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Solutions Manual to A Modern Theory of Integration
Robert G. Bartle
:
Eastern Michigan University, Ypsilanti, MI and University of Illinois, Urbana, Urbana, IL
| Softcover ISBN: | 978-0-8218-2821-2 |
| Product Code: | GSM/32.M |
| List Price: | $29.00 |
| MAA Member Price: | $26.10 |
| AMS Member Price: | $23.20 |
| eBook ISBN: | 978-1-4704-2087-1 |
| Product Code: | GSM/32.M.E |
| List Price: | $25.00 |
| MAA Member Price: | $22.50 |
| AMS Member Price: | $20.00 |
| Softcover ISBN: | 978-0-8218-2821-2 |
| eBook: ISBN: | 978-1-4704-2087-1 |
| Product Code: | GSM/32.M.B |
| List Price: | $54.00 $41.50 |
| MAA Member Price: | $48.60 $37.35 |
| AMS Member Price: | $43.20 $33.20 |
Click above image for expanded view
Solutions Manual to A Modern Theory of Integration
Robert G. Bartle
:
Eastern Michigan University, Ypsilanti, MI and University of Illinois, Urbana, Urbana, IL
| Softcover ISBN: | 978-0-8218-2821-2 |
| Product Code: | GSM/32.M |
| List Price: | $29.00 |
| MAA Member Price: | $26.10 |
| AMS Member Price: | $23.20 |
| eBook ISBN: | 978-1-4704-2087-1 |
| Product Code: | GSM/32.M.E |
| List Price: | $25.00 |
| MAA Member Price: | $22.50 |
| AMS Member Price: | $20.00 |
| Softcover ISBN: | 978-0-8218-2821-2 |
| eBook ISBN: | 978-1-4704-2087-1 |
| Product Code: | GSM/32.M.B |
| List Price: | $54.00 $41.50 |
| MAA Member Price: | $48.60 $37.35 |
| AMS Member Price: | $43.20 $33.20 |
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Book DetailsGraduate Studies in MathematicsVolume: 32; 2001; 72 ppMSC: Primary 26; Secondary 28
This solutions manual is geared toward instructors for use as a companion volume to the book, A Modern Theory of Integration (AMS Graduate Studies in Mathematics series, Volume 32).
-
Table of Contents
-
Cover
-
Title
-
Copyright
-
Contents
-
Preface
-
Part 1 Integration on Compact Intervals
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1. Gauges and Integrals
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2. Some Examples
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3. Basic Properties of the Integral
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4. The Fundamental Theorems of Calculus
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5. The Saks-Henstock Lemma
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6. Measurable Functions
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7. Absolute Integrability
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8. Convergence Theorems
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9. Integrability and Mean Convergence
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10. Measure, Measurability, and Multipliers
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11. Modes of Convergence
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12. Applications to Calculus
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13. Substitution Theorems
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14. Absolute Continuity
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Part 2 Integration on Infinite Intervals
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15. Introduction to Part 2
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16. Infinite Intervals
-
17. Further Re-examination
-
18. Measurable Sets
-
19. Measurable Functions
-
20. Sequences of Functions
-
Appendixes
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A: Limits superior and inferior
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B: Unbounded sets and sequences
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C: The arctangent lemma
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D: Outer measure
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E: Lebesgue's differentiation theorem
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F: Vector spaces
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G: Semimetric spaces
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H: The Riemann-Stieltjes integral
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I: Normed linear spaces
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Some partial solutions
-
References
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Index
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A
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B
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C
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D
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E
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F
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G
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H
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I
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J
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K
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L
-
M
-
N
-
O
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P
-
R
-
S
-
T
-
U
-
V
-
W
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X
-
Z
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Symbol Index
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Back Cover
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
Volume: 32; 2001; 72 pp
MSC: Primary 26; Secondary 28
This solutions manual is geared toward instructors for use as a companion volume to the book, A Modern Theory of Integration (AMS Graduate Studies in Mathematics series, Volume 32).
-
Cover
-
Title
-
Copyright
-
Contents
-
Preface
-
Part 1 Integration on Compact Intervals
-
1. Gauges and Integrals
-
2. Some Examples
-
3. Basic Properties of the Integral
-
4. The Fundamental Theorems of Calculus
-
5. The Saks-Henstock Lemma
-
6. Measurable Functions
-
7. Absolute Integrability
-
8. Convergence Theorems
-
9. Integrability and Mean Convergence
-
10. Measure, Measurability, and Multipliers
-
11. Modes of Convergence
-
12. Applications to Calculus
-
13. Substitution Theorems
-
14. Absolute Continuity
-
Part 2 Integration on Infinite Intervals
-
15. Introduction to Part 2
-
16. Infinite Intervals
-
17. Further Re-examination
-
18. Measurable Sets
-
19. Measurable Functions
-
20. Sequences of Functions
-
Appendixes
-
A: Limits superior and inferior
-
B: Unbounded sets and sequences
-
C: The arctangent lemma
-
D: Outer measure
-
E: Lebesgue's differentiation theorem
-
F: Vector spaces
-
G: Semimetric spaces
-
H: The Riemann-Stieltjes integral
-
I: Normed linear spaces
-
Some partial solutions
-
References
-
Index
-
A
-
B
-
C
-
D
-
E
-
F
-
G
-
H
-
I
-
J
-
K
-
L
-
M
-
N
-
O
-
P
-
R
-
S
-
T
-
U
-
V
-
W
-
X
-
Z
-
Symbol Index
-
Back Cover
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.