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Differential Equations Dynamical Systems And An Introduction To Chaos

Author : Morris W. Hirsch
ISBN : 9780123820105
Genre : Mathematics
File Size : 61. 52 MB
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Hirsch, Devaney, and Smale's classic Differential Equations, Dynamical Systems, and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations. It provides a theoretical approach to dynamical systems and chaos written for a diverse student population among the fields of mathematics, science, and engineering. Prominent experts provide everything students need to know about dynamical systems as students seek to develop sufficient mathematical skills to analyze the types of differential equations that arise in their area of study. The authors provide rigorous exercises and examples clearly and easily by slowly introducing linear systems of differential equations. Calculus is required as specialized advanced topics not usually found in elementary differential equations courses are included, such as exploring the world of discrete dynamical systems and describing chaotic systems. Classic text by three of the world's most prominent mathematicians Continues the tradition of expository excellence Contains updated material and expanded applications for use in applied studies

A First Course In Ordinary Differential Equations

Author : Martin Hermann
ISBN : 9788132218357
Genre : Mathematics
File Size : 71. 80 MB
Format : PDF, ePub
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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.

A First Course In Differential Equations

Author : J David Logan
ISBN : 9783319178523
Genre : Mathematics
File Size : 80. 72 MB
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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. From the reviews of the second edition: “The coverage of linear systems in the plane is nicely detailed and illustrated. ...Simple numerical methods are illustrated and the use of Maple and MATLAB is encouraged. ...select Dave Logan’s new and improved text for my course.” —Robert E. O’Malley, Jr., SIAM Review, Vol. 53 (2), 2011 “Aims to provide material for a one-semester course that emphasizes the basic ideas, solution methods, and an introduction to modeling. ...The book that results offers a concise introduction to the subject for students of mathematics, science and engineering who have completed the introductory calculus sequence. ...This book is worth a careful look as a candidate text for the next differential equations course you teach.” —William J. Satzer, MAA Reviews, January, 2011

Beginning Partial Differential Equations

Author : Peter V. O'Neil
ISBN : 0471238872
Genre : Mathematics
File Size : 86. 24 MB
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An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.

Modelling With Ordinary Differential Equations

Author : T.P. Dreyer
ISBN : 0849386365
Genre : Mathematics
File Size : 54. 8 MB
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Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations. Each situation highlights a different aspect of the theory or modeling. Carefully selected exercises and projects present excellent opportunities for tutorial sessions and self-study. This text/reference addresses common types of first order ordinary differential equations and the basic theory of linear second order equations with constant coefficients. It also explores the elementary theory of systems of differential equations, Laplace transforms, and numerical solutions. Theorems on the existence and uniqueness of solutions are a central feature. Topics such as curve fitting, time-delay equations, and phase plane diagrams are introduced. The book includes algorithms for computer programs as an integral part of the answer-finding process. Professionals and students in the social and biological sciences, as well as those in physics and mathematics will find this text/reference indispensable for self-study.

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