Ebook: Gems of Geometry
Author: John Barnes (auth.)
- Tags: Geometry, History of Mathematical Sciences
- Year: 2012
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 2
- Language: English
- pdf
Based on a series of lectures for adult students, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination. The author's infectious enthusiasm is put to use in explaining many of the key concepts in the field, starting with the Golden Number and taking the reader on a geometrical journey via Shapes and Solids, through the Fourth Dimension, finishing up with Einstein's Theories of Relativity.
Equally suitable as a gift for a youngster or as a nostalgic journey back into the world of mathematics for older readers, John Barnes' book is the perfect antidote for anyone whose maths lessons at school are a source of painful memories. Where once geometry was a source of confusion and frustration, Barnes brings enlightenment and entertainment.
In this second edition, stimulated by recent lectures at Oxford, further material and extra illustrations have been added on many topics including Coloured Cubes, Chaos and Crystals.
Based on a series of lectures for adult students at Reading and Oxford University in the UK, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination. The author's infectious enthusiasm is put to use in explaining a range of topics, starting with the Golden Number and taking the reader on a geometrical journey covering topics such as Shapes and Solids, the Fourth Dimension, Projective Geometry and Topology, Chaos and Fractals, Steiner's porism, Soddy's Hexlet, Einstein's Theories of Relativity and finishing up with the amazing world of Crystals.
Aimed at a general readership, and requiring only a basic understanding of mathematics, the text includes a wealth of the author's own diagrams and illustrations, of which many are in stereo.
Equally ideal as an educational gift for a youngster or as a nostalgic journey back into the world of mathematics for older readers, John Barnes' book brings enlightenment and entertainment.
“… unlike your average student textbook, this is a book designed to be dipped into, explored, enjoyed and savoured.”
PLUS.MATHS.ORG
"Gems of Geometry is a delightful little book; it is exactly the kind of thing that I would have loved to have had as a child"
Roger Penrose
Based on a series of lectures for adult students at Reading and Oxford University in the UK, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination. The author's infectious enthusiasm is put to use in explaining a range of topics, starting with the Golden Number and taking the reader on a geometrical journey covering topics such as Shapes and Solids, the Fourth Dimension, Projective Geometry and Topology, Chaos and Fractals, Steiner's porism, Soddy's Hexlet, Einstein's Theories of Relativity and finishing up with the amazing world of Crystals.
Aimed at a general readership, and requiring only a basic understanding of mathematics, the text includes a wealth of the author's own diagrams and illustrations, of which many are in stereo.
Equally ideal as an educational gift for a youngster or as a nostalgic journey back into the world of mathematics for older readers, John Barnes' book brings enlightenment and entertainment.
“… unlike your average student textbook, this is a book designed to be dipped into, explored, enjoyed and savoured.”
PLUS.MATHS.ORG
"Gems of Geometry is a delightful little book; it is exactly the kind of thing that I would have loved to have had as a child"
Roger Penrose
Content:
Front Matter....Pages i-xiii
The Golden Number....Pages 1-26
Shapes and Solids....Pages 27-62
The Fourth Dimension....Pages 63-87
Projective Geometry....Pages 89-111
Topology....Pages 113-135
Bubbles....Pages 137-155
Harmony of the Spheres....Pages 157-178
Chaos and Fractals....Pages 179-204
Relativity....Pages 205-229
Finale....Pages 231-246
Back Matter....Pages 247-325
Based on a series of lectures for adult students at Reading and Oxford University in the UK, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination. The author's infectious enthusiasm is put to use in explaining a range of topics, starting with the Golden Number and taking the reader on a geometrical journey covering topics such as Shapes and Solids, the Fourth Dimension, Projective Geometry and Topology, Chaos and Fractals, Steiner's porism, Soddy's Hexlet, Einstein's Theories of Relativity and finishing up with the amazing world of Crystals.
Aimed at a general readership, and requiring only a basic understanding of mathematics, the text includes a wealth of the author's own diagrams and illustrations, of which many are in stereo.
Equally ideal as an educational gift for a youngster or as a nostalgic journey back into the world of mathematics for older readers, John Barnes' book brings enlightenment and entertainment.
“… unlike your average student textbook, this is a book designed to be dipped into, explored, enjoyed and savoured.”
PLUS.MATHS.ORG
"Gems of Geometry is a delightful little book; it is exactly the kind of thing that I would have loved to have had as a child"
Roger Penrose
Content:
Front Matter....Pages i-xiii
The Golden Number....Pages 1-26
Shapes and Solids....Pages 27-62
The Fourth Dimension....Pages 63-87
Projective Geometry....Pages 89-111
Topology....Pages 113-135
Bubbles....Pages 137-155
Harmony of the Spheres....Pages 157-178
Chaos and Fractals....Pages 179-204
Relativity....Pages 205-229
Finale....Pages 231-246
Back Matter....Pages 247-325
....