國立虎尾科技大學 |

Linear algebra for physics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Linear algebra for physics/ by Nikolaos A. Papadopoulos, Florian Scheck.
作者:	Papadopoulos, Nikolaos A.
其他作者:	Scheck, Florian.
出版者:	Cham :Springer International Publishing : : 2024.,
面頁冊數:	xviii, 401 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Mathematical Physics. -
電子資源:	https://doi.org/10.1007/978-3-031-64908-0
ISBN:	9783031649080

Linear algebra for physics
Papadopoulos, Nikolaos A.

Linear algebra for physics[electronic resource] /by Nikolaos A. Papadopoulos, Florian Scheck. - Cham :Springer International Publishing :2024. - xviii, 401 p. :ill., digital ;24 cm.

The Role of Group Action -- A Fresh Look at Vector Spaces -- The Role of Bases -- Spacetime and Linear Algebra -- The Role of Matrices -- The Role of Dual Spaces -- The Role of Determinants -- First Look at Tensors -- The Role of Eigenvalues and Eigenvectors -- Operators on Inner Product Spaces -- Positive Operators - Isometries - Real Inner Product Spaces -- Applications -- Duality -- Tensor Formalism.

This textbook provides a full treatment of Linear Algebra devoted to undergraduate and graduate physics students. Although the mathematical level is similar to the corresponding mathematical textbooks in regard to definitions, propositions and proofs, it adopts a language and approach more attuned to the reader's familiarity with physics lectures and physics textbooks. A distinctive feature is the emphasis placed on the significance of bases within a vector space. As a result, students gain a deeper understanding of how vector indices, despite their abundance, serve not as enemies but as friends since they give additional information about the mathematical objects being used, and facilitate access to tensor formalism. The book offers numerous worked examples and exercises with solution hints to deepen this knowledge.

ISBN: 9783031649080

Standard No.: 10.1007/978-3-031-64908-0doiSubjects--Topical Terms:

786661
Mathematical Physics.

LC Class. No.: QA184.2

Dewey Class. No.: 512.5

Linear algebra for physics
LDR:02200nam a2200325 a 4500 001 1138552
003 DE-He213
005 20241014125728.0
006 m d
007 cr nn 008maaau
008 250117s2024 sz s 0 eng d
020 $a 9783031649080 $q (electronic bk.)
020 $a 9783031649073 $q (paper)
024 7 $a 10.1007/978-3-031-64908-0 $2 doi
035 $a 978-3-031-64908-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA184.2
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 512.5 $2 23
090 $a QA184.2 $b .P213 2024
100 1 $a Papadopoulos, Nikolaos A. $3 1462334
245 1 0 $a Linear algebra for physics $h [electronic resource] / $c by Nikolaos A. Papadopoulos, Florian Scheck.
260 $a Cham : $c 2024. $b Springer International Publishing : $b Imprint: Springer,
300 $a xviii, 401 p. : $b ill., digital ; $c 24 cm.
505 0 $a The Role of Group Action -- A Fresh Look at Vector Spaces -- The Role of Bases -- Spacetime and Linear Algebra -- The Role of Matrices -- The Role of Dual Spaces -- The Role of Determinants -- First Look at Tensors -- The Role of Eigenvalues and Eigenvectors -- Operators on Inner Product Spaces -- Positive Operators - Isometries - Real Inner Product Spaces -- Applications -- Duality -- Tensor Formalism.
520 $a This textbook provides a full treatment of Linear Algebra devoted to undergraduate and graduate physics students. Although the mathematical level is similar to the corresponding mathematical textbooks in regard to definitions, propositions and proofs, it adopts a language and approach more attuned to the reader's familiarity with physics lectures and physics textbooks. A distinctive feature is the emphasis placed on the significance of bases within a vector space. As a result, students gain a deeper understanding of how vector indices, despite their abundance, serve not as enemies but as friends since they give additional information about the mathematical objects being used, and facilitate access to tensor formalism. The book offers numerous worked examples and exercises with solution hints to deepen this knowledge.
650 2 4 $a Mathematical Physics. $3 786661
650 2 4 $a Linear Algebra. $3 1207620
650 1 4 $a Mathematical Methods in Physics. $3 670749
650 0 $a Algebras, Linear. $3 528115
700 1 $a Scheck, Florian. $3 673065
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-64908-0
950 $a Physics and Astronomy (SpringerNature-11651)