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Algebra
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Groups and Characters
An authoritative, full-year course on both group theory and ordinary character theory--essential tools for mathematics and the physical sciences One of the few treatments available combining both group theory and character theory, Groups and Characters is an effective general textbook on these two fundamentally connected subjects. Presuming only a basic knowledge of abstract algebra as in a first-year graduate course, the text opens with a review of background material and then guides readers carefully through several of the most important aspects of groups and characters, concentrating mainly on finite groups. Challenging yet accessible, Groups and Characters features: * An extensive collec...
Algebra
Algebra
Classical Groups and Geometric Algebra
``Classical groups'', named so by Hermann Weyl, are groups of matrices or quotients of matrix groups by small normal subgroups. Thus the story begins, as Weyl suggested, with ``Her All-embracing Majesty'', the general linear group $GL_n(V)$ of all invertible linear transformations of a vector space $V$ over a field $F$. All further groups discussed are either subgroups of $GL_n(V)$ or closely related quotient groups. Most of the classical groups consist of invertible linear transformations that respect a bilinear form having some geometric significance, e.g., a quadratic form, a symplectic form, etc. Accordingly, the author develops the required geometric notions, albeit from an algebraic po...
Finite Reflection Groups
Chapter 1 introduces some of the terminology and notation used later and indicates prerequisites. Chapter 2 gives a reasonably thorough account of all finite subgroups of the orthogonal groups in two and three dimensions. The presentation is somewhat less formal than in succeeding chapters. For instance, the existence of the icosahedron is accepted as an empirical fact, and no formal proof of existence is included. Throughout most of Chapter 2 we do not distinguish between groups that are "geo metrically indistinguishable," that is, conjugate in the orthogonal group. Very little of the material in Chapter 2 is actually required for the sub sequent chapters, but it serves two important purpos...
The Billionaire and the Mechanic
A Forbes Best Book of the Year: “Must reading for any yacht-racing aficionado.” —Frank Deford The America’s Cup, first awarded in 1851, is the oldest trophy in international sports, and one of the most hotly contested. In 2000, Larry Ellison, cofounder and billionaire CEO of Oracle Corporation, decided to run for the coveted prize and found an unlikely partner in Norbert Bajurin, a car radiator mechanic who had recently been named Commodore of the blue collar Golden Gate Yacht Club. The Billionaire and the Mechanic tells the incredible story of the partnership between Larry and Norbert, their unsuccessful runs for the Cup in 2003 and 2007, and their victory in 2010. With unparalleled...
The Orange Grove
The author of The Bicycle Eater shares “a fluid and troubling fable” of brotherhood, tragedy, and the limits of art, written in “a subtle and fine poetry” (La Presse, CA). Twin brothers Amed and Aziz live in the peaceful shade of their family’s orange grove. But when a bomb kills the boys’ grandparents, the war that plagues their country changes their lives forever. Blood must repay blood. And in order to avenge their grandparents’ deaths, one brother must offer the ultimate sacrifice. Years later, the surviving twin—now a student actor in wintry Montreal—is given a role which forces him to confront the past. Author Larry Tremblay, an actor and director himself, poses the difficult question: can art ever adequately address suffering? Both current and timeless, The Orange Grove depicts the haunting inheritance of war and its aftermath.
Fundamental Concepts of Abstract Algebra
This undergraduate text presents extensive coverage of set theory, groups, rings, modules, vector spaces, and fields. It offers numerous examples, definitions, theorems, proofs, and practice exercises. 1991 edition.
Tulsa
Clark's classic photo-essay of Midwestern youth caught in the tumult of the 1960s is available for the first time in nearly 20 years. The raw, haunting images document a youth culture progressively overwhelmed by self-destruction and are as moving and disturbing as when they first appeared.
Walking the Appalachian Trail
Accounts by thru-hikers, organized by topic. Foreword by hiker Maurice Forrester and stunning color photos by Mike Warren.
