$230.00
Jie Xiao PhD (Author)Series: Mathematics Research Developments
BISAC: MAT034000
Target Audience: Senior undergraduate students and graduate students
This textbook is based on three closely related courses: 1) Integration and Metric Spaces; 2) Lebesgue Integration; 3) Functional Analysis. Although the contents have been used for joint undergraduate and graduate courses, this textbook is designed primarily for senior undergraduate students. The prerequisites of this textbook are deliberately modest, and it is assumed that the students have some familiarity with calculus and linear algebra plus the basic (direct, indirect) proof methods.
Preface
Chapter 1. Preliminaries
Chapter 2. Riemann Integral
Chapter 3.Riemann-Stieltjes Integrals
Chapter 4. Lebesgue-Radon-Stieltjes Integrals
Chapter 5. Absolute Continuities in Lebesgue Integrals
Chapter 6. Metric Spaces
Chapter 7. Continuous Mappings
Chapter 8. Normed Linear Spaces
Chapter 9. Banach Spaces via Operators and Functionals
Chapter 10. Hilbert Spaces and Their Operators
Problems
Hints or Solutions
References
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