Author: Thomas Little Heath
Publisher: Dalcassian Publishing Company
ISBN:
Category :
Languages : en
Pages : 468
Book Description
A history of Greek mathematics
Author: Thomas Little Heath
Publisher: Dalcassian Publishing Company
ISBN:
Category :
Languages : en
Pages : 468
Book Description
Publisher: Dalcassian Publishing Company
ISBN:
Category :
Languages : en
Pages : 468
Book Description
A History of Greek Mathematics: From Thales to Euclid
Author: Sir Thomas Little Heath
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 476
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 476
Book Description
Euclid's Elements
Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Greek Geometry from Thales to Euclid
Author: George Johnston Allman
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 266
Book Description
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 266
Book Description
Early Greek Science
Author: G E R Lloyd
Publisher: Random House
ISBN: 1448156718
Category : Science
Languages : en
Pages : 149
Book Description
In this new series leading classical scholars interpret afresh the ancient world for the modern reader. They stress those questions and institutions that most concern us today: the interplay between economic factors and politics, the struggle to find a balance between the state and the individual, the role of the intellectual. Most of the books in this series centre on the great focal periods, those of great literature and art: the world of Herodotus and the tragedians, Plato and Aristotle, Cicero and Caesar, Virgil, Horace and Tacitus. This study traces Greek science through the work of the Pythagoreans, the Presocratic natural philosophers, the Hippocratic writers, Plato, the fourth-century B.C. astronomers and Aristotle. G. E. R. Lloyd also investigates the relationships between science and philosophy and science and medicine; he discusses the social and economic setting of Greek science; he analyses the motives and incentives of the different groups of writers.
Publisher: Random House
ISBN: 1448156718
Category : Science
Languages : en
Pages : 149
Book Description
In this new series leading classical scholars interpret afresh the ancient world for the modern reader. They stress those questions and institutions that most concern us today: the interplay between economic factors and politics, the struggle to find a balance between the state and the individual, the role of the intellectual. Most of the books in this series centre on the great focal periods, those of great literature and art: the world of Herodotus and the tragedians, Plato and Aristotle, Cicero and Caesar, Virgil, Horace and Tacitus. This study traces Greek science through the work of the Pythagoreans, the Presocratic natural philosophers, the Hippocratic writers, Plato, the fourth-century B.C. astronomers and Aristotle. G. E. R. Lloyd also investigates the relationships between science and philosophy and science and medicine; he discusses the social and economic setting of Greek science; he analyses the motives and incentives of the different groups of writers.
The Foundations of Geometry and the Non-Euclidean Plane
Author: G.E. Martin
Publisher: Springer Science & Business Media
ISBN: 1461257255
Category : Mathematics
Languages : en
Pages : 525
Book Description
This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary.
Publisher: Springer Science & Business Media
ISBN: 1461257255
Category : Mathematics
Languages : en
Pages : 525
Book Description
This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary.
A Short History of Greek Mathematics
Author: James Gow
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 350
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 350
Book Description
The Heritage of Thales
Author: W.S. Anglin
Publisher: Springer Science & Business Media
ISBN: 1461208033
Category : Science
Languages : en
Pages : 304
Book Description
The authors' novel approach to some interesting mathematical concepts - not normally taught in other courses - places them in a historical and philosophical setting. Although primarily intended for mathematics undergraduates, the book will also appeal to students in the sciences, humanities and education with a strong interest in this subject. The first part proceeds from about 1800 BC to 1800 AD, discussing, for example, the Renaissance method for solving cubic and quartic equations and providing rigorous elementary proof that certain geometrical problems posed by the ancient Greeks cannot be solved by ruler and compass alone. The second part presents some fundamental topics of interest from the past two centuries, including proof of G del's incompleteness theorem, together with a discussion of its implications.
Publisher: Springer Science & Business Media
ISBN: 1461208033
Category : Science
Languages : en
Pages : 304
Book Description
The authors' novel approach to some interesting mathematical concepts - not normally taught in other courses - places them in a historical and philosophical setting. Although primarily intended for mathematics undergraduates, the book will also appeal to students in the sciences, humanities and education with a strong interest in this subject. The first part proceeds from about 1800 BC to 1800 AD, discussing, for example, the Renaissance method for solving cubic and quartic equations and providing rigorous elementary proof that certain geometrical problems posed by the ancient Greeks cannot be solved by ruler and compass alone. The second part presents some fundamental topics of interest from the past two centuries, including proof of G del's incompleteness theorem, together with a discussion of its implications.
Greek Astronomy
Author: Thomas L. Heath
Publisher: Cambridge University Press
ISBN: 1108062806
Category : Performing Arts
Languages : en
Pages : 257
Book Description
Published in 1932, this collection of translated excerpts on ancient astronomy was prepared by Sir Thomas Little Heath (1861-1940).
Publisher: Cambridge University Press
ISBN: 1108062806
Category : Performing Arts
Languages : en
Pages : 257
Book Description
Published in 1932, this collection of translated excerpts on ancient astronomy was prepared by Sir Thomas Little Heath (1861-1940).
A Mathematical History of the Golden Number
Author: Roger Herz-Fischler
Publisher: Courier Corporation
ISBN: 0486152324
Category : Mathematics
Languages : en
Pages : 228
Book Description
This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations.
Publisher: Courier Corporation
ISBN: 0486152324
Category : Mathematics
Languages : en
Pages : 228
Book Description
This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations.