This book offers the basics of algebraic number theory for students
and others who need an introduction and do not have the time to
wade through the voluminous textbooks available. It is suitable for
an independent study or as a textbook for a first course on the
topic. The author presents the topic here by first offering a brief
introduction to number theory and a review of the prerequisite
material, then presents the basic theory of algebraic numbers. The
treatment of the subject is classical but the newer approach
discussed at the end provides a broader theory to include the
arithmetic of algebraic curves over finite fields, and even
suggests a theory for studying higher dimensional varieties over
finite fields. It leads naturally to the Weil conjecture and some
delicate questions in algebraic geometry. About the Author Dr. J.
S. Chahal is a professor of mathematics at Brigham Young
University. He received his Ph.D. from Johns Hopkins University and
after spending a couple of years at the University of Wisconsin as
a post doc, he joined Brigham Young University as an assistant
professor and has been there ever since. He specializes and has
published several papers in number theory. For hobbies, he likes to
travel and hike. His book, Fundamentals of Linear Algebra, is also
published by CRC Press.
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