Author: N. Finizio
Publisher: Brooks/Cole
ISBN:
Category : Mathematics
Languages : en
Pages : 460

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Book Description

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.

Author: M. Braun
Publisher: Springer Science & Business Media
ISBN: 1475749694
Category : Mathematics
Languages : en
Pages : 733

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Book Description
For the past several years the Division of Applied Mathematics at Brown University has been teaching an extremely popular sophomore level differential equations course. The immense success of this course is due primarily to two fac tors. First, and foremost, the material is presented in a manner which is rigorous enough for our mathematics and ap plied mathematics majors, but yet intuitive and practical enough for our engineering, biology, economics, physics and geology majors. Secondly, numerous case histories are given of how researchers have used differential equations to solve real life problems. This book is the outgrowth of this course. It is a rigorous treatment of differential equations and their appli cations, and can be understood by anyone who has had a two semester course in Calculus. It contains all the material usually covered in a one or two semester course in differen tial equations. In addition, it possesses the following unique features which distinguish it from other textbooks on differential equations.

Author: E. C. Zachmanoglou
Publisher: Courier Corporation
ISBN: 048613217X
Category : Mathematics
Languages : en
Pages : 434

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Book Description
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.

Author: W S Weiglhofer
Publisher: Elsevier
ISBN: 0857099736
Category : Mathematics
Languages : en
Pages : 228

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Book Description
This introductory text presents ordinary differential equations with a modern approach to mathematical modelling in a one semester module of 20–25 lectures. - Presents ordinary differential equations with a modern approach to mathematical modelling - Discusses linear differential equations of second order, miscellaneous solution techniques, oscillatory motion and laplace transform, among other topics - Includes self-study projects and extended tutorial solutions

Author: Larry C. Andrews
Publisher: Pearson Scott Foresman
ISBN:
Category : Differential equations
Languages : en
Pages : 360

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Book Description

Author: Richard Bellman
Publisher: Courier Corporation
ISBN: 9780486686431
Category : Mathematics
Languages : en
Pages : 260

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Book Description
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: George Moseley Murphy
Publisher: Courier Corporation
ISBN: 0486485919
Category : Mathematics
Languages : en
Pages : 466

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Book Description
This treatment presents most of the methods for solving ordinary differential equations and systematic arrangements of more than 2,000 equations and their solutions. The material is organized so that standard equations can be easily found. Plus, the substantial number and variety of equations promises an exact equation or a sufficiently similar one. 1960 edition.

Author: Shepley L. Ross
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 736

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Book Description
Fundamental methods and applications; Fundamental theory and further methods;

Author: Steven G. Krantz
Publisher: CRC Press
ISBN: 1498735029
Category : Mathematics
Languages : en
Pages : 481

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Book Description
Differential Equations: Theory, Technique, and Practice with Boundary Value Problems presents classical ideas and cutting-edge techniques for a contemporary, undergraduate-level, one- or two-semester course on ordinary differential equations. Authored by a widely respected researcher and teacher, the text covers standard topics such as partial diff