Lebesgue's Theory of Integration

... the epitome of what a mathematical history should be. Science

• Riemann's theory of integration The development of riemann's ideas: 1870-80 Set theory and the theory of integration The end of the century: A period of transition The creation of modern integration theory Pioneering applications of the Lebesgue integral Epilogue: The Lebesgue-Stieltjes integral Appendix: Dini's theorem on the differentiability of continuous functions Glossary Special symbols List of abbreviations Bibliography Index.