| Partial Differential Equations in Mechanics 2: The Biharmonic Equation, Poisson's Equation 2000 Edition Contributor(s): Selvadurai, A. P. S. (Author) |
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ISBN: 3540672842 ISBN-13: 9783540672845 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: October 2000 Annotation: This two-volume work mainly addresses undergraduate and gra- duate students in the engineering sciences and applied ma- thematics. Hence it focuses on partial differential equati- ons with a strong emphasis on illustrating important appli- cations in mechanics. The presentation considers the general derivation of partial differential equations and the formu- lation of consistent boundary and initial conditions requi- red to develop well-posed mathematical statements of pro- blems in mechanics. The worked examples within the text and problem sets at the end of each chapter highlight enginee- ring applications. The mathematical developments include a complete discussion of uniqueness theorems and, where rele- vant, a discussion of maximum and miniumum principles. The primary aim of these volumes is to guide the student to pose and model engineering problems, in a mathematically correct manner, within the context of the theory of partial differential equations in mechanics. |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - Partial - Mathematics | Applied - Technology & Engineering | Mechanical |
| Dewey: 531.015 |
| LCCN: 00044024 |
| Physical Information: 1.5" H x 7" W x 10" (3.22 lbs) 698 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: "For he who knows not mathematics cannot know any other sciences; what is more, he cannot discover his own ignorance or find its proper remedies. " [Opus Majus] Roger Bacon (1214-1294) The material presented in these monographs is the outcome of the author's long-standing interest in the analytical modelling of problems in mechanics by appeal to the theory of partial differential equations. The impetus for wri- ting these volumes was the opportunity to teach the subject matter to both undergraduate and graduate students in engineering at several universities. The approach is distinctly different to that which would adopted should such a course be given to students in pure mathematics; in this sense, the teaching of partial differential equations within an engineering curriculum should be viewed in the broader perspective of "The Modelling of Problems in Engineering" . An engineering student should be given the opportunity to appreciate how the various combination of balance laws, conservation equa- tions, kinematic constraints, constitutive responses, thermodynamic restric- tions, etc., culminates in the development of a partial differential equation, or sets of partial differential equations, with potential for applications to en- gineering problems. This ability to distill all the diverse information ab out a physical or mechanical process into partial differential equations is a par- ticular attraction of the subject area. |