Name: Equations of Mathematical Physics. Generalized Functions and Historical Notes
SKU: 64789876
Price: 148.28 EUR
Availability: InStock
Author: A. S. Demidov

portada Equations of Mathematical Physics. Generalized Functions and Historical Notes

Equations of Mathematical Physics. Generalized Functions and Historical Notes

Type

Physical Book

Publisher

Springer International Publishing AG

Author

A. S. Demidov

Year

2024

Pages

248

Format

Paperback

Dimensions

23.5x15.5 cm

ISBN13

9783031303609

Equations of Mathematical Physics. Generalized Functions and Historical Notes

A. S. Demidov (Author) · Springer International Publishing AG · Paperback

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Synopsis "Equations of Mathematical Physics. Generalized Functions and Historical Notes"

This concise volume presents an overview of equations of mathematical physics and generalized functions. While intended for advanced readers, the accessible introduction and text structure allows beginners to study at their own pace as the material gradually increases in difficulty. The text introduces the concept of generalized Sobolev functions and L. Schwartz distributions briefly in the opening section, gradually approaching a more in-depth study of the “generalized” differential equation (also known as integral equality). In contrast to the traditional presentation of generalized Sobolev functions and L. Schwartz distributions, this volume derives the topology from two natural requirements (which are equivalent to it). The text applies the same approach to the theory of the canonical Maslov operator. It also features illustrative drawings and helpful supplementary reading in the footnotes concerning historical and bibliographic information related to the subject of the book. Additionally, the book devotes a special chapter to the application of the theory of pseudodifferential operators and Sobolev spaces to the inverse magneto/electroencephalography problem. Explicit numerically realizable formulas related to the Cauchy problem for elliptic equations (including quasilinear ones) and also to the Poincaré--Steklov operators are presented. The book is completed by three additions, which were written by famous mathematicians Yu. V. Egorov, A. B. Antonevich, and S. N. Samborski.