LEADER 03623nam 22005775 450 001 9910739450203321 005 20251008131354.0 010 $a9783031312182 010 $a303131218X 024 7 $a10.1007/978-3-031-31218-2 035 $a(CKB)27965522400041 035 $a(DE-He213)978-3-031-31218-2 035 $a(PPN)272272523 035 $a(MiAaPQ)EBC30682612 035 $a(Au-PeEL)EBL30682612 035 $a(MiAaPQ)EBC30766875 035 $a(Au-PeEL)EBL30766875 035 $a(EXLCZ)9927965522400041 100 $a20230809d2023 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aProblems and Solutions on Vector Spaces for Physicists $eFrom Part I in Mathematical Physics?A Modern Introduction to Its Foundations /$fby Robert B. Scott 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (XV, 178 p. 2 illus.) 311 08$a9783031312175 327 $aMathematical Preliminaries -- Vectors and Linear Maps -- Algebras -- Operator Algebra -- Matrices -- Spectral Decomposition. 330 $aThis book offers supporting material for the comprehensive textbook Mathematical Physics?A Modern Introduction to Its Foundations authored by Sadri Hassani. The book covers mathematical preliminaries and all of Part I in Hassani?s textbook. The subjects covered here include the key topics necessary for physicists to form a solid mathematical foundation: vectors and linear maps, algebras, operators, matrices, and spectral decomposition. In particular, the vector space concept is a central unifying theme in later chapters of Hassani?s textbook. Detailed solutions are provided to one third of the end-of-chapter exercises in the first six chapters of his text. The present volume helps upper-undergraduate and early postgraduate physics students deepen their understanding of the mathematics that they encounter in physics, learn physics more efficiently, and use mathematics with more confidence and creativity. The content is thus presented rigorously but remains accessible tophysics students. New exercises are also proposed, some with solutions, some without, so that the total number of unsolved exercises remains unchanged. They are chosen to help explain difficult concepts, amplify key points in Hassani's textbook, or make further connections with applications in physics. Taken together with Hassani's work, the two form a self-contained set and the solutions make detailed reference to Hassani's text. The solutions also refer to other mathematics and physics textbooks, providing entry points to further literature that finds a useful place in the physicist's personal library. 606 $aMathematical physics 606 $aMathematics 606 $aMathematical Methods in Physics 606 $aTheoretical, Mathematical and Computational Physics 606 $aApplications of Mathematics 615 0$aMathematical physics. 615 0$aMathematics. 615 14$aMathematical Methods in Physics. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aApplications of Mathematics. 676 $a530.15 676 $a530.151252 700 $aScott$b Robert B$4aut$4http://id.loc.gov/vocabulary/relators/aut$06557 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910739450203321 996 $aProblems and Solutions on Vector Spaces for Physicists$93564191 997 $aUNINA