Coleridge, On problems in m. 634
Coleridge, Proposition, gentle maid 1419
Colton, On the effect of math, training 417
Commensurable numbers 1966
Commerce and m. 1571
Committee of Ten, On figures in geometry 624
Committee of Ten, On projective geometry 1876
Common sense, M. the etherealization of 312
Computation, And m. 810
Computation, Not concerned with significance of numbers 1641
Computation, Not m. 515
Comte, Ancient and modem methods 1876
Comte, Definition of algebra and arithmetic 1714
Comte, Estimate of m. 1604
Comte, Every inquiry reducible to a question of number 1602
Comte, Geometry a natural science 1813
Comte, Hamilton on 943
Comte, M. and biology 1678 1680 1681
Comte, M. and logic 1308 1314 1326
Comte, M. and natural philosophy 1606
Comte, M. and physics 1636 1661
Comte, M. and science 1636
Comte, M. and social science 1687
Comte, M. essential to scientific education 1606
Comte, M. the indispensable basis of all education 334
Comte, Mill on 942
Comte, Mill’s estimate of 1903
Comte, On descriptive geometry 1883
Comte, On Kant’s view of m. 1437
Comte, On the business of concrete m. 104
Comte, On the graphic method 1881
Comte, On the object of m. 103
Congreve 2143
Congruence, Symbol of 1646
Conic sections 658 660 1541 1542
Conjecture, M. free from 234
Contingent truths 1966
Controversies in m. 215 243 1859
Correlation in m. 525—527 1707 1710
Correspondence the central idea of modern m. 726
Correspondence the central idea of modern m., Euclid the encouragement and guide of scientific thought 1820
Correspondence the central idea of modern m., Euclid the inspiration and aspiration of scientific thought 1821
Correspondence the central idea of modern m., His knowledge of languages 940
Correspondence the central idea of modern m., His method 939
Correspondence the central idea of modern m., His physical strength 941
Correspondence the central idea of modern m., His vision 938
Correspondence the central idea of modern m., On algebra and good English 1712
Correspondence the central idea of modern m., On Euclid’s axioms 2016
Correspondence the central idea of modern m., On geometry for girls 1842
Correspondence the central idea of modern m., On Hdmholtz 979
Correspondence the central idea of modern m., On m. and mineralogy 1668
Correspondence the central idea of modern m., On non-Euclidean geometry 2022
Correspondence, Concept of 725 726
Coulomb 1516
Counting, Every problem can be solved by 1601
Cournot, Advantage of math, notation 1220
Cournot, On algebraic notation 1213
Cournot, On the object of m. 268
Craig, On the origin of a new science 646
Credulity, M. frees mind from 450
Cremona, On English text-books 609
Crofton, On probabilities 1962 1970 1972
Crofton, On value of probabilities 1690
Cromwell, On m. and public service 328
Curiosities Chapter XXI
Curtius, M. and philosophy 1409
Curve, definition of 1927
Cyclometers, Notions of 2108
Cyclotomy depends on number theory 1647
D-ism versus dot-age 923
Dante 1868 2117
Darmstaetter prize 2129
Davis, M. and science 1610
Davis, On probability 1968
Davis, On Sylvester’s method 1036
De Morgan, Imagination in m 268
De Morgan, Imagination in m, Ad infinitum 1949
De Morgan, Imagination in m, Anagram on Macaulay’s name 996
De Morgan, Imagination in m, Anagrams on his name 947
De Morgan, Imagination in m, Anagrams on Newton’s name 1028
De Morgan, Imagination in m, And the actuary 945
De Morgan, Imagination in m, Antagonism of m. and logic 1316
De Morgan, Imagination in m, Budget of paradoxes 2106
De Morgan, Imagination in m, Euclid not faultless 1823
De Morgan, Imagination in m, Euclid’s elements compared with Newton’s Principia 964
De Morgan, Imagination in m, Euler and Diderot 966
De Morgan, Imagination in m, Geometry before algebra 1872
De Morgan, Imagination in m, Lagrange and theparallel axiom 984
De Morgan, Imagination in m, On algebra as an art 1711
De Morgan, Imagination in m, On assumptions in geometry 1812
De Morgan, Imagination in m, On Bacon’s knowledge of m. 918
De Morgan, Imagination in m, On correlation in m. 626
De Morgan, Imagination in m, On difficulties in m. 621
De Morgan, Imagination in m, On divergent series 1936 1936
De Morgan, Imagination in m, On double algebra and quaternions 1720
De Morgan, Imagination in m, On D’Israeli’s six follies of science 2107
De Morgan, Imagination in m, On Euclid in schools 1819
De Morgan, Imagination in m, On Euclid’s rigor 1831
De Morgan, Imagination in m, On extempore lectures 640
De Morgan, Imagination in m, On German metaphysics 1416
De Morgan, Imagination in m, On integration 1919
De Morgan, Imagination in m, On life tables 946
De Morgan, Imagination in m, On m. and physics 1638
De Morgan, Imagination in m, On m. and science 1637
De Morgan, Imagination in m, On math, notation 1216
De Morgan, Imagination in m, On math’ns. 812
De Morgan, Imagination in m, On notions of cyclometers 2108
De Morgan, Imagination in m, On numerical calculations 602
De Morgan, Imagination in m, On paradoxers 2106
De Morgan, Imagination in m, On practice problems 603
De Morgan, Imagination in m, On proof 2102
De Morgan, Imagination in m, On reading algebraic works 601
De Morgan, Imagination in m, On St. Vincent 2109
De Morgan, Imagination in m, On the advantages of algebra 1701
De Morgan, Imagination in m, On the calculus in elementary instruction 1916
De Morgan, Imagination in m, On the fourth dimension 2032
De Morgan, Imagination in m, On the number of the beast 2161
De Morgan, Imagination in m, On the value of the history of m. 616 616
De Morgan, Imagination in m, On translations of Euclid 963
De Morgan, Imagination in m, On trigonometry 1886
De Morgan, Imagination in m, Pseudomath and graphomath 2101
De Morgan, Imagination in m, Where Euclid failed 2114
De Morgan, M. as an exercise in reasoning 430
Decimal fractions 1217 1614
Decker 2142
Dedekind, Zeno’s Problem 1938
Deduction, And Intuition 1413
Deduction, M. based on 224
Deduction, Why necessary 219
Dee, On the nature of m. 261
Definitions of m. Chapter I.
Democritus 321
Demoivre, His death 944
Demonstrations, In m. 1423
Demonstrations, Locke on 236
Demonstrations, Outside of m. 1312
Descartes, Estimate of m. 1426
Descartes, Hankel on 1404
Descartes, Math’ns alone arrive at proofs 817
Descartes, Mill on 950
Descartes, On intuition and deduction 219 1413
Descartes, On m. and philosophy 1426 1434
Descartes, On probable truth 1964
Descartes, On the certainty of m. 1628
Descartes, On the method of the ancients 1874
Descartes, On the use of the term m. 102
Descartes, The most completely math, type of mind 948
Descartes, Unpopularity of 1601
Descriptive geometry 1882 1883
Dessoir, M. and medicine 1686
| Determinants 1740 1741
Diderot and Euler 966
Differential calculus Chapter XIX
Differential calculus and scientific physics 1549
Differential equations 1549—1552 1924 1926
Difficulties in m. 240 521 605—607 634 734 735
Dillmann, Ancient and modem geometry compared 716
Dillmann, M. a royal science 204
Dillmann, Number regulates all things 1606
Dillmann, On ignorance of 807
Dillmann, On m. as a high school subject 401
Dillmann, On m. as a language 1204
Dirichlet, As a student of Gauss 977
Dirichlet, On math, discovery 626
Discovery in m. 617—622 625
Disquisitiones Arithmeticae 975 977 1637 1638
Divergent series 1935—1937
Divine character of m. 325 329
Division of labor in m. 631 632
Dodgson, Ignes fatui in m. 2103
Dodgson, On the charm of 302
Dodgson, Pythagorean theorem 1864
Dolbear, On experiment in math, research 613
Domus Lescmia, Anagram on 2155
Donne 1816
Durfee, On Sylvester’s forgetfulness 1038
Dutton, On the ethical value of m. 446
D’Alembert, Algebra is generous 1702
D’Alembert, Geometrical versus physical truths 1809
D’Alembert, Geometry as logic 1311
D’Alembert, On rigor in m. 636
D’Alembert, Standards in m. 1861
D’Israeli 2007
Early study of 1826
Echols, On the ethical value of m. 466
Economics and m. 1593 1594
Edinburgh Review, M. and astronomy 1666 1666
Education, Bain on m. in 442
Education, Calculus in elementary 1916 1917
Education, M. as a common school subject 432
Education, M. as an instrument in 413 414
Education, M. in primary 431
Education, Place of m. in 334 408
Education, Study of arithmetic better than rhetoric 408
Electricity, M. and the theory of 1554
Elegance in m 640 728
Ellis, On aptitude of Anglo-Danes for m. 836
Ellis, On Newton’s genius 1014
Ellis, On poetry and m. 1124
Ellis, On precocity in m. 836
Emerson, On Newton and Laplace 1003
Encouragement and guide 18 20
Encouragement and guide, Inspiration and aspiration 1821
Encouragement and guide, Not altogether faultless 1823
Encouragement and guide, Not fitted for boys 1825
Encouragement and guide, Only a small part of m. 1824
Encouragement and guide, The only perfect model 1822
Endowment of math’ns 818
Enthusiasm 801
Equality, Grassmann’s definition of 106
Equations 104 526 1891 1892
Error in Fermat’s law of prime numbers 967
Errors, theory of 1973 1974
Esthetic element in m. 453—455 640 1102 1105 1852 1853
Esthetic tact 622
Esthetic value of m. 1848 1850
Esthetics, Relation of m. to 318 319 439
Estimates of m. Chapter III (see also 1317 1324 1325 1427 1504 1508)
Ethical value of m. 402 438 446 449 455—457
Euclid, And Ptolemy 951 1878
Euclid, And the student 952
Euclid, Bolzano cured by 929
Euclidean geometry 711 713 715
Euclid’s Elements, Compared with the Principia 954
Euclid’s Elements, Greatest of human productions 1817
Euclid’s Elements, Greatness of 955
Euclid’s Elements, In English schools 1819
Euclid’s Elements, Performance in 1818
Euclid’s Elements, Translations of 953
Eudoxus 904
Euler, His general knowledge 958
Euler, His knowledge of the Aeneid 959
Euler, Merit of his work 956
Euler, On theoretical investigations 657
Euler, Pencil outruns intelligence 626
Euler, The creator of modem math thought 957
Euler, the myriad-minded 255
EUREKA 911 917
Euripedes 1568
Everett, Arithmetic a master-key 1571
Everett, Estimate of m. 326
Everett, On m. and law 1698
Everett, Theoretical investigations 656
Everett, Value of math, training 443
Exactness (see Precision)
Examinations 407
examples 422
Experiment in m. 612 613 1530 1531
Extent of his work 960
Extent of his work, And Diderot 966
Extent of his work, As a computer 962 963
Extent of his work, His math, power 964
Extent of his work, His Tmtamen novae iheorae musicae 965
Extent of his work, “Analysis incarnate” 961
Extent of m. 737 738
Fairbaim 528
Fallacies 610
Faraday, M. and physics 1554
Fermat 255 967 1902
Fermat’s theorem 2129
Figures, Battalions of 1631
Figures, Committee of Ten on 524
Figures, Democritus view of 321
Figures, Fine Art, M. as a Chapter XI.
Fine, Definition of number 1610
Fine, On the imaginary 1732
Fisher, M. and economics 1694
Fiske, Advantage of m. as logic 1324
Fiske, Fitch, Definition of m. 126
Fiske, Imagination in m. 266
Fiske, M. in education 429
Fiske, Purpose of teaching arithmetic 1624 1626
Fizi, Origin of the Liliwati 996
Flamsteed, Anagram on 968
Fluxions 1911 1915 1942—1944
Fontenelle, Bernoulli’s tomb 920
Formulas, Compared to focus of a lens 1515
Forsyth, On Cayley 932—934
Forsyth, On direct usefulness of math, results 664
Forsyth, On function theory 1764 1766
Forsyth, On invariants 1747
Forsyth, On m. and physics 1639
Forsyth, On theoretical investigations 664
Forsyth, On _m. and applications 1640
Forsyth, Prowess of m. 704
Foster, On experiment in m. 1631
Foster, On m. and physics 1616 1622
Foundations of m. 717
Four, The number 2147 2148
Fourier, Hamilton on 969
Fourier, Math, analysis coextensive with nature 218
Fourier, On m. and physics 1662 1663
Fourier, On math. reseafch 612
Fourier, On the advantage of the Cartesian method 1889
Fourier’s theorem 1928
Fourth dimension 2032 2039
Frankland, A., M. and chemistry 1660
Frankland, W. B., Motto of Pythagorean brotherhood 1833
Frankland, W. B., The most beautiful truth in geometry 1867
Franklin, B., Estimate of m. 322
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