A. P. S. Selvadurai

Partial Differential Equations in Mechanics 1

Fundamentals, Laplace's Equation, Diffusion Equation, Wave Equation

• Gebundenes Buch

Produktbeschreibung

The two-volume work mainly addresses undergraduate and graduate students in the engineering sciences and applied mathematics. Hence it focuses on partial differential equations with a strong emphasis on illustrating important applications in mechanics. The presentation considers the general derivation of partial differential equations and the formulation of consistent boundary and initial conditions required to develop well-posed mathematical statements of problems in mechanics. The worked examples within the text and problem sets at the end of each chapter highlight engineering applications. The mathematical developments include a complete discussion of uniqueness theorems and, where relevant, 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.

Produktdetails

• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-67283-8
• 2000.
• Seitenzahl: 620
• Erscheinungstermin: 19. Oktober 2000
• Englisch
• Abmessung: 260mm x 183mm x 38mm
• Gewicht: 1310g
• ISBN-13: 9783540672838
• ISBN-10: 3540672834
• Artikelnr.: 09174043

Inhaltsangabe

1. Mathematical preliminaries.- 2. General concepts in partial differential equations.- 3. Partial differential equations of the first-order.- 4. Partial differential equations of the second-order.- 5. Laplace's equation.- 6. The diffusion equation.- 7. The wave equation.

Rezensionen

From the reviews: CHOICE MAGAZINE "The text is generally well written with exact statements of theorems, clear proofs, many applied or engineering examples, and physical derivations of PDE systems...Upper-division undergraduates through professionals."