Mathematical Thought from Ancient to Modern Times:This comprehensive history traces the development of mathematical ideas and the careers of the mathematicians responsible for them. Originally published in 1972, it is now available as a three volume paperback edition. 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. 
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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 nonEuropean civilizations. His language about the ancient Egyptians and Babylonians is, for example, very demeaning. The book involves some ... Read full review
Contents
I  3 
II  4 
III  5 
IV  7 
V  8 
VI  10 
VII  11 
VIII  13 
LVII  183 
LVIII  188 
LIX  190 
LX  191 
LXI  195 
LXII  197 
LXIII  200 
LXIV  201 
IX  15 
X  16 
XI  18 
XII  21 
XIII  22 
XIV  24 
XV  25 
XVI  27 
XVII  28 
XIX  34 
XX  37 
XXI  42 
XXII  48 
XXIII  51 
XXIV  56 
XXV  57 
XXVI  58 
XXVII  60 
XXVIII  68 
XXIX  73 
XXX  77 
XXXI  80 
XXXII  81 
XXXIII  86 
XXXIV  88 
XXXV  89 
XXXVI  101 
XXXVII  103 
XXXVIII  105 
XXXIX  116 
XL  117 
XLI  119 
XLII  126 
XLIII  131 
XLIV  135 
XLV  145 
XLVI  146 
XLVII  147 
XLVIII  154 
XLIX  160 
L  162 
LI  166 
LII  168 
LIII  171 
LIV  173 
LV  176 
LVI  177 
LXV  202 
LXVI  203 
LXVII  205 
LXVIII  206 
LXIX  209 
LXX  211 
LXXI  213 
LXXII  216 
LXXIII  218 
LXXIV  220 
LXXV  221 
LXXVI  223 
LXXVII  227 
LXXVIII  231 
LXXIX  234 
LXXX  236 
LXXXI  237 
LXXXII  240 
LXXXIII  247 
LXXXIV  250 
LXXXV  251 
LXXXVI  259 
LXXXVII  263 
LXXXVIII  270 
LXXXIX  274 
XC  278 
XCI  285 
XCII  286 
XCIII  288 
XCIV  295 
XCV  299 
XCVI  302 
XCVIII  303 
XCIX  304 
C  308 
CI  317 
CII  325 
CIII  327 
CIV  335 
CV  342 
CVII  344 
CVIII  356 
CIX  370 
CX  380 
CXI  381 
CXII  383 
Common terms and phrases
angle Apollonius Arabs Archimedes Aristotle arithmetic and algebra astronomy axioms Babylonians became bodies Book calculation called Cardan century Chap chord circle classical concept cone conic sections construction coordinate geometry cube curves deductive definition Desargues Descartes Descartes's diameter Diophantus Dover reprint earth Egyptian ellipse equal equation Euclid Euclid's Elements Euclidean geometry Eudoxus example fact Fermat Figure fractions functions Galileo given Greek mathematics Hence Hindus Hipparchus History of Mathematics hyperbola ideas infinite integral irrational numbers Kepler knowledge Leibniz length magnitudes mathe mathematicians matics mechanics method method of exhaustion motion nature negative numbers Newton notation obtained Pappus parabola Pascal period philosophy physical plane Plato principles problems Proclus proof Proposition proved Ptolemy Pythagoreans quadratic quantities ratio rectangle roots says sides solve sphere spherical square straight line symbols tangent theorem theory of numbers triangle trigonometry University values velocity Vieta volumes whole numbers wrote