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Office: Little Hall Email: vatter ufl. Contemporary Abstract Algebra, 8th edition , by Joseph Gallian. There is now a 9th edition, but any edition should be sufficient homework assignment will not make reference to the book. An introduction to algebra, concentrating on the theory of groups Chapters with some coverage of rings Chapters if time permits. Each student is expected to invest a significant amount of work and thought outside the classroom for every hour of lecture.

AM Applied Algebra Fall Algebra is the study of operations such as addition, multiplication, composition on sets of objects such as numbers, polynomials, matrices, permutations. In addition to studying specific operations on specific sets, we also abstract properties that such operations commonly satisfy and the implications of these properties, thereby unifying the study of a wide variety of mathematical objects. In addition to being a beautiful subfield of mathematics, algebra has numerous applications in science and engineering. It is extremely useful for studying symmetries of physical objects, and for encoding data and computations to provide properties such as error-correction and privacy. The formal prerequisite for the course is Applied Math 21b or equivalent, but general "mathematical maturity" is more important than the specific material in this course. At times, we will assume familiarity with basic linear algebra as covered in Math 21b, but students who have instead taken a prior proof-based course on a different topic such as CS 20, AM , or Math should be adequately prepared.

Professor Niranjan Ramachandran atma at math dot umd dot edu. Office hours: Wednesdays 1pm - 2pm, Fridays 2pm - 3pm. Contemporary Abstract Algebra by Joseph A.

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