LEADER 01145nam 2200337Ia 450 001 996386625703316 005 20221102112931.0 035 $a(CKB)1000000000614548 035 $a(EEBO)2240883380 035 $a(OCoLC)45504675 035 $a(EXLCZ)991000000000614548 100 $a20001208d1647 uy 0 101 0 $aeng 135 $aurbn||||a|bb| 200 03$aAn Account of what captives hath been freed since the 14th of December, Anno Dom. 1647$b[electronic resource] 210 $aLondon $cPrinted for Edward Husband, Printer to the Honorable House of Commons$d1647 215 $a8 p 300 $aCaption title. 300 $aImprint from colophon. 300 $aImperfect: stained. 300 $aReproduction of original in: Sutro Library. 330 $aeebo-0111 606 $aPrisoners$zGreat Britain$vEarly works to 1800 607 $aGreat Britain$xHistory$yCivil War, 1642-1649 615 0$aPrisoners 801 0$bEAE 801 1$bEAE 906 $aBOOK 912 $a996386625703316 996 $aAn Account of what captives hath been freed since the 14th of December, Anno Dom. 1647$92388922 997 $aUNISA LEADER 03131nam 22005895 450 001 9910958985703321 005 20250818110059.0 010 $a1-4757-6898-2 024 7 $a10.1007/978-1-4757-6898-5 035 $a(CKB)2660000000024770 035 $a(SSID)ssj0000963215 035 $a(PQKBManifestationID)11525809 035 $a(PQKBTitleCode)TC0000963215 035 $a(PQKBWorkID)10976242 035 $a(PQKB)11352118 035 $a(DE-He213)978-1-4757-6898-5 035 $a(MiAaPQ)EBC3085353 035 $a(PPN)238081893 035 $a(EXLCZ)992660000000024770 100 $a20130427d1990 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aUndergraduate Algebra /$fby Serge Lang 205 $a2nd ed. 1990. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d1990. 215 $a1 online resource (XI, 371 p.) 225 1 $aUndergraduate Texts in Mathematics,$x2197-5604 300 $aIncludes index. 311 08$a0-387-97279-X 311 08$a1-4757-6900-8 327 $aI The Integers -- II Groups -- III Rings -- IV Polynomials -- V Vector Spaces and Modules -- VI Some Linear Groups -- VII Field Theory -- VIII Finite Fields -- IX The Real and Complex Numbers -- X Sets -- §1. The Natural Numbers -- §2. The Integers -- §3. Infinite Sets. 330 $aThis book, together with Linear Algebra, constitutes a curriculum for an algebra program addressed to undergraduates. The separation of the linear algebra from the other basic algebraic structures fits all existing tendencies affecting undergraduate teaching, and I agree with these tendencies. I have made the present book self contained logically, but it is probably better if students take the linear algebra course before being introduced to the more abstract notions of groups, rings, and fields, and the systematic development of their basic abstract properties. There is of course a little overlap with the book Lin­ ear Algebra, since I wanted to make the present book self contained. I define vector spaces, matrices, and linear maps and prove their basic properties. The present book could be used for a one-term course, or a year's course, possibly combining it with Linear Algebra. I think it is important to do the field theory and the Galois theory, more important, say, than to do much more group theory than we have done here. There is a chapter on finite fields, which exhibit both features from general field theory, and special features due to characteristic p. Such fields have become important in coding theory. 410 0$aUndergraduate Texts in Mathematics,$x2197-5604 606 $aAlgebra 606 $aAlgebra 615 0$aAlgebra. 615 14$aAlgebra. 676 $a512 676 $a512 686 $a13-01$2msc 686 $a15-01$2msc 700 $aLang$b Serge$4aut$4http://id.loc.gov/vocabulary/relators/aut$01160 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910958985703321 996 $aUndergraduate algebra$983051 997 $aUNINA