02864nam 2200685 a 450 991096240290332120250715212350.097816144460401614446040(CKB)2560000000081408(EBL)3330427(SSID)ssj0000577670(PQKBManifestationID)11362429(PQKBTitleCode)TC0000577670(PQKBWorkID)10562409(PQKB)11489574(Au-PeEL)EBL3330427(CaPaEBR)ebr10733070(OCoLC)929120365(RPAM)15827581(MiAaPQ)EBC3330427(EXLCZ)99256000000008140820090721d2009 uy 0engur|n|---|||||txtccrLie groups a problem-oriented introduction via matrix groups /Harriet Pollatsek1st ed.[Washington, D.C.] Mathematical Association of Americac20091 online resource (190 p.)AMS/MAA Textbooks,2577-1213 ;v. 13MAA textbooksDescription based upon print version of record.9781470479145 1470479141 9780883857595 0883857596 Includes bibliographical references (p. 169-170) and indexes.1. 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.This 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.MAA TextbooksLie groupsLie groupsProblems, exercises, etcMatrix groupsLie groups.Lie groupsMatrix groups.512.482SK 340rvkPollatsek Harriet Suzanne Katcher1798473Mathematical Association of America.MiAaPQMiAaPQMiAaPQBOOK9910962402903321Lie groups4341263UNINA