Ebook: The Book of Numbers

Journey through the world of numbers with the foremost authorities and writers in the field.
John Horton Conway and Richard K. Guy are two of the most accomplished, creative, and engaging number theorists any mathematically minded reader could hope to encounter. In this book, Conway and Guy lead the reader on an imaginative, often astonishing tour of the landscape of numbers.
The Bookof Numbers is just that - an engagingly written, heavily illustrated introduction to the fascinating, sometimes surprising properties of numbers and number patterns. The book opens up a world of topics, theories, and applications, exploring intriguing aspects of real numbers, systems, arrays and sequences, and much more. Readers will be able to use figures to figure out figures, rub elbows with famous families of numbers, prove the primacy of primes, fathom the fruitfulness of fractions, imagine imaginary numbers, investigate the infinite and infinitesimal and more.

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Journey through the world of numbers with the foremost authorities and writers in the field.
John Horton Conway and Richard K. Guy are two of the most accomplished, creative, and engaging number theorists any mathematically minded reader could hope to encounter. In this book, Conway and Guy lead the reader on an imaginative, often astonishing tour of the landscape of numbers.
The Bookof Numbers is just that - an engagingly written, heavily illustrated introduction to the fascinating, sometimes surprising properties of numbers and number patterns. The book opens up a world of topics, theories, and applications, exploring intriguing aspects of real numbers, systems, arrays and sequences, and much more. Readers will be able to use figures to figure out figures, rub elbows with famous families of numbers, prove the primacy of primes, fathom the fruitfulness of fractions, imagine imaginary numbers, investigate the infinite and infinitesimal and more.

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Journey through the world of numbers with the foremost authorities and writers in the field.
John Horton Conway and Richard K. Guy are two of the most accomplished, creative, and engaging number theorists any mathematically minded reader could hope to encounter. In this book, Conway and Guy lead the reader on an imaginative, often astonishing tour of the landscape of numbers.
The Bookof Numbers is just that - an engagingly written, heavily illustrated introduction to the fascinating, sometimes surprising properties of numbers and number patterns. The book opens up a world of topics, theories, and applications, exploring intriguing aspects of real numbers, systems, arrays and sequences, and much more. Readers will be able to use figures to figure out figures, rub elbows with famous families of numbers, prove the primacy of primes, fathom the fruitfulness of fractions, imagine imaginary numbers, investigate the infinite and infinitesimal and more.
Content:
Front Matter....Pages i-ix
The Romance of Numbers....Pages 1-26
Figures from Figures Doing Arithmetic and Algebra by Geometry....Pages 27-62
What Comes Next?....Pages 63-89
Famous Families of Numbers....Pages 91-126
The Primacy of Primes....Pages 127-149
Further Fruitfulness of Fractions....Pages 151-179
Geometric Problems and Algebraic Numbers....Pages 181-210
Imagining Imaginary Numbers....Pages 211-235
Some Transcendental Numbers....Pages 237-263
Infinite and Infinitesimal Numbers....Pages 265-300
Back Matter....Pages 301-310

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Journey through the world of numbers with the foremost authorities and writers in the field.
John Horton Conway and Richard K. Guy are two of the most accomplished, creative, and engaging number theorists any mathematically minded reader could hope to encounter. In this book, Conway and Guy lead the reader on an imaginative, often astonishing tour of the landscape of numbers.
The Bookof Numbers is just that - an engagingly written, heavily illustrated introduction to the fascinating, sometimes surprising properties of numbers and number patterns. The book opens up a world of topics, theories, and applications, exploring intriguing aspects of real numbers, systems, arrays and sequences, and much more. Readers will be able to use figures to figure out figures, rub elbows with famous families of numbers, prove the primacy of primes, fathom the fruitfulness of fractions, imagine imaginary numbers, investigate the infinite and infinitesimal and more.
Content:
Front Matter....Pages i-ix
The Romance of Numbers....Pages 1-26
Figures from Figures Doing Arithmetic and Algebra by Geometry....Pages 27-62
What Comes Next?....Pages 63-89
Famous Families of Numbers....Pages 91-126
The Primacy of Primes....Pages 127-149
Further Fruitfulness of Fractions....Pages 151-179
Geometric Problems and Algebraic Numbers....Pages 181-210
Imagining Imaginary Numbers....Pages 211-235
Some Transcendental Numbers....Pages 237-263
Infinite and Infinitesimal Numbers....Pages 265-300
Back Matter....Pages 301-310
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