Number Theory
An Introduction via the Distribution of Primes
(Sprache: Englisch)
This book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique approach provides both a firm background in the standard material as well as an overview of the whole discipline. All the...
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Klappentext zu „Number Theory “
This book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique approach provides both a firm background in the standard material as well as an overview of the whole discipline. All the essential topics are covered: fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes. Analytic number theory and algebraic number theory both receive a solid introductory treatment. The book's user-friendly style, historical context, and wide range of exercises make it ideal for self study and classroom use.
This book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique approach provides both a firm background in the standard material as well as an overview of the whole discipline. All the essential topics are covered: fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes. Analytic number theory and algebraic number theory both receive a solid introductory treatment.
The books user-friendly style, historical context, and wide range of exercises ranging from simple to quite difficult (with solutions and hints provided for select ones) make it ideal for self study as well as classroom use. Intended for upper level undergraduates and beginning graduate students, the only prerequisites are a basic knowledge of calculus, multivariable calculus, and some linear algebra. All necessary concepts from abstract algebra and complex analysis are introduced in the book.
The books user-friendly style, historical context, and wide range of exercises ranging from simple to quite difficult (with solutions and hints provided for select ones) make it ideal for self study as well as classroom use. Intended for upper level undergraduates and beginning graduate students, the only prerequisites are a basic knowledge of calculus, multivariable calculus, and some linear algebra. All necessary concepts from abstract algebra and complex analysis are introduced in the book.
Inhaltsverzeichnis zu „Number Theory “
- Preface- Introduction and Historical Remarks
- Basic Number Theory
- The Infinitude of Primes
- The Density of Primes
- Primality Testing--An Overview
- Primes and Algebraic Number Theory
- Exercises
- Bibliography
- Index.
Bibliographische Angaben
- Autoren: Benjamin Fine , Gerhard Rosenberger
- 2006, 342 Seiten, 12 Schwarz-Weiß-Abbildungen, Maße: 15,2 x 24 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 0817644725
- ISBN-13: 9780817644727
Sprache:
Englisch
Rezension zu „Number Theory “
This book attempts the rather ambitious task of covering much of elementary, analytic and algebraic number theory in a bit over 300 pages. -MathSciNet
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