Introduction to Analytical Number Theory
(Sprache: Englisch)
This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. Among the strong points of the book are its clarity of exposition and a...
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Klappentext zu „Introduction to Analytical Number Theory “
This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. Among the strong points of the book are its clarity of exposition and a collection of exercises at the end of each chapter.
Inhaltsverzeichnis zu „Introduction to Analytical Number Theory “
1: The Fundamental Theorem of Arithmetic. 2: Arithmetical Functions and Dirichlet Multiplication. 3: Averages of Arithmetical Function. 4: Some Elementary Theorems on the Distribution of Prime Numbers. 5: Congruences. 6: Finite Abelian Groups and Their Characters. 7: Cirichlet's Theorem on Primes in Arithmetic Progressions. 8: Periodic Arithmetical Functions and Gauss Sums. 9: Quadratic Residues and the Quadratic Reciprocity Law. 10: Primitive Roots. 11: Dirichlet Series and Euler Products. 12: The Functions. 13: Analytic Proof of the Prime Number Theorem. 14: Partitions.
Autoren-Porträt von Tom M. Apostol
Tom A. Apostol, Emeritus Professor at the California Institute of Technology, is the author of several highly regarded texts on calculus, analysis, and number theory, and is Director of Project MATHEMATICS!, a series of computer-animated mathematics videotapes.
Bibliographische Angaben
- Autor: Tom M. Apostol
- 1995, Korr. 5. Nachdr., XII, 338 Seiten, 24 Abbildungen, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer Berlin
- ISBN-10: 3540901639
- ISBN-13: 9783540901631
Sprache:
Englisch
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