Methods of Mathematical Physics: Classical and Modern

Author:   Alexey N. Karapetyants ,  Vladislav V. Kravchenko
Publisher:   Birkhauser Verlag AG
Edition:   1st ed. 2022
ISBN:  

9783031178474


Pages:   405
Publication Date:   18 November 2023
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Methods of Mathematical Physics: Classical and Modern


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Author:   Alexey N. Karapetyants ,  Vladislav V. Kravchenko
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1st ed. 2022
Weight:   0.640kg
ISBN:  

9783031178474


ISBN 10:   3031178475
Pages:   405
Publication Date:   18 November 2023
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Introduction.- Classification of PDEs.- Models of mathematical physics.- Boundary value problems.- Cauchy problem for hyperbolic equations.- Fourier method for the wave equation.- Sturm-Liouville problems.- Boundary value problems for the heat equation.- Harmonic functions and their properties.- Boundary value problems for the Laplace equation.- Potential theory.- Elements of theory of integral equations.- Solution of boundary value problems for the Laplace equation.- Helmholtz equation.- Method of non-orthogonal series.- Bergman kernel approach.- Bibliography.- Index.

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Author Information

Alexey N. Karapetyants is professor of the Institute of Mathematics, Mechanics and Computer Sciences and director of Regional Mathematical Center at the Southern Federal University, Rostov-on-Don, Russia. His research interests include operator theory, mathematical physics, harmonic analysis: real and complex variable methods, and functional analysis. Vladislav V. Kravchenko is a researcher in the Department of Mathematics of Center for Research and Advanced Studies of the National Polytechnic Institute, Campus Queretaro, Mexico. His research interests include mathematical physics, differential equations, complex and hypercomplex analysis, spectral theory, and inverse problems. 

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