{"product_id":"algebra-2-linear-algebra-galois-theory-representation-theory","title":"Algebra 2: Linear Algebra, Galois Theory, Representation Theory","description":"\u003cp\u003eIn this review of Algebra 2: Linear Algebra, Galois Theory, Representation theory, Group extensions and Schur Multiplier, the bottom line is straightforward: this volume is a rigorous, classroom-ready text best suited to advanced undergraduates and beginning graduate students who need a compact yet broad treatment of key algebra topics. The book's single biggest selling point is its combination of an accessible introduction to \u003cstrong\u003elinear algebra\u003c\/strong\u003e with direct transitions into \u003cstrong\u003eGalois theory\u003c\/strong\u003e and \u003cstrong\u003erepresentation theory\u003c\/strong\u003e, making it useful both for course use and for students bridging computational and theoretical algebra.\u003c\/p\u003e\u003ch2\u003eKey Features\u003c\/h2\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eConcise coverage:\u003c\/strong\u003e Volume 2 presents linear algebra through chapter 15 in a way that requires only basic set theory, so it works as a standalone introduction for science and engineering students.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eBroad scope:\u003c\/strong\u003e The book moves from classical linear algebra to Jordan and rational forms and then to more advanced topics, giving readers a clear path from computations to structure theorems.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eLinear algebra over rings:\u003c\/strong\u003e Treatment of general linear algebra extends familiar concepts to modules and rings, which benefits readers planning further study in abstract algebra.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eRepresentation theory link:\u003c\/strong\u003e The material frames representation theory as linear algebra over group algebras, helping readers see connections between modules and group actions.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eGroup extensions and Schur multiplier:\u003c\/strong\u003e Introducing the theory of group extensions provides a bridge to cohomological perspectives and further research topics.\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch2\u003eWho It's For\u003c\/h2\u003e\u003cp\u003eThis volume is aimed at advanced undergraduates in mathematics, physics, and engineering who need a compact but thorough introduction to both computational linear algebra and structural algebra topics. It is also appropriate for beginning graduate students seeking a single reference that ties linear algebra, Galois theory, and representation theory together.\u003c\/p\u003e\u003cp\u003eReaders looking for an elementary primer with extensive worked examples or a purely problem-driven exercise book may want to supplement this text with problem collections or dedicated computational texts, since the emphasis here is on exposition and interconnections rather than exhaustive exercise sets.\u003c\/p\u003e\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eCombines \u003cstrong\u003elinear algebra\u003c\/strong\u003e and higher algebra topics in one volume, useful for course continuity.\u003c\/li\u003e\n\u003cli\u003eAccessible opening chapters require only set theory, so it can serve as a first formal linear algebra text for many students.\u003c\/li\u003e\n\u003cli\u003eClear pathway from concrete matrix theory to abstract topics like representation theory and group extensions.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\u003cli\u003eNot aimed primarily at readers who want a workbook of exercises; supplemental problem sources may be needed.\u003c\/li\u003e\u003c\/ul\u003e\u003ch2\u003eSpecifications\u003c\/h2\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eAlgebra 2: Linear Algebra, Galois Theory, Representation theory, Group extensions and Schur Multiplier\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthor\u003c\/td\u003e\n\u003ctd\u003eRamji Lal\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSeries\u003c\/td\u003e\n\u003ctd\u003eInfosys Science Foundation Series in Mathematical Sciences\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eScope\u003c\/td\u003e\n\u003ctd\u003eLinear algebra, Galois theory, representation theory, group extensions\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eLevel\u003c\/td\u003e\n\u003ctd\u003eAdvanced undergraduate \/ beginning graduate\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePrerequisites\u003c\/td\u003e\n\u003ctd\u003eBasic set theory; no Algebra 1 material required for linear algebra section\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\u003ch2\u003eOur Verdict\u003c\/h2\u003e\u003cp\u003eAlgebra 2 is a well-structured second volume that gives readers a coherent progression from introductory linear algebra to more abstract algebraic topics, making it good value for students who need a single reference bridging computation and theory. Those seeking many practice problems should pair it with exercise collections, but for exposition and conceptual linkage it is a solid purchase.\u003c\/p\u003e\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003eDoes the book require Algebra 1?\u003c\/strong\u003e\u003cbr\u003eThe linear algebra section does not depend on Algebra 1; only an understanding of basic set theory is expected.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eIs this suitable for engineering students?\u003c\/strong\u003e\u003cbr\u003eYes; the linear algebra chapters are designed to be applicable for science and engineering courses and can serve a one-semester class.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eDoes it cover representation theory in depth?\u003c\/strong\u003e\u003cbr\u003eIt introduces representation theory as linear algebra over group algebras and connects it to earlier chapters, suitable for an introductory to intermediate treatment rather than exhaustive coverage.\u003c\/p\u003e","brand":"Ramji Lal","offers":[{"title":"Default Title","offer_id":48637070311643,"sku":"9811350892","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/6190AUM-tUL._SL1254.jpg?v=1778534192","url":"https:\/\/gearmusthave.com\/products\/algebra-2-linear-algebra-galois-theory-representation-theory","provider":"GearMustHave","version":"1.0","type":"link"}