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Peter Higgins distills centuries of work into one delightful narrative that celebrates the mystery of numbers and explains how different kinds of numbers arose and why they are useful. Full of historical snippets and interesting examples, the book ranges from simple number puzzles and magic tricks, to showing how ideas about numbers relate to real-world problems. This fascinating book will inspire and entertain readers across a range of abilities. Easy material is blended with more challenging ideas. As our understanding of numbers continues to evolve, this book invites us to rediscover the mystery and beauty of numbers.
From the reviews:
"The target reader of this book is a senior high school student. It is well suited to such an audience; indeed, it is exactly the sort of work I would myself have devoured some 50+ years ago. ... The different topics treated are all described exactly and succinctly."
(Michael A. B. Deakin, Mathematical Reviews, Issue 2008 j)
"The author gives a history of the development of numbers including the natural numbers, the rational numbers, the real numbers and the complex numbers. The text is written at a level appropriate for any educated person. Throughout the text the reasons for the development of various numbers are given along with a historical view of the intuitive struggles with these new ideas."
(Steven T. Dougherty, Zentralblatt MATH, Vol. 1188, 2010)
"The target reader of this book is a senior high school student. It is well suited to such an audience; indeed, it is exactly the sort of work I would myself have devoured some 50+ years ago. ... The different topics treated are all described exactly and succinctly."
(Michael A. B. Deakin, Mathematical Reviews, Issue 2008 j)
"The author gives a history of the development of numbers including the natural numbers, the rational numbers, the real numbers and the complex numbers. The text is written at a level appropriate for any educated person. Throughout the text the reasons for the development of various numbers are given along with a historical view of the intuitive struggles with these new ideas."
(Steven T. Dougherty, Zentralblatt MATH, Vol. 1188, 2010)