Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Problems in Real and Functional Analysis
 
Alberto Torchinsky Indiana University, Bloomington, IN
Problems in Real and Functional Analysis
Hardcover ISBN:  978-1-4704-2057-4
Product Code:  GSM/166
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-2781-8
Product Code:  GSM/166.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Hardcover ISBN:  978-1-4704-2057-4
eBook: ISBN:  978-1-4704-2781-8
Product Code:  GSM/166.B
List Price: $220.00 $177.50
MAA Member Price: $198.00 $159.75
AMS Member Price: $176.00 $142.00
Problems in Real and Functional Analysis
Click above image for expanded view
Problems in Real and Functional Analysis
Alberto Torchinsky Indiana University, Bloomington, IN
Hardcover ISBN:  978-1-4704-2057-4
Product Code:  GSM/166
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-2781-8
Product Code:  GSM/166.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Hardcover ISBN:  978-1-4704-2057-4
eBook ISBN:  978-1-4704-2781-8
Product Code:  GSM/166.B
List Price: $220.00 $177.50
MAA Member Price: $198.00 $159.75
AMS Member Price: $176.00 $142.00
  • Book Details
     
     
    Graduate Studies in Mathematics
    Volume: 1662015; 467 pp
    MSC: Primary 26; 28; 46; 47

    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 chapters covering the main topics usually taught in courses on real and functional analysis. Each of these chapters opens with a brief reader's guide stating the needed definitions and basic results in the area and closes with a short description of the problems.

    The Problem chapters are accompanied by Solution chapters, which include solutions to two-thirds of the problems. Students can expect the solutions to be written in a direct language that they can understand; usually the most “natural” rather than the most elegant solution is presented.

    Readership

    Graduate students and researchers interested in learning and teaching real and functional analysis at the graduate level.

  • Table of Contents
     
     
    • Part 1. Problems
    • 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
    • Part 2. Solutions
    • 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
  • Reviews
     
     
    • The book is written in a very clear style and is very useful for graduate students to extend their vision of real and functional analysis.

      Mohammad Sal Moslehian, Zentralblatt MATH
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Examination Copy – for faculty considering an AMS textbook for a course
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1662015; 467 pp
MSC: Primary 26; 28; 46; 47

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 chapters covering the main topics usually taught in courses on real and functional analysis. Each of these chapters opens with a brief reader's guide stating the needed definitions and basic results in the area and closes with a short description of the problems.

The Problem chapters are accompanied by Solution chapters, which include solutions to two-thirds of the problems. Students can expect the solutions to be written in a direct language that they can understand; usually the most “natural” rather than the most elegant solution is presented.

Readership

Graduate students and researchers interested in learning and teaching real and functional analysis at the graduate level.

  • Part 1. Problems
  • 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
  • Part 2. Solutions
  • 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
  • The book is written in a very clear style and is very useful for graduate students to extend their vision of real and functional analysis.

    Mohammad Sal Moslehian, Zentralblatt MATH
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.