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Euclidean Geometry and its Subgeometries

by Edward John Specht, Harold Trainer Jones, Keith G. Calkins, Donald H. Rhoads ...

Series series Mathematics and Statistics (R0)
In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomatic treatment of Euclidean geometry that uses axioms not involving metric notions and that explores congruence and ... Read more

$152.99 USD

In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomatic treatment of Euclidean geometry that uses axioms not involving metric notions and that explores congruence and
... Read more

A Certain Ambiguity

A Mathematical Novel (New in Paper)

by Gaurav Suri, Hartosh Singh Bal ...

While taking a class on infinity at Stanford in the late 1980s, Ravi Kapoor discovers that he is confronting the same mathematical and philosophical dilemmas that his mathematician grandfather had faced many decades earlier--and that had landed him in jail. Charged under an obscure blasphemy law in a small New Jersey town in 1919, Vijay Sahni is challenged by a skeptical judge to defend his belief ... Read more

$14.99 USD

While taking a class on infinity at Stanford in the late 1980s, Ravi Kapoor discovers that he is confronting the same mathematical and philosophical dilemmas that his mathematician grandfather had faced many decades earlier--and that had landed him in jail. Charged under an obscure blasphemy law in a small New Jersey town in 1919, Vijay Sahni is challenged by a skeptical judge to defend his belief
... Read more
The King of Infinite Space

Euclid and His Elements

by David Berlinski ...

Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive ... Read more

$9.99 USD

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Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive
... Read more

Also available as: Audiobook
Heavenly Mathematics

The Forgotten Art of Spherical Trigonometry

by Glen Van Brummelen ...

Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, ... Read more

$16.99 USD

Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam,
... Read more
Beautiful Geometry

by Eli Maor, Eugen Jost ...

"This is geometry as you've never seen it before. A feast for the eyes." ―Ian Stewart, author of Visions of InfinityAn exquisite visual celebration of the 2,500-year history of geometryIf you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than ... Read more

$20.89 USD or Free with Kobo Plus

"This is geometry as you've never seen it before. A feast for the eyes." ―Ian Stewart, author of Visions of InfinityAn exquisite visual celebration of the 2,500-year history of geometryIf you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than
... Read more
Restitution of the Two Books on Plane Loci of Apollonius of Perga together with On Spheric Contacts by Pierre de Fermat (1601-1665)

by James D. Nicholson ...

Pierre de Fermat, the famous French Renaissance mathematician who gave us Fermat's Last Theorem, left no mathematical records so far as the English speaking world is concerned. This is because he wrote primarily in Latin. Here for the first time are some of his early works restoring the lost geometry treatise of Apollonius of Perga as well as Fermat's own expansion of plane loci into the third ... Read more

$1.70 USD or Free with Kobo Plus

Pierre de Fermat, the famous French Renaissance mathematician who gave us Fermat's Last Theorem, left no mathematical records so far as the English speaking world is concerned. This is because he wrote primarily in Latin. Here for the first time are some of his early works restoring the lost geometry treatise of Apollonius of Perga as well as Fermat's own expansion of plane loci into the third
... Read more
Indra's Pearls

The Vision of Felix Klein

by David Mumford, Caroline Series, David Wright ...

Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries. For a century, these ... Read more

$42.69 USD

Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries. For a century, these
... Read more
Methods of Solving Complex Geometry Problems

by Ellina Grigorieva ...

This book is a unique collection of challenging geometry problems and detailed solutions that will build students’ confidence in mathematics. By proposing several methods to approach each problem and emphasizing geometry’s connections with different fields of mathematics, Methods of Solving Complex Geometry Problems serves as a bridge to more advanced problem solving. Written by an accomplished ... Read more

$58.49 USD

This book is a unique collection of challenging geometry problems and detailed solutions that will build students’ confidence in mathematics. By proposing several methods to approach each problem and emphasizing geometry’s connections with different fields of mathematics, Methods of Solving Complex Geometry Problems serves as a bridge to more advanced problem solving. Written by an accomplished
... Read more
An Axiomatic Approach to Geometry

Geometric Trilogy I

by Francis Borceux ...

Focusing methodologically on those historical aspects that are relevant to supporting intuition in axiomatic approaches to geometry, the book develops systematic and modern approaches to the three core aspects of axiomatic geometry: Euclidean, non-Euclidean and projective. Historically, axiomatic geometry marks the origin of formalized mathematical activity. It is in this discipline that most ... Read more

$134.09 USD

Focusing methodologically on those historical aspects that are relevant to supporting intuition in axiomatic approaches to geometry, the book develops systematic and modern approaches to the three core aspects of axiomatic geometry: Euclidean, non-Euclidean and projective. Historically, axiomatic geometry marks the origin of formalized mathematical activity. It is in this discipline that most
... Read more
Euclid's Heritage. Is Space Three-Dimensional?

Translated by David Zook ...

by P. Janich ...

Series Book 52 - The Western Ontario Series in Philosophy of Science
We live in a space, we get about in it. We also quantify it, we think of it as having dimensions. Ever since Euclid's ancient geometry, we have thought of bodies occupying parts of this space (including our own bodies), the space of our practical orientations (our 'moving abouts'), as having three dimensions. Bodies have volume specified by measures of length, breadth and height. But how do we ... Read more

$89.99 USD

We live in a space, we get about in it. We also quantify it, we think of it as having dimensions. Ever since Euclid's ancient geometry, we have thought of bodies occupying parts of this space (including our own bodies), the space of our practical orientations (our 'moving abouts'), as having three dimensions. Bodies have volume specified by measures of length, breadth and height. But how do we
... Read more
A Differential Approach to Geometry

Geometric Trilogy III

by Francis Borceux ...

This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The ... Read more

$116.99 USD

This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The
... Read more
The Elements of Cantor Sets

With Applications

by Robert W. Vallin ...

A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematicsThe Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between real analysis, probability, topology, and algebra.The author fills a gap in the current literature by providing an introductory and integrated ... Read more

$89.00 USD

A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematicsThe Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between real analysis, probability, topology, and algebra.The author fills a gap in the current literature by providing an introductory and integrated
... Read more

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Mathematics and Statistics (R0)

Euclidean Geometry and its Subgeometries

People who read this also enjoyed

A Certain Ambiguity

The King of Infinite Space

Heavenly Mathematics

Beautiful Geometry

Restitution of the Two Books on Plane Loci of Apollonius of Perga together with On Spheric Contacts by Pierre de Fermat (1601-1665)

Indra's Pearls

Methods of Solving Complex Geometry Problems

An Axiomatic Approach to Geometry

Euclid's Heritage. Is Space Three-Dimensional?

A Differential Approach to Geometry

The Elements of Cantor Sets

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