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Linear algebra for physics

紀錄類型:	書目-電子資源 : 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.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Algebras, Linear. -
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:

521915
Algebras, Linear.

LC Class. No.: QA184.2

Dewey Class. No.: 512.5

Linear algebra for physics
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245 1 0 $a Linear algebra for physics $h [electronic resource] / $c by Nikolaos A. Papadopoulos, Florian Scheck.
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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 0 $a Algebras, Linear. $3 521915
650 1 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Linear Algebra. $3 3338825
650 2 4 $a Mathematical Physics. $3 1542352
700 1 $a Scheck, Florian. $3 897860
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