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, TABLE OF CONTENTS
Instructor's Solutions Manual for Analysis With an Introduction to Proof, 6th
Edition
ST
Authors: Steven R. Lay & Richard G. Ligo
1. LOGIC AND PROOF
L
1.1 Logical Connectives
UV
A
1.2 Quantifiers
1.3 Techniques of Proof: I
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1.4 Techniques of Proof: II
2. SETS AND FUNCTIONS
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2.1 Basic Set Operations
2.2 Relations
A
2.3 Functions
2.4 Cardinality
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2.5 Axioms for Set Theory
3. THE REAL NUMBERS
S
3.1 Natural Numbers and Induction
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3.2 Ordered Fields
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3.3 The Completeness Axiom
3.4 Topology of the Real Numbers
IO
3.5 Compact Sets
3.6 Metric Spaces
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4. SEQUENCES
4.1 Convergence
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4.2 Limit Theorems
4.3 Monotone Sequences and Cauchy Sequences
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4.4 Subsequences
SO
5. LIMITS AND CONTINUITY
5.1 Limits of Functions
5.2 Continuous Functions
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5.3 Properties of Continuous Functions
5.4 Uniform Continuity
5.5 Continuity in Metric Space
6. DIFFERENTIATION
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6.1 The Derivative
6.2 The Mean Value Theorem
6.3 L'Hôspital's Rule
6.4 Taylor's Theorem
7. INTEGRATION
, 7.1 The Riemann Integral
7.2 Properties of the Riemann Integral
7.3 The Fundamental Theorem of Calculus
8. INFINITE SERIES
8.1 Convergence of Infinite Series
ST
8.2 Convergence Tests
8.3 Power Series
L
9. SEQUENCES AND SERIES OF FUNCTIONS
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9.1 Pointwise and Uniform Convergence
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9.2 Application of Uniform Convergence
9.3 Uniform Convergence of Power Series
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, Instructor’s Solutions Manual
to accompany
ST
UV
ANALYSIS
with an Introduction
to Proof
IA
6th Edition
?_
AP
Steven R. Lay and Richard G. Ligo
Lee University Gannon University
PR
OV
© Copyright 2024 by Pearson Education, Inc. or its affiliates
ED
Upper Saddle River, New Jersey 07458
??
Copyright © 2024 by Pearson Education, Inc. or its affiliates
ED
OV
PR
AP
?_
IA
UV
ST
, TABLE OF CONTENTS
Instructor's Solutions Manual for Analysis With an Introduction to Proof, 6th
Edition
ST
Authors: Steven R. Lay & Richard G. Ligo
1. LOGIC AND PROOF
L
1.1 Logical Connectives
UV
A
1.2 Quantifiers
1.3 Techniques of Proof: I
U
1.4 Techniques of Proof: II
2. SETS AND FUNCTIONS
N
IA
2.1 Basic Set Operations
2.2 Relations
A
2.3 Functions
2.4 Cardinality
M
?_
2.5 Axioms for Set Theory
3. THE REAL NUMBERS
S
3.1 Natural Numbers and Induction
AP
3.2 Ordered Fields
N
3.3 The Completeness Axiom
3.4 Topology of the Real Numbers
IO
3.5 Compact Sets
3.6 Metric Spaces
PR
T
4. SEQUENCES
4.1 Convergence
U
4.2 Limit Theorems
4.3 Monotone Sequences and Cauchy Sequences
OV
L
4.4 Subsequences
SO
5. LIMITS AND CONTINUITY
5.1 Limits of Functions
5.2 Continuous Functions
ED
5.3 Properties of Continuous Functions
5.4 Uniform Continuity
5.5 Continuity in Metric Space
6. DIFFERENTIATION
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6.1 The Derivative
6.2 The Mean Value Theorem
6.3 L'Hôspital's Rule
6.4 Taylor's Theorem
7. INTEGRATION
, 7.1 The Riemann Integral
7.2 Properties of the Riemann Integral
7.3 The Fundamental Theorem of Calculus
8. INFINITE SERIES
8.1 Convergence of Infinite Series
ST
8.2 Convergence Tests
8.3 Power Series
L
9. SEQUENCES AND SERIES OF FUNCTIONS
UV
9.1 Pointwise and Uniform Convergence
A
9.2 Application of Uniform Convergence
9.3 Uniform Convergence of Power Series
U
N
IA
A
M
?_
S
AP
N
IO
PR
T
U
OV
L
SO
ED
??
, Instructor’s Solutions Manual
to accompany
ST
UV
ANALYSIS
with an Introduction
to Proof
IA
6th Edition
?_
AP
Steven R. Lay and Richard G. Ligo
Lee University Gannon University
PR
OV
© Copyright 2024 by Pearson Education, Inc. or its affiliates
ED
Upper Saddle River, New Jersey 07458
??
Copyright © 2024 by Pearson Education, Inc. or its affiliates
