[CONTENTS]

Chapter Page
I. Definitions and Object of Mathematics [1]
II. The Nature of Mathematics [10]
III. Estimates of Mathematics [39]
IV. The Value of Mathematics [49]
V. The Teaching of Mathematics [72]
VI. Study and Research in Mathematics [86]
VII. Modern Mathematics [108]
VIII. The Mathematician [121]
IX. Persons and Anecdotes (A-M) [135]
X. Persons and Anecdotes (N-Z) [166]
XI. Mathematics as a Fine Art [181]
XII. Mathematics as a Language [194]
XIII. Mathematics and Logic [201]
XIV. Mathematics and Philosophy [209]
XV. Mathematics and Science [224]
XVI. Arithmetic [261]
XVII. Algebra [275]
XVIII. Geometry [292]
XIX. The Calculus and Allied Topics [323]
XX. The Fundamental Concepts of Time and Space [345]
XXI. Paradoxes and Curiosities [364]
Index [385]


Alles Gescheite ist schon gedacht worden; man muss nur versuchen, es noch einmal zu denken.—Goethe.

Sprüche in Prosa, Ethisches, I. 1.

A great man quotes bravely, and will not draw on his invention when his memory serves him with a word as good.—Emerson.

Letters and Social Aims, Quotation and Originality.