000 03209nam a22005055i 4500
001 978-0-8176-4715-5
003 DE-He213
005 20140220083711.0
007 cr nn 008mamaa
008 110823s2011 xxu| s |||| 0|eng d
020 _a9780817647155
_9978-0-8176-4715-5
024 7 _a10.1007/978-0-8176-4715-5
_2doi
050 4 _aQA401-425
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
082 0 4 _a530.15
_223
100 1 _aJeevanjee, Nadir.
_eauthor.
245 1 3 _aAn Introduction to Tensors and Group Theory for Physicists
_h[electronic resource] /
_cby Nadir Jeevanjee.
250 _a1.
264 1 _aBoston :
_bBirkhäuser Boston,
_c2011.
300 _aXVI, 242 p. 12 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPart I Linear Algebra and Tensors -- A Quick Introduction to Tensors.- Vector Spaces -- Tensors -- Part II Group Theory -- Groups, Lie Groups, and Lie Algebras.- Basic Representation Theory -- The Winger-Echart Theorem and Other Applications -- Appendix Complexifications of Real Lie Algebras and the Tensor Product Decomposition of sl(2,C)R.- References -- Index.
520 _aAn Introduction to Tensors and Group Theory for Physicists provides both an intuitive and rigorous approach to tensors and groups and their role in theoretical physics and applied mathematics. A particular aim is to demystify tensors and provide a unified framework for understanding them in the context of classical and quantum physics. Connecting the component formalism prevalent in physics calculations with the abstract but more conceptual formulation found in many mathematical texts, the work will be a welcome addition to the literature on tensors and group theory. Part I of the text begins with linear algebraic foundations, follows with the modern component-free definition of tensors, and concludes with applications to classical and quantum physics through the use of tensor products. Part II introduces abstract groups along with matrix Lie groups and Lie algebras, then intertwines this material with that of Part I by introducing representation theory.  Exercises and examples are provided throughout for good practice in applying the presented definitions and techniques. Advanced undergraduate and graduate students in physics and applied mathematics will find clarity and insight into the subject in this textbook.
650 0 _aMathematics.
650 0 _aMatrix theory.
650 0 _aQuantum theory.
650 0 _aMathematical physics.
650 1 4 _aMathematics.
650 2 4 _aMathematical Physics.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
650 2 4 _aApplications of Mathematics.
650 2 4 _aQuantum Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817647148
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-4715-5
912 _aZDB-2-SMA
999 _c105080
_d105080