Ordinary Differential Equations, Elementary and Intermediate Topics with Applications

Ordinary Differential Equations, Elementary and Intermediate Topics with Applications PDF Author: Frederick Brauer
Publisher:
ISBN:
Category :
Languages : en
Pages : 555

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Ordinary Differential Equations, Elementary and Intermediate Topics with Applications

Ordinary Differential Equations, Elementary and Intermediate Topics with Applications PDF Author: Frederick Brauer
Publisher:
ISBN:
Category :
Languages : en
Pages : 555

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Book Description


Elementary Differential Equations with Boundary Value Problems

Elementary Differential Equations with Boundary Value Problems PDF Author: William F. Trench
Publisher: Thomson Brooks/Cole
ISBN:
Category : Mathematics
Languages : en
Pages : 764

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Book Description
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.

Ordinary Differential Equations and Linear Algebra

Ordinary Differential Equations and Linear Algebra PDF Author: Todd Kapitula
Publisher: SIAM
ISBN: 1611974097
Category : Mathematics
Languages : en
Pages : 308

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Book Description
Ordinary differential equations (ODEs) and linear algebra are foundational postcalculus mathematics courses in the sciences. The goal of this text is to help students master both subject areas in a one-semester course. Linear algebra is developed first, with an eye toward solving linear systems of ODEs. A computer algebra system is used for intermediate calculations (Gaussian elimination, complicated integrals, etc.); however, the text is not tailored toward a particular system. Ordinary Differential Equations and Linear Algebra: A Systems Approach systematically develops the linear algebra needed to solve systems of ODEs and includes over 15 distinct applications of the theory, many of which are not typically seen in a textbook at this level (e.g., lead poisoning, SIR models, digital filters). It emphasizes mathematical modeling and contains group projects at the end of each chapter that allow students to more fully explore the interaction between the modeling of a system, the solution of the model, and the resulting physical description.

University of Michigan Official Publication

University of Michigan Official Publication PDF Author:
Publisher: UM Libraries
ISBN:
Category : Education, Higher
Languages : en
Pages : 938

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Catalogue of the University of Michigan

Catalogue of the University of Michigan PDF Author: University of Michigan
Publisher:
ISBN:
Category :
Languages : en
Pages : 1084

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Book Description
Announcements for the following year included in some vols.

Intermediate Calculus

Intermediate Calculus PDF Author: Murray H. Protter
Publisher: Springer Science & Business Media
ISBN: 1461210860
Category : Mathematics
Languages : en
Pages : 665

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Choice

Choice PDF Author: Richard K. Gardner
Publisher:
ISBN:
Category : Best books
Languages : en
Pages : 992

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Differential Equations: Theory and Applications

Differential Equations: Theory and Applications PDF Author: David Betounes
Publisher: Springer Science & Business Media
ISBN: 1475749716
Category : Mathematics
Languages : en
Pages : 686

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Book Description
This book provides a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical systems as important applications of the theory. The text is written to be used in the traditional way or in a more applied way. The accompanying CD contains Maple worksheets for the exercises, and special Maple code for performing various tasks. In addition to its use in a traditional one or two semester graduate course in mathematics, the book is organized to be used for interdisciplinary courses in applied mathematics, physics, and engineering.

Ordinary Differential Equations with Applications

Ordinary Differential Equations with Applications PDF Author: Carmen Chicone
Publisher: Springer Science & Business Media
ISBN: 0387226230
Category : Mathematics
Languages : en
Pages : 569

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Book Description
Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second semester, these ideas can be expanded by introducing more advanced concepts and applications. A central theme in the book is the use of Implicit Function Theorem, while the latter sections of the book introduce the basic ideas of perturbation theory as applications of this Theorem. The book also contains material differing from standard treatments, for example, the Fiber Contraction Principle is used to prove the smoothness of functions that are obtained as fixed points of contractions. The ideas introduced in this section can be extended to infinite dimensions.

Linear Ordinary Differential Equations

Linear Ordinary Differential Equations PDF Author: Earl A. Coddington
Publisher: SIAM
ISBN: 0898713889
Category : Mathematics
Languages : en
Pages : 341

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Book Description
A thorough development of the main topics in linear differential equations with applications, examples, and exercises illustrating each topic.