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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 indeveloping 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.
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 indeveloping 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.
Challenges students ranging from high school to graduate levels to develop problem-solving skills in analytic number theory
Balances elementary yet ingenious problems with applications not usually seen in classes
Suitable as a rich supplementary text in Analytic Number Theory for undergraduate and graduate courses
Erscheinungsjahr: | 2021 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Reihe: | Problem Books in Mathematics |
Inhalt: |
xiii
197 S. 3 s/w Illustr. 197 p. 3 illus. |
ISBN-13: | 9783030650766 |
ISBN-10: | 3030650766 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: |
Singha Roy, Akash
Pollack, Paul |
Auflage: | 1st ed. 2021 |
Hersteller: |
Springer International Publishing
Problem Books in Mathematics |
Verantwortliche Person für die EU: | Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de |
Maße: | 241 x 160 x 17 mm |
Von/Mit: | Akash Singha Roy (u. a.) |
Erscheinungsdatum: | 09.02.2021 |
Gewicht: | 0,527 kg |
Challenges students ranging from high school to graduate levels to develop problem-solving skills in analytic number theory
Balances elementary yet ingenious problems with applications not usually seen in classes
Suitable as a rich supplementary text in Analytic Number Theory for undergraduate and graduate courses
Erscheinungsjahr: | 2021 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Reihe: | Problem Books in Mathematics |
Inhalt: |
xiii
197 S. 3 s/w Illustr. 197 p. 3 illus. |
ISBN-13: | 9783030650766 |
ISBN-10: | 3030650766 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: |
Singha Roy, Akash
Pollack, Paul |
Auflage: | 1st ed. 2021 |
Hersteller: |
Springer International Publishing
Problem Books in Mathematics |
Verantwortliche Person für die EU: | Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de |
Maße: | 241 x 160 x 17 mm |
Von/Mit: | Akash Singha Roy (u. a.) |
Erscheinungsdatum: | 09.02.2021 |
Gewicht: | 0,527 kg |