A Method for the Calculation of the Zeta-Function

A Method for the Calculation of the Zeta-Function


Description: FIRST EDITION of Turing’s work outlining a method (which he hoped could be performed by a machine) to solve one of mathematics’ most perplexing issues: the calculation the zeros of the Riemann zeta-function. “Having worked on the zeta-function since his Ph.D.-thesis but never having published anything directly on the topic, Turing began working as chief cryptanalyst during the Second World War and thus postponed this important work till after the war. Thus, it was not until 1943 that he was actually able to publish his first work on this most important subject, namely the work that he had presented already in 1939, the groundbreaking ‘A Method for the Calculation of the Zeta-Function’, which constitutes his first printed contribution to the subject” (Andrew Hodges). “The Turing archive contains a sketch of a proposal, in 1939, to build an analog computer that would calculate approximate values for the Riemann zeta-function on the critical line. His ingenious method was published in 1943”... Although he received a grant “to build a special-purpose analog computer using his electromechanical relays to compute values of the Riemann zeta function, [he] never completed this project.” (Downey, Turing’s Legacy; Modern Mathematics). Turing not only designed a machine to calculate the zeros of the zeta function, but “did his own engineering work [and] hence, got involved in all the fine details of constructing this machine. He planned on eighty meshing gear wheels with weights attached at specific distances from their centers. The different moments of inertia would contribute different factors to the calculation, and the result would be the location of and an enumeration of the zeros of zeta. “Visitors to Turing’s apartment would be greeted by heaps of gear wheels and axles and other junk strewn about the place. Although Turing got a good start cutting the gears and getting ready to assemble the machine, more pressing events (such as World War II) interrupted his efforts. His untimely death prevented the completion of the project” (Krantz, Mathematical Apocrypha Redux). IN: Proceedings of the London Mathematical Society, Series 2., Vol. 48., Part 3., December 15, 1943, pp. 180-197. London: C.F. Hodgson & Son, Ltd., 1943. Tall octavo, modern three quarter red cloth over linen boards, original wrappers bound-in. A beautiful, fine copy with full margins and no institutional stamps. RARE.
Artist or Maker: TURING, ALAN
Request more information

Payment

Accepted forms of payment: American Express, MasterCard, Visa
Shipping: Shipping is by FedEx unless otherwise requested and is offered gratis.
Ships to: United States of America, United Kingdom, Canada, Australia, Afghanistan, Albania, Algeria, American Samoa, Andorra, Angola, Anguilla, Antarctica, Antigua and Barbuda, APO/FPO, Argentina, Armenia, Aruba, Austria, Azerbaijan Republic, Bahamas, Bahrain, Bangladesh, Barbados, Belarus, Belgium, Belize, Benin, Bermuda, Bhutan, Bolivia, Bosnia and Herzegovina, Botswana, Bouvet Island, Brazil, British Indian Ocean Territory, Brunei Darussalam, Bulgaria, Burkina Faso, Burundi, Cambodia, Cameroon, Cape Verde Islands, Cayman Islands, Central African Republic, Chad, Chile, China, Christmas Island, Cocos (Keeling Islands), Colombia, Comoros, Congo, Cook Islands, Costa Rica, Cote D'Ivoire (Ivory Coast), Croatia, Republic of (Hrvatska), Cuba, Cyprus, Czech Republic, Denmark, Djibouti, Dominica, Dominican Republic, East Timor, Ecuador, Egypt, El Salvador, Equatorial Guinea, Eritrea, Estonia, Ethiopia, Falkland Islands (Islas Malvinas), Faroe Islands, Fiji, Finland, France, French Guiana, French Polynesia, French Southern Territories, Gabon, Gambia, Georgia, Germany, Ghana, Gibraltar, Greece, Greenland, Grenada, Guadeloupe, Guam, Guatemala, Guinea, Guinea-Bissau, Guyana, Haiti, Heard and McDonald Islands, Honduras, Hong Kong, Hungary, Iceland, India, Indonesia, Iran, Iraq, Ireland, Israel, Italy, Jamaica, Japan, Jordan, Kazakhstan, Kenya, Kiribati, Korea, North (People's Republic), Korea, South (Republic), Kuwait, Kyrgyzstan (Kyrgyz Republic), Laos, Latvia, Lebanon, Lesotho, Liberia, Libya, Liechtenstein, Lithuania, Luxembourg, Macau, Macedonia, Madagascar, Malawi, Malaysia, Maldives, Mali, Malta, Marshall Islands, Martinique, Mauritania, Mauritius, Mayotte, Mexico, Micronesia, Moldova, Monaco, Mongolia, Montenegro, Montserrat, Morocco, Mozambique, Myanmar, Namibia, Nauru, Nepal, Netherlands, Netherlands Antilles, New Caledonia, New Zealand, Nicaragua, Niger, Nigeria, Niue, Norfolk Island, Northern Mariana Islands, Norway, Oman, Other, Pakistan, Palau, Panama, Papua New Guinea, Paraguay, Peru, Philippines, Pitcairn, Poland, Portugal, Puerto Rico, Qatar, Reunion, Romania, Russian Federation, Rwanda, S. Georgia and S. Sandwich Isls., Saint Kitts-Nevis, Saint Lucia, Saint Vincent and The Grenadines, Samoa, San Marino, Sao Tome and Principe, Saudi Arabia, Senegal, Serbia, Seychelles, Sierra Leone, Singapore, Slovakia (Slovak Republic), Slovenia, Solomon Islands, Somalia, South Africa, Soviet Union (former), Spain, Sri Lanka, St. Helena, St. Pierre and Miquelon, Sudan, Suriname, Svalbard and Jan Mayen Islands, Swaziland, Sweden, Switzerland, Syria, Taiwan, Tajikistan, Tanzania, Thailand, Togo, Tokelau, Tonga, Trinidad and Tobago, Tunisia, Turkey, Turkmenistan, Turks and Caicos Islands, Tuvalu, Uganda, Ukraine, United Arab Emirates, Uruguay, US Minor Outlying Islands, Uzbekistan, Vanuatu, Vatican City State (Holy See), Venezuela, Viet Nam, Virgin Islands (British), Virgin Islands (U.S.), Wallis and Futuna Islands, Western Sahara, Yemen, Yugoslavia, Zaire, Zambia, Zimbabwe
FedEx shipping included in the price: Shipping is by FedEx unless otherwise requested and is offered gratis.
View full terms and conditions

Seller Details

The Manhattan Rare Book Company

Ships from New York, NY, US