Ordinary Differential Equations Book
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Ordinary Differential Equations

  • Author : Morris Tenenbaum
  • Publisher : Courier Corporation
  • Release Date : 1985-10-01
  • Genre: Mathematics
  • Pages : 852
  • ISBN 10 : 9780486649405
  • Total Read : 97
  • File Size : 10,5 Mb

Ordinary Differential Equations Summary:

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

Solving Ordinary Differential Equations I Book

Solving Ordinary Differential Equations I

  • Author : Ernst Hairer
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-04-03
  • Genre: Mathematics
  • Pages : 528
  • ISBN 10 : 9783540788621
  • Total Read : 94
  • File Size : 17,6 Mb

Solving Ordinary Differential Equations I Summary:

This book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the classical theory, and the second chapter includes a modern treatment of Runge-Kutta and extrapolation methods. Chapter three begins with the classical theory of multistep methods, and concludes with the theory of general linear methods. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs which help him/her learn to solve all kinds of ordinary differential equations. This new edition has been rewritten and new material has been included.

Ordinary Differential Equations Book

Ordinary Differential Equations

  • Author : Wolfgang Walter
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-11
  • Genre: Mathematics
  • Pages : 384
  • ISBN 10 : 9781461206019
  • Total Read : 93
  • File Size : 9,5 Mb

Ordinary Differential Equations Summary:

Based on a translation of the 6th edition of Gewöhnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important subjects not found in the German text as well as material that is seldom found in textbooks, such as new proofs for basic theorems. This unique feature of the book calls for a closer look at contents and methods with an emphasis on subjects outside the mainstream. Exercises, which range from routine to demanding, are dispersed throughout the text and some include an outline of the solution. Applications from mechanics to mathematical biology are included and solutions of selected exercises are found at the end of the book. It is suitable for mathematics, physics, and computer science graduate students to be used as collateral reading and as a reference source for mathematicians. Readers should have a sound knowledge of infinitesimal calculus and be familiar with basic notions from linear algebra; functional analysis is developed in the text when needed.

Ordinary Differential Equations  Basics and Beyond Book

Ordinary Differential Equations Basics and Beyond

  • Author : David G. Schaeffer
  • Publisher : Springer
  • Release Date : 2016-11-10
  • Genre: Mathematics
  • Pages : 542
  • ISBN 10 : 9781493963898
  • Total Read : 64
  • File Size : 19,5 Mb

Ordinary Differential Equations Basics and Beyond Summary:

This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos). While proofs are rigorous, the exposition is reader-friendly, aiming for the informality of face-to-face interactions. A unique feature of this book is the integration of rigorous theory with numerous applications of scientific interest. Besides providing motivation, this synthesis clarifies the theory and enhances scientific literacy. Other features include: (i) a wealth of exercises at various levels, along with commentary that explains why they matter; (ii) figures with consistent color conventions to identify nullclines, periodic orbits, stable and unstable manifolds; and (iii) a dedicated website with software templates, problem solutions, and other resources supporting the text (www.math.duke.edu/ode-book). Given its many applications, the book may be used comfortably in science and engineering courses as well as in mathematics courses. Its level is accessible to upper-level undergraduates but still appropriate for graduate students. The thoughtful presentation, which anticipates many confusions of beginning students, makes the book suitable for a teaching environment that emphasizes self-directed, active learning (including the so-called inverted classroom).

Ordinary Differential Equations in Rn Book

Ordinary Differential Equations in Rn

  • Author : Livio C. Piccinini
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Mathematics
  • Pages : 385
  • ISBN 10 : 9781461251880
  • Total Read : 77
  • File Size : 9,9 Mb

Ordinary Differential Equations in Rn Summary:

During the fifties, one of the authors, G. Stampacchia, had prepared some lecture notes on ordinary differential equations for a course in ad analysis. These remained for a long time unused because he was no vanced longer very interested in the study of such equations. We now see, though, that numerous applications to biology, chemistry, economics, and medicine have recently been added to the traditional ones in mechanics; also, there has been in these last years a reemergence of interest in nonlinear analy sis, of which the theory of ordinary differential euqations is one of the principal sources of methods and problems. Hence the idea to write a book. Our text, based on the old notes and experience gained in many courses, seminars, and conferences, both in Italy and abroad, aims to give a simple and rapid introduction to the various themes, problems, and methods of the theory of ordinary differential equations. The book has been conceived in such a way so that even the reader who has merely had a first course in calculus may be able to study it and to obtain a panoramic vision of the theory. We have tried to avoid abstract formalism, preferring instead a discursive style, which should make the book accessible to engineers and physicists without specific preparation in modern mathematics. For students of mathematics, it pro vides motivation for the subject of more advanced analysis courses.

Ordinary Differential Equations Book

Ordinary Differential Equations

  • Author : Hartmut Logemann
  • Publisher : Springer
  • Release Date : 2014-07-08
  • Genre: Mathematics
  • Pages : 333
  • ISBN 10 : 9781447163985
  • Total Read : 90
  • File Size : 12,5 Mb

Ordinary Differential Equations Summary:

The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature. The following topics are particularly emphasised: • existence, uniqueness and continuation of solutions, • continuous dependence on initial data, • flows, • qualitative behaviour of solutions, • limit sets, • stability theory, • invariance principles, • introductory control theory, • feedback and stabilization. The last two items cover classical control theoretic material such as linear control theory and absolute stability of nonlinear feedback systems. It also includes an introduction to the more recent concept of input-to-state stability. Only a basic grounding in linear algebra and analysis is assumed. Ordinary Differential Equations will be suitable for final year undergraduate students of mathematics and appropriate for beginning postgraduates in mathematics and in mathematically oriented engineering and science.

Handbook of Ordinary Differential Equations Book

Handbook of Ordinary Differential Equations

  • Author : Andrei D. Polyanin
  • Publisher : CRC Press
  • Release Date : 2017-11-15
  • Genre: Mathematics
  • Pages : 1767
  • ISBN 10 : 9781351643917
  • Total Read : 66
  • File Size : 15,7 Mb

Handbook of Ordinary Differential Equations Summary:

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more. This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.

Nonlinear Ordinary Differential Equations Book

Nonlinear Ordinary Differential Equations

  • Author : Dominic Jordan
  • Publisher : Oxford University Press on Demand
  • Release Date : 2007-08-23
  • Genre: Language Arts & Disciplines
  • Pages : 541
  • ISBN 10 : 9780199208241
  • Total Read : 82
  • File Size : 6,7 Mb

Nonlinear Ordinary Differential Equations Summary:

Thoroughly updated and expanded 4th edition of the classic text, including numerous worked examples, diagrams and exercises. An ideal resource for students and lecturers in engineering, mathematics and the sciences it is published alongside a separate Problems and Solutions Sourcebook containing over 500 problems and fully-worked solutions.