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Problems in real and functional analysis / Alberto Torchinsky.

By: Material type: TextTextSeries: Graduate studies in mathematics ; v 166.Publication details: Providence : American Mathematical Society, ©2015.Description: x, 467 pages ; 26 cmISBN:
  • 9781470420574 (alk. paper)
Subject(s): DDC classification:
  • 515.7 23 T676
Contents:
Chapter 1. Set theory and metric spaces -- Chapter 2. Measures -- Chapter 3. Lebesgue measure -- Chapter 4. Measurable and integrable functions -- Chapter 5. $L^p$ spaces -- Chapter 6. Sequences of functions -- Chapter 7. Product measures -- Chapter 8. Normed linear spaces. Functionals -- Chapter 9. Normed linear spaces. Linear operators -- Chapter 10. Hilbert spaces -- Chapter 11. Set theory and metric spaces -- Chapter 12. Measures -- Chapter 13. Lebesgue measure -- Chapter 14. Measurable and integrable functions -- Chapter 15. $L^p$ spaces -- Chapter 16. Sequences of functions -- Chapter 17. Product measures -- Chapter 18. Normed linear spaces. Functionals -- Chapter 19. Normed linear spaces. Linear operators -- Chapter 20. Hilbert spaces.
Summary: It is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand the definitions, comb through the theorems and proofs, and think at length about the mathematics. The purpose of this book is to complement the existing literature in introductory real and functional analysis at the graduate level with a variety of conceptual problems (1,457 in total), ranging from easily accessible to thought provoking, mixing the practical and the theoretical aspects of the subject. Problems are grouped into ten chapt.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.7 T676 (Browse shelf(Opens below)) Checked out 07/02/2025 138017
Total holds: 0

Includes index.

Chapter 1. Set theory and metric spaces --
Chapter 2. Measures --
Chapter 3. Lebesgue measure --
Chapter 4. Measurable and integrable functions --
Chapter 5. $L^p$ spaces --
Chapter 6. Sequences of functions --
Chapter 7. Product measures --
Chapter 8. Normed linear spaces. Functionals --
Chapter 9. Normed linear spaces. Linear operators --
Chapter 10. Hilbert spaces --
Chapter 11. Set theory and metric spaces --
Chapter 12. Measures --
Chapter 13. Lebesgue measure --
Chapter 14. Measurable and integrable functions --
Chapter 15. $L^p$ spaces --
Chapter 16. Sequences of functions --
Chapter 17. Product measures --
Chapter 18. Normed linear spaces. Functionals --
Chapter 19. Normed linear spaces. Linear operators --
Chapter 20. Hilbert spaces.

It is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand the definitions, comb through the theorems and proofs, and think at length about the mathematics. The purpose of this book is to complement the existing literature in introductory real and functional analysis at the graduate level with a variety of conceptual problems (1,457 in total), ranging from easily accessible to thought provoking, mixing the practical and the theoretical aspects of the subject. Problems are grouped into ten chapt.

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