Modern Introduction To Classical Number Theory, A
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€137.99
A01=Tianxin Cai
Author_Tianxin Cai
Category=PBH
Classical Number Theory
Congruence
Egyptian Fraction Problem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euler's Conjecture
Fermat's Last Theorem
Goldbach's Conjecture
Hilbert Waring Problem
History of Mathematics
Laudau's Problem
Mathematical Education
Natural Numbers
Number Theory
Remainder Theorem
The 3x + 1 Problem
The Twin Prime Conjecture
Product details
- ISBN 9789811218293
- Publication Date: 10 Aug 2021
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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Natural numbers are the oldest human invention. This book describes their nature, laws, history and current status. It has seven chapters. The first five chapters contain not only the basics of elementary number theory for the convenience of teaching and continuity of reading, but also many latest research results. The first time in history, the traditional name of the Chinese Remainder Theorem is replaced with the Qin Jiushao Theorem in the book to give him a full credit for his establishment of this famous theorem in number theory. Chapter 6 is about the fascinating congruence modulo an integer power, and Chapter 7 introduces a new problem extracted by the author from the classical problems of number theory, which is out of the combination of additive number theory and multiplicative number theory.One feature of the book is the supplementary material after each section, there by broadening the reader's knowledge and imagination. These contents either discuss the rudiments of some aspects or introduce new problems or conjectures and their extensions, such as perfect number problem, Egyptian fraction problem, Goldbach's conjecture, the twin prime conjecture, the 3x + 1 problem, Hilbert Waring problem, Euler's conjecture, Fermat's Last Theorem, Laudau's problem and etc.This book is written for anyone who loves natural numbers, and it can also be read by mathematics majors, graduate students, and researchers. The book contains many illustrations and tables. Readers can appreciate the author's sensitivity of history, broad range of knowledge, and elegant writing style, while benefiting from the classical works and great achievements of masters in number theory.
