東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Equations of mathematical physics = ...

Demidov, A. S.

FindBook

Google Book

Amazon

博客來

Equations of mathematical physics = generalized functions and historical notes /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Equations of mathematical physics/ by A. S. Demidov.
其他題名:	generalized functions and historical notes /
作者:	Demidov, A. S.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xv, 248 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Mathematical physics. -
電子資源:	https://doi.org/10.1007/978-3-031-30358-6
ISBN:	9783031303586

Equations of mathematical physics = generalized functions and historical notes /
Demidov, A. S.

Equations of mathematical physicsgeneralized functions and historical notes /[electronic resource] :by A. S. Demidov. - Cham :Springer International Publishing :2023. - xv, 248 p. :ill., digital ;24 cm.

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.

ISBN: 9783031303586

Standard No.: 10.1007/978-3-031-30358-6doiSubjects--Topical Terms:

516853
Mathematical physics.

LC Class. No.: QC20 / .D46 2023

Dewey Class. No.: 530.15

Equations of mathematical physics = generalized functions and historical notes /
LDR:02489nmm a2200313 a 4500 001 2332371
003 DE-He213
005 20230627164723.0
006 m d
007 cr nn 008maaau
008 240402s2023 sz s 0 eng d
020 $a 9783031303586 $q (electronic bk.)
020 $a 9783031303579 $q (paper)
024 7 $a 10.1007/978-3-031-30358-6 $2 doi
035 $a 978-3-031-30358-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QC20 $b .D46 2023
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 530.15 $2 23
090 $a QC20 $b .D379 2023
100 1 $a Demidov, A. S. $3 3662223
245 1 0 $a Equations of mathematical physics $h [electronic resource] : $b generalized functions and historical notes / $c by A. S. Demidov.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a xv, 248 p. : $b ill., digital ; $c 24 cm.
520 $a 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.
650 0 $a Mathematical physics. $3 516853
650 1 4 $a Functional Analysis. $3 893943
650 2 4 $a Mathematical Physics. $3 1542352
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-30358-6
950 $a Mathematics and Statistics (SpringerNature-11649)