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Field name	Details
Dewey Class	515/.42
Title	A modern theory of integration / ([EBook] ) / Robert G. Bartle.
Author	Bartle, Robert Gardner, , 1927-
Publication	Providence, R.I. : : American Mathematical Society, , c2001.
Physical Details	1 online resource (xiv, 458 p. : ill.)
Series	Graduate studies in mathematics ; 32
ISBN	9781470420864 (online)
Contents note	Chapter 1. Gauges and integrals: Chapter 2. Some examples: Chapter 3. Basic properties of the integral: Chapter 4. The fundamental theorems of calculus: Chapter 5. The Saks-Henstock lemma: Chapter 6. Measurable functions: Chapter 7. Absolute integrability: Chapter 8. Convergence theorems: Chapter 9. Integrability and mean convergence: Chapter 10. Measure, measurability, and multipliers: Chapter 11. Modes of convergence: Chapter 12. Applications to calculus: Chapter 13. Substitution theorems: Chapter 14. Absolute continuity: Chapter 15. Introduction to Part 2: Chapter 16. Infinite intervals: Chapter 17. Further re-examination: Chapter 18. Measurable sets: Chapter 19. Measurable functions: Chapter 20. Sequences of functions: Appendix A. Limits superior and inferior: Appendix B. Unbounded sets and sequences: Appendix C. The arctangent lemma: Appendix D. Outer measure: Appendix E. Lebesgue's differentiation theorem: Appendix F. Vector spaces: Appendix G. Semimetric spaces: Appendix H. Riemann-Stieltjes integral: Appendix I. Normed linear spaces: Some partial solutions:
Mode of acces to digital resource	Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://www.ams.org/gsm/032
See Also	https://doi.org/10.1090/gsm/032
Links to Related Works	Subject References: Integrals . Authors: Bartle, Robert Gardner, 1927- . Series: Graduate studies in mathematics . Classification: 515/.42 .

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A modern theory of integration /

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