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Methods of Mathematical Physics
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Methods of Mathematical Physics
This textbook provides a thorough overview of mathematical physics, highlighting classical topics as well as recent developments. Readers will be introduced to a variety of methods that reflect current trends in research, including the Bergman kernel approach for solving boundary value and spectral problems for PDEs with variable coefficients. With its careful treatment of the fundamentals as well as coverage of topics not often encountered in textbooks, this will be an ideal text for both introductory and more specialized courses. The first five chapters present standard material, including the classification of PDEs, an introduction to boundary value and initial value problems, and an introduction to the Fourier method of separation of variables. More advanced material and specialized treatments follow, including practical methods for solving direct and inverse Sturm-Liouville problems; the theory of parabolic equations, harmonic functions, potential theory, integral equations and the method of non-orthogonal series. Methods of Mathematical Physics is ideal for undergraduate students and can serve as a textbook for a regular course in equations of mathematical physics as well as for more advanced courses on selected topics.
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This textbook provides a thorough overview of mathematical physics, highlighting classical topics as well as recent developments. Readers will be introduced to a variety of methods that reflect current trends in research, including the Bergman kernel approach for solving boundary value and spectral problems for PDEs with variable coefficients. With its careful treatment of the fundamentals as well as coverage of topics not often encountered in textbooks, this will be an ideal text for both introductory and more specialized courses. The first five chapters present standard material, including the classification of PDEs, an introduction to boundary value and initial value problems, and an introduction to the Fourier method of separation of variables. More advanced material and specialized treatments follow, including practical methods for solving direct and inverse Sturm-Liouville problems; the theory of parabolic equations, harmonic functions, potential theory, integral equations and the method of non-orthogonal series. Methods of Mathematical Physics is ideal for undergraduate students and can serve as a textbook for a regular course in equations of mathematical physics as well as for more advanced courses on selected topics.
Produktdetaljer
Sprog: Engelsk
Sider: 405
ISBN-13: 9783031178474
Indbinding: Paperback
Udgave:
ISBN-10: 3031178475
Kategori: Matematisk fysik
Udg. Dato: 18 nov 2023
Længde: 0mm
Bredde: 235mm
Højde: 155mm
Oplagsdato: 18 nov 2023
Forfatter(e) Vladislav V. Kravchenko, Alexey N. Karapetyants


Kategori Matematisk fysik


Sprog Engelsk


Indbinding Paperback


Sider 405


Udgave


Længde 0mm


Bredde 235mm


Højde 155mm


Udg. Dato 18 nov 2023


Oplagsdato 18 nov 2023

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