9780486243153 - Mathematics in the Time of the Pharaohs de Gillings, Richard (18 resultados)

paperback. Condición: Acceptable. This is a used book. It may contain highlighting/underlining and/or the book may show heavier signs of wear . It may also be ex-library or without dustjacket. This is a used book. It may contain highlighting/underlining and/or the book may show heavier signs of wear . It may also be ex-library or without dustjacket.

paperback. Condición: Acceptable. light stains Satisfaction 100% guaranteed.

Condición: Good. 1 Edition. Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good.

Paperback. Condición: Very Good. Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority!

Paperback. Condición: Very Good. Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority!

Condición: Very Good. Very Good condition. A copy that may have a few cosmetic defects. May also contain light spine creasing or a few markings such as an owner's name, short gifter's inscription or light stamp.

Condición: Good. Good condition. A copy that has been read but remains intact. May contain markings such as bookplates, stamps, limited notes and highlighting, or a few light stains.

Softcover. Condición: Good. No Jacket. First Edition. G+ condition. A sticker appears to have removed a small portion of the top layer of the rear cover. The binding is tight. The front flyleaf is stamped. The interior pages are clean and unmarked. Electronic delivery tracking will be issued free of charge.

Paperback. Condición: Good. The book has been read but remains in clean condition. All pages are intact and the cover is intact. Some minor wear to the spine.

Paperback. Condición: Fair. A readable copy of the book which may include some defects such as highlighting and notes. Cover and pages may be creased and show discolouration.

Soft cover. Condición: Very Good. Trade Paperback with only minor reading wear; book is clean, unmarked. In stock. Ships from MN, USA.

Condición: New. Brand New.

Soft cover. Condición: As New. No Jacket. Scarce. This fascinating soft cover book is 288 pages in length, with some text figures, map, and 14 appendices. It is a reprint of the 1972 edition. Our copy is unread and is in as new condition. Photographs are available. "In writing the first book-length study of ancient Egyptian mathematics, Richard Gillings presents evidence that Egyptian achievements in this area are much more substantial than has been previously thought. He does so in a way that will interest not only historians of Egypt and of mathematics, but also people who simply like to manipulate numbers in novel ways. He examines all the extant sources, with particular attention to the most extensive of these--the Rhind Mathematical Papyrus, a collection of training exercises for scribes. This papyrus, besides dealing with the practical, commercial computations for which the Egyptians developed their mathematics, also includes a series of abstract numerical problems stated in a more general fashion. The mathematical operations used were extremely limited in number but were adaptable to a great many applications. The Egyptian number system was decimal, with digits sequentially arranged (much like our own, but reading right to left), allowing them to add and subtract with ease. They could multiply any number by two, and to accomplish more extended multiplications made use of a binary process, successively multiplying results by two and adding those partial products that led to the correct result. Division was done in a similar way. They could fully manipulate fractions, even though all of them (with one exception) were expressed in the unwieldy form of sumes of unit fractions--those having "1" as their numerator. (The exception was 2/3. The scribes recognized this as a very special quantity and took 2/3 of integral or fractional numbers whenever the change presented itself in the course of computation.) In expressing a rational quantity as a series of unit fractions, the scribes were generally able to choose a simple and direct solution from among the many--sometimes thousands--that are possible. Doing this without modern computers would seem quite as remarkable as building pyramids without modern machinery. The range of mathematical problems that were solved using these limited operational means is far wider than many historians of mathematics acknowledge. Gillings gives examples showing that the Egyptians were able, for example, to solve problems in direct and inverse proportion; to evaluate certain square roots; to introduce the concept of a "harmonic mean" between two numbers; to solve linear equations of the first degree, and two simultaneous equations, one of the second degree; to find the sum of terms of arithmetic and geometric progressions; to calculate the area of a circle and of cylindrical (possibly even spherical) surfaces; to calculate the volumes of truncated pyramids and cylindrical granaries; and to make use of rudimentary trigonometric functions in describing the slopes of pyramids. The Egyptian accomplishment that historians have tended to repeat uncritically, one after another, is one that Gillings can find no evidence to support: that the Egyptians knew the Pythagorean theorem, at least in the special case of the 3-4-5 right triangle".

Trade Paperback. Condición: Like New. Paul E. Kennedy (Cover Design) Ilustrador. Unabridged, Slightly Corrected Republ. 286 + pp. Flawless copy.

Paperback. Condición: Brand New. unabridged, slightly corrected republ. edition. 286 pages. 8.50x5.50x0.75 inches. In Stock.

Couverture souple. Condición: bon. R300315709: 1982. In-8. Broché. Etat d'usage, Couv. convenable, Dos plié, Intérieur frais. 286 pages - photo en noir et blanc en frontispice. Livre en anglais. Léger accroc sur le dos. . . . Classification Dewey : 420-Langue anglaise. Anglo-saxon.

Condición: New. New. In shrink wrap. Looks like an interesting title! 0.87.

Soft cover. Condición: Near Fine. 8vo (20.5 cm), X, [4], 446 pp.; IX, [1], 286, [18] pp. Publisher's laminated wrappers with minor shelf-wear. This unabridged republication of the work first published in 1972 is the first book-length study of ancient Egyptian mathematics. In this remarkably erudite work, Professor Gillings traces the development of Egyptian mathematics from its practical origins in commerce and daily computations to achievements such as solving problems in direct and inverse proportion, linear equations of the first degree, summing arithmetic and geometric progressions, and using rudimentary trigonometric functions to describe the slopes of pyramids. Drawing extensively on sources like the Egyptian Mathematical Leather Roll, the Reisner Papyri, the Moscow Mathematical Papyrus, and especially the Rhind Mathematical Papyrus--a training manual for scribes--Gillings demonstrates that while ancient Egyptian mathematical operations were limited in number, they were ingeniously versatile. He also challenges enduring myths, such as numerical mysticism tied to the Great Pyramids and the claim that the Egyptians were familiar with the Pythagorean Theorem.