Linear Algebra for Physics

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 t...

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Päätekijät: Papadopoulos, Nikolaos A. (Tekijä), Scheck, Florian (Tekijä)
Yhteisötekijä: SpringerLink (Online service)
Aineistotyyppi: Elektroninen E-kirja
Kieli:englanti
Julkaistu: Cham : Springer International Publishing : Imprint: Springer, 2024.
Painos:1st ed. 2024.
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Linkit:https://doi.org/10.1007/978-3-031-64908-0
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245 1 0 |a Linear Algebra for Physics  |h [electronic resource] /  |c by Nikolaos A. Papadopoulos, Florian Scheck. 
250 |a 1st ed. 2024. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2024. 
300 |a 1 online resource (XVIII, 401 p. 24 illus.). 
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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. 
532 8 |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility 
532 8 |a Inaccessible, or known limited accessibility 
532 8 |a No reading system accessibility options actively disabled 
532 8 |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com 
588 |a Print version record. 
650 0 |a Mathematical physics. 
650 0 |a Algebras, Linear. 
650 1 4 |a Mathematical Methods in Physics. 
650 2 4 |a Linear Algebra. 
650 2 4 |a Mathematical Physics. 
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710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783031649073 
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950 |a Physics and Astronomy (SpringerNature-11651) 
950 |a Physics and Astronomy (R0) (SpringerNature-43715)