## Mathematical Thought From Ancient to Modern Times: Volume 3This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the nineteenth century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Gödel on recent mathematical study. |

### What people are saying - Write a review

#### Review: Mathematical Thought from Ancient to Modern Times: Vol 1

User Review - Victor Davis - GoodreadsDefinitely reading part 2. A very riveting account of exactly the title. All the anecdotes, the myths, the stories, the hard facts, personalities, rivalries, everything. Oh, and math! It's refreshing ... Read full review

#### Review: Mathematical Thought from Ancient to Modern Times, Vol. 1

User Review - Hannah - GoodreadsKline is a very biased author. He gives no credit to the non-European civilizations. His language about the ancient Egyptians and Babylonians is, for example, very demeaning. The book involves some ... Read full review

### Contents

I | 813 |

II | 818 |

III | 822 |

IV | 826 |

V | 829 |

VI | 834 |

VII | 837 |

VIII | 840 |

LIV | 1015 |

LV | 1017 |

LVI | 1023 |

LVII | 1026 |

LVIII | 1028 |

LIX | 1032 |

LX | 1036 |

LXI | 1038 |

IX | 852 |

X | 855 |

XI | 861 |

XII | 863 |

XIII | 867 |

XIV | 869 |

XV | 874 |

XVI | 877 |

XVII | 879 |

XVIII | 882 |

XIX | 889 |

XX | 896 |

XXI | 899 |

XXII | 904 |

XXIII | 906 |

XXIV | 913 |

XXV | 917 |

XXVI | 921 |

XXVII | 924 |

XXVIII | 925 |

XXIX | 932 |

XXX | 934 |

XXXI | 937 |

XXXII | 939 |

XXXIII | 942 |

XXXIV | 943 |

XXXV | 947 |

XXXVI | 949 |

XXXVII | 954 |

XXXVIII | 956 |

XXXIX | 961 |

XL | 966 |

XLI | 972 |

XLII | 979 |

XLIII | 980 |

XLIV | 982 |

XLV | 987 |

XLVI | 990 |

XLVII | 992 |

XLVIII | 994 |

XLIX | 998 |

L | 1002 |

LI | 1005 |

LII | 1007 |

LIII | 1010 |

1039 | |

LXIII | 1040 |

LXIV | 1041 |

LXVI | 1044 |

LXVII | 1050 |

LXVIII | 1052 |

LXIX | 1056 |

LXX | 1060 |

LXXI | 1070 |

LXXII | 1073 |

LXXIII | 1076 |

LXXIV | 1077 |

LXXV | 1081 |

LXXVI | 1091 |

LXXVII | 1096 |

LXXVIII | 1098 |

LXXIX | 1103 |

LXXX | 1109 |

LXXXI | 1122 |

LXXXII | 1123 |

LXXXIII | 1127 |

LXXXIV | 1130 |

LXXXV | 1133 |

LXXXVI | 1136 |

LXXXVII | 1137 |

LXXXVIII | 1146 |

LXXXIX | 1150 |

XC | 1153 |

XCI | 1156 |

XCII | 1158 |

XCIII | 1159 |

XCIV | 1163 |

XCV | 1170 |

XCVI | 1176 |

XCVII | 1177 |

XCVIII | 1179 |

XCIX | 1182 |

C | 1183 |

CI | 1185 |

CII | 1187 |

CIII | 1192 |

CIV | 1197 |

CV | 1203 |

CVI | 1208 |

### Common terms and phrases

abstract algebraic integers algebraic numbers analysis analytic angle arithmetic asymptotic asymptotic series axiomatic Betti number calculus called Cantor cardinal number Cauchy Chap coefficients complex numbers concept continuous continuous functions convergence coordinates covariant curvature curve defined definition denoted derived differential equations divergent series elements elliptic geometry Euclid's Euclidean geometry Euclidean space existence expression field figures finite number formulas Fourier series functions fur Math Gauss gave geodesics given Hilbert hyperbolic geometry infinite sets integral equations interval introduced invariants irrational numbers Jour Lebesgue Lebesgue integrable linear Lobatchevsky logic manifold mathematicians mathematics method metric n-dimensional non-Euclidean geometry notion number system number theory one-to-one correspondence operator paper parallel axiom physical plane Poincare points polynomials problem projective geometry proof properties proved quadratic rational numbers real numbers Riemann sequence solution space summable surface tensor theorem topology transformation triangle values variables vector Werkr zero