Undergraduate Algebra 3rd edition by Serge Lang – Ebook PDF Instant Download/Delivery: 0387220259 , 978-0387220253
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ISBN 10: 0387220259
ISBN 13: 978-0387220253
Author: Serge Lang
This book, together with Linear Algebra, constitutes a curriculum for an algebra program addressed to undergraduates. The separation of the hnear algebra from the other basic algebraic structures fits all existing tendencies affecting undergraduate teaching, and I agree with these tendencies. I have made the present book self contained logically, but it is probably better if students take the linear algebra course before being introduced to the more abstract notions of groups, rings, and fields, and the systematic development of their basic abstract properties. There is of course a little overlap with the book Lin ear Algebra, since I wanted to make the present book self contained. I define vector spaces, matrices, and linear maps and prove their basic properties. The present book could be used for a one-term course, or a year’s course, possibly combining it with Linear Algebra. I think it is important to do the field theory and the Galois theory, more important, say, than to do much more group theory than we have done here. There is a chapter on finite fields, which exhibit both features from general field theory, and special features due to characteristic p. Such fields have become important in coding theory.
Undergraduate Algebra 3rd Table of contents:
Chapter1 : Introduction
Chapter 2: Content
Chapter 3: Conclusion
Chapter 4: Appendices
Chapter 5: Glossary
Chapter 6: References
Chapter 7: Index
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Tags: Serge Lang, Undergraduate Algebra