A Mathematical History of the Golden Number (Dover Books on Mathematics): Herz-Fischler, Roger: 9780486400075: Amazon.com: Books

Buy new:

$13.29

List Price: $17.95

Save: $4.66 (26%)

No Import Fees Deposit & $10.16 Shipping to Canada Details

$10.16 delivery

Deliver to Canada

Usually ships within 2 to 3 days

$$13.29 () Includes selected options. Includes initial monthly payment and selected options. Details

Payment

Secure transaction

Ships from

Amazon.com

Sold by

Amazon.com

Returns

Eligible for Return, Refund or Replacement within 30 days of receipt

Details

Payment

Secure transaction

We work hard to protect your security and privacy. Our payment security system encrypts your information during transmission. We don’t share your credit card details with third-party sellers, and we don’t sell your information to others. Learn more

Ships from

Amazon.com

Sold by

Amazon.com

Returns

Eligible for Return, Refund or Replacement within 30 days of receipt

This item can be returned in its original condition for a full refund or replacement within 30 days of receipt.

Read full return policy

Add a gift receipt for easy returns

Added to

Unable to add item to List. Please try again.

Have one to sell?

Flip to back Flip to front

Listen Playing... Paused You're listening to a sample of the Audible audio edition.
Learn more

Follow the Author

Roger Herz-Fischler

A Mathematical History of the Golden Number (Dover Books on Mathematics)

by Roger Herz-Fischler (Author)

4.4 17 ratings

See all formats and editions

Price

New from

Used from

"Please retry"

—

—

Paperback

"Please retry"

$13.29

$12.50

$9.99

Kindle
$9.99 Read with Our Free App
Paperback
$13.29

23 Used from $9.99 21 New from $12.50

{"desktop_buybox_group_1":[{"displayPrice":"$13.29","priceAmount":13.29,"currencySymbol":"$","integerValue":"13","decimalSeparator":".","fractionalValue":"29","symbolPosition":"left","hasSpace":false,"showFractionalPartIfEmpty":true,"offerListingId":"QD2k2aighBU0kmLi7q8gtOOQ8bOjPO9V5C2Fgzgh3yTK3NYC11J6Tbnx8c%2BHR0DM%2FC8W7vQ%2F28nEZTIQSlIiEpXBUJ7E6optNWy%2B9dqPfO4KjMOmOkklg2EEO6k0gLFNoiHlGIn1Ozw%3D","locale":"en-US","buyingOptionType":"NEW","aapiBuyingOptionIndex":0}]}

Purchase options and add-ons

The first complete, in-depth study of the origins of division in extreme and mean ratio (DEMR)-"the Golden Number"-this text charts every aspect of this important mathematical concept's historic development, from its first unequivocal appearance in Euclid's Elements through the 18th century.
Readers will find a detailed analysis of the role of DEMR in the Elements and of its historical implications. This is followed by a discussion of other mathematical topics and of proposals by modern commentators concerning the relationship of these concepts to DEMR. Following chapters discuss the Pythagoreans, examples of the pentagram before 400 H.C., and the writings of pre-Euclidean mathematicians. The author then presents his own controversial views on the genesis, early development and chronology of DEMR. The second half of the book traces DEMR's post-Euclidean development through the later Greek period, the Arabic world, India, and into Europe. The coherent but rigorous presentation places mathematicians' work within the context of their time and dearly explains the historical transmission of their results. Numerous figures help clarify the discussions, a helpful guide explains abbreviations and symbols, and a detailed appendix defines terminology for DEMR through the ages.
This work will be of interest not only to mathematicians but also to classicists, archaeologists, historians of science and anyone interested in the transmission of mathematical ideas. Preface to the Dover Edition. Foreword. A Guide for Readers. Introduction. Appendixes. Corrections and Additions. Bibliography.

ISBN-10

0486400077
ISBN-13

978-0486400075
Edition

Unabridged
Publisher

Dover Publications
Publication date

January 29, 1998
Language

English
Dimensions

8.28 x 0.45 x 11.2 inches
Print length

195 pages
See all details

Frequently bought together

A Mathematical History of the Golden Number (Dover Books on Mathematics)

$13.29

Usually ships within 2 to 3 days

Ships from and sold by Amazon.com.

+

A History of Greek Mathematics, Vol. 1: From Thales to Euclid

$23.99

In Stock

Ships from and sold by Amazon.com.

+

A History of Greek Mathematics, Volume II: From Aristarchus to Diophantus (Dover Books on Mathematics)

$19.95

In Stock

Ships from and sold by Amazon.com.

Total price:

To see our price, add these items to your cart.

Try again!

Added to Cart

Some of these items ship sooner than the others.

Show details Hide details

Choose items to buy together.

Sir Thomas Heath
72
Paperback
$23.99
$10.25 shipping
Ananda K. Coomaraswamy
18
Paperback
$42.00
$10.05 shipping

Product details

Publisher ‏ : ‎ Dover Publications; Unabridged edition (January 29, 1998)
Language ‏ : ‎ English
Paperback ‏ : ‎ 195 pages
ISBN-10 ‏ : ‎ 0486400077
ISBN-13 ‏ : ‎ 978-0486400075
Item Weight ‏ : ‎ 1.04 pounds
Dimensions ‏ : ‎ 8.28 x 0.45 x 11.2 inches

Best Sellers Rank: #1,790,501 in Books (See Top 100 in Books)
- #436 in Number Theory (Books)
- #1,104 in Mathematics History
- #188,892 in History (Books)

Customer Reviews:
4.4 17 ratings

Important information

To report an issue with this product, click here.

About the author

Follow authors to get new release updates, plus improved recommendations.

Roger Herz-Fischler

Brief content visible, double tap to read full content.

Full content visible, double tap to read brief content.

Discover more of the author’s books, see similar authors, read author blogs and more

Customer reviews

4.4 out of 5

17 global ratings

5 star
4 star
3 star 0% (0%)		0%
2 star
1 star 0% (0%)		0%

How customer reviews and ratings work

Sort reviews by

Top reviews from the United States

There was a problem filtering reviews right now. Please try again later.

George A. Huttlin

Reviewed in the United States on November 23, 2014

Verified Purchase

Its approach is very geometrical and incredibly historical. The bibliography is humongous.

One person found this helpful

Reviewed in the United States on September 25, 2015

Verified Purchase

Great

Reviewed in the United States on August 9, 2015

Verified Purchase

The truth is out there!

One person found this helpful

Reviewed in the United States on November 24, 2014

Verified Purchase

Recommend! Shipped fast

A tour through Euclid

Reviewed in the United States on January 13, 2016

The right way to think about the golden ratio is not as the decimal expansion 1.618... or even as the positive solution of x^2-x-1=0, but as a particular way of cutting a line AB, "division in extreme and mean ratio" (DEMR): cut a line AB at a point C such that AB:AC = AC:CB. The original title of the book was "A Mathematical History of Division in Extreme and Mean Ratio". The first part of this book lays out the propositions in Euclid that have to do with DEMR. What is especially useful about the book is listing for each proposition what propositions it uses and what propositions it is used for. DEMR is not a small topic in the Elements, and following this path is a nice way to go through the Elements without having to digest the whole work.

4 people found this helpful

Top reviews from other countries

Translate all reviews to English

Antonio José González Villar

Compendio matemático de gran valor didáctico y científico.

Reviewed in Spain on April 3, 2016

Verified Purchase

Este libro es esencialmente un compendio histórico matemático de gran valor científico, aunque es algo
complicado en hilvanar sus reseñas sobre lo dicho por autores antiguos acerca del origen del Número
de Oro, asociado éste a la figura geométrica de un pentágono regular. Y, se echa algo de menos su
indudable relación y conexión con la figura del rectángulo áureo, y Fi ( Nº Aureo, 1,618... ), con su espiral
áurea de Durero representada tantas veces en el Arte y la ciencia de la Naturaleza ( Leonardo da Vinci,
Nautilus Emperador, respectivámente ). Desde el punto de vista matemático es altamente recomendable.

Translate review to English

RB

Four Stars

Reviewed in the United Kingdom on August 25, 2016

Verified Purchase

AM happy

Sorbi Armando

Difficile

Reviewed in Italy on May 17, 2014

Verified Purchase

Difficile; segue molto "Elementi" di Euclide che non è certo per principianti.
Non fa nulla per semplificarlo. Libro per esperti

Translate review to English

See more reviews

Get to Know Us

Make Money with Us

Amazon Payment Products

Let Us Help You

English $USD - U.S. Dollar United States

© 1996-2023, Amazon.com, Inc. or its affiliates