最 低 价：￥243.70
定 价：￥270.75
作 者：Sir Thomas L. Heath 著 著
出 版 社：Oversea Publishing House
出版时间：2003-12-1
I S B N：9780486432311
| ⅠINTRODUCTORY Classification of mathematical subjects Mathematics in Greek education ⅡNUMERICAL NOTATION AND PRACTICAL CAL-CULATION The decimal system Egyptian numerical notation Babylonian systems Greek numerical notation (a) The 'Herodianie' or 'Attic' system (b) The ordinary alphabetic numerals (e) Notation for large numbers (d) Archimedes' system for large numbers ('octads') Fractions Sexagesimal fractions Practical calculation (α) The abacus (β) Addition and subtraction (γ) Multiplication (δ) Division (ε) Extraction of square root Ⅲ PYTHAGOREAN ARITHMETIC Definitions of the unit and of number Classification of numbers 'Perfect' and ' Friendly' numbers Figured numbers (a) Triangular numbers (b) Square numbers and gnomons (c) Gnomons of the polygonal numbers (d) Right-angled triangles with sides in rational numbers (e) Oblong numbers The theory of proportion and means Geometric Means The irrational Algebraic equations (α) Indeterminate equations of the second degree 2x2-y2=±1 (β) Epanthenm of Thymaridas (γ) Equation xy=2 (x+y) Manuals of ' Arithmetic' Nicomachus of Gerasa Sum of series of cube numbers Theon of Smyrna Iamblichus Ⅳ THE EARLIEST GREEK GEOMETRY. THALES The 'Summary' of Proclus Egyptian geometry (mensuration) Thales (a) Measurement of height of pyramid (b) Geometrical theorems (c) Thales as astronomer From Thales to Pythagoras Anaximander Ⅴ PYTHAGOREAN GEOMETRY (α) Sum of angles of any triangle equal to two right angles (β) The ' Theorem of Pythagoras' (γ) Application of areas and geometrical algebra (δ) The irrational (ε) The five regular solids (ζ) Pythagorean astronomy Summary Ⅵ PROGRESS IN THE ELEMENTS DOWN TO PLATO'S TIME Anaxagoras Oenopides of Chios Democritus I-Iippias of Ells Hippocrates of Chios (a) Quadratures of lunes (b) Reduction of the problem of doubling the cube (c) The Elements as known to Hippocrates …… Ⅶ SPECIAL PROBLEMS Ⅷ FROM PLATO TO EUCLID Ⅸ EUCLID Ⅹ ARISTARCHUS OF SAMOS Ⅺ ARCHIMEDES Ⅻ CONIC SECTIONS ⅩⅢ THE SUCCESSORS OF THE GREAT GEOMETERS ⅩⅣ TRIGONOMETRY:HIPPARCHUS,MENELAUS,PTOLEMY ⅩⅤ MENSURATION:HERON OF ALEXANDRIA ⅩⅥ PAPPUS OF ALEXANDRIA ⅩⅦ ALGEBRA:DIOPHANTUS OF ALEXANDRIA ⅩⅧ COMMENTATORS AND MINOR WRITERS APPENDIX ADDITIONAL NOTES INDICES |
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