Steps into Analytic Number Theory: A Problem-Based Introduction (Problem Books in Mathematics) - Hardcover

Buch 62 von 76: Problem Books in Mathematics

Pollack, Paul; Singha Roy, Akash

 
9783030650766: Steps into Analytic Number Theory: A Problem-Based Introduction (Problem Books in Mathematics)
Hardcover
ISBN 10: 3030650766 ISBN 13: 9783030650766
Verlag: Springer-Verlag GmbH, 2021

Inhaltsangabe

This problem book gathers together 15 problem sets on analytic number theory that can be profitably approached by anyone from advanced high school students to those pursuing graduate studies.

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Über die Autorin bzw. den Autor

Paul Pollack is a Professor at the University of Georgia, USA.
Akash Singha Roy is an undergraduate student at the Chennai Mathematical Institute, India.

Von der hinteren Coverseite

This problem book gathers together 15 problem sets on analytic number theory that can be profitably approached by anyone from advanced high school students to those pursuing graduate studies. It emerged from a 5-week course taught by the first author as part of the 2019 Ross/Asia Mathematics Program held from July 7 to August 9 in Zhenjiang, China.


While it is recommended that the reader has a solid background in mathematical problem solving (as from training for mathematical contests), no possession of advanced subject-matter knowledge is assumed. Most of the solutions require nothing more than elementary number theory and a good grasp of calculus. Problems touch at key topics like the value-distribution of arithmetic functions, the distribution of prime numbers, the distribution of squares and nonsquares modulo a prime number, Dirichlet's theorem on primes in arithmetic progressions, and more.

This book is suitable for any student with a special interest in developing problem-solving skills in analytic number theory. It will be an invaluable aid to lecturers and students as a supplementary text for introductory Analytic Number Theory courses at both the undergraduate and graduate level.

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Verlag
Springer-Verlag GmbH
Erscheinungsdatum
2021
Sprache
Englisch
ISBN 10 
3030650766
ISBN 13 
9783030650766
Einband
Tapa dura
Auflage
1
Anzahl der Seiten
210
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9783030650797: Steps into Analytic Number Theory: A Problem-Based Introduction (Problem Books in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  3030650790 ISBN 13:  9783030650797
Verlag: Springer, 2022
Softcover