Li (mathematics, Bilkent U. Turkey) and Oystaeyen (mathematics, U. of Antwerp/UIA, Belgium) emphasize the new Groebner basis method that combines ordered ideal structure theory in polynomial rings with the Weierstrass theory of elliptic curves. Designed both as a text for high level undergraduate or first-year graduate students and as a reference for pure and applied mathematicians, this book covers a range of material, including: polynomials, affine space, radical ideals, rational functions, irreducible algebraic sets, the Riemann-Roch theorem, elliptic functions, and the Zariski topology.
ALERT: Before you purchase, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products. PackagesAccess codes for Pearson's MyLab & Mastering products may not be included when purchasing or renting from companies other than Pearson; check with the seller before completing your purchase. Used or rental booksIf you rent or purchase a used book with an access code, the access code may have been redeemed previously and you may have to purchase a new access code. Access codesAccess codes that are purchased from sellers other than Pearson carry a higher risk of being either the wrong ISBN or a previously redeemed code. Check with the seller prior to purchase. -- Normal 0 false false false EN-US X-NONE X-NONE 032190981X / 9780321909817 A Graphical Approach to College Algebra Plus NEW MyMathLab -- Access Card Package Package consists of: 0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321920309 / 9780321920300 A Graphical Approach to College Algebra
This book is based on lectures delivered at Harvard in the Spring of 1991 and at the University of Utah during the academic year 1992-93. Formally, the book assumes only general algebraic knowledge (rings, modules, groups, Lie algebras, functors etc.). It is helpful, however, to know some basics of algebraic geometry and representation theory. Each chapter begins with its own introduction, and most sections even have a short overview. The purpose of what follows is to explain the spirit of the book and how different parts are linked together without entering into details. The point of departure is the notion of the left spectrum of an associative ring, and the first natural steps of general theory of noncommutative affine, quasi-affine, and projective schemes. This material is presented in Chapter I. Further developments originated from the requirements of several important examples I tried to understand, to begin with the first Weyl algebra and the quantum plane. The book reflects these developments as I worked them out in reallife and in my lectures. In Chapter 11, we study the left spectrum and irreducible representations of a whole lot of rings which are of interest for modern mathematical physics. The dasses of rings we consider indude as special cases: quantum plane, algebra of q-differential operators, (quantum) Heisenberg and Weyl algebras, (quantum) enveloping algebra ofthe Lie algebra sl(2) , coordinate algebra of the quantum group SL(2), the twisted SL(2) of Woronowicz, so called dispin algebra and many others.
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