Varieties of Integration (Hardcover)

Preface; 1. A historical introduction; 2. The Riemann integral; 3. The Darboux integral; 4. A functional zoo; 5. Another approach: measure theory; 6. The Lebesgue integral; 7. The gauge integral; 8. Stieltjes-type integrals and extensions; 9. A look back; 10. Afterword: L2 spaces and Fourier series; Appendices: a compendium of definitions and results; Index.