LEADER 02864nam 2200685 a 450 001 9910962402903321 005 20250715212350.0 010 $a9781614446040 010 $a1614446040 035 $a(CKB)2560000000081408 035 $a(EBL)3330427 035 $a(SSID)ssj0000577670 035 $a(PQKBManifestationID)11362429 035 $a(PQKBTitleCode)TC0000577670 035 $a(PQKBWorkID)10562409 035 $a(PQKB)11489574 035 $a(Au-PeEL)EBL3330427 035 $a(CaPaEBR)ebr10733070 035 $a(OCoLC)929120365 035 $a(RPAM)15827581 035 $a(MiAaPQ)EBC3330427 035 $a(EXLCZ)992560000000081408 100 $a20090721d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLie groups $ea problem-oriented introduction via matrix groups /$fHarriet Pollatsek 205 $a1st ed. 210 $a[Washington, D.C.] $cMathematical Association of America$dc2009 215 $a1 online resource (190 p.) 225 1 $aAMS/MAA Textbooks,$x2577-1213 ;$vv. 13 225 0$aMAA textbooks 300 $aDescription based upon print version of record. 311 08$a9781470479145 311 08$a1470479141 311 08$a9780883857595 311 08$a0883857596 320 $aIncludes bibliographical references (p. 169-170) and indexes. 327 $a1. Symmetries of vector spaces -- 2. Complex numbers, quaternions and geometry -- 3. Linearization -- 4. One-parameter subgroups and the exponential map -- 5. Lie algebras -- 6. Matrix groups over other fields. 330 $aThis textbook is a complete introduction to Lie groups for undergraduate students. The only prerequisites are multi-variable calculus and linear algebra. The emphasis is placed on the algebraic ideas, with just enough analysis to define the tangent space and the differential and to make sense of the exponential map. This textbook works on the principle that students learn best when they are actively engaged. To this end nearly 200 problems are included in the text, ranging from the routine to the challenging level. Every chapter has a section called "Putting the pieces together" in which all definitions and results are collected for reference and further reading is suggested. 410 0$aMAA Textbooks 606 $aLie groups 606 $aLie groups$vProblems, exercises, etc 606 $aMatrix groups 615 0$aLie groups. 615 0$aLie groups 615 0$aMatrix groups. 676 $a512.482 686 $aSK 340$2rvk 700 $aPollatsek$b Harriet Suzanne Katcher$01798473 712 02$aMathematical Association of America. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910962402903321 996 $aLie groups$94341263 997 $aUNINA