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Ordinary Differential Equations with Applications to Mechanics

  • Book
  • © 2007

Overview

Authors:
  1. Mircea V. Soare

    1. Technical University of Civil Engineering, Romania

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  2. Petre P. Teodorescu

    1. Faculty of Mathematics, University of Bucharest, Romania

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  3. Ileana Toma

    1. Dept. of Mathematics and Informatics, Technical University of Civil Engineering, Romania

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  • An interdisciplinary work creating a bridge between the mathematical and the technical disciplines by providing a strong mathematical tool

Part of the book series: Mathematics and Its Applications (MAIA, volume 585)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-10
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  2. Linear ODEs of First and Second Order

    • Mircea V. Soare, Petre P. Teodorescu, Ileana Toma
    Pages 11-130

  3. Linear ODEs Of Higher Order (n > 2)

    • Mircea V. Soare, Petre P. Teodorescu, Ileana Toma
    Pages 131-207

  4. Linear ODSs of First Order

    • Mircea V. Soare, Petre P. Teodorescu, Ileana Toma
    Pages 209-237

  5. Non-Linear ODEs Of First and Second Order

    • Mircea V. Soare, Petre P. Teodorescu, Ileana Toma
    Pages 239-364

  6. Non-Linear ODSs of First Order

    • Mircea V. Soare, Petre P. Teodorescu, Ileana Toma
    Pages 365-414

  7. Variational Calculus

    • Mircea V. Soare, Petre P. Teodorescu, Ileana Toma
    Pages 415-450

  8. Stability

    • Mircea V. Soare, Petre P. Teodorescu, Ileana Toma
    Pages 451-482

  9. Back Matter

    Pages 483-488
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About this book

The present book has its source in the authors’ wish to create a bridge between mathematics and the technical disciplines that need a good knowledge of a strong mathematical tool. The authors tried to reflect a common experience of the University of Bucharest, Faculty of Mathematics and of the Technical University of Civil Engineering of Bucharest. The necessity of such an interdisciplinary work drove the authors to publish a first book with this aim (“Ecua ?ii diferen ?iale cu aplica ?ii în mecanica construc ?iilor” – Ordinary differential equations with applications to the mechanics of constructions, Editura Tehnic?, Bucharest, Romania). The present book is a new edition of the volume published in 1999. Unfortunately, the first author (M.V. Soare) passed away shortly before the publication of the Romanian edition, so that the present work is only due to the other two authors. It contains many improvements concerning the theoretical (mathematical) information, as well as new topics, using enlarged and updated references. We considered only ordinary differential equations and their solutions in an analytical frame, leaving aside their numerical approach. Compared to the Romanian edition, this volume presents the applications in a new way.

Reviews

From the reviews:

"The purpose of this book is to present a large variety of examples from mechanics which illustrate numerous applications of the elementary theory of ordinary differential equations. It is intended primarily for the use of engineers, physicists and applied mathematicians … . It may be also useful for students who will be using the ODEs. The book contains an introduction and seven chapters. … Each chapter is provided with many illustrative and applicable examples and an Index is also added, including applications." (Antonio Cañada Villar, Zentralblatt MATH, Vol. 1123 (1), 2008)

"The goal of the authors of this introductory book on ordinary differential equations (ODEs) is to create a bridge between the mathematical and the technical disciplines. This book is a translation of the Romanian edition … . the authors wrote an interesting book for technical engineers and applied mathematicians who are interested in ODEs and in mechanics." (Wim T. van Horssen, Mathematical Reviews, Issue 2008 c)

Authors and Affiliations

  • Technical University of Civil Engineering, Romania

    Mircea V. Soare

  • Faculty of Mathematics, University of Bucharest, Romania

    Petre P. Teodorescu

  • Dept. of Mathematics and Informatics, Technical University of Civil Engineering, Romania

    Ileana Toma

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