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Beschreibung
This informative and exhaustive study gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate students and senior undergraduates. The goal is to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods. It is ideal for a first course in analytic number theory. The new edition has been completely rewritten, errors have been corrected, and there is a new chapter on the arithmetic progression of primes.
This informative and exhaustive study gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate students and senior undergraduates. The goal is to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods. It is ideal for a first course in analytic number theory. The new edition has been completely rewritten, errors have been corrected, and there is a new chapter on the arithmetic progression of primes.
Zusammenfassung
This book is a collection of about 500 problems in analytic number theory with the singular purpose of training the beginning graduate student in some of its significant techniques. This book, along with Murty's other book "Problems in Algebraic Number Theory" are intended to enable the student to gain a quick initiation into the beautiful subject of number theory. Since the subject is rapidly expanding such an expedient route becomes indispensable. The material in these two books provides a "basic tool kit" for the number theorist.
Inhaltsverzeichnis
Problems.- Arithmetic Functions.- Primes in Arithmetic Progressions.- The Prime Number Theorem.- The Method of Contour Integration.- Functional Equations.- Hadamard Products.- Explicit Formulas.- The Selberg Class.- Sieve Methods.- p-adic Methods.- Equidistribution.- Solutions.- Arithmetic Functions.- Primes in Arithmetic Progressions.- The Prime Number Theorem.- The Method of Contour Integration.- Functional Equations.- Hadamard Products.- Explicit Formulas.- The Selberg Class.- Sieve Methods.- p-adic Methods.- Equidistribution.
Details
Erscheinungsjahr: | 2010 |
---|---|
Fachbereich: | Wahrscheinlichkeitstheorie |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: |
xxii
506 S. |
ISBN-13: | 9781441924773 |
ISBN-10: | 1441924779 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Murty, M Ram |
Auflage: | 2nd edition |
Hersteller: |
Springer US
Springer New York |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 234 x 154 x 32 mm |
Von/Mit: | M Ram Murty |
Erscheinungsdatum: | 19.11.2010 |
Gewicht: | 0,775 kg |
Zusammenfassung
This book is a collection of about 500 problems in analytic number theory with the singular purpose of training the beginning graduate student in some of its significant techniques. This book, along with Murty's other book "Problems in Algebraic Number Theory" are intended to enable the student to gain a quick initiation into the beautiful subject of number theory. Since the subject is rapidly expanding such an expedient route becomes indispensable. The material in these two books provides a "basic tool kit" for the number theorist.
Inhaltsverzeichnis
Problems.- Arithmetic Functions.- Primes in Arithmetic Progressions.- The Prime Number Theorem.- The Method of Contour Integration.- Functional Equations.- Hadamard Products.- Explicit Formulas.- The Selberg Class.- Sieve Methods.- p-adic Methods.- Equidistribution.- Solutions.- Arithmetic Functions.- Primes in Arithmetic Progressions.- The Prime Number Theorem.- The Method of Contour Integration.- Functional Equations.- Hadamard Products.- Explicit Formulas.- The Selberg Class.- Sieve Methods.- p-adic Methods.- Equidistribution.
Details
Erscheinungsjahr: | 2010 |
---|---|
Fachbereich: | Wahrscheinlichkeitstheorie |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: |
xxii
506 S. |
ISBN-13: | 9781441924773 |
ISBN-10: | 1441924779 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Murty, M Ram |
Auflage: | 2nd edition |
Hersteller: |
Springer US
Springer New York |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 234 x 154 x 32 mm |
Von/Mit: | M Ram Murty |
Erscheinungsdatum: | 19.11.2010 |
Gewicht: | 0,775 kg |
Sicherheitshinweis