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Linear algebra for physics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Linear algebra for physicsby Nikolaos A. Papadopoulos, Florian Scheck.
Author:	Papadopoulos, Nikolaos A.
other author:	Scheck, Florian.
Published:	Cham :Springer International Publishing :2024.
Description:	xviii, 401 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Algebras, Linear.
Online resource:	https://doi.org/10.1007/978-3-031-64908-0
ISBN:	9783031649080$q(electronic bk.)

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$q(electronic bk.)

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

183087
Algebras, Linear.

LC Class. No.: QA184.2

Dewey Class. No.: 512.5

Linear algebra for physics
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100 1 $a Papadopoulos, Nikolaos A. $3 984574
245 1 0 $a Linear algebra for physics $h [electronic resource] / $c by Nikolaos A. Papadopoulos, Florian Scheck.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2024.
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 183087
650 1 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Linear Algebra. $3 821215
650 2 4 $a Mathematical Physics. $3 522725
700 1 $a Scheck, Florian. $3 252850
710 2 $a SpringerLink (Online service) $3 273601
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)