Euler's Gem: The Polyhedron Formula and the Birth of Topology

4,24 valoración promedio
( 199 valoraciones por GoodReads )
 
9780691154572: Euler's Gem: The Polyhedron Formula and the Birth of Topology

Book by Richeson David S

"Sinopsis" puede pertenecer a otra edición de este libro.

Críticas:


Winner of the 2010 Euler Book Prize, Mathematical Association of America

One of Choice's Outstanding Academic Titles for 2009

"The author has achieved a remarkable feat, introducing a nave reader to a rich history without compromising the insights and without leaving out a delicious detail. Furthermore, he describes the development of topology from a suggestion by Gottfried Leibniz to its algebraic formulation by Emmy Noether, relating all to Euler's formula. This book will be valuable to every library with patrons looking for an awe-inspiring experience." --Choice


"This is an excellent book about a great man and a timeless formula." --Charles Ashbacher, Journal of Recreational Mathematics


"I liked Richeson's style of writing. He is enthusiastic and humorous. It was a pleasure reading this book, and I recommend it to everyone who is not afraid of mathematical arguments and has ever wondered what this field of 'rubbersheet geometry' is about. You will not be disappointed." --Jeanine Daems, Mathematical Intelligencer


"The book is a pleasure to read for professional mathematicians, students of mathematicians or anyone with a general interest in mathematics." --European Mathematical Society Newsletter


"I found much more to like than to criticize in Euler's Gem. At its best, the book succeeds at showing the reader a lot of attractive mathematics with a well-chosen level of technical detail. I recommend it both to professional mathematicians and to their seatmates." --Jeremy L. Martin, Notices of the AMS


"I highly recommend this book for teachers interested in geometry or topology, particularly for university faculty. The examples, proofs, and historical anecdotes are interesting, informative, and useful for encouraging classroom discussions. Advanced students will also glimpse the broad horizons of mathematics by reading (and working through) the book." --Dustin L. Jones, Mathematics Teacher


"The book should interest non-mathematicians as well as mathematicians. It is written in a lively way, mathematical properties are explained well and several biographical details are included." --Krzysztof Ciesielski, Mathematical Reviews

Reseña del editor:


Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea.


From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler's formula. Using wonderful examples and numerous illustrations, Richeson presents the formula's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map.


Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast.


"Sobre este título" puede pertenecer a otra edición de este libro.

Los mejores resultados en AbeBooks

1.

David Richeson
Editorial: Princeton University Press (2012)
ISBN 10: 0691154570 ISBN 13: 9780691154572
Nuevos Cantidad: 3
Librería
PBShop
(Wood Dale, IL, Estados Unidos de America)
Valoración
[?]

Descripción Princeton University Press, 2012. PAP. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería IB-9780691154572

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 11,39
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 3,69
A Estados Unidos de America
Destinos, gastos y plazos de envío

2.

Richeson, David S.
ISBN 10: 0691154570 ISBN 13: 9780691154572
Nuevos Cantidad: 5
Librería
GreatBookPrices
(Columbia, MD, Estados Unidos de America)
Valoración
[?]

Descripción Estado de conservación: New. Nº de ref. de la librería 12878161-n

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 12,67
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 2,44
A Estados Unidos de America
Destinos, gastos y plazos de envío

3.

Richeson, David S.
Editorial: Princeton University Press
ISBN 10: 0691154570 ISBN 13: 9780691154572
Nuevos PAPERBACK Cantidad: 3
Librería
Movie Mars
(Indian Trail, NC, Estados Unidos de America)
Valoración
[?]

Descripción Princeton University Press. PAPERBACK. Estado de conservación: New. 0691154570 Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Nº de ref. de la librería 15932299

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 12,66
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 3,69
A Estados Unidos de America
Destinos, gastos y plazos de envío

4.

David S. Richeson
Editorial: Princeton University Press, United States (2012)
ISBN 10: 0691154570 ISBN 13: 9780691154572
Nuevos Paperback Cantidad: 10
Librería
The Book Depository
(London, Reino Unido)
Valoración
[?]

Descripción Princeton University Press, United States, 2012. Paperback. Estado de conservación: New. Reprint. 234 x 152 mm. Language: English . Brand New Book. Leonhard Euler s polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller s buildings and giant all-carbon molecules. Yet Euler s formula is so simple it can be explained to a child. Euler s Gem tells the illuminating story of this indispensable mathematical idea. From ancient Greek geometry to today s cutting-edge research, Euler s Gem celebrates the discovery of Euler s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula s scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler s formula. Using wonderful examples and numerous illustrations, Richeson presents the formula s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem s development, Euler s Gem will fascinate every mathematics enthusiast. Nº de ref. de la librería AAH9780691154572

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 16,38
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

5.

David S. Richeson
Editorial: Princeton University Press, United States (2012)
ISBN 10: 0691154570 ISBN 13: 9780691154572
Nuevos Paperback Cantidad: 10
Librería
The Book Depository US
(London, Reino Unido)
Valoración
[?]

Descripción Princeton University Press, United States, 2012. Paperback. Estado de conservación: New. Reprint. 234 x 152 mm. Language: English . Brand New Book. Leonhard Euler s polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller s buildings and giant all-carbon molecules. Yet Euler s formula is so simple it can be explained to a child. Euler s Gem tells the illuminating story of this indispensable mathematical idea. From ancient Greek geometry to today s cutting-edge research, Euler s Gem celebrates the discovery of Euler s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula s scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler s formula. Using wonderful examples and numerous illustrations, Richeson presents the formula s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem s development, Euler s Gem will fascinate every mathematics enthusiast. Nº de ref. de la librería AAH9780691154572

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 16,44
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

6.

Richeson, David S.
Editorial: Princeton University Press (2012)
ISBN 10: 0691154570 ISBN 13: 9780691154572
Nuevos Paperback Cantidad: 3
Librería
Murray Media
(North Miami Beach, FL, Estados Unidos de America)
Valoración
[?]

Descripción Princeton University Press, 2012. Paperback. Estado de conservación: New. Nº de ref. de la librería 0691154570

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 13,68
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 2,77
A Estados Unidos de America
Destinos, gastos y plazos de envío

7.

Richeson, David S.
Editorial: Princeton University Press
ISBN 10: 0691154570 ISBN 13: 9780691154572
Nuevos PAPERBACK Cantidad: 1
Librería
Booklot COM LLC
(Philadelphia, PA, Estados Unidos de America)
Valoración
[?]

Descripción Princeton University Press. PAPERBACK. Estado de conservación: New. 0691154570. Nº de ref. de la librería Z0691154570ZN

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 19,01
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
A Estados Unidos de America
Destinos, gastos y plazos de envío

8.

David S. Richeson
Editorial: Princeton University Press
ISBN 10: 0691154570 ISBN 13: 9780691154572
Nuevos Paperback Cantidad: 3
Librería
THE SAINT BOOKSTORE
(Southport, Reino Unido)
Valoración
[?]

Descripción Princeton University Press. Paperback. Estado de conservación: new. BRAND NEW, Euler's Gem: The Polyhedron Formula and the Birth of Topology, David S. Richeson, Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler's formula. Using wonderful examples and numerous illustrations, Richeson presents the formula's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast. Nº de ref. de la librería B9780691154572

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 12,36
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 6,86
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

9.

David S. Richeson
Editorial: Princeton University Press (2012)
ISBN 10: 0691154570 ISBN 13: 9780691154572
Nuevos Paperback Cantidad: 1
Librería
Irish Booksellers
(Rumford, ME, Estados Unidos de America)
Valoración
[?]

Descripción Princeton University Press, 2012. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 0691154570

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 19,32
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
A Estados Unidos de America
Destinos, gastos y plazos de envío

10.

David S. Richeson
ISBN 10: 0691154570 ISBN 13: 9780691154572
Nuevos Paperback Cantidad: 1
Librería
Grand Eagle Retail
(Wilmington, DE, Estados Unidos de America)
Valoración
[?]

Descripción Paperback. Estado de conservación: New. 152mm x 229mm x 23mm. Paperback. Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's f.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 336 pages. 0.571. Nº de ref. de la librería 9780691154572

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 19,35
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
A Estados Unidos de America
Destinos, gastos y plazos de envío

Existen otras copia(s) de este libro

Ver todos los resultados de su búsqueda