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Author:   Jacques Hadamard ,  David Delphenich
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Volume:   No. 113
ISBN:  

9783764399689

ISBN 10:   3764399686
Pages:   300
Publication Date:   December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

Translator's notes. Forword.- 1. The second boundary-value problem of the theory of harmonic functions.- 1.1. Classical properties of harmonic functions.- 1.2. The second boundary problem. Existence of the solution.- 1.3. Case of the plane.- 1.4. Case of space. Application of Neumann's method.- 1.5. The functions of Fr. Neumann and Klein.- 1.6. Case of the sphere. 1.7. Mixed problems. 2. Waves from the kinematical viewpoint.- 2.1Classical results.- 2.2. Study of discontinuities. Identity conditions.- 2.3. Study of discontinuities (cont.). Kinematic compatibility conditions.- 2.4. Study of discontinuities (cont.). Higher-order compatibility conditions.- 3. The formulation of the hydrodynamical problem as an equation.- 3.1. The interior equations and a supplementary condition.- 3.2. Introduction of the boundary conditions.- 4. Rectilinear motion of gases.- 4.1. Case of constant propagation velocity.- 4.2. General case.- 4.3. The Riemann-Hugoniot phenomenon.- 5. Motions in space.- 6. Applications to the theory of elasticity.- 7. The general theory of characteristics.- 7.1. Characteristics and bicharacteristics.- 7.2. Existence theorems.- 7.3. The case of linear equations.- 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.

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Jaques Hadamard (1865-1963) was one of the most influential French mathematicians of the last 150 years. The prime number theorem is one of the most import results of J. Hadamard. But his name has become manifest in many foundational concepts of mathematics (Hadamard matrix, Hadamard inequality, ...). Besides his mathematical research, Hadamard was politically active, e.g. in the Dreyfus affair and during/after World War II.

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