Lebesgue's theory of integration: Its origins and development

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.