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Greek Mathematical Works, Volume I: Thales to Euclid: Selections by Ivor Thomas
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Specificaties
- Objectstaat
- ISBN-13
- 9780674993693
- Book Title
- Greek Mathematical Works, Volume I: Thales to Euclid
- ISBN
- 9780674993693
- Subject Area
- Literary Criticism, Mathematics, History
- Publication Name
- Greek Mathematical Works Vol. I : Thales to Euclid
- Publisher
- Harvard University Press
- Item Length
- 6.6 in
- Subject
- History & Philosophy, Ancient / Greece, Ancient & Classical
- Publication Year
- 1939
- Series
- Loeb Classical Library
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1.3 in
- Features
- Revised
- Item Weight
- 14.3 Oz
- Item Width
- 4.6 in
- Number of Pages
- 576 Pages
Over dit product
Product Information
The wonderful achievement of Greek mathematics is here illustrated in two volumes of selected mathematical works. Volume I contains: The divisions of mathematics; mathematics in Greek education; calculation; arithmetical notation and operations, including square root and cube root; Pythagorean arithmetic, including properties of numbers; square root of 2; proportion and means; algebraic equations; Proclus; Thales; Pythagorean geometry; Democritus; Hippocrates of Chios; duplicating the cube and squaring the circle; trisecting angles; Theaetetus; Plato; Eudoxus of Cnidus (pyramid, cone, etc.); Aristotle (the infinite, the lever); Euclid. Volume II ( Loeb Classical Library no. 362 ) contains: Aristarchus (distances of sun and moon); Archimedes (cylinder, sphere, cubic equations; conoids; spheroids; spiral; expression of large numbers; mechanics; hydrostatics); Eratosthenes (measurement of the earth); Apollonius (conic sections and other works); later development of geometry; trigonometry (including Ptolemy's table of sines); mensuration: Heron of Alexandria; algebra: Diophantus (determinate and indeterminate equations); the revival of geometry: Pappus.
Product Identifiers
Publisher
Harvard University Press
ISBN-10
0674993691
ISBN-13
9780674993693
eBay Product ID (ePID)
186985
Product Key Features
Number of Pages
576 Pages
Language
English
Publication Name
Greek Mathematical Works Vol. I : Thales to Euclid
Publication Year
1939
Subject
History & Philosophy, Ancient / Greece, Ancient & Classical
Features
Revised
Type
Textbook
Subject Area
Literary Criticism, Mathematics, History
Series
Loeb Classical Library
Format
Hardcover
Dimensions
Item Height
1.3 in
Item Weight
14.3 Oz
Item Length
6.6 in
Item Width
4.6 in
Additional Product Features
Intended Audience
Trade
Series Volume Number
335
Illustrated
Yes
Volume Number
Vol. 1
Edition Description
Revised Edition
Table of Content
I. Introductory-- (a) Mathematics and its divisions- (i) Origin of the name (ii) The Pythagorean quadrivium (iii) Plato's scheme (iv) Logistic (v) Later classification (b) Mathematics in Greek Education (c) Practical calculation- (i) Enumeration by fingers (ii) The abacus II. Arithmetical Notation And The Chief Arithmetical Operations- (a) English notes and examples (b) Division (c) Extraction of the square root (d) Extraction of the cube root III. Pythagorean Arithmetic- (a) First principles (b) Classification of numbers (c) Perfect numbers (d) Figured numbers- (i) General (ii) Triangular numbers (iii) Oblong and square numbers (iv) Polygonal numbers (v) Gnomons of polygonal numbers (e) Some properties of numbers- (i) The " sieve " of Eratosthenes (ii) Divisibility of squares (iii) A theorem about cube numbers (iv) A property of the pythmen (f) Irrationality of the square root of 2 (g) The theory of proportion and means- (i) Arithmetic, geometric and harmonic means (ii) Seven other means (iii) Pappus's equations between means (iv) Plato on means between two squares or two cubes (v) A theorem of Archytas (h) Algebraic equations- (i) Side- and diameter-numbers (ii) The " bloom " of Thymaridas IV. Proclus's Summary V. Thales VI. Pythagorean Geometry- (a) General (b) Sum of the angles of a triangle (c) " Pythagoras's theorem " (d) The application of areas (e) The irrational (f) The five regular solids VII. Democritus VIII. Hippocrates Of Chios- (a) General (b) Quadrature of lunes (c) Two mean proportionals IX. Special Problems- 1. Duplication of the Cube - (a) General (b) Solutions given by Eutocius- (i) " Plato " (ii) Heron (iii) Diocles (iv) Menaechmus : solution by conies (v) Archytas : solution in three dimensions (vi) Eratosthenes (vii) Nicomedes : the Conchoid 2. Squaring of the Circle- (a) General (b) Approximation by polygons- (i) Antiphon (ii) Bryson (iii) Archimedes (c) Solutions by higher curves- (i) General (ii) The Quadratrix 3. Trisection of an Angle- (a) Types of geometrical problems (b) Solution by means of a verging (c) Direct solutions by means of conies X. Zeno Of Elea XI. Theaetetus- (a) General (b) The five regular solids (c) The irrational XII. Plato- (a) General (b) Philosophy of mathematics (c) The diorismos in the Meno (d) The nuptial number (e) Generation of numbers XIII. Eudoxus of Cnidos- (a) Theory of proportion (b) Volume of pyramid and cone (c) Theory of concentric spheres XIV. Aristotle#151
Copyright Date
1939
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