This seminal work of Hadamard on the mathematical theory of waves was writtenover 100 years ago and it continues to be cited as a reference by researchersin mathematical physics. The reason for the enduring interest in this book can be found in its legacy. The conception of waves as discontinuities in some level of derivative of a wave function that propagate along the bicharacteristics of the wave equation spawned many of the important advances to both the purely mathematical theory of hyperbolic equations, as well as the more physical and engineering-oriented treatments of the subject of wave motion. In mathematics, one can follow the implications of this work into the subsequent lecturesthat Hadamard gave on the Cauchy problem for linear partial differential equations. But one should regard this masterful treatise not only as a precursor to the later lectures on the Cauchy problem, but as a complementary work in which he establishes the roots of the mathematical theory in continuum mechanics.First English translation of a real classic Translator's notes review and summarize the impact of the original work and provide historical background information on the author INDICE: From the contents Translator’s notes. Foreword.- 1. The second boundary-value problem of the theory of harmonic functions.- 2. Waves from the kinematical viewpoint.- 3. The formulation of the hydrodynamical problem as an equation.- 4. Rectilinear motion of gases.- 5. Motions in space.- 6. Applications to the theory of elasticity.- 7. The general theory of characteristics.- Note I. On the Cauchy problem and characteristics. Note II. On slips in fluids. Note III. On the vortices produced by shock waves. Note IV. On reflection in the case of a fixed piston.
- ISBN: 978-3-7643-9968-9
- Editorial: Birkhaüser
- Encuadernacion: Cartoné
- Páginas: 300
- Fecha Publicación: 01/10/2009
- Nº Volúmenes: 1
- Idioma: Inglés