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Book Details :
Published on: 2009-11-02
Released on: 2009-11-02
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This upper-level undergraduate textbook provides a modern view of algebra with an eye to new applications that have arisen in recent years. A rigorous introduction to basic number theory, rings, fields, polynomial theory, groups, algebraic geometry and elliptic curves prepares students for exploring their practical applications related to storing, securing, retrieving and communicating information in the electronic world. It will serve as a textbook for an undergraduate course in algebra with a strong emphasis on applications. The book offers a brief introduction to elementary number theory as well as a fairly complete discussion of major algebraic systems (such as rings, fields, and groups) with a view of their use in bar coding, public key cryptosystems, error-correcting codes, counting techniques, and elliptic key cryptography. This is the only entry level text for algebraic systems that includes an extensive introduction to elliptic curves, a topic that has leaped to prominence due to its importance in the solution of Fermat's Last Theorem and its incorporation into the rapidly expanding applications of elliptic curve cryptography in smart cards. Computer science students will appreciate the strong emphasis on the theory of polynomials, algebraic geometry and Groebner bases. The combination of a rigorous introduction to abstract algebra with a thorough coverage of its applications makes this book truly unique. Algebraic geometry - Wikipedia Algebraic geometry is a branch of mathematics classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract ... Applied Mathematics University of California Berkeley Applied Mathematics Major Program Undergraduate ... College Requirements. Undergraduate students in the College of Letters & Science must fulfill the following ... Mathematical Problems by David Hilbert - Clark U Mathematical Problems Lecture delivered before the International Congress of Mathematicians at Paris in 1900 By Professor David Hilbert 1. Who of us would not be glad ... Abstract algebra - Wikipedia In algebra which is a broad division of mathematics abstract algebra (occasionally called modern algebra) is the study of algebraic structures. Free Applied Mathematics Books Download Ebooks Online ... This book covers the following topics in applied mathematics: Linear Algebraic Systems Vector Spaces and Bases Inner Products and Norms Minimization and Least ... Course Descriptions Reynolds Community College AMERICAN SIGN LANGUAGE [back to top] ASL 100 Orientation to Acquisition of ASL as an Adult 2 cr. Presents a brief introduction to the U.S. Deaf Community focusing on ... Graduate School of Operational and Information Sciences ... Graduate School of Operational and Information Sciences (GSOIS) Website. my.nps.edu/web/gsois. Dean. Gordon McCormick Ph.D. Naval Postgraduate School Computing + Mathematical Sciences Course Descriptions Course Descriptions. Courses offered in our department for Applied and Computational Mathematics Control and Dynamical Systems and Computer Science are listed below. Books in the Mathematical Sciences This site is intended as a resource for university students in the mathematical sciences. Books are recommended on the basis of readability and other pedagogical value. Electrical and Computer Engineering (ECE) Courses Electrical and Computer Engineering (ECE) [ undergraduate program graduate program faculty] All courses faculty listings and curricular and degree requirements ...
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