Number Theory
An Introduction to Mathematics: Part B
Coppel, William A.
creator
author.
SpringerLink (Online service)
text
xxu
2006
monographic
eng
access
X, 360 p. online resource.
Undergraduate courses in mathematics are commonly of two types. On the one hand are courses in subjectsâ€”such as linear algebra or real analysisâ€”with which it is considered that every student of mathematics should be acquainted. On the other hand are courses given by lecturers in their own areas of specialization, which are intended to serve as a preparation for research. But after taking courses of only these two types, students might not perceive the sometimes surprising interrelationships and analogies between different branches of mathematics, and students who do not go on to become professional mathematicians might never gain a clear understanding of the nature and extent of mathematics. The two-volume Number Theory: An Introduction to Mathematics attempts to provide such an understanding of the nature and extent of mathematics. It is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A, which should be accessible to a first-year undergraduate, deals with elementary number theory. Part B is more advanced than the first and should give the reader some idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches, we may obtain a broad picture. Audience This book is intended for undergraduate students in mathematics and engineering.
The arithmetic of quadratic forms -- The geometry of numbers -- The number of prime numbers -- A character study -- Uniform distribution and ergodic theory -- Elliptic functions -- Connections with number theory.
by William A. Coppel.
Mathematics
Matrix theory
Algebra
Special functions
Number theory
Mathematics
Number Theory
Linear and Multilinear Algebras, Matrix Theory
Special Functions
QA241-247.5
512.7
Springer eBooks
9780387298542
http://dx.doi.org/10.1007/0-387-29854-1
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