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Catalogue Information
Field name	Details
Dewey Class	512.7
Title	Number Theory ([Ebook]) : An Introduction to Mathematics / by W.A. Coppel.
Author	Coppel, William Andrew
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2009.
Physical Details	XIII, 610 pages, 17 illus. : online resource.
Series	Universitext
ISBN	9780387894867
Summary Note	"Number Theory" is more than a comprehensive treatment of the subject. It is an introduction to topics in higher level mathematics, and unique in its scope; topics from analysis, modern algebra, and discrete mathematics are all included. The book is divided into two parts. Part A covers key concepts of number theory and could serve as a first course on the subject. Part B delves into more advanced topics and an exploration of related mathematics. Part B contains, for example, complete proofs of the HasseâMinkowski theorem and the prime number theorem, as well as self-contained accounts of the character theory of finite groups and the theory of elliptic functions. The prerequisites for this self-contained text are elements from linear algebra. Valuable references for the reader are collected at the end of each chapter. It is suitable as an introduction to higher level mathematics for undergraduates, or for self-study. From the reviews: "This is a book which many mathematicians could enjoy browsing, and one which a good undergraduate could be encouraged to read to learn something of the interconnections, which exist between apparently disparate parts of mathematics." âCanadian Mathematical Society "As a source for information on the 'reach' of number theory into other areas of mathematics, it is an excellent work." âMathematical Association of America:
Contents note	Preface -- The Expanding Universe of Numbers -- Divisibility -- More on Divisibility -- Continued Fractions and their Uses -- Hadamardâs Determinant Problem -- Henselâs P-Adic Numbers -- Notations -- Axioms -- 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 -- Notations -- Axioms -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-0-387-89486-7
Links to Related Works	Subject References: Mathematics . Mathematics, general . Number Theory . Authors: Coppel, William Andrew . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 512.7 . 512.7 (DDC 23) .

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Number Theory: An Introduction to Mathematics

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