Number Theory with Computations/ (Record no. 8158)

MARC details
000 -LEADER
fixed length control field 01690 a2200181 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20260327150221.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 260327b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783031638138
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.72
Item number ShiN
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Shiu, Peter
245 ## - TITLE STATEMENT
Title Number Theory with Computations/
Statement of responsibility, etc Peter Shiu
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Switzerland:
Name of publisher Springer,
Year of publication ©2024.
300 ## - PHYSICAL DESCRIPTION
Number of Pages xvi, 442p.
490 ## - SERIES STATEMENT
Series statement Springer Undergraduate Mathematics Series
520 ## - SUMMARY, ETC.
Summary, etc This introductory text is designed for undergraduate courses in number theory, covering both elementary number theory and analytic number theory. The book emphasises computational aspects, including algorithms and their implementation in Python.<br/><br/>The book is divided into two parts. The first part, on elementary number theory, deals with concepts such as induction, divisibility, congruences, primitive roots, cryptography, and continued fractions. The second part is devoted to analytic number theory and includes chapters on Dirichlet’s theorem on primes in arithmetic progressions, the prime number theorem, smooth numbers, and the famous circle method of Hardy and Littlewood. The book contains many topics not often found in introductory textbooks, such as Aubry’s theorem, the Tonelli–Shanks algorithm, factorisation methods, continued fraction representations of e, and the irrationality of 𝜁(3). Each chapter concludes with a summary and notes, as well as numerous exercises.<br/><br/>Assuming only basic calculus for the first part of the book, the second part assumes some knowledge of complex analysis. Familiarity with basic coding syntax will be helpful for the computational exercises.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Number Theory
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Collection code Home library Current library Shelving location Date acquired Purchase Price Bill number Full call number Accession Number Print Price Bill Date/Price effective from Koha item type
      Mathematics Indian Institute of Technology Tirupati Indian Institute of Technology Tirupati General Stacks 26/03/2026 2984.80 IN36763/25-26 512.72 ShiN (12517) 12517 5426.91 26/03/2026 Books