Linear Partial Differential Equations for Scientists and Engineers
One of the most fundamental and active areas in mathematics, the theory of partial differential equations (PDEs) is essential in the modeling of natural phenomena. PDEs have a wide range of interesting and important applications in every branch of applied mathematics, physics, and engineering, inclu...
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| Auteurs principaux: | , , |
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| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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L'impression du document génère 796 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) Version numérique de la quatrième édition |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Linear partial differential equations for scientists and engineers, Tyn Myint-U, Lokenath Debnath, 4th edition, Boston, Birkhäuser, 2007, 1 vol. (XXII-778 p.), 978-0-8176-4393-5 |
| Summary: | One of the most fundamental and active areas in mathematics, the theory of partial differential equations (PDEs) is essential in the modeling of natural phenomena. PDEs have a wide range of interesting and important applications in every branch of applied mathematics, physics, and engineering, including fluid dynamics, elasticity, and optics. This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books, including conservation laws, the spherical wave equation, the cylindrical wave equation, higher-dimensional boundary-value problems, the finite element method, fractional partial differential equations, and nonlinear partial differential equations with applications. Key features include: * Applications to a wide variety of physical problems in numerous interdisciplinary areas * Over 900 worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry * Historical comments on partial differential equations * Solutions and hints to selected exercises * A comprehensive bibliography comprised of many standard texts and reference books, as well as a set of selected classic and recent papers for readers interested in learning more about the modern treatment of the subject Linear Partial Differential Equations for Scientists and Engineers, Fourth Edition will primarily serve as a textbook for the first two courses in PDEs, or in a course on advanced engineering mathematics. The book may also be used as a reference for graduate students, researchers, and professionals in modern applied mathematics, mathematical physics, and engineering. Readers will gain a solid mathematical background in PDEs, sufficient to start interdisciplinary collaborative research in a variety of fields. Also by L. Debnath: Nonlinear Partial Differential Equations for Scientists and Engineers, Second Edition, ISBN 0-8176-4323-0 |
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| Emne beskrivelse: | L'impression du document génère 796 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) Version numérique de la quatrième édition |
| Bibliografi: | Bibliogr. Index |
| ISBN: | 9780817645601 |
| Adgang: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |