Author: Jens Høyrup
Publisher: Springer Science & Business Media
ISBN: 1475736851
Category : Mathematics
Languages : en
Pages : 476
Book Description
In this examination of the Babylonian cuneiform "algebra" texts, based on a detailed investigation of the terminology and discursive organization of the texts, Jens Høyrup proposes that the traditional interpretation must be rejected. The texts turn out to speak not of pure numbers, but of the dimensions and areas of rectangles and other measurable geometrical magnitudes, often serving as representatives of other magnitudes (prices, workdays, etc...), much as pure numbers represent concrete magnitudes in modern applied algebra. Moreover, the geometrical procedures are seen to be reasoned to the same extent as the solutions of modern equation algebra, though not built on any explicit deductive structure.
Lengths, Widths, Surfaces
Author: Jens Høyrup
Publisher: Springer Science & Business Media
ISBN: 1475736851
Category : Mathematics
Languages : en
Pages : 476
Book Description
In this examination of the Babylonian cuneiform "algebra" texts, based on a detailed investigation of the terminology and discursive organization of the texts, Jens Høyrup proposes that the traditional interpretation must be rejected. The texts turn out to speak not of pure numbers, but of the dimensions and areas of rectangles and other measurable geometrical magnitudes, often serving as representatives of other magnitudes (prices, workdays, etc...), much as pure numbers represent concrete magnitudes in modern applied algebra. Moreover, the geometrical procedures are seen to be reasoned to the same extent as the solutions of modern equation algebra, though not built on any explicit deductive structure.
Publisher: Springer Science & Business Media
ISBN: 1475736851
Category : Mathematics
Languages : en
Pages : 476
Book Description
In this examination of the Babylonian cuneiform "algebra" texts, based on a detailed investigation of the terminology and discursive organization of the texts, Jens Høyrup proposes that the traditional interpretation must be rejected. The texts turn out to speak not of pure numbers, but of the dimensions and areas of rectangles and other measurable geometrical magnitudes, often serving as representatives of other magnitudes (prices, workdays, etc...), much as pure numbers represent concrete magnitudes in modern applied algebra. Moreover, the geometrical procedures are seen to be reasoned to the same extent as the solutions of modern equation algebra, though not built on any explicit deductive structure.
Philippine Agriculturist and Forester
Author:
Publisher:
ISBN:
Category : Agriculture
Languages : en
Pages : 1470
Book Description
Publisher:
ISBN:
Category : Agriculture
Languages : en
Pages : 1470
Book Description
Transactions and Proceedings of the Royal Society of New Zealand
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 642
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 642
Book Description
The Twentieth Century Mould Book
Author: Dentists' Supply Co. of New York
Publisher:
ISBN:
Category : Prosthodontics
Languages : en
Pages : 166
Book Description
Publisher:
ISBN:
Category : Prosthodontics
Languages : en
Pages : 166
Book Description
Surfaces and their Measurement
Author: David J. Whitehouse
Publisher: Elsevier
ISBN: 0080518230
Category : Science
Languages : en
Pages : 425
Book Description
The importance of surface metrology has long been acknowledged in manufacturing and mechanical engineering, but has now gained growing recognition in an expanding number of new applications in fields such as semiconductors, electronics and optics. Metrology is the scientific study of measurement, and surface metrology is the study of the measurement of rough surfaces. In this book, Professor David Whitehouse, an internationally acknowledged subject expert, covers the wide range of theory and practice, including the use of new methods of instrumentation. · Written by one of the world's leading metrologists · Covers electronics and optics applications as well as mechanical · Written for mechanical and manufacturing engineers, tribologists and precision engineers in industry and academia
Publisher: Elsevier
ISBN: 0080518230
Category : Science
Languages : en
Pages : 425
Book Description
The importance of surface metrology has long been acknowledged in manufacturing and mechanical engineering, but has now gained growing recognition in an expanding number of new applications in fields such as semiconductors, electronics and optics. Metrology is the scientific study of measurement, and surface metrology is the study of the measurement of rough surfaces. In this book, Professor David Whitehouse, an internationally acknowledged subject expert, covers the wide range of theory and practice, including the use of new methods of instrumentation. · Written by one of the world's leading metrologists · Covers electronics and optics applications as well as mechanical · Written for mechanical and manufacturing engineers, tribologists and precision engineers in industry and academia
Records of the Geological Survey of India
Author: Geological Survey of India
Publisher:
ISBN:
Category : Earthquakes
Languages : en
Pages : 326
Book Description
Includes the "Annual report of the Geological Survey of India," 1867-
Publisher:
ISBN:
Category : Earthquakes
Languages : en
Pages : 326
Book Description
Includes the "Annual report of the Geological Survey of India," 1867-
Railway Locomotives and Cars
Author:
Publisher:
ISBN:
Category : Railroad engineering
Languages : en
Pages : 602
Book Description
Publisher:
ISBN:
Category : Railroad engineering
Languages : en
Pages : 602
Book Description
Graphs on Surfaces
Author: Bojan Mohar
Publisher: Johns Hopkins University Press
ISBN: 9780801866890
Category : Mathematics
Languages : en
Pages : 0
Book Description
Graph theory is one of the fastest growing branches of mathematics. Until recently, it was regarded as a branch of combinatorics and was best known by the famous four-color theorem stating that any map can be colored using only four colors such that no two bordering countries have the same color. Now graph theory is an area of its own with many deep results and beautiful open problems. Graph theory has numerous applications in almost every field of science and has attracted new interest because of its relevance to such technological problems as computer and telephone networking and, of course, the internet. In this new book in the Johns Hopkins Studies in the Mathematical Science series, Bojan Mohar and Carsten Thomassen look at a relatively new area of graph theory: that associated with curved surfaces. Graphs on surfaces form a natural link between discrete and continuous mathematics. The book provides a rigorous and concise introduction to graphs on surfaces and surveys some of the recent developments in this area. Among the basic results discussed are Kuratowski's theorem and other planarity criteria, the Jordan Curve Theorem and some of its extensions, the classification of surfaces, and the Heffter-Edmonds-Ringel rotation principle, which makes it possible to treat graphs on surfaces in a purely combinatorial way. The genus of a graph, contractability of cycles, edge-width, and face-width are treated purely combinatorially, and several results related to these concepts are included. The extension by Robertson and Seymour of Kuratowski's theorem to higher surfaces is discussed in detail, and a shorter proof is presented. The book concludes with a survey of recent developments on coloring graphs on surfaces.
Publisher: Johns Hopkins University Press
ISBN: 9780801866890
Category : Mathematics
Languages : en
Pages : 0
Book Description
Graph theory is one of the fastest growing branches of mathematics. Until recently, it was regarded as a branch of combinatorics and was best known by the famous four-color theorem stating that any map can be colored using only four colors such that no two bordering countries have the same color. Now graph theory is an area of its own with many deep results and beautiful open problems. Graph theory has numerous applications in almost every field of science and has attracted new interest because of its relevance to such technological problems as computer and telephone networking and, of course, the internet. In this new book in the Johns Hopkins Studies in the Mathematical Science series, Bojan Mohar and Carsten Thomassen look at a relatively new area of graph theory: that associated with curved surfaces. Graphs on surfaces form a natural link between discrete and continuous mathematics. The book provides a rigorous and concise introduction to graphs on surfaces and surveys some of the recent developments in this area. Among the basic results discussed are Kuratowski's theorem and other planarity criteria, the Jordan Curve Theorem and some of its extensions, the classification of surfaces, and the Heffter-Edmonds-Ringel rotation principle, which makes it possible to treat graphs on surfaces in a purely combinatorial way. The genus of a graph, contractability of cycles, edge-width, and face-width are treated purely combinatorially, and several results related to these concepts are included. The extension by Robertson and Seymour of Kuratowski's theorem to higher surfaces is discussed in detail, and a shorter proof is presented. The book concludes with a survey of recent developments on coloring graphs on surfaces.
Collected papers
Author: Oliver Perry Hay
Publisher:
ISBN:
Category :
Languages : en
Pages : 346
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 346
Book Description
Long House, Mesa Verde National Park, Colorado
Author: George S. Cattanach
Publisher:
ISBN:
Category : Long House Site (Colo.)
Languages : en
Pages : 462
Book Description
Publisher:
ISBN:
Category : Long House Site (Colo.)
Languages : en
Pages : 462
Book Description