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This book depicts the fascinating life story of Wu Wenjun, a
renowned mathematician who made significant contribution in the
field of topology, ancient Chinese mathematics, and mathematics
mechanization. He was a recipient of the Highest Science and
Technology Award, the highest scientific award in China, as well as
the Shaw Prize in Mathematics.Through vivid illustrations and
eloquent writing, this book recounts rarely known anecdotes and
significant events from Wu Wenjun's life through his childhood,
education, and scientific career, offering insights into his life
values.
In this book, we first review the history and current situation of
the perfect number problem, including the origin story of the
Mersenne primes, and then consider the history and current
situation of the Fibonacci sequence. Both topics include results
from our own research. In the later sections, we define the square
sum perfect numbers, and describe for the first time the secret
relationships connecting the square sum perfect numbers, the
Fibonacci sequence, the Lucas sequence, the twin prime conjecture,
and the Fermat primes. Throughout, we raise various interesting
questions and conjectures.
Natural numbers are the oldest human inventions. This volume
describes their nature, laws, history and current status. 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. For the first time in
history, the Chinese Remainder Theorem is renamed the Qin Jiushao
Theorem to give him the 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.In this volume, there is
supplementary material after each section to broaden the reader's
knowledge and imagination. It either discusses the rudiments of
some aspects or introduces new topics, such as the perfect number
problem, Goldbach's conjecture, the twin prime conjecture, the 3x +
1 problem, Waring's problem, Catalan's conjecture, Euler's
conjecture, Fermat's Last Theorem, etc.Originally published in
Chinese as in 2014, The Book of Numbers is written for anyone who
loves natural numbers. The author is not only a mathematician, but
also a literary and science writer, with more than 20 books
published, many of which were translated into 20 languages.
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.
This volume, originally published in China and translated into four
other languages, presents a fascinating and unique account of the
history of mathematics, divided into eight chronologically
organized chapters. Tracing the development of mathematics across
disparate regions and peoples, with particular emphasis on the
relationship between mathematics and civilization, it examines
mathematical sources and inspirations leading from Egypt, Babylon
and ancient Greece and expanding to include Chinese, Indian and
Arabic mathematics, the European Renaissance and the French
revolution up through the Nineteenth and Twentieth Centuries. Each
chapter explores connections among mathematics and cultural
elements of the time and place treated, accompanying the reader in
a varied and exciting journey through human civilizations. The book
contemplates the intersections of mathematics with other
disciplines, including the relationship between modern mathematics
and modern art, and the resulting applications, with the aid of
images and photographs, often taken by the author, which further
enhance the enjoyment for the reader. Written for a general
audience, this book will be of interest to anyone who's studied
mathematics in university or even high school, while also
benefiting researchers in mathematics and the humanities.Â
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